From 25beb57a1c4af2830f1acc455d7efb720d580c40 Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Mon, 23 Jun 2025 09:10:15 -0700 Subject: [PATCH 01/14] Remove bolded text from figures --- sankey.tex | 10 +++------- 1 file changed, 3 insertions(+), 7 deletions(-) diff --git a/sankey.tex b/sankey.tex index ad76145..e0865e4 100644 --- a/sankey.tex +++ b/sankey.tex @@ -93,10 +93,6 @@ \node[font=\tiny, anchor=west] at ([yshift=0mm,xshift=3mm]#1.center) {\qq{#1}: \Lab{#2}}; } - \newcommand\labelbold[2]{ % valname - \node[font=\tiny, anchor=west] - at ([yshift=0mm,xshift=3mm]#1.center) {\textbf{\qq{#1}: \Lab{#2}}}; - } \sankeyset{ def data/.code args={#1/#2/#3}{% node name/label/values @@ -227,9 +223,9 @@ \sankeyend[water]{BMBa}; \labelright{BMBa}{vBMB} \sankeyoutin[ice-to-water]{GZ}{GZa}; \sankeyadvance[water]{GZa}{10mm}; - \sankeyend[water]{GZa}; \labelbold{GZa}{vGZRET} + \sankeyend[water]{GZa}; \labelright{GZa}{vGZRET} \sankeyadvance[out-blue]{FRONTRETa}{10mm}; - \sankeyend[out-blue]{FRONTRETa}; \labelbold{FRONTRETa}{vFRONTRET} + \sankeyend[out-blue]{FRONTRETa}; \labelright{FRONTRETa}{vFRONTRET} \sankeyadvance{CALV}{5mm}; \sankeyoutin{CALV}{CALVa}; @@ -256,7 +252,7 @@ \sankeynode{name=ML, quantity=\Q{vML}, at={[yshift=6mm]RF.north}, anchor=right, angle=-45} \node[font=\tiny, anchor=east] - at ([xshift=-3mm,yshift=2mm]ML.west) {\textbf{Drawdown or retreat: \qq{ML}}}; + at ([xshift=-3mm,yshift=2mm]ML.west) {Drawdown or retreat: \qq{ML}}; % frontal advance next to drawdown (mass loss) \sankeynode{name=FRONTADVi, quantity=\Q{vFRONTADV}, From 947dbf9c86a9cbc0ffd1904c6841d26a25e43e5a Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Mon, 23 Jun 2025 12:30:22 -0700 Subject: [PATCH 02/14] Temporal overlap --- ms.org | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/ms.org b/ms.org index 41008f4..efc13a7 100644 --- a/ms.org +++ b/ms.org @@ -404,7 +404,11 @@ In Antarctica, we use the MEaSUREs Antarctic Boundaries for IPY 2007-2009 from S *** Temporal alignment -Most values come from time series that we limit to 2010 through 2019, or are provided for that time span. Some values cover different periods, and in these cases we use the closest available time span to 2010 through 2019 (Tables \ref{tab:gl} and \ref{tab:aq}.). +Most values come from time series that we limit to 2010 through 2019, or are provided for that time span. Some values cover different periods, and in these cases we use the closest available time span to 2010 through 2019 (Tables \ref{tab:gl} and \ref{tab:aq}.). The impact of non-overlap is a function of the scale and variability of the term. + +The largest shift in Greenland is 2013 -- 2022 vs the baseline 2010 -- 2019, or approximately a 30 \% non-overlap. The term is the ice shelf melt and freeze product which is small, and we estimate the variability as medium due to the oceanic forcing. It is less variable than atmospherically controlled SMB terms (which also happen to be large) and more variable than terms controlled by glacier large-scale dynamics. + +The largest shift in Antarctica is 1997 - 2021 vs the baseline 2010 -- 2019. As discussed this term is not defined outside of the Amundsen sea sector, and remains an important area for future studies to help reduced uncertainties and close the budget of the ice sheet mass balance work presented here. *** Rounding From 4be896524ee7c2f8dfcd27a3f9ae176d6d97aee1 Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Mon, 23 Jun 2025 12:57:48 -0700 Subject: [PATCH 03/14] Use 'mass loss (gain)' not 'drawdown/retreat (buildup/expansion)' --- ms.org | 4 ++-- sankey.tex | 4 ++-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/ms.org b/ms.org index efc13a7..28e73a0 100644 --- a/ms.org +++ b/ms.org @@ -321,7 +321,7 @@ We warn that other use cases should carefully consider assumptions of tracer tre ** Mass loss and gain -We calculate mass loss and gain from the sum of all outputs minus inputs. In the Sankey diagrams we label mass loss as `drawdown or retreat', and mass gain as `build-up or expansion'. +We calculate mass loss and gain from the sum of all outputs minus inputs. ** Uncertainty @@ -603,7 +603,7 @@ Finally, although we argue for gross, not net, and inclusion of constituent term We have been using the terms `mass loss' vs `mass gain' or `drawdown or retreat' vs `build-up or expansion'. The specific cause of these processes can be thought of as a recursive application of the methods, tables, and graphics here. That is, the imbalance is due to changes from some balanced baseline and the changes are likely all of the terms here - decreases or increases of inputs offset by decreases or increases of outputs. -For example, the red `drawdown or retreat' input in Fig. \ref{fig:gl} could be an inset Sankey diagram showing changes in all of the terms relative to some steady-state baseline. Similarly, the value in a table for a `mass loss' key could be a single value, or a nested table showing all the terms that contribute to that value. +For example, the red `mass loss' input in Fig. \ref{fig:gl} could be an inset Sankey diagram showing changes in all of the terms relative to some steady-state baseline. Similarly, the value in a table for a `mass loss' key could be a single value, or a nested table showing all the terms that contribute to that value. ** Freshwater export, mass loss, and anomalies diff --git a/sankey.tex b/sankey.tex index e0865e4..c97bed1 100644 --- a/sankey.tex +++ b/sankey.tex @@ -252,7 +252,7 @@ \sankeynode{name=ML, quantity=\Q{vML}, at={[yshift=6mm]RF.north}, anchor=right, angle=-45} \node[font=\tiny, anchor=east] - at ([xshift=-3mm,yshift=2mm]ML.west) {Drawdown or retreat: \qq{ML}}; + at ([xshift=-3mm,yshift=2mm]ML.west) {Mass loss: \qq{ML}}; % frontal advance next to drawdown (mass loss) \sankeynode{name=FRONTADVi, quantity=\Q{vFRONTADV}, @@ -265,7 +265,7 @@ \sankeynode{name=MGa, quantity=\qq{MG}, angle=-35, at={[xshift=5mm,yshift=-3mm]MG.right}, anchor=right} \node[font=\tiny, anchor=east] - at ([yshift=0mm,xshift=0mm]MGa.right) {Build-up or expansion: \qq{MGa}}; + at ([yshift=0mm,xshift=0mm]MGa.right) {Mass gain: \qq{MGa}}; \sankeyoutin[ice-to-black]{MG}{MGa}; \sankeyadvance[black]{MGa}{3mm} \sankeyend[black]{MGa} \sankeynode{name=FRONTADVi, quantity=\Q{vFRONTADV}, From 36cabbde38d40a9b8413ef651b25c5d249b5e9cd Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Mon, 23 Jun 2025 12:30:36 -0700 Subject: [PATCH 04/14] Minor edits --- library.bib | 53 +++++++++++++++++++++++++++++++++++++++++++++++++++ ms.org | 55 +++++++++++++++++++++++++---------------------------- 2 files changed, 79 insertions(+), 29 deletions(-) diff --git a/library.bib b/library.bib index 36b7757..63dd627 100644 --- a/library.bib +++ b/library.bib @@ -1,3 +1,56 @@ +@article{mottram_2021, + author = {Mottram, Ruth and Hansen, Nicolaj and Kittel, Christoph and van Wessem, J. Melchior + and Agosta, Cécile and Amory, Charles and Boberg, Fredrik and van de Berg, Willem + Jan and Fettweis, Xavier and Gossart, Alexandra and van Lipzig, Nicole P. M. and + van Meijgaard, Erik and Orr, Andrew and Phillips, Tony and Webster, Stuart and + Simonsen, Sebastian B. and Souverijns, Niels}, + title = {What is the surface mass balance of {A}ntarctica? An intercomparison of regional + climate model estimates}, + journal = {The Cryosphere}, + year = 2021, + volume = 15, + number = 8, + pages = {3751–3784}, + month = 8, + ISSN = {1994-0424}, + DOI = {10.5194/tc-15-3751-2021}, + publisher = {Copernicus GmbH}} + +@article{zhang_2024, + author = {Zhang, Tong and Colgan, William and Wansing, Agnes and Løkkegaard, Anja and Leguy, + Gunter and Lipscomb, William H. and Xiao, Cunde}, + title = {Evaluating different geothermal heat-flow maps as basal boundary conditions during + spin-up of the {G}reenland ice sheet}, + journal = {The Cryosphere}, + year = 2024, + volume = 18, + number = 1, + pages = {387–402}, + month = 1, + ISSN = {1994-0424}, + DOI = {10.5194/tc-18-387-2024}, + publisher = {Copernicus GmbH}} + +@article{colgan_2022, + author = {William Colgan and Agnes Wansing and Kenneth Mankoff and Mareen Lösing and John + Hopper and Keith Louden and Jörg Ebbing and Flemming G. Christiansen and Thomas + Ingeman-Nielsen and Lillemor Claesson Liljedahl and Joseph A. MacGregor and + {\'{A}}rni Hjartarson and Stefan Bernstein and Nanna B. Karlsson and Sven Fuchs + and Juha Hartikainen and Johan Liakka and Robert S. Fausto and Dorthe Dahl-Jensen + and Anders Bj{\o}rk and Jens-Ove Naslund and Finn M{\o}rk and Yasmina Martos and + Niels Balling and Thomas Funck and Kristian K. Kjeldsen and Dorthe Petersen and + Ulrik Gregersen and Gregers Dam and Tove Nielsen and Shfaqat A. Khan and Anja + L{\o}kkegaard}, + title = {{G}reenland Geothermal Heat Flow Database and Map (Version 1)}, + journal = {Earth System Science Data}, + year = 2022, + volume = 14, + number = 5, + pages = {2209--2238}, + month = 5, + doi = {10.5194/essd-14-2209-2022}, + file = {./c/colgan/colgan_2022.pdf}, + publisher = {Copernicus {GmbH}}} @article{gardner_2018, author = {Alex S. Gardner and Geir Moholdt and Ted Scambos and Mark Fahnstock and Stefan diff --git a/ms.org b/ms.org index 28e73a0..ca8ea18 100644 --- a/ms.org +++ b/ms.org @@ -68,11 +68,11 @@ Correspondence: Ken Mankoff #+LATEX: \begin{abstract} -Ice sheet mass loss is typically provided for grounded ice, because changes in floating ice are more difficult to measure and contribute minimally to sea level rise. However, net freshwater volume flow rate across ice sheet boundaries, including floating, ice is a better metric of ice sheet health. +Ice sheet mass loss is typically provided for grounded ice, because changes in floating ice are more difficult to measure and contribute minimally to sea level rise. However, net freshwater volume flow rate across ice sheet boundaries, including floating ice, is a better metric of ice sheet health. -Here we present total mass flows across ice sheet boundaries for both the Greenlandic and Antarctic ice sheets from 2010 through 2019. In addition to total mass flow, we provide constituent terms and gross rather than net values, including components that combine to provide surface mass balance (SMB). +Here we present total mass flows across ice sheet boundaries for both the Greenlandic and Antarctic ice sheets and their peripheral glaciers from 2010 through 2019. In addition to total mass flow, we provide constituent terms and gross rather than net values, including components that combine to provide surface mass balance (SMB). -Ice mass loss in Greenland is 330 \pm50 Gt yr^{-1} which is ~30 % larger than the 255 \pm40 Gt yr^{-1} grounded ice mass loss estimates that neglect floating ice changes. Ice mass loss in Antarctica is 450 \pm270 Gt yr^{-1} which is ~240 % larger than the 190 \pm115 Gt yr^{-1} grounded ice mass loss estimates. Freshwater mass flow rate from Greenland is ~1065 \pm120 Gt yr^{-1} or ~3x mass loss (~4x grounded mass loss), and from Antarctica is ~3110 \pm1515 Gt yr^{-1}, or ~7x mass loss (~16x grounded mass loss). +Ice mass loss in Greenland is 330 \pm50 Gt yr^{-1} which is ~30 % larger than the 255 \pm40 Gt yr^{-1} grounded ice mass loss estimates that neglect floating ice changes. Ice mass loss in Antarctica is 450 \pm270 Gt yr^{-1} which is ~2.4x larger than the 190 \pm115 Gt yr^{-1} grounded ice mass loss estimates. Freshwater mass flow rate from Greenland is ~1065 \pm120 Gt yr^{-1} or ~3x mass loss (~4x grounded mass loss), and from Antarctica is ~3110 \pm1515 Gt yr^{-1}, or ~7x mass loss (~16x grounded mass loss). #+LATEX: \end{abstract} #+LATEX: \end{frontmatter} @@ -84,13 +84,13 @@ Changes in ice sheet mass directly impacts sea-level change, so Greenland and An Studies that assess mass balance typically use one or a combination of three methods. -The gravimetric mass balance (GMB) method directly measures changes in the gravitational field generated by the ice sheets. It is observation-based and excels at measuring the grounded ice contribution to sea level rise, but cannot observe changes in floating ice as these do not cause changes in the gravitational field, nor distinguish processes that contribute to changes of the grounded ice. Spatial resolution is O(100) km and temporal resolution is monthly (e.g., citet:groh_2019,dohne_2023). +The gravimetric mass balance (GMB) method directly measures changes in the gravitational field generated by the ice sheets. It is observation-based and excels at measuring the grounded ice contribution to sea level rise, but cannot observe changes in floating ice as these do not cause changes in the gravitational field, nor distinguish processes that contribute to changes of the grounded ice. Spatial resolution is \sim100 km km and temporal resolution is monthly (e.g., citet:groh_2019,dohne_2023). -The volumetric method estimates the total volume and change in volume of the ice sheets from altimetry. This method is also observation-based, has spatial resolution of O(10) km and temporal resolution is monthly (c.f citet:khan_2022_alt,simonsen_2021). It can be used over floating ice, and this is the primary method for observing ice shelf thinning from which ice shelf basal melt is inferred (e.g., citet:greene_2022,davison_2023). However, the volumetric method cannot be used to distinguish between surface and grounded basal processes and only reports total thinning \citep[c.f.,][]{karlsson_2021}. +The volumetric method estimates the total volume and change in volume of the ice sheets from altimetry. This method is also observation-based, has spatial resolution of \sim1000 m and temporal resolution is monthly (c.f citet:khan_2022_alt,simonsen_2021). It can be used over floating ice, and this is the primary method for observing ice shelf thinning from which ice shelf basal melt is inferred (e.g., citet:greene_2022,davison_2023). However, the volumetric method cannot be used to distinguish between surface and grounded basal processes and only reports total thinning \citep[c.f.,][]{karlsson_2021}. Finally, the input-output (IO) method is a hybrid of regional climate models (RCM) and observations (flow velocity, ice thickness; e.g., citet:rignot_2019,gardner_2018,mouginot_2019,mankoff_2021). This method estimates inputs (e.g., snowfall) and outputs (e.g., surface melt and iceberg calving), and is typically reported at the low spatial resolution of individual glacier basins. Temporal resolution is ~10 days or whenever a new velocity map is generated, but given the stability of the ice flow compared to the daily variability the SMB, the IO method can provide some estimate of daily mass balance citep:mankoff_2021. The IO method is the only one that captures all of the processes contributing to changes of grounded ice and provides gross values and constituent terms. -Here we use a combination of the IO method over grounded ice, the altimetry method over ice shelves, and other individual remote sensing estimates of ice shelf and glacier front advance and retreat. We provide results both in tabular form, and using Sankey diagrams that provide a visual method to compare magnitude of all processes within and between ice sheets, and flows representing relationships between processes. +Here we use a combination of the IO method over grounded ice, the altimetry method over ice shelves, and other individual remote sensing estimates of ice shelf and glacier front advance and retreat. We provide results both in tabular form, and using Sankey diagrams that provide a visual method to compare magnitude of all processes within and between ice sheets, and flows representing relations between processes. ** Introduction to Sankey diagrams @@ -114,13 +114,13 @@ Finally, the Sankey diagrams shown here are simplistic representations of mass f * Terminology -We use the common terms from citet:cogley_2011 with a few clarifying points. - +We use the common terms from citet:cogley_2011 with a few clarifying points. We refer readers to Fig. 2 of citet:cogley_2011 for a graphical schematic showing mass flow pathways overlaid on a glacier including phases (solid, liquid, gas), and boundaries (grounded, floating, ocean). + Our estimates of mass flow include all ice in Greenland and Antarctica, including peripheral glaciers. We use `grounding line' to refer to the ice/ocean/bed interface underneath ice shelves and floating ice tongues. When there is no ice shelf, we use the term `front' as in `calving front' or `frontal advance'. -Sublimation from surface mass balance is often a net term that includes condensation (gas -> liquid) , deposition (gas -> solid), evaporation (liquid -> gas), and sublimation (solid -> gas). Here, we distinguish between all unique four types of phase transitions. Runoff is meltwater or rain that does not refreeze and instead leaves the RCM. +Sublimation from surface mass balance is often a net term that includes condensation (gas -> liquid) , deposition (gas -> solid), evaporation (liquid -> gas), and sublimation (solid -> gas). Here, we distinguish between all unique four types of phase transitions. Runoff is meltwater or rain that does not refreeze and instead leaves the ice sheet. This work does not explicitly report submarine melt, the sum of all melt that occurs underwater, but instead we use and report constituent terms when available. Frontal melt is from vertical faces at the calving edge of Greenlandic glaciers. There are no estimates of frontal melt at the calving edge of Antarctic ice shelves or non-shelf calving regions, but mass flow across this boundary is then included in the calving estimates. Ice shelf basal melt is from horizontal surfaces under ice shelves in Greenland and Antarctica. @@ -267,9 +267,9 @@ We use constituent terms (i.e., gross, not net) of surface mass balance from the *** Calving, frontal melt, and ice shelf basal melt -In Greenland, we use ice discharge across flux gates ~5 km upstream from the grounding lines citep:mankoff_2021. That discharge term at the flux gates is known to overestimate discharge across the downstream grounding line because it neglects SMB losses between the flux gate and grounding line. These losses are estimated at ~17 Gt yr^{-1} by citet:kochtitzky_2023 who uses flux gates closer to the grounding line than the citet:mankoff_2020_solid flux gates. To account for this increased melt due to more distant flux gates we increase the citet:kochtitzky_2023 estimate to 20 Gt yr^{-1} and then reduce the citet:mankoff_2020_solid discharge by 20 Gt yr^{-1}, meaning frontal melt and calving are each reduced by 10 Gt yr^{-1} (see below for discharge split to frontal melt and calving). Peripheral glaciers are not included in the citet:mankoff_2020_solid product, but are added through estimates from citet:bollen_2023. +In Greenland, we use ice discharge across flux gates ~5 km upstream from the grounding lines citep:mankoff_2021. That discharge term at the flux gates is known to overestimate discharge across the downstream grounding line because it neglects SMB losses between the flux gate and grounding line. These losses are estimated at ~17 Gt yr^{-1} by citet:kochtitzky_2023 who uses flux gates closer to the grounding line than the citet:mankoff_2020_solid flux gates. To account for this increased melt due to more distant flux gates we increase the citet:kochtitzky_2023 estimate to 20 Gt yr^{-1} and then reduce the citet:mankoff_2020_solid discharge by 20 Gt yr^{-1}, meaning frontal melt and calving are each reduced by 10 Gt yr^{-1} (see below for discharge split to frontal melt and calving). Peripheral glaciers are not included in the citet:mankoff_2020_solid product, but are added through estimates from citet:bollen_2023. This adjustment of below-flux-gate SMB losses from 17 to 20 Gt yr^{-1} is somewhat arbitrary and based on author estimation. -Greenlandic discharge from the flux gates is split into either calving or frontal melt at the grounding line. This split is highly uncertain and minimally studied, but citet:rignot_2010 estimate that 20 - 80 % of the summer ice-front is directly melted by the ocean for the three glaciers they studied. From this, we split the discharge 50 \pm30 % between calving and frontal melt. +Greenlandic discharge from the flux gates is split into either calving or frontal melt at the calving front, which is the grounding line if no ice shelf is present, or shelf front if an ice shelf is present. This split is highly uncertain and minimally studied, but citet:rignot_2010 estimate that 20 - 80 % of the summer ice-front is directly melted by the ocean for the three glaciers they studied. From this, we split the discharge 50 \pm30 % between calving and frontal melt. In Antarctica, calving includes grounded ice that leaves the ice sheet directly into the ocean (not an input to an ice shelf; citet:rignot_2019) and ice shelf calving from citet:greene_2022. We assume that the Antarctic frontal melt component is zero. @@ -293,7 +293,7 @@ In Antarctica, the fastest rates of ice shelf grounding line retreat are in Amun *** Grounded ice basal melt -Grounded ice basal melt citep:karlsson_2021,van-liefferinge_2013 comes from geothermal heat flux, frictional heat from sliding, and in Greenland but not Antarctica, viscous heat dissipation from surface runoff routed to the bed citep:mankoff_2017_VHD. +Grounded ice basal melt citep:karlsson_2021,van-liefferinge_2013 comes from geothermal heat flux, frictional heat from sliding, and in Greenland but not Antarctica, viscous heat dissipation from surface runoff routed to the bed citep:mankoff_2017_VHD. Ice-sheet wide, the term is split approximately evenly among the two (Antarctica) or three (Greenland) terms. The geothermal flow term is steady state but poorly observed under the ice sheets - only a few ground-truth measurements exist (c.f. citet:colgan_2022), and models of the spatial distribution of geothermal flow show substantial disagreement citep:zhang_2024. ** Inputs @@ -313,7 +313,7 @@ Ice shelf basal freeze-on from citet:wang_2024 in Greenland and citet:paolo_2023 We calculate net freshwater mass flow not simply as the sum of all outputs, but using net, not gross, for some terms due to the physical processes involved. For example, in Antarctica gross ice shelf basal melt is 1375 Gt yr^{-1}, but ice shelf basal freeze-on of 366 Gt yr^{-1} should be subtracted from this value (Table \ref{tab:aq}). Freshwater for freeze-on must be supplied from either grounded ice basal melt (meaning that freshwater mass does not reach the open ocean) or extracted from ocean water that flows under the shelf, temporarily increasing the salinity of sub-shelf water. -This treatment of freshwater mass flow rate is because we are focusing on freshwater or salinity, and salt as a tracer is assumed to be rejected during freezing of ocean water, or if fresh grounded basal meltwater is frozen, then that water does not leave the system. In these cases, a unit freeze-then-melt has no impact on the net tracer value. The process is assumed to be conservative (i.e., no external change). +This treatment of freshwater mass flow rate is because we are focusing on salinity, and a salt as a tracer is assumed to be rejected during freezing of ocean water. Similarly, if fresh grounded basal meltwater is frozen, then that water does not leave the system. In these cases, a unit freeze-then-melt has no impact on the net tracer value. The process is assumed to be conservative (i.e., no external change). Similarly, when considering total freshwater export, or salinity, gross frontal retreat and gross frontal advance should be combined to net frontal change. @@ -384,17 +384,13 @@ for c in cols: Uncertainty on most individual terms is provided by the upstream data products and presented in the uncertainty ("Unc." column) in Tables \ref{tab:gl} and \ref{tab:aq}. The exceptions are calving and frontal melt in Greenland, net freshwater mass flow rate, and the derived mass loss and gain terms. -Calving and frontal melt uncertainty is 30 % between those two, but combine is 10 % constrained by the upstream discharge term (see Discussion > Uncertainty). +Calving and frontal melt uncertainty is 30 % between those two, but combined is 10 % constrained by the upstream discharge term (see Discussion > Uncertainty). For net freshwater mass flow rate we use gross values for ice shelf basal melt and frontal retreat, treat each term as independent, and report the square root of the sum of the squared uncertainties. -For derived mass loss and mass gain an uncertainty, traditional uncertainty propagation leads to unreasonably large numbers, because the values are large and the residual is small. We therefore estimate the residual uncertainty using the weighted uncertainty for each term in Tables \ref{tab:gl} and \ref{tab:aq}. Using this method, Greenland uncertainty is 15 %, and Antarctic uncertainty is 60 % in the East, 70 % in the west, 50 % in the Peninsula, and 60 % overall. - -A comparison of our mass change and uncertainty results with mass change and uncertainty from the independent GMB method citep:groh_2019 shows an agreement between the two within the GMB uncertainty. GMB uncertainty is 10 % in Greenland, and 115 %, 10 %, 35 %, and 30 % for Antarctic regions East, West, Peninsula, and overall - well within the uncertainty values we derive above (Table \ref{tab:results_mc}). - -# which is more reasonably described by the independently assessed uncertainty from the GMB method. Based on this comparison we apply the uncertainty from the GMB method (for Greenland, Antarctica, and Antarctic regions) as a rough approximation of the derived mass loss and mass gain uncertainty. See also the Results and Discussion section. Recall that the GMB method only measures grounded ice. We therefore calculate the uncertainty as a percentage of GMB-estimated grounded mass loss, and then apply that uncertainty percentage to all of our components per region. +For derived mass loss and mass gain and uncertainty, traditional uncertainty propagation leads to unreasonably large numbers, because the values are large and the residual is small. We therefore estimate the residual uncertainty using the weighted uncertainty for each term in Tables \ref{tab:gl} and \ref{tab:aq}. Using this method, Greenland uncertainty is 15 %, and Antarctic uncertainty is 60 % in the East, 70 % in the west, 50 % in the Peninsula, and 60 % overall. -# For example, if GMB uncertainty for grounded ice mass change in Antarctica is 30 %, we apply a 30 % uncertainty to both the grounded and floating mass change reported here for Antarctica. +A comparison of our mass change and uncertainty results with mass change and uncertainty from the independent GMB method citep:groh_2019 shows an agreement between the two. Our uncertainty is consistently larger for the same domain, and our estimates are within the GMB uncertainty. GMB uncertainty is 10 % in Greenland, and 115 %, 10 %, 35 %, and 30 % for Antarctic regions East, West, Peninsula, and overall - well within the uncertainty values we derive above (Table \ref{tab:results_mc}, which also includes uncertainty in units of Gt yr^{-1}). ** Other @@ -406,23 +402,23 @@ In Antarctica, we use the MEaSUREs Antarctic Boundaries for IPY 2007-2009 from S Most values come from time series that we limit to 2010 through 2019, or are provided for that time span. Some values cover different periods, and in these cases we use the closest available time span to 2010 through 2019 (Tables \ref{tab:gl} and \ref{tab:aq}.). The impact of non-overlap is a function of the scale and variability of the term. -The largest shift in Greenland is 2013 -- 2022 vs the baseline 2010 -- 2019, or approximately a 30 \% non-overlap. The term is the ice shelf melt and freeze product which is small, and we estimate the variability as medium due to the oceanic forcing. It is less variable than atmospherically controlled SMB terms (which also happen to be large) and more variable than terms controlled by glacier large-scale dynamics. +The largest shift in Greenland is 2013 -- 2022 vs the baseline 2010 -- 2019, or approximately a 30 % non-overlap. The term is the ice shelf melt and freeze product which is small, and we estimate the variability as medium due to the oceanic forcing. It is less variable than atmospherically controlled SMB terms (which also happen to be large) and more variable than terms controlled by glacier large-scale dynamics. The largest shift in Antarctica is 1997 - 2021 vs the baseline 2010 -- 2019. As discussed this term is not defined outside of the Amundsen sea sector, and remains an important area for future studies to help reduced uncertainties and close the budget of the ice sheet mass balance work presented here. *** Rounding -In Table \ref{tab:aq} we round to 1, with the exception of values less than 0.5 and greater than 0 which are rounded to 1. Everywhere else value are rounded to the nearest 5 Gt yr^{-1}, with the exception of values less than 2.5 and greater than 0 which are rounded up to 5. +In Table \ref{tab:aq} we round to the nearest whole number, with the exception of values less than 0.5 and greater than 0 which are rounded up to 1. Everywhere else values are rounded to the nearest 5 Gt yr^{-1}, with the exception of values less than 2.5 and greater than 0 which are rounded up to 5. We choose to round because because sub-decimal precision of terms presented here seems unlikely to be correct, even if it is correct it is not relevant to results, and for aesthetic reasons. * Results -All mass flow terms and values for each term are shown in Tables \ref{tab:gl} and \ref{tab:aq} and the Sankey diagrams. In addition, the tables contain the time span of each value and reference publication . Net freshwater mass flow rates are shown in Table \ref{tab:results_fw} and net mass loss by region and grounded vs floating ice are shown in Table \ref{tab:results_mc}. +All mass flow terms and values for each term are shown in Tables \ref{tab:gl} and \ref{tab:aq} and the Sankey diagrams. In addition, the tables contain the time span of each value and reference publication. Net freshwater mass flow rates are shown in Table \ref{tab:results_fw} and net mass loss by region and grounded vs floating ice are shown in Table \ref{tab:results_mc}. ** Sankey diagrams :ignore: \begin{figure*} \centering{\includegraphics[width=0.85\textwidth]{gl_baseline.pdf}} -\caption{Sankey mass flow diagram for Greenland. Numbers are mass flow rate [Gt yr\textsuperscript{-1}]. All widths are proportional within and between images. Gray is ice, blue is liquid, and yellow is gaseous phase. Inputs (left, arrow tail) are balanced by outputs (right, arrow head). Because Sankey diagrams balance all inputs and outputs, mass losses require an input (red) to balance the larger outputs. Mass loss inputs are additional flow through the system, the source being historical ice not represented by the other inputs.} +\caption{Sankey mass flow diagram for Greenland. Numbers are mass flow rate [Gt yr\textsuperscript{-1}]. All widths are proportional within and between images. Gray is solid phase, blue is liquid phase, and yellow is gas phase. Inputs (left, arrow tail) are balanced by outputs (right, arrow head). Because Sankey diagrams balance all inputs and outputs, mass losses require an input (red) to balance the larger outputs. Mass loss inputs are additional flow through the system, the source being historical ice not represented by the other inputs.} \label{fig:gl} \end{figure*} @@ -589,7 +585,8 @@ In comparison, estimated net grounded ice mass loss by the GMB method is 226 \pm ** Constituent terms and net versus gross -We recommend to the community to report all the constituent terms of mass change as well as the gross values, and not only the net values. If needed, it is relatively straightforward to include a net combined term. There are numerous advantages to this approach. More information is better. The potential benefits for future researchers to address currently-unknown research questions or undefined needs is likely to outweigh the costs of increased complexity, time, storage, and access. +We recommend to the community to report all the constituent terms of mass change as well as the gross values, and not only the net values. If needed, it is relatively straightforward to include a net combined term. There are numerous advantages to this approach. More information is better. Constituent term level details are needed to properly quantify and attribute differences in SMB model inter-comparison studies (e.g., citet:mottram_2021). +The potential benefits for future researchers to address currently-unknown research questions or undefined needs is likely to outweigh the costs of increased complexity, time, storage, and access. Sea level rise research often focuses on how and why, not only how much. Process level detail is needed to provide model inputs or validation for the how and why. However even the IO method that provides process level detail is usually estimated with a single SMB value rather than constituent terms as shown here, and may miss important information. For example, if net SMB remains constant over time, but snowfall and runoff both increase, this indicates a different ice sheet state, and this information should not be removed through reporting of net values. @@ -621,7 +618,7 @@ Uncertainty on the derived mass loss and mass gain terms is difficult to quantif # As seen in Table \ref{tab:results_fw} uncertainty calculated using this method is ~50 % of the net freshwater exported from Antarctica. Net freshwater export excludes inputs that do not impact freshwater export (e.g., it includes ice shelf freeze-on, but excludes snowfall) so the uncertainty would be considerably larger if adding 15 % uncertainty from the ~2800 Gt yr^{-1} snowfall inputs. -A comparison of the estimated net grounded ice mass loss with results of the independent GMB method (Table \ref{tab:results_mc}) indicates a much better agreement between the two methods than suggested by a basic uncertainty propagation of all IO terms. The independently assessed uncertainty for the GMB method better fits to the differences in estimates for all regions under investigation (e.g., for Antarctica the difference between the two methods is 39 Gt yr^{-1} and the uncertainty of the GMB estimate is 45 Gt yr^{-1}). Using the GMB uncertainty as our derived residual uncertainty may be appropriate, and would provide a much smaller uncertainty than the values we report here. However, as there is no physical basis and mathematical connection between the mass change estimates (residual from the IO method) and the mass change uncertainty (from the GMB method), we do only use the GMB uncertainty to provide context. +A comparison of the estimated net grounded ice mass loss with results of the independent GMB method (Table \ref{tab:results_mc}) indicates a much better agreement between the two methods than suggested by a basic uncertainty propagation of all IO terms. The independently assessed uncertainty for the GMB method better fits to the differences in estimates for all regions under investigation (e.g., for Antarctica the difference between the two methods is 39 Gt yr^{-1} and the uncertainty of the GMB estimate is 45 Gt yr^{-1}). Using the GMB uncertainty as our derived residual uncertainty may be appropriate, and would provide a much smaller uncertainty than the values we report here. However, we only use the GMB uncertainty to provide context because there is no physical basis and mathematical connection between the mass change estimates (residual from the IO method) and the mass change uncertainty (from the GMB method). # . These percentages, and the decision to apply them to floating ice, are derived using the judgment of the authorship team and knowledge of other independent products that directly measure mass change and can therefore better constrain uncertainty than the IO method used here. @@ -685,9 +682,9 @@ Given a theoretical reference front location for calving and frontal melt, \(X\) * Summary -In this work we report total ice sheet mass change for both Greenland and Antarctica for the 2010 through 2019 period, reporting not just grounded ice mass loss, but also changes in floating ice. We have provided all available constituent terms and gross not net values. This detailed information provides a better picture of ice sheet health than focusing only on mass loss or only on grounded ice. +In this work we report total ice sheet and peripheral glacier mass change for both Greenland and Antarctica for the 2010 through 2019 period, reporting not just grounded ice mass loss, but also changes in floating ice. We have provided all available constituent terms and gross not net values. This detailed information provides a better picture of ice sheet health than focusing only on mass loss or only on grounded ice. -We have also displayed these constituent terms and net values using Sankey diagrams which provide an information-dense display showing a) the relationships between terms and processes, b) quantitative display of the magnitude of each term, and c) visual comparisons between different ice sheets or sub-regions of ice sheets, as the magnitude of the graphic uses the same proportion between all images. +We have also displayed these constituent terms and net values using Sankey diagrams which provide an information-dense display showing a) the relations between terms and processes, b) quantitative display of the magnitude of each term, and c) visual comparisons between different ice sheets or sub-regions of ice sheets, as the magnitude of the graphic uses the same proportion between all images. * References :ignore: @@ -749,7 +746,7 @@ Software: We thank citep:sankey for the \LaTeX\enspace TikZ Sankey package, and * Appendix A: Sankey diagram tools \label{appendix:sankey} -There are several software packages that support creating Sankey diagrams with various levels of complexity and control. The three applications we found, in order from easiest and most limited to most complex and feature-full are the Mermaid diagram tool, Plotly (which can be used from Python, R, or other popular languages), Matplotlib, and finally \LaTeX. +There are several software packages that support creating Sankey diagrams with various levels of complexity and control. The four applications we found, in order from easiest and most limited to most complex and feature-full are the Mermaid diagram tool, Plotly (which can be used from Python, R, or other popular languages), Matplotlib, and finally \LaTeX. The simplest Mermaid option is produced with only a CSV file of the format 'in,out,value'. Neither order nor closure (balance) is important, and a user has limited control over layout and color, although a user can edit things later manually if generating SVG format. We used Mermaid to generate the Sankey diagram in Appendix C, and the source for this diagram can be found in the supplemental source at http://doi.org/10.5281/zenodo.14624614 file =mermaid.org=. Mermaid diagrams in Markdown files on GitHub render directly in the browser from the data (no saved image file). From 127b1e8d181fc6e8af89579240b057ec7ca2a687 Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Mon, 23 Jun 2025 08:45:57 -0700 Subject: [PATCH 05/14] response to reviews --- reviews/review.org | 551 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 551 insertions(+) create mode 100644 reviews/review.org diff --git a/reviews/review.org b/reviews/review.org new file mode 100644 index 0000000..bc8aa72 --- /dev/null +++ b/reviews/review.org @@ -0,0 +1,551 @@ +#+TITLE: Reply to Reviewers: Ice sheet mass flows +#+AUTHOR: Ken Mankoff /et al./ +#+EMAIL: +#+DATE: +#+DESCRIPTION: +#+KEYWORDS: +#+OPTIONS: H:4 num:4 toc:nil \n:nil ::t |:t ^:{} -:t f:t *:t <:t +#+EXCLUDE_TAGS: noexport +#+ARCHIVE: ::* Archive + +#+MACRO: BEGIN_REPLY @@latex:{\bfseries\color{brown}@@ @@odt:@@ +#+MACRO: END_REPLY @@latex:}@@ @@odt:@@ + +We're happy to see all three reviewers suggest only minor comments. We have addressed each comment in the revised manuscript, or explained here why we are not making the recommended changes. We also reply in-line below to each comment. Comments from reviewers are in normal font. Replies are in {{{BEGIN_REPLY}}}colored bold font{{{END_REPLY}}}. + +\tableofcontents + +* Reviewer 1 (Aman KC) + +The manuscript presents a comprehensive approach to quantifying total mass flows across the boundaries of the Greenland and Antarctic ice sheets from 2010–2019. Rather than focusing solely on grounded ice mass loss, which contributes directly to sea level rise, the authors argue for the importance of evaluating gross mass flow terms—including floating ice processes —as a more complete indicator of ice sheet health. + +The inclusion of all major mass exchange pathways (including floating ice, basal melt, and calving) is a good addition over traditional SLR-focused studies. I found the use of proportional Sankey diagrams to illustrate system-level flows to be very intuitive, helping in cross-comparison between regions and processes. + +Overall, this is a high-quality, well-structured manuscript that presents valuable data and insights. With a few additional clarifications in certain areas, it will be of broad interest to both the glaciological and oceanographic communities. + +{{{BEGIN_REPLY}}} +We thank Aman for his review, helpful comments, and support of publication of this manuscript. +{{{END_REPLY}}} + +In the abstract, the sentence “Ice mass loss in Antarctica is 450 ± 270 Gt yr⁻¹ which is ~240% larger than the 190 ± 115 Gt yr⁻¹ grounded ice mass loss estimates” appears to be confusing. By calculation, 450 is ~136% larger than 190, but it is ~240% of 190. I recommend rephrasing this sentence for clarity. + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +I appreciated the background on Sankey diagrams. And the examples to explain the concepts. + +It would be helpful if the figure caption mentions the meaning of the bolded component labels in the Sankey diagrams. + +{{{BEGIN_REPLY}}} +Bolded items removed. In the original submission, bolded RHS items (frontal retreat, grounding line retreat) are highlighted because they are part of frontal melt or calving, but separate due to the process vs. product issues, and/or steady state vs. transient data sets that we ingest. This is all discussed in the text, and we have decided to not add any unnecessary complexity to the figures. +{{{END_REPLY}}} + +For consistency, would it be possible to distinguish the terms in the Input–Output (IO) method using the same subscripts applied to the Greenland Ice Sheet in Table 1? + +{{{BEGIN_REPLY}}} +We're not clear what is being asked here. The terms in Table 1 are the same terms in Figure 1. The inputs are all on the LHS and the outputs are all on the RHS. This whole manuscript focuses on the IO method. The methods section is clearly separated into "outputs" and then "inputs". +{{{END_REPLY}}} + +The manuscript uses terms like “mass loss,” “drawdown,” “frontal melt,” and “net freshwater export”. Although the distinctions are defined in the text, a graphical glossary or schematic (perhaps in the supplement) showing mass pathways, phases (ice, liquid, vapor), and boundaries (grounded, floating, ocean) would help readers navigate the terminology more easily. + +{{{BEGIN_REPLY}}} +The phases are captured in the current diagrams, and more clearly stated in the figure caption thanks to comments from another reviewer. We opt to not add another figure to the ms showing this, but have added an additional sentence that the processes described here are better shown in their physical setting in Fig. 2 of citet:cogley_2011. +{{{END_REPLY}}} + +While the authors acknowledge that traditional uncertainty propagation leads to overestimates in residual terms, the alternative method—using weighted uncertainties—still leaves ambiguity. Would the authors consider adding a brief text to reinforce the validity of their reported 15–70% uncertainty range? + +{{{BEGIN_REPLY}}} +We have added additional text when comparing to GMB results pointing out the agreement between these two methods. +{{{END_REPLY}}} + +The merging of datasets with varying resolutions and time periods (e.g., 1997–2021 vs. 2010–2019) raises concerns about temporal alignment. The authors mention briefly how they choose the values, but discussion on how these are reconciled or weighted would be valuable? + +{{{BEGIN_REPLY}}} +Added paragraphs discussing non-overlap and what that might mean. +{{{END_REPLY}}} + +While powerful, the diagrams may oversimplify spatial variability and the division between grounded and floating components. The alternate display in Appendix C is good, but a brief comparison in the main text could be of great addition. + +{{{BEGIN_REPLY}}} +We agree these diagrams simplify the spatial dimension - they remove it entirely. They also make no distinction between grounded and floating, although the tables do. We are not sure what changes to make here, and given the clear separation between grounded and floating in Fig. 4, we make no change. +{{{END_REPLY}}} + +* Reviewer 2 + +I think this is a very useful, and novel, visualization of the mass flows of the ice sheets. It is a useful exercise, and perhaps also a helpful reminder for which are the most critical mass flows for the community to focus on. + +{{{BEGIN_REPLY}}} +Thank you for your support. +{{{END_REPLY}}} + +Grounded Ice Basal Melt (L197) - I understand that many of the mass flows come from modelled RCM values, but this term is perhaps the most poorly "observed" of all of them. This should be acknowledged here that this is effectively a derivative of assumed geothermal heat flow, and there is a wide range of option of the geothermal heat flows that should be adopted (i.e. https://doi.org/10.5194/tc-18-387-2024). + +{{{BEGIN_REPLY}}} +Added text providing a bit more background and detail on the grounded basal mass balance and geothermal uncertainty. +{{{END_REPLY}}} + +Mass Change Labeling (L230) - Rather than "drawdown or retreat" and "build-up or expansion", it would seem more straightfoward to simply label these outcomes as "decreasing ice-sheet mass" and "increasing ice-sheet mass". I would suggest this throughout. + +{{{BEGIN_REPLY}}} +Our original version labeled these "mass loss" and "mass gain", which is, we think, the simplest label that the reviewer is moving towards with their suggestions of "decreasing ice-sheet mass" and "increasing ice-sheet mass". We changed to the current wording after many discussions, but agree with the reviewer and have changed back to "mass loss" and "mass gain" in the Sankey diagrams. The text still describes in more detail that "loss" is one of "drawdown" or "retreat". +{{{END_REPLY}}} + +A tangential thought, is that there can be longer term ice dynamic processes at play, for example transient millennial-scale thickening in Greenland (i.e. https://doi.org/10.1126/science.aab1702), which are implicity included within this "increasing ice-sheet mass". + +{{{BEGIN_REPLY}}} +This discussion - which I think is "what is the definition of steady state or baseline" - is an important one for the community to have but way outside the scope of this work. +{{{END_REPLY}}} + +Constituent versus Gross (L288) - Beyond the Sankey diagrems, this is perhaps the most important point of the article. You should note that details at the levels of consituent terms are needed to highlight and understand compensating errors in SMB model inter-comparison (i.e. https://doi.org/10.5194/tc-15-3751-2021). + +{{{BEGIN_REPLY}}} +Text added. +{{{END_REPLY}}} + +Developing community consesus on the absolute magnitude of flows is also important. For example, Rignot2008 (https://doi.org/10.1029/2008GL035417) reports a balance flux of 350 Gt/yr for Greenland, while vandenBroeke2009 (https://doi.org/10.1126/science.1178176) report a balance flux of 480 Gt/yr. These balance fluxes are used to partition contemporary mass loss into runoff and iceberg calving, which highlight why community consensus on the flows is important. + +{{{BEGIN_REPLY}}} +We're not sure about this. There is value in community consensus, but only if it is correct! Anyway, community consensus is out of scope of this manuscript. +{{{END_REPLY}}} + +Anomalies in Flows (L318) - It would be desirable to consider showing the Sankeys for high and low mass balance years for Greenland, for example, to perhaps demonstrate how the Sankeys can plainly visualize anomalies in different mass flows in different years. + +{{{BEGIN_REPLY}}} +We hope that others will use these diagrams for this in future works. We are already working on a Greenland time series to highlight this. We will not include it in this manuscript. If the reviewer is curious to see some early exploration in this area (decadal, seasonal, etc.), our public discussion occurred at https://github.com/mankoff/sankey/issues/16 +{{{END_REPLY}}} + +** Minor comments + +Authors - I presume that Alex Gardner has contirbuted substantially to this article, as he appears twice in the author list! + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +L25 - ...including floating ice, is a... + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +L58 - Many ice sheet folks would disagree with altimetry being characterized as "O(10) km" resolution. There are clearly many products now available at 1000 m resolution (or better!) at ice-sheet scale. + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +L75 - Here and throughout, "relationships" between animate objects, but "relations" between inanimate objects (incl. mass flows). + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +L114/128 - "RCM" has not just been introduced, and probably should not until the methods section. + +{{{BEGIN_REPLY}}} +RCM is defined at line 64 +{{{END_REPLY}}} + +In the first L114 instance, for example, it should be "...leaving the ice sheet." if you are introducing processes. + +{{{BEGIN_REPLY}}} +We changed the use at L114 from "leaves the RCM" to "leaves the ice sheet" as suggested. +{{{END_REPLY}}} + +L124 - You should, for consistency, also state the ice sheet density you are assuming for converting volume changes to water mass flow. + +{{{BEGIN_REPLY}}} +The data we ingest report values in mass dimensions and units, and likely use complicated methods and multiple values for converting volume to mass - for example, firn models with varying density. We feel that addressing this is out of scope, given that we do not do any of these calculations or conversions here. +{{{END_REPLY}}} + +L246 - It is odd to see GMB uncertainties expressed in %. There should perhaps be a sentence introducing GMB uncertainties in their native Gt/yr and then converting this into percentages of the mass flow. + +{{{BEGIN_REPLY}}} +Given the hand-wavyness involved in many uncertainty treatments, we find it odd to express it in absolute units (often with multiple decimal places of precision!). We have added a sentence here that other units are available in Table 4. +{{{END_REPLY}}} + +L266 - Extra space before the period. + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +L299 - Perhaps "ignored" is better than "removed" + +{{{BEGIN_REPLY}}} +Perhaps. I'll leave it and let an editor weigh in if they have an opinion. I think this is a frame-of-reference issue. The information is both ignored and removed by the people combining the terms and not reporting constituent terms. The information has been removed for downstream users. I think I'm usually thinking of the latter: Known or unknown future users of a product who no longer have access to relevant information because it was removed. +{{{END_REPLY}}} + +Figure 1 - Caption should specify "grey is solid phase, blue is liquid phase, and yellow is gas phase" (i.e. "solid phase" instead of "ice" -- or make the other phases "water" and "water vapor" for consistency across phases). + +{{{BEGIN_REPLY}}} +Done. +{{{END_REPLY}}} + +I wonder if the "drawdown or retreat" arrow should be black, rather than colored? + +{{{BEGIN_REPLY}}} +This is of primary interest to a lot of people, so we choose to keep it highlighted red if loss, black if gain. +{{{END_REPLY}}} + +Figure 2 - Blue, not black, outline on the Frontal retreat flux (also in Figure 1). + +{{{BEGIN_REPLY}}} +Fixed. The Frontal Retreat was both bolded and blue outline because it is different. It is the transient term portion of discharge (split into calving frontal melt) and it is both a solid process (calving) and a melt process (frontal melt), hence the gray interior and blue outline. Making it gray interior / black outline removes the liquid component. Ideally this would be a gray/blue hatched interior, but this level of detail is beyond my \latex TikZ skills, so we will make it gray/black and add a note in the text. +{{{END_REPLY}}} + +Figure 4 - It would seem preferrable to use the same figure format (i.e. colors and arrows) for this figure as the preceeding figures, even if you must note that the arrow scales are different between figures. + +{{{BEGIN_REPLY}}} +We agree, but this is an entirely different software tool to generate this figure, and a non-trivial effort to make them visually identical. We will defer to the editorial team, and make the changes if the editor requests it, and/or support the Journal of Glaciology graphics team if this falls under their purview. +{{{END_REPLY}}} + +* Reviewer 3 + +** Summary + +The authors present Greenland and Antarctic mass changes as freshwater mass flow rates, quantifying mass changes of both grounded and floating ice, as well as the constituent inputs and outputs, for the time period 2010-2019. Mass flow is represented visually using Sankey diagrams for both Greenland and Antarctica. This approach is a valuable addition to estimates of ice sheet mass balance, which is typically reported only as a single value or a time series, as it allows for a more comprehensive understanding of ice sheet health and freshwater discharge to the ocean. A limitation of the approach, however, is that it relies on data products and model outputs with various degrees of uncertainty and different temporal resolutions. Though this method requires estimates and simplifications, the reasoning behind these is generally explained in the manuscript, and weaknesses are acknowledged. The manuscript is well-written and is worthy of publication with only minor edits. + +{{{BEGIN_REPLY}}} +We thank the reviewer for their support. +{{{END_REPLY}}} + +** General Comments + +How could this approach be used to show changes in mass flow through time? As it is, we just see an average of all the changes over roughly a decade. I imagine it could be difficult to improve the temporal resolution using data from so many different sources and models, but is there a way to present these data as some sort of time series? This is not required for the current manuscript, just something to think about if advocating for other researchers to consider this approach when reporting mass balance. + +{{{BEGIN_REPLY}}} +Changes through time will be shown in a future ms, but if the reviewer would like to see some thoughts on this the discussion happened in public here: https://github.com/mankoff/sankey/issues/16. The current best method we have come up with to show a times series is using a multi-panel plot. + +If all inputs were times series, it would be easy to make figures for any time span. This is generally the case in Greenland with a more mature and operational data product ecosystem. In Antarctica, there are fewer products and of those, more have been reported as decadal average rather than time series. +{{{END_REPLY}}} + +The Sankey diagrams are an interesting way to show the components of mass change/flow, though it is a bit counterintuitive that mass loss is a balancing input and mass gain is a balancing output. It just took a minute of thinking to understand why this is. + +{{{BEGIN_REPLY}}} +We agree. We hope the text explanation of why mass loss is an input and mass gain is an output helped reduce the thinking time. This is one reason we ended up using "drawdown or retreat" instead of "mass loss". But that word choice may not have helped and due to comments from another reviewer we have returned to "mass loss" as an input. +{{{END_REPLY}}} + +** Specific Comments + +Line 108: I was surprised to see that the estimates of mass flow include peripheral glaciers – so it is not just the ice sheets as I assumed from the title. Why did you decide to include peripheral glaciers? + +{{{BEGIN_REPLY}}} +In Antarctica it is not easy to remove peripheral glaciers. And once we started including floating ice, the focus moves away from the traditional 'grounded ice sheet' to a more holistic view of 'regional ice sheet health' in which case including all of the ice made sense to us. There was some minor internal disagreement on this choice. We leave the title, but add mention of peripheral glaciers in the abstract. +{{{END_REPLY}}} + +Lines 147-151: Some of these values seem somewhat arbitrary. How did you decide to increase the estimate of losses from 17 Gt per year to 20 Gt per year? (After reading about rounding later in the manuscript, I’m guessing this was just part of rounding?) + +{{{BEGIN_REPLY}}} +We agree some values are somewhat arbitrary. We believe that many values are somewhat arbitrary in other works too, both those ingested here and those not ingested but treated elsewhere as a reference value. We believe the community would do better to more clearly acknowledge arbitrary decisions in all works. + +To your specific question about rounding from 17 to 20: This was done prior to the tabular rounding to take into account the specific text from citet:kochtitzky_2023 who write, "Because our fluxgates were typically located tens to hundreds of meters lower than those in the similar studies (King et al., 2018; Mankoff et al., 2020), the melt correction for these studies would be higher than values presented herein, although it is beyond the scope of the current study to determine what those values would be". which is why we believe using the citet:kochtitzky_2023 value of 17 Gt yr^{-1} is too low. + +We have added text highlighting arbitrariness. +{{{END_REPLY}}} + +Line 154: Not all glaciers in Greenland calve at the grounding line – some have floating fronts (seasonally or year-round), even if not typically considered to have an ice shelf (e.g., Jakobshavn, Helheim). + +{{{BEGIN_REPLY}}} +Fixed. Text adjusted. +{{{END_REPLY}}} + +Lines 260-263 – Rounding: What is the reasoning for this rounding? Just because there is so much uncertainty inherent in the data and methods? + +{{{BEGIN_REPLY}}} +Correct. Added a clarification. +{{{END_REPLY}}} + +Line 412: But is it really “total ice sheet mass change,” or does it also include the peripheral glaciers? + +{{{BEGIN_REPLY}}} +Plus peripheral. Text adjusted. +{{{END_REPLY}}} + +** Technical Corrections/Questions + +Line 25: I think the comma should be after ice instead of after floating, to read “net freshwater volume flow rate across ice sheet boundaries, including floating ice, is a better metric of ice sheet health” + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +Lines 55 and 58: What do O(100) and O(10) mean? + +{{{BEGIN_REPLY}}} +We apologize for the somewhat esoteric notation. In computer science Big-O notation represents the approximate runtime of a function. We used it here as a short-hand for order-of-magnitude. We have replaced it with \sim. +{{{END_REPLY}}} + +Lines 220-222: I got lost in this very long sentence. Consider splitting into two sentences. + +{{{BEGIN_REPLY}}} +Rewritten. +{{{END_REPLY}}} + +Line 235: Should “combine” be “combined” here? + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +Line 239: I believe this should read: “For derived mass loss and mass gain, traditional uncertainty propagation…” + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +Lines 261-262: This doesn’t make sense – “In Table 2 we round to 1, with the exception of values less than 0.5 and greater than 0 which are rounded to 1.” I think you mean “In Table 2 we round to the nearest whole number…”? + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +Line 262: “value” should be “values” + +{{{BEGIN_REPLY}}} +Fixed. +{{{END_REPLY}}} + +* References +:PROPERTIES: +:clearpage: t +:END: + +\printbibliography[heading=none] + +* LaTeX Header :ignore: +#+LaTeX_CLASS_OPTIONS: [article,a4paper,times,12pt] + +#+BEGIN_SRC elisp :exports none +(org-add-link-type + "citet" (lambda (key) (kdm/org-pdf-open key)) + (lambda (path desc format) + (cond + ((eq format 'latex) (format "\\cite{%s}" path)) + ((eq format 'ascii) (format "%s" desc)) + ))) +(org-add-link-type + "citep" (lambda (key) (kdm/org-pdf-open key)) + (lambda (path desc format) + (cond + ((eq format 'latex) (format "\\citep{%s}" path)) + ((eq format 'ascii) (format "%s" desc)) + ))) + +(setq-local org-latex-title-command "") +#+END_SRC + +#+RESULTS: + +** References :ignore: + +#+LATEX_HEADER_EXTRA:%\usepackage[bibstyle=authoryear,firstinits=true,maxbibnames=99]{biblatex} +#+LATEX_HEADER_EXTRA: \usepackage[hyperref=true, +#+LATEX_HEADER_EXTRA: %sorting=none, +#+LATEX_HEADER_EXTRA: sorting=nyt, +#+LATEX_HEADER_EXTRA: %style=numeric, +#+LATEX_HEADER_EXTRA: style=authoryear, +#+LATEX_HEADER_EXTRA: %defernumbers=true, +#+LATEX_HEADER_EXTRA: firstinits=true, +#+LATEX_HEADER_EXTRA: uniquename=false, +#+LATEX_HEADER_EXTRA: uniquelist=false, +#+LATEX_HEADER_EXTRA: %uniquelist=minyear, +#+LATEX_HEADER_EXTRA: maxnames=99, +#+LATEX_HEADER_EXTRA: maxcitenames=1]{biblatex} +# # #+LATEX_HEADER_EXTRA:\addbibresource{Library.bib,/Users/mankoff/Dropbox/Backup/Library.bib} +# #+LATEX_HEADER_EXTRA:\addbibresource{/home/kdm/Documents/Papers/library.bib} +#+LATEX_HEADER_EXTRA:\addbibresource{../library.bib} +#+LATEX_HEADER_EXTRA: \renewbibmacro{in:}{} + +# biber <.NOEXT> --output_format bibtex + +# http://tex.stackexchange.com/a/5779/360 +#+LATEX_HEADER_EXTRA: % Don't print URL if DOI field exists +#+LATEX_HEADER_EXTRA: \DeclareFieldFormat{url}{% +#+LATEX_HEADER_EXTRA: \iffieldundef{doi}{% +#+LATEX_HEADER_EXTRA: \mkbibacro{URL}\addcolon\space\url{#1}% +#+LATEX_HEADER_EXTRA: }{% +#+LATEX_HEADER_EXTRA: }% +#+LATEX_HEADER_EXTRA: } +#+LATEX_HEADER_EXTRA: % Don't print URL if DOI field exists +#+LATEX_HEADER_EXTRA: \DeclareFieldFormat{urldate}{% +#+LATEX_HEADER_EXTRA: \iffieldundef{doi}{% +#+LATEX_HEADER_EXTRA: \mkbibparens{\bibstring{urlseen}\space#1}% +#+LATEX_HEADER_EXTRA: }{% +#+LATEX_HEADER_EXTRA: }% +#+LATEX_HEADER_EXTRA: } + +#+LATEX_HEADER_EXTRA: \renewbibmacro*{journal+issuetitle}{% +#+LATEX_HEADER_EXTRA: \usebibmacro{journal}% +#+LATEX_HEADER_EXTRA: \setunit*{\addspace}% +#+LATEX_HEADER_EXTRA: \iffieldundef{series} +#+LATEX_HEADER_EXTRA: {} +#+LATEX_HEADER_EXTRA: {\newunit +#+LATEX_HEADER_EXTRA: \printfield{series}% +#+LATEX_HEADER_EXTRA: \setunit{\addspace}}% +#+LATEX_HEADER_EXTRA: \usebibmacro{issue+date}% +#+LATEX_HEADER_EXTRA: \setunit{\addcomma\space}% +#+LATEX_HEADER_EXTRA: \usebibmacro{volume+number+eid}% +#+LATEX_HEADER_EXTRA: \setunit{\addcolon\space}% +#+LATEX_HEADER_EXTRA: \usebibmacro{issue}% +#+LATEX_HEADER_EXTRA: \newunit} + +#+LATEX_HEADER_EXTRA: \newbibmacro*{issue+date}{% +#+LATEX_HEADER_EXTRA: \iffieldundef{issue} +#+LATEX_HEADER_EXTRA: {. \usebibmacro{date}} +#+LATEX_HEADER_EXTRA: {\printfield{issue}% +#+LATEX_HEADER_EXTRA: \setunit*{\addspace}% +#+LATEX_HEADER_EXTRA: \usebibmacro{date}}% +#+LATEX_HEADER_EXTRA: \newunit} + +#+LATEX_HEADER_EXTRA: \renewbibmacro*{volume+number+eid}{% +#+LATEX_HEADER_EXTRA: \printfield{volume}% +#+LATEX_HEADER_EXTRA: \setunit*{\addnbspace}% NEW (optional); there's also #+LATEX_HEADER_EXTRA: \addnbthinspace +#+LATEX_HEADER_EXTRA: \printfield{number}% +#+LATEX_HEADER_EXTRA: \setunit{\addcomma\space}% +#+LATEX_HEADER_EXTRA: \printfield{eid}} +#+LATEX_HEADER_EXTRA: \DeclareFieldFormat[article]{number}{\mkbibparens{#1}} + +#+LATEX_HEADER_EXTRA: \DeclareFieldFormat{pages}{#1} + +** Page and Fonts :ignore: + +#+LATEX_HEADER_EXTRA: \pdfpagewidth 8.5in +#+LATEX_HEADER_EXTRA: \pdfpageheight 11in +#+LATEX_HEADER_EXTRA: \usepackage{setspace} +#+LATEX_HEADER_EXTRA: \usepackage{hyperref} % links (citations, references, URLs, etc.) +#+LATEX_HEADER_EXTRA: \usepackage{fixltx2e} % fix some bugs. Require proper coding of equations... +#+LATEX_HEADER_EXTRA: \usepackage{enumitem}\setlist{nosep} % shrink space between bullets +#+LATEX_HEADER_EXTRA: \usepackage{lmodern} % better i18n Postscript version of Knuth's cm fonts +#+LATEX_HEADER_EXTRA: \usepackage[final,protrusion=true,expansion=true]{microtype} % nice font tweaks +#+LATEX_HEADER_EXTRA: \usepackage[small,compact, sf]{titlesec} % reduce space +#+LATEX_HEADER_EXTRA: \usepackage[margin=1in]{geometry} % set page margins automatically +#+LATEX_HEADER_EXTRA: \usepackage[parfill]{parskip} % paragraphs have vert space not indent +#+LATEX_HEADER_EXTRA: %\usepackage{paralist} %\begin{compactitem} http://www.howtotex.com/packages/compact-lists-with-paralist +#+LATEX_HEADER_EXTRA: \usepackage[T1]{fontenc} +#+LATEX_HEADER_EXTRA: \usepackage[sc]{mathpazo} % Palatino font +#+LATEX_HEADER_EXTRA: \usepackage{fancyref} % \fref{fig:foo} makes everything pretty... +#+LATEX_HEADER_EXTRA: \usepackage{flafter} % make sure figures do not appear before their text: +#+LATEX_HEADER_EXTRA: \usepackage[all]{hypcap} % links from go to top of table/image, not bottom. +#+LATEX_HEADER_EXTRA: \usepackage[section]{placeins} % floats get placed in the section +#+LATEX_HEADER_EXTRA: \usepackage{siunitx} +#+LATEX_HEADER_EXTRA: \usepackage{commath} % \dif, \od, \pd, \md, etc. +#+LATEX_HEADER_EXTRA: \usepackage{amsmath} % provides \eqref which adds []'s. +#+LATEX_HEADER_EXTRA: %\numberwithin{equation}{section} % reference equations as [3.42] rather than 42. +#+LATEX_HEADER_EXTRA: \usepackage{amsfonts} % I hear these are also good to load +#+LATEX_HEADER_EXTRA: \usepackage{amssymb} % I hear these are also good to load +#+LATEX_HEADER_EXTRA: \usepackage[all]{onlyamsmath} % don't allow $$, eqnarray, etc. +#+LATEX_HEADER_EXTRA: %\usepackage{tocbibind} % add bib to toc + +** Code :ignore: +# #+LATEX_HEADER_EXTRA: \usepackage[gobble=auto]{pythontex} +# #+LATEX_HEADER_EXTRA: \setpythontexworkingdir{./} +# #+LATEX_HEADER_EXTRA: \usepackage{minted} +# #+LATEX_HEADER_EXTRA: \usemintedstyle{emacs} +# #+LATEX_HEADER_EXTRA: \newminted{common-lisp}{fontsize=\footnotesize} +#+LATEX_HEADER_EXTRA: \BeforeBeginEnvironment{minted}{\begin{mdframed}} +#+LATEX_HEADER_EXTRA: \AfterEndEnvironment{minted}{\end{mdframed}} +** Hyperref :ignore: +#+LATEX_HEADER_EXTRA: %\usepackage{datetime}\renewcommand{\dateseparator}{-} +#+LATEX_HEADER_EXTRA: \usepackage{xspace} % smart spaces +#+LATEX_HEADER_EXTRA: \hypersetup{ +#+LATEX_HEADER_EXTRA: colorlinks=false, % links are colored +#+LATEX_HEADER_EXTRA: urlcolor=blue, % color of external links +#+LATEX_HEADER_EXTRA: linkcolor=blue, % color of internal links +#+LATEX_HEADER_EXTRA: citecolor=blue, % color of links to bibliography +#+LATEX_HEADER_EXTRA: draft=false, % link even in draft mode +#+LATEX_HEADER_EXTRA: bookmarksopen=true, % ? +#+LATEX_HEADER_EXTRA: pdfdisplaydoctitle=true} +#+LATEX_HEADER_EXTRA: \renewcommand{\textfraction}{0.05} +#+LATEX_HEADER_EXTRA: \renewcommand{\topfraction}{0.8} +#+LATEX_HEADER_EXTRA: \renewcommand{\bottomfraction}{0.8} +#+LATEX_HEADER_EXTRA: \renewcommand{\floatpagefraction}{0.75} + +** Figures :ignore: +#+LATEX_HEADER_EXTRA: \usepackage{pdfpages} +#+LATEX_HEADER_EXTRA: \usepackage[final]{graphicx} % [final] means show figs in draft mode +#+LATEX_HEADER_EXTRA: \setkeys{Gin}{draft=false} +#+LATEX_HEADER_EXTRA: %\usepackage{wrapfig} +#+LATEX_HEADER_EXTRA: %\usepackage[Export]{adjustbox} % http://latex-alive.tumblr.com/post/81481408449 +#+LATEX_HEADER_EXTRA: %\adjustboxset{max size={\textwidth}{0.7\textheight}} +#+LATEX_HEADER_EXTRA: \usepackage{mdframed} + +** Draft Mode :ignore: +# DRAFT +#+LATEX_HEADER_EXTRA: \usepackage{ifdraft} % used for conditional stuff +#+LATEX_HEADER_EXTRA: % \ifdraft{ +#+LATEX_HEADER_EXTRA: % \usepackage{draftwatermark} +#+LATEX_HEADER_EXTRA: % \SetWatermarkText{DRAFT} +#+LATEX_HEADER_EXTRA: % \SetWatermarkLightness{0.95} +#+LATEX_HEADER_EXTRA: % \SetWatermarkScale{2}}{} +#+LATEX_HEADER_EXTRA: \ifdraft{\usepackage{lineno}\linenumbers\modulolinenumbers[5]}{} +#+LATEX_HEADER_EXTRA: \ifdraft{\doublespacing}{} +#+LATEX_HEADER_EXTRA: %\ifdraft{\usepackage{showlabels}}{} + +** Header/Footer :ignore: +# Header/footer +#+LATEX_HEADER_EXTRA: \usepackage{lastpage} % used in the footer of fancyheader +#+LATEX_HEADER_EXTRA: \usepackage{fancyhdr} +#+LATEX_HEADER_EXTRA: \pagestyle{fancyplain} +#+LATEX_HEADER_EXTRA: \lhead{}\chead{}\rhead{} +#+LATEX_HEADER_EXTRA: \lfoot{}\cfoot{}\rfoot{} +#+LATEX_HEADER_EXTRA: \lfoot{K. D. Mankoff} +#+LATEX_HEADER_EXTRA: \rfoot{p. \thepage\ of \pageref*{LastPage}} % * means no link +#+LATEX_HEADER_EXTRA: \ifdraft{\chead{DRAFT -- DO NOT DISTRIBUTE}}{} +#+LATEX_HEADER_EXTRA: \renewcommand{\headrulewidth}{0.0pt} % no bars but thanks anyway. +#+LATEX_HEADER_EXTRA: \renewcommand{\footrulewidth}{0.0pt} +** COMMENT GitInfo :ignore: +# GitInfo +#+LATEX_HEADER_EXTRA: \usepackage[mark,missing={master}]{gitinfo2} +#+LATEX_HEADER_EXTRA: \renewcommand{\gitMark}{\gitBranch\,@\,\gitAbbrevHash{}\gitDirty\,[\gitAuthorDate]} + +** Embedded file :ignore: +#+LATEX_HEADER_EXTRA: \usepackage{embedfile} +#+LATEX_HEADER_EXTRA: \embedfile{\jobname.org} + +* TODO QC :noexport: + +(langtool-check) +(langtool-correct-buffer) +(langtool-check-done) + +Export as ASCII, then, + +#+BEGIN_SRC emacs-lisp :results none :eval no-export +(setq org-ascii-text-width 80) +(org-ascii-export-to-ascii) +#+END_SRC + +#+BEGIN_SRC sh :cmdline "-i" :results output :eval no-export +this='org.txt' +aspell list < $this | sort | uniq +echo "\n" + +declare -a cmds=("word_weasel" "word_dupe" "word_passive" "style" "diction -s") +for cmd in "${cmds[@]}"; do + echo "###\n### $cmd\n###" + #echo $cmd $this + ${cmd} ${this} + echo "\n" +done +#+END_SRC +#+RESULTS: + +* LaTeXdiff :noexport: + +#+BEGIN_SRC sh :results verbatim :results none :eval no-export +cd .. +OLD=ms.10a3fca.tex +NEW=ms.tex +latexdiff $OLD $NEW > diff.tex + +# latexdiff --exclude-textcmd=href --exclude-textcmd=hyperref $OLD $NEW > diff.tex + +sed s/colorlinks=true/colorlinks=false/ diff.tex > tmp.tex +mv tmp.tex diff.tex +# latexmk diff.tex +#+END_SRC +#+RESULTS: + + From 89e46d3e171eb0ae559cb130994daa327638a507 Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Tue, 24 Jun 2025 04:02:26 -0700 Subject: [PATCH 06/14] Minor edits --- ms.org | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/ms.org b/ms.org index ca8ea18..935245f 100644 --- a/ms.org +++ b/ms.org @@ -84,7 +84,7 @@ Changes in ice sheet mass directly impacts sea-level change, so Greenland and An Studies that assess mass balance typically use one or a combination of three methods. -The gravimetric mass balance (GMB) method directly measures changes in the gravitational field generated by the ice sheets. It is observation-based and excels at measuring the grounded ice contribution to sea level rise, but cannot observe changes in floating ice as these do not cause changes in the gravitational field, nor distinguish processes that contribute to changes of the grounded ice. Spatial resolution is \sim100 km km and temporal resolution is monthly (e.g., citet:groh_2019,dohne_2023). +The gravimetric mass balance (GMB) method directly measures changes in the gravitational field generated by the ice sheets. It is observation-based and excels at measuring the grounded ice contribution to sea level rise, but cannot observe changes in floating ice as these do not cause changes in the gravitational field, nor distinguish processes that contribute to changes of the grounded ice. Spatial resolution is \sim100 km and temporal resolution is monthly (e.g., citet:groh_2019,dohne_2023). The volumetric method estimates the total volume and change in volume of the ice sheets from altimetry. This method is also observation-based, has spatial resolution of \sim1000 m and temporal resolution is monthly (c.f citet:khan_2022_alt,simonsen_2021). It can be used over floating ice, and this is the primary method for observing ice shelf thinning from which ice shelf basal melt is inferred (e.g., citet:greene_2022,davison_2023). However, the volumetric method cannot be used to distinguish between surface and grounded basal processes and only reports total thinning \citep[c.f.,][]{karlsson_2021}. @@ -293,7 +293,7 @@ In Antarctica, the fastest rates of ice shelf grounding line retreat are in Amun *** Grounded ice basal melt -Grounded ice basal melt citep:karlsson_2021,van-liefferinge_2013 comes from geothermal heat flux, frictional heat from sliding, and in Greenland but not Antarctica, viscous heat dissipation from surface runoff routed to the bed citep:mankoff_2017_VHD. Ice-sheet wide, the term is split approximately evenly among the two (Antarctica) or three (Greenland) terms. The geothermal flow term is steady state but poorly observed under the ice sheets - only a few ground-truth measurements exist (c.f. citet:colgan_2022), and models of the spatial distribution of geothermal flow show substantial disagreement citep:zhang_2024. +Grounded ice basal melt citep:karlsson_2021,van-liefferinge_2013 comes from geothermal heat flux, frictional heat from sliding, and in Greenland but not Antarctica, viscous heat dissipation from surface runoff routed to the bed citep:mankoff_2017_VHD. Ice-sheet wide, the term is split approximately evenly among the two (Antarctica) or three (Greenland) terms. The geothermal flux term is steady state but poorly observed under the ice sheets - only a few ground-truth measurements exist (c.f. citet:colgan_2022), and models of the spatial distribution of geothermal flow show substantial disagreement citep:zhang_2024. ** Inputs @@ -388,7 +388,7 @@ Calving and frontal melt uncertainty is 30 % between those two, but combined is For net freshwater mass flow rate we use gross values for ice shelf basal melt and frontal retreat, treat each term as independent, and report the square root of the sum of the squared uncertainties. -For derived mass loss and mass gain and uncertainty, traditional uncertainty propagation leads to unreasonably large numbers, because the values are large and the residual is small. We therefore estimate the residual uncertainty using the weighted uncertainty for each term in Tables \ref{tab:gl} and \ref{tab:aq}. Using this method, Greenland uncertainty is 15 %, and Antarctic uncertainty is 60 % in the East, 70 % in the west, 50 % in the Peninsula, and 60 % overall. +For derived mass loss, mass gain, and uncertainty, traditional uncertainty propagation leads to unreasonably large numbers, because the values are large and the residual is small. We therefore estimate the residual uncertainty using the weighted uncertainty for each term in Tables \ref{tab:gl} and \ref{tab:aq}. Using this method, Greenland uncertainty is 15 %, and Antarctic uncertainty is 60 % in the East, 70 % in the west, 50 % in the Peninsula, and 60 % overall. A comparison of our mass change and uncertainty results with mass change and uncertainty from the independent GMB method citep:groh_2019 shows an agreement between the two. Our uncertainty is consistently larger for the same domain, and our estimates are within the GMB uncertainty. GMB uncertainty is 10 % in Greenland, and 115 %, 10 %, 35 %, and 30 % for Antarctic regions East, West, Peninsula, and overall - well within the uncertainty values we derive above (Table \ref{tab:results_mc}, which also includes uncertainty in units of Gt yr^{-1}). @@ -408,7 +408,7 @@ The largest shift in Antarctica is 1997 - 2021 vs the baseline 2010 -- 2019. As *** Rounding -In Table \ref{tab:aq} we round to the nearest whole number, with the exception of values less than 0.5 and greater than 0 which are rounded up to 1. Everywhere else values are rounded to the nearest 5 Gt yr^{-1}, with the exception of values less than 2.5 and greater than 0 which are rounded up to 5. We choose to round because because sub-decimal precision of terms presented here seems unlikely to be correct, even if it is correct it is not relevant to results, and for aesthetic reasons. +In Table \ref{tab:aq} we round to the nearest whole number, except values between 0 and 0.5 which are rounded up to 1. Everywhere else values are rounded to the nearest 5, except values between 0 and 2.5 which are rounded up to 5. We choose to round because because sub-decimal precision of terms presented here seems unlikely to be correct, even if it is correct it is not relevant to results, and for aesthetic reasons. * Results From d2b3d0b1ceb66a1fe754d04dc3c7dbc61a6514a7 Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Tue, 24 Jun 2025 04:33:07 -0700 Subject: [PATCH 07/14] Round to 5 --- README.org | 2 +- dat/gl_baseline.csv | 2 +- ms.org | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/README.org b/README.org index 239c509..efe59f4 100644 --- a/README.org +++ b/README.org @@ -167,7 +167,7 @@ dyn -> bmb | SHELFFREEZE | Ice shelf basal freeze-on | 5 | 40 | I_o | 2013-2022 | wang_2024 | | GZRET | Grounding line retreat | 5 | ? | O_g | | | | GZADV | Grounding line advance | 0 | ? | I_g | | | -| FRONTRET | Frontal retreat | 50 | 4 | O_o | 2010-2020 | kochtitzky_2023 | +| FRONTRET | Frontal retreat | 50 | 5 | O_o | 2010-2020 | kochtitzky_2023 | | FRONTADV | Frontal advance | 0 | | I_o | 2010-2020 | kochtitzky_2023 | #+CALL: orgtbl2csv(tbl="gl_baseline") diff --git a/dat/gl_baseline.csv b/dat/gl_baseline.csv index 4adad10..833fff9 100644 --- a/dat/gl_baseline.csv +++ b/dat/gl_baseline.csv @@ -15,5 +15,5 @@ SHELFMELT,Ice shelf basal melt,25,40,O_o,2013-2022,wang_2024 SHELFFREEZE,Ice shelf basal freeze-on,5,40,I_o,2013-2022,wang_2024 GZRET,Grounding line retreat,5,?,O_g,, GZADV,Grounding line advance,0,?,I_g,, -FRONTRET,Frontal retreat,50,4,O_o,2010-2020,kochtitzky_2023 +FRONTRET,Frontal retreat,50,5,O_o,2010-2020,kochtitzky_2023 FRONTADV,Frontal advance,0,,I_o,2010-2020,kochtitzky_2023 diff --git a/ms.org b/ms.org index 935245f..e427086 100644 --- a/ms.org +++ b/ms.org @@ -185,7 +185,7 @@ Ice shelf basal melt & 25 & 40 & O_o & 2013-2022 & \citet{wang_2024} \\ Ice shelf basal freeze-on & 5 & 40 & I_o & 2013-2022 & \citet{wang_2024} \\ Grounding line retreat & 5 & ? & O_g & & See methods \\ Grounding line advance & 0 & ? & I_g & & See methods \\ -Frontal retreat & 50 & 4 & O_o & 2010-2020 & \citet{kochtitzky_2023} \\ +Frontal retreat & 50 & 5 & O_o & 2010-2020 & \citet{kochtitzky_2023} \\ Frontal advance & 0 & & I_o & 2010-2020 & \citet{kochtitzky_2023} \\ \end{tabular} \end{table*} From bd405e7f7f0fb3f94d4ef6541172f6cdab610fcf Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Sat, 28 Jun 2025 16:08:25 +0100 Subject: [PATCH 08/14] Comments from Chad --- ms.org | 21 +++++++++------------ reviews/review.org | 23 ++++++++++++++++++----- 2 files changed, 27 insertions(+), 17 deletions(-) diff --git a/ms.org b/ms.org index e427086..d903cd8 100644 --- a/ms.org +++ b/ms.org @@ -68,11 +68,11 @@ Correspondence: Ken Mankoff #+LATEX: \begin{abstract} -Ice sheet mass loss is typically provided for grounded ice, because changes in floating ice are more difficult to measure and contribute minimally to sea level rise. However, net freshwater volume flow rate across ice sheet boundaries, including floating ice, is a better metric of ice sheet health. +Ice sheet mass loss is typically provided for grounded ice, because changes in floating ice are more difficult to measure and contribute minimally to sea level rise. However, net freshwater mass flow rate across ice sheet boundaries, including floating ice, is a better metric of ice sheet health. Here we present total mass flows across ice sheet boundaries for both the Greenlandic and Antarctic ice sheets and their peripheral glaciers from 2010 through 2019. In addition to total mass flow, we provide constituent terms and gross rather than net values, including components that combine to provide surface mass balance (SMB). -Ice mass loss in Greenland is 330 \pm50 Gt yr^{-1} which is ~30 % larger than the 255 \pm40 Gt yr^{-1} grounded ice mass loss estimates that neglect floating ice changes. Ice mass loss in Antarctica is 450 \pm270 Gt yr^{-1} which is ~2.4x larger than the 190 \pm115 Gt yr^{-1} grounded ice mass loss estimates. Freshwater mass flow rate from Greenland is ~1065 \pm120 Gt yr^{-1} or ~3x mass loss (~4x grounded mass loss), and from Antarctica is ~3110 \pm1515 Gt yr^{-1}, or ~7x mass loss (~16x grounded mass loss). +Ice mass loss in Greenland is 330 \pm50 Gt yr^{-1} which is ~30 % larger than the 255 \pm40 Gt yr^{-1} grounded ice mass loss estimates that neglect floating ice changes. Ice mass loss in Antarctica is 450 \pm270 Gt yr^{-1} which is ~2.4x the 190 \pm115 Gt yr^{-1} grounded ice mass loss estimates. Freshwater mass flow rate from Greenland is ~1065 \pm120 Gt yr^{-1} or ~3x mass loss (~4x grounded mass loss), and from Antarctica is ~3110 \pm1515 Gt yr^{-1}, or ~7x mass loss (~16x grounded mass loss). #+LATEX: \end{abstract} #+LATEX: \end{frontmatter} @@ -126,7 +126,7 @@ This work does not explicitly report submarine melt, the sum of all melt that oc We do not use the term `basal melt' because it does not distinguish between grounded or floating ice. Instead we use `ice shelf basal melt' and `grounded ice basal melt'. -We generally avoid the term `flux' which is by definition mass or volume flow rate per unit area. Because we do not report results per unit area, we use `mass flow rate' [Gt yr^{-1}]. This is equal to `volume flow rate' [km^3 yr^{-1}] assuming freshwater density of 1000 kg m^{-3}. +We generally avoid the term `flux' which by definition is per unit area. Because we do not report results per unit area, we use `mass flow rate' [Gt yr^{-1}]. Not all processes are directly observable due to limitations in measurements, nor are they all modeled. We are limited by the data provided in the products that we ingest to this work. We therefore sometimes report process and sometimes product. In many cases products and process are the same (e.g., `snowfall' process and the `snowfall' data product from the RCM). An example where product rather than process is presented is the `frontal retreat' data product which is a combination of the calving and frontal melting processes. An example where processes rather than product is presented is the Greenland ice discharge product which is not shown because discharge is measured a few km upstream of the grounding line. Instead, we show the downstream calving and frontal melt processes. @@ -267,7 +267,7 @@ We use constituent terms (i.e., gross, not net) of surface mass balance from the *** Calving, frontal melt, and ice shelf basal melt -In Greenland, we use ice discharge across flux gates ~5 km upstream from the grounding lines citep:mankoff_2021. That discharge term at the flux gates is known to overestimate discharge across the downstream grounding line because it neglects SMB losses between the flux gate and grounding line. These losses are estimated at ~17 Gt yr^{-1} by citet:kochtitzky_2023 who uses flux gates closer to the grounding line than the citet:mankoff_2020_solid flux gates. To account for this increased melt due to more distant flux gates we increase the citet:kochtitzky_2023 estimate to 20 Gt yr^{-1} and then reduce the citet:mankoff_2020_solid discharge by 20 Gt yr^{-1}, meaning frontal melt and calving are each reduced by 10 Gt yr^{-1} (see below for discharge split to frontal melt and calving). Peripheral glaciers are not included in the citet:mankoff_2020_solid product, but are added through estimates from citet:bollen_2023. This adjustment of below-flux-gate SMB losses from 17 to 20 Gt yr^{-1} is somewhat arbitrary and based on author estimation. +In Greenland, we use ice discharge across flux gates ~5 km upstream from the grounding lines citep:mankoff_2021. That discharge term at the flux gates is known to overestimate discharge across the downstream grounding line because it neglects SMB losses between the flux gate and grounding line. These losses are estimated at ~17 Gt yr^{-1} by citet:kochtitzky_2023 who uses flux gates closer to the grounding line than the citet:mankoff_2020_solid flux gates. The elevation of flux gates used by Mankoff citet:mankoff_2020_solid were typically located tens to hundreds of meters higher (and therefore further from the calving front) than the flux gates used by citet:kochtitzky_2023. We estimate an average of ~3 Gt yr^{-1} are lost to surface melt while the ice transits this region. When estimating discharge from the perimeter of the ice sheet, we therefore subtract 20 Gt/yr from the more inland observations by citet:mankoff_2020_solid meaning frontal melt and calving are each reduced by 10 Gt yr^{-1} (see below for discharge split to frontal melt and calving). Peripheral glaciers are not included in the citet:mankoff_2020_solid product, but are added through estimates from citet:bollen_2023. Greenlandic discharge from the flux gates is split into either calving or frontal melt at the calving front, which is the grounding line if no ice shelf is present, or shelf front if an ice shelf is present. This split is highly uncertain and minimally studied, but citet:rignot_2010 estimate that 20 - 80 % of the summer ice-front is directly melted by the ocean for the three glaciers they studied. From this, we split the discharge 50 \pm30 % between calving and frontal melt. @@ -390,7 +390,7 @@ For net freshwater mass flow rate we use gross values for ice shelf basal melt a For derived mass loss, mass gain, and uncertainty, traditional uncertainty propagation leads to unreasonably large numbers, because the values are large and the residual is small. We therefore estimate the residual uncertainty using the weighted uncertainty for each term in Tables \ref{tab:gl} and \ref{tab:aq}. Using this method, Greenland uncertainty is 15 %, and Antarctic uncertainty is 60 % in the East, 70 % in the west, 50 % in the Peninsula, and 60 % overall. -A comparison of our mass change and uncertainty results with mass change and uncertainty from the independent GMB method citep:groh_2019 shows an agreement between the two. Our uncertainty is consistently larger for the same domain, and our estimates are within the GMB uncertainty. GMB uncertainty is 10 % in Greenland, and 115 %, 10 %, 35 %, and 30 % for Antarctic regions East, West, Peninsula, and overall - well within the uncertainty values we derive above (Table \ref{tab:results_mc}, which also includes uncertainty in units of Gt yr^{-1}). +A comparison of our mass change and uncertainty results with mass change and uncertainty from the independent GMB method citep:groh_2019 shows an agreement between the two. Our uncertainty is consistently larger for the same domain, and our estimates well are within the GMB uncertainty (Table \ref{tab:results_mc}). ** Other @@ -418,7 +418,7 @@ All mass flow terms and values for each term are shown in Tables \ref{tab:gl} an \begin{figure*} \centering{\includegraphics[width=0.85\textwidth]{gl_baseline.pdf}} -\caption{Sankey mass flow diagram for Greenland. Numbers are mass flow rate [Gt yr\textsuperscript{-1}]. All widths are proportional within and between images. Gray is solid phase, blue is liquid phase, and yellow is gas phase. Inputs (left, arrow tail) are balanced by outputs (right, arrow head). Because Sankey diagrams balance all inputs and outputs, mass losses require an input (red) to balance the larger outputs. Mass loss inputs are additional flow through the system, the source being historical ice not represented by the other inputs.} +\caption{Sankey mass flow diagram for Greenland. Numbers are mass flow rate [Gt yr\textsuperscript{-1}]. All widths are proportional within and between images. Gray is solid phase, blue is liquid phase, and yellow is gas phase. Inputs (left, arrow tail) are balanced by outputs (right, arrow head) and come from IO column of Table \ref{tab:gl}. Because Sankey diagrams balance all inputs and outputs, mass losses require an input (red) to balance the larger outputs. Mass loss inputs are additional flow through the system, the source being historical ice not represented by the other inputs.} \label{fig:gl} \end{figure*} @@ -673,15 +673,12 @@ There are a variety of simplifications. For example, not all rainfall input turn The value of some terms presented here are biased by the temporal resolution of the upstream product that is an input to this work. This is the case for all terms until the observations are instantaneous, but impacts bi-directional processes like advance and retreat or step change processes like calving more than slowly varying processes like discharge. For example, in Greenland we report 50 Gt yr^{-1} frontal retreat and 0 Gt yr^{-1} frontal advance using decade-scale reporting from citet:kochtitzky_2023. However, that is a decadal net term despite the majority of this work reporting gross terms, and sub-decadal advances are not captured there. -Given a theoretical reference front location for calving and frontal melt, \(X\) Gt of frontal retreat may actually be \(X + Y\) Gt frontal retreat offset by \(Y\) Gt frontal advance that occurred at a temporal resolution below the observations. This does not matter for total freshwater mass or volume flow rate, which should be calculated using net frontal change, not gross frontal retreat. Ice shelf basal freeze-on and melt share some similar temporal resolution dependent issues, and a decision to use net or gross is dependent on the use case. - -# For example, if a glacier monitored each hour moves forward one meter and retreats two meters every day, after a year frontal advance should be 365 m and frontal retreat 720 m. That same glacier monitored once a year would show only a frontal retreat of 365 m. From this simple example it appears the values presented here are all highly dependent on the temporal resolution, but this is not the case because upstream processes set limits and constraints on the boundary processes and products reported here. That is, Greenlandic discharge (sum of calving and frontal melt) is well constrained and sets an upper bound on frontal advance. Ice shelf basal freeze-on and melt share some similar temporal resolution dependent issues. - -# The lack of frontal advance and magnitude of frontal retreat in Greenland may be due to the internal temporal resolution of citet:kochtitzky_2023. That is, given a theoretical steady front location for the discharge-generated calving and frontal melt, \(X\) Gt of frontal retreat may actually be \(X + Y\) Gt frontal retreat offset by \(Y\) Gt frontal advance that occurred at a temporal resolution below the observations. This does not matter for total freshwater volume flow rate, which should be calculate using net frontal change, not gross frontal retreat. - +Given a theoretical reference front location for calving and frontal melt, \(X\) Gt of frontal retreat may actually be \(X + Y\) Gt frontal retreat offset by \(Y\) Gt frontal advance that occurred at a temporal resolution below the observations. This does not matter for total freshwater mass which should be calculated using net frontal change, not gross frontal retreat. Ice shelf basal freeze-on and melt share some similar temporal resolution dependent issues, and a decision to use net or gross is dependent on the use case. * Summary +Previous estimates of mass loss for Greenland and Antarctica show a range of values citep:otosaka_2023, highlighting the need for improved estimates and a common framework for accounting of ice sheet mass balance. The work presented here offers one such framework that could be adopted by the community for future balance estimates. + In this work we report total ice sheet and peripheral glacier mass change for both Greenland and Antarctica for the 2010 through 2019 period, reporting not just grounded ice mass loss, but also changes in floating ice. We have provided all available constituent terms and gross not net values. This detailed information provides a better picture of ice sheet health than focusing only on mass loss or only on grounded ice. We have also displayed these constituent terms and net values using Sankey diagrams which provide an information-dense display showing a) the relations between terms and processes, b) quantitative display of the magnitude of each term, and c) visual comparisons between different ice sheets or sub-regions of ice sheets, as the magnitude of the graphic uses the same proportion between all images. diff --git a/reviews/review.org b/reviews/review.org index bc8aa72..3953595 100644 --- a/reviews/review.org +++ b/reviews/review.org @@ -44,7 +44,7 @@ Bolded items removed. In the original submission, bolded RHS items (frontal retr For consistency, would it be possible to distinguish the terms in the Input–Output (IO) method using the same subscripts applied to the Greenland Ice Sheet in Table 1? {{{BEGIN_REPLY}}} -We're not clear what is being asked here. The terms in Table 1 are the same terms in Figure 1. The inputs are all on the LHS and the outputs are all on the RHS. This whole manuscript focuses on the IO method. The methods section is clearly separated into "outputs" and then "inputs". +We have added a note in Figure 1 caption that inputs on left and outputs on right correspond to the IO column of Table 1. {{{END_REPLY}}} The manuscript uses terms like “mass loss,” “drawdown,” “frontal melt,” and “net freshwater export”. Although the distinctions are defined in the text, a graphical glossary or schematic (perhaps in the supplement) showing mass pathways, phases (ice, liquid, vapor), and boundaries (grounded, floating, ocean) would help readers navigate the terminology more easily. @@ -106,7 +106,20 @@ Text added. Developing community consesus on the absolute magnitude of flows is also important. For example, Rignot2008 (https://doi.org/10.1029/2008GL035417) reports a balance flux of 350 Gt/yr for Greenland, while vandenBroeke2009 (https://doi.org/10.1126/science.1178176) report a balance flux of 480 Gt/yr. These balance fluxes are used to partition contemporary mass loss into runoff and iceberg calving, which highlight why community consensus on the flows is important. {{{BEGIN_REPLY}}} -We're not sure about this. There is value in community consensus, but only if it is correct! Anyway, community consensus is out of scope of this manuscript. +We're not sure about this. There is value in community consensus, but only if it is correct! I'm also unable to find those numbers in those papers, + +citet:rignot_2008_mass reports ++ Max of -230 Gt/yr in Fig. 3 + +And citet:van-den-broeke_2009 reports ++ 2003–2008 GrIS mass loss rate of –237 +- 20 Gt year−1 ++ In total, the GrIS lost 1492 Gt between 2000 and 2008, or 166 Gt year−1 ++ Mass loss rate increased to 273 Gt year−1 in the period 2006–2008 ++ Even their supplemental which shows a graph has max -300 Gt/yr. + +and it's not clear that the different numbers are problematic - they could both be correct and from different years. + +But we've added a sentence to the summary citing citet:otosaka_2023 that estimates disagree, and a common framework may be helpful. {{{END_REPLY}}} Anomalies in Flows (L318) - It would be desirable to consider showing the Sankeys for high and low mass balance years for Greenland, for example, to perhaps demonstrate how the Sankeys can plainly visualize anomalies in different mass flows in different years. @@ -117,7 +130,7 @@ We hope that others will use these diagrams for this in future works. We are alr ** Minor comments -Authors - I presume that Alex Gardner has contirbuted substantially to this article, as he appears twice in the author list! +Authors - I presume that Alex Gardner has contributed substantially to this article, as he appears twice in the author list! {{{BEGIN_REPLY}}} Fixed. @@ -156,13 +169,13 @@ We changed the use at L114 from "leaves the RCM" to "leaves the ice sheet" as su L124 - You should, for consistency, also state the ice sheet density you are assuming for converting volume changes to water mass flow. {{{BEGIN_REPLY}}} -The data we ingest report values in mass dimensions and units, and likely use complicated methods and multiple values for converting volume to mass - for example, firn models with varying density. We feel that addressing this is out of scope, given that we do not do any of these calculations or conversions here. +For consistency we have removed mention of volume flow rates, because we only report mass flow rates here (even though the two are the same value). The data we ingest report values in mass dimensions and units (even if using the 'volume method'), and the upstream products likely use complicated and multiple values for converting volume to mass - for example, firn models with varying density. We feel that addressing this is out of scope, given that we do not do any of these calculations or conversions here. {{{END_REPLY}}} L246 - It is odd to see GMB uncertainties expressed in %. There should perhaps be a sentence introducing GMB uncertainties in their native Gt/yr and then converting this into percentages of the mass flow. {{{BEGIN_REPLY}}} -Given the hand-wavyness involved in many uncertainty treatments, we find it odd to express it in absolute units (often with multiple decimal places of precision!). We have added a sentence here that other units are available in Table 4. +We have removed this sentence and here just refer readers to Table 4 which has uncertainty in both Gt yr^{-1} and %. {{{END_REPLY}}} L266 - Extra space before the period. From 79ab5b6ba467d61643bf4ce3ebc0f3264293c91f Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Sat, 28 Jun 2025 16:09:13 +0100 Subject: [PATCH 09/14] cleanup --- ms.org | 20 -------------------- 1 file changed, 20 deletions(-) diff --git a/ms.org b/ms.org index d903cd8..dcfe425 100644 --- a/ms.org +++ b/ms.org @@ -837,23 +837,3 @@ for cmd in "${cmds[@]}"; do echo "\n" done #+END_SRC - -* LaTeXdiff :noexport: -#+BEGIN_SRC sh :results verbatim :results none :eval no-export -OLD=A380_ce66c80.tex -NEW=A380.tex -latexdiff --disable-citation-markup --append-safecmd="textcite,autocite" --config="PICTUREENV=(?:picture|DIFnomarkup|tabular)[\w\d*@]*" $OLD $NEW > diff.tex - -# NOTE: Stil requires some manual editing of diff.tex, particularly -# when \DIFDEL and \DIFADD are inside CITE commands. - -# latexmk diff.tex -#+END_SRC -#+RESULTS: - -* Release :noexport: - -#+BEGIN_SRC bash :exports none :results none -pandoc ms.org --bibliography library.bib --citeproc --csl ~/Documents/templates/copernicus-publications.csl -o ms.docx -# xdg-open ms.docx -#+END_SRC From 0d6892c175cd3b442b90c17ab5ebd36efb48efca Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Sat, 28 Jun 2025 20:56:39 +0100 Subject: [PATCH 10/14] Edits in response to reviewer comments --- ms.org | 4 ++++ reviews/review.org | 22 +++++++++++++--------- 2 files changed, 17 insertions(+), 9 deletions(-) diff --git a/ms.org b/ms.org index dcfe425..1832c99 100644 --- a/ms.org +++ b/ms.org @@ -398,6 +398,10 @@ A comparison of our mass change and uncertainty results with mass change and unc In Antarctica, we use the MEaSUREs Antarctic Boundaries for IPY 2007-2009 from Satellite Radar, Version 2 (NSIDC product 0709; citet:mouginot_2017,rignot_2013) to separate Antarctica into East, West, and Peninsula. Discharge from Antarctic islands is reported once for all islands by citet:rignot_2019. In order to separate island discharge by region, we find the area of all islands per region, and divide the discharge proportional to area. This implicitly assumes that discharge from each island scales linearly with the area of each island. +*** Peripheral glaciers + +In Antarctica it is not easy to define or remove peripheral glaciers. We are also including floating ice, which is moves the focus away from the traditional assessments of `grounded ice sheet' to a more holistic view of `regional ice sheet health'. It naturally followed to include peripheral glaciers in Greenland too. + *** Temporal alignment Most values come from time series that we limit to 2010 through 2019, or are provided for that time span. Some values cover different periods, and in these cases we use the closest available time span to 2010 through 2019 (Tables \ref{tab:gl} and \ref{tab:aq}.). The impact of non-overlap is a function of the scale and variability of the term. diff --git a/reviews/review.org b/reviews/review.org index 3953595..68c358d 100644 --- a/reviews/review.org +++ b/reviews/review.org @@ -11,6 +11,8 @@ #+MACRO: BEGIN_REPLY @@latex:{\bfseries\color{brown}@@ @@odt:@@ #+MACRO: END_REPLY @@latex:}@@ @@odt:@@ +\maketitle + We're happy to see all three reviewers suggest only minor comments. We have addressed each comment in the revised manuscript, or explained here why we are not making the recommended changes. We also reply in-line below to each comment. Comments from reviewers are in normal font. Replies are in {{{BEGIN_REPLY}}}colored bold font{{{END_REPLY}}}. \tableofcontents @@ -56,7 +58,7 @@ The phases are captured in the current diagrams, and more clearly stated in the While the authors acknowledge that traditional uncertainty propagation leads to overestimates in residual terms, the alternative method—using weighted uncertainties—still leaves ambiguity. Would the authors consider adding a brief text to reinforce the validity of their reported 15–70% uncertainty range? {{{BEGIN_REPLY}}} -We have added additional text when comparing to GMB results pointing out the agreement between these two methods. +This sentence was removed based on suggestions from another reviewer. {{{END_REPLY}}} The merging of datasets with varying resolutions and time periods (e.g., 1997–2021 vs. 2010–2019) raises concerns about temporal alignment. The authors mention briefly how they choose the values, but discussion on how these are reconciled or weighted would be valuable? @@ -88,13 +90,15 @@ Added text providing a bit more background and detail on the grounded basal mass Mass Change Labeling (L230) - Rather than "drawdown or retreat" and "build-up or expansion", it would seem more straightfoward to simply label these outcomes as "decreasing ice-sheet mass" and "increasing ice-sheet mass". I would suggest this throughout. {{{BEGIN_REPLY}}} -Our original version labeled these "mass loss" and "mass gain", which is, we think, the simplest label that the reviewer is moving towards with their suggestions of "decreasing ice-sheet mass" and "increasing ice-sheet mass". We changed to the current wording after many discussions, but agree with the reviewer and have changed back to "mass loss" and "mass gain" in the Sankey diagrams. The text still describes in more detail that "loss" is one of "drawdown" or "retreat". +Our original version labeled these "mass loss" and "mass gain", which is, we think, the simplest label that the reviewer is moving towards with their suggestions of "decreasing ice-sheet mass" and "increasing ice-sheet mass". We changed to the current wording after many discussions, but agree with the reviewer and have changed back to "mass loss" and "mass gain" in the Sankey diagrams. The text still describes in more detail that "loss" is one of "drawdown" or "retreat", and "gain" is one of "build-up" or "expansion". {{{END_REPLY}}} A tangential thought, is that there can be longer term ice dynamic processes at play, for example transient millennial-scale thickening in Greenland (i.e. https://doi.org/10.1126/science.aab1702), which are implicity included within this "increasing ice-sheet mass". {{{BEGIN_REPLY}}} -This discussion - which I think is "what is the definition of steady state or baseline" - is an important one for the community to have but way outside the scope of this work. +This discussion - which I think is "what is the definition of steady state or baseline" - is an important one for the community to have but outside the scope of this work. + +I do believe though that this display may help people recognize that there may be no true "steady state" to this system, even if it sometimes is balanced. Even when inputs balance outputs without the "mass loss" or "mass gain" additional term, a balanced system one year or decade is likely to be different, even if still balanced, on a different year or decade. {{{END_REPLY}}} Constituent versus Gross (L288) - Beyond the Sankey diagrems, this is perhaps the most important point of the article. You should note that details at the levels of consituent terms are needed to highlight and understand compensating errors in SMB model inter-comparison (i.e. https://doi.org/10.5194/tc-15-3751-2021). @@ -112,9 +116,9 @@ citet:rignot_2008_mass reports + Max of -230 Gt/yr in Fig. 3 And citet:van-den-broeke_2009 reports -+ 2003–2008 GrIS mass loss rate of –237 +- 20 Gt year−1 -+ In total, the GrIS lost 1492 Gt between 2000 and 2008, or 166 Gt year−1 -+ Mass loss rate increased to 273 Gt year−1 in the period 2006–2008 ++ 2003–2008 GrIS mass loss rate of –237 +- 20 Gt year^{-1} ++ In total, the GrIS lost 1492 Gt between 2000 and 2008, or 166 Gt year^{-1} ++ Mass loss rate increased to 273 Gt year^{-1} in the period 2006–2008 + Even their supplemental which shows a graph has max -300 Gt/yr. and it's not clear that the different numbers are problematic - they could both be correct and from different years. @@ -245,7 +249,7 @@ We agree. We hope the text explanation of why mass loss is an input and mass gai Line 108: I was surprised to see that the estimates of mass flow include peripheral glaciers – so it is not just the ice sheets as I assumed from the title. Why did you decide to include peripheral glaciers? {{{BEGIN_REPLY}}} -In Antarctica it is not easy to remove peripheral glaciers. And once we started including floating ice, the focus moves away from the traditional 'grounded ice sheet' to a more holistic view of 'regional ice sheet health' in which case including all of the ice made sense to us. There was some minor internal disagreement on this choice. We leave the title, but add mention of peripheral glaciers in the abstract. +In Antarctica it is not easy to remove peripheral glaciers. And once we started including floating ice, the focus moves away from the traditional 'grounded ice sheet' to a more holistic view of 'regional ice sheet health' in which case including all of the ice made sense to us. There was some minor internal disagreement on this choice. We leave the title, but add mention of peripheral glaciers in the abstract and elsewhere, and have added a section to Methods describing this decision. {{{END_REPLY}}} Lines 147-151: Some of these values seem somewhat arbitrary. How did you decide to increase the estimate of losses from 17 Gt per year to 20 Gt per year? (After reading about rounding later in the manuscript, I’m guessing this was just part of rounding?) @@ -255,7 +259,7 @@ We agree some values are somewhat arbitrary. We believe that many values are som To your specific question about rounding from 17 to 20: This was done prior to the tabular rounding to take into account the specific text from citet:kochtitzky_2023 who write, "Because our fluxgates were typically located tens to hundreds of meters lower than those in the similar studies (King et al., 2018; Mankoff et al., 2020), the melt correction for these studies would be higher than values presented herein, although it is beyond the scope of the current study to determine what those values would be". which is why we believe using the citet:kochtitzky_2023 value of 17 Gt yr^{-1} is too low. -We have added text highlighting arbitrariness. +We have added text describing this in more detail. {{{END_REPLY}}} Line 154: Not all glaciers in Greenland calve at the grounding line – some have floating fronts (seasonally or year-round), even if not typically considered to have an ice shelf (e.g., Jakobshavn, Helheim). @@ -367,7 +371,7 @@ Fixed. 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zJB(MrQTj1ftMsRj8_4udSf!p(K1QG-M+}&s`jkHxZyQHpMa3MaDK&x3P2NQ_yGE%+ z39{*wmAb#|us}8%CNrli+bBbo-0<4dUx}h!32ZOc+9X1gUn`Q!qI9F4qllgbWG1{@ z4X$!#xp)1(X}USQ+PvH$)y6RL(@6V`5U1-4cO}{fUH)GVdC%7qV6ua+qqX9htI#*C zc9Ma%LD$i~xN1qBTMqI#bVg!Z(SG5mu59T~VV+iIY@XM9Ae;Cc%@%4=;*x|K8b0hv zgEEub3Fa4yw!Ur=$gTVKyhQdXV! znNzFWEjV{lU?u^;F|(ivfsK7pK>UeDY98zt1Fx51CEe(4;hVr&>tNZ{@td5(dT@1h zcW;A3rMjEexnpF;XLW7u#1})CDPx@{+g2kF3QFx%vzVJVA;n@`8;g?*7hHTfWDX*s zu&W2Fg6u=JitXj0@aV2uxfq87RG^1BxaN_d{`HO+8Y$JMEn8?(PB8FM_bf z|Jip2MX>DEK@x}?7+waQNkL8y?kcX`iF9&yKLfR3l zI<`oe`Xn4N=+!;5d#TYXr6r5n)ub-3FbbLJHXkI#jtNYmd^pbDl zea`>aSWX6u*DLMwfE?X%=`gdg%37Xp*Fcj{&WHcA?+pmvCHZuZ7?7)4;u=wsl30>z zm0Xkxq!^40j7)V6jCBnSLW~ToOf9So4YUmmtPBiv7JdPqdxoSTH$NpatrE9}*grlG zff{r{He@CzTP5cgR2F5XXOu8F!&nNAMJ1VOsTB&r`DrEPiAAXjMh1q49J`K!j=(U4 zX-r8iPA`wz$&dg5 diff --git a/igs.bst b/igs.bst new file mode 100644 index 0000000..87cf1a9 --- /dev/null +++ b/igs.bst @@ -0,0 +1,1486 @@ +%% +%% This is file `igs.bst', +%% generated with the docstrip utility. +%% v4.00 3-sept-2015 +%% +%% The original source files were: +%% +%% merlin.mbs (with options: `ay,cn,pres,pres-it,seq-lab,nm-rvx,jnrlst,dt-beg,yr-par,yrp-x,note-yr,vol-bf,volp-com,num-xser,isbn,issn,doi,edpar,blk-tit,fin-bare,ppx,ed,xedn,jabr,and-xcom,etal-xc,nfss,') +%% ---------------------------------------- +%% changes made from generated .bst are highlighted with *** aliwoollatt *** +%% +%% Copyright 1994-2011 Patrick W Daly + % =============================================================== + % IMPORTANT NOTICE: + % This bibliographic style (bst) file has been generated from one or + % more master bibliographic style (mbs) files, listed above. + % + % This generated file can be redistributed and/or modified under the terms + % of the LaTeX Project Public License Distributed from CTAN + % archives in directory macros/latex/base/lppl.txt; either + % version 1 of the License, or any later version. + % =============================================================== + % Name and version information of the main mbs file: + % \ProvidesFile{merlin.mbs}[2011/11/18 4.33 (PWD, AO, DPC)] + % For use with BibTeX version 0.99a or later + %------------------------------------------------------------------- + % This bibliography style file is intended for texts in ENGLISH + % This is an author-year citation style bibliography. As such, it is + % non-standard LaTeX, and requires a special package file to function properly. + % Such a package is natbib.sty by Patrick W. Daly + % or: authordate1-4.sty + % The form of the bibitem entries is + % \bibitem[\protect\citename{Jones et al.}1990]{key}... + %--------------------------------------------------------------------- + +ENTRY + { address + author + booktitle + chapter + doi + edition + editor + eid + howpublished + institution + isbn + issn + journal + key + month + note + number + organization + pages + publisher + school + series + title + type + volume + year + } + {} + { label extra.label sort.label short.list } +INTEGERS { output.state before.all mid.sentence after.sentence after.block } +FUNCTION {init.state.consts} +{ #0 'before.all := + #1 'mid.sentence := + #2 'after.sentence := + #3 'after.block := +} +STRINGS { s t} +FUNCTION {output.nonnull} +{ 's := + output.state mid.sentence = + { ", " * write$ } + { output.state after.block = + { add.period$ write$ + newline$ + "\newblock " write$ + } + { output.state before.all = + 'write$ + { add.period$ " " * write$ } + if$ + } + if$ + mid.sentence 'output.state := + } + if$ + s +} +FUNCTION {output} +{ duplicate$ empty$ + 'pop$ + 'output.nonnull + if$ +} +FUNCTION {output.check} +{ 't := + duplicate$ empty$ + { pop$ "empty " t * " in " * cite$ * warning$ } + 'output.nonnull + if$ +} +FUNCTION {fin.entry} +{ duplicate$ empty$ + 'pop$ + 'write$ + if$ + newline$ +} + +FUNCTION {new.block} +{ output.state before.all = + 'skip$ + { after.block 'output.state := } + if$ +} +FUNCTION {new.sentence} +{ output.state after.block = + 'skip$ + { output.state before.all = + 'skip$ + { after.sentence 'output.state := } + if$ + } + if$ +} +FUNCTION {add.blank} +{ " " * before.all 'output.state := +} + +FUNCTION {date.block} +{ + add.blank +} + +FUNCTION {not} +{ { #0 } + { #1 } + if$ +} +FUNCTION {and} +{ 'skip$ + { pop$ #0 } + if$ +} +FUNCTION {or} +{ { pop$ #1 } + 'skip$ + if$ +} +STRINGS {z} + +FUNCTION {remove.dots} +{ 'z := + "" + { z empty$ not } + { z #1 #2 substring$ + duplicate$ "\." = + { z #3 global.max$ substring$ 'z := * } + { pop$ + z #1 #1 substring$ + z #2 global.max$ substring$ 'z := + duplicate$ "." = 'pop$ + { * } + if$ + } + if$ + } + while$ +} +FUNCTION {new.block.checkb} +{ empty$ + swap$ empty$ + and + 'skip$ + 'new.block + if$ +} +FUNCTION {field.or.null} +{ duplicate$ empty$ + { pop$ "" } + 'skip$ + if$ +} +FUNCTION {emphasize} +{ duplicate$ empty$ + { pop$ "" } + { "\emph{" swap$ * "}" * } + if$ +} +FUNCTION {bolden} +{ duplicate$ empty$ + { pop$ "" } + { "\textbf{" swap$ * "}" * } + if$ +} +FUNCTION {tie.or.space.prefix} +{ duplicate$ text.length$ #3 < + { "~" } + { " " } + if$ + swap$ +} + +FUNCTION {capitalize} +{ "u" change.case$ "t" change.case$ } + +FUNCTION {space.word} +{ " " swap$ * " " * } + % Here are the language-specific definitions for explicit words. + % Each function has a name bbl.xxx where xxx is the English word. + % The language selected here is ENGLISH +FUNCTION {bbl.and} +{ "and"} + +%% *** aliwoollatt *** `et~al.' changed to `and others' +FUNCTION {bbl.etal} +{ "and others" } + +FUNCTION {bbl.editors} +{ "eds." } + +FUNCTION {bbl.editor} +{ "ed." } + +FUNCTION {bbl.edby} +{ "edited by" } + +FUNCTION {bbl.edition} +{ "edition" } + +FUNCTION {bbl.volume} +{ "volume" } + +FUNCTION {bbl.of} +{ "of" } + +FUNCTION {bbl.number} +{ "number" } + +FUNCTION {bbl.nr} +{ "no." } + +FUNCTION {bbl.in} +{ "in" } + +FUNCTION {bbl.pages} +{ "" } + +FUNCTION {bbl.page} +{ "" } + +FUNCTION {bbl.chapter} +{ "chapter" } + +FUNCTION {bbl.techrep} +{ "Technical Report" } + +FUNCTION {bbl.mthesis} +{ "Master's thesis" } + +FUNCTION {bbl.phdthesis} +{ "Ph.D. thesis" } + +MACRO {jan} {"January"} + +MACRO {feb} {"February"} + +MACRO {mar} {"March"} + +MACRO {apr} {"April"} + +MACRO {may} {"May"} + +MACRO {jun} {"June"} + +MACRO {jul} {"July"} + +MACRO {aug} {"August"} + +MACRO {sep} {"September"} + +MACRO {oct} {"October"} + +MACRO {nov} {"November"} + +MACRO {dec} {"December"} + +MACRO {acmcs} {"ACM Comput. Surv."} + +MACRO {acta} {"Acta Inf."} + +MACRO {cacm} {"Commun. ACM"} + +MACRO {ibmjrd} {"IBM J. Res. Dev."} + +MACRO {ibmsj} {"IBM Syst.~J."} + +MACRO {ieeese} {"IEEE Trans. Software Eng."} + +MACRO {ieeetc} {"IEEE Trans. Comput."} + +MACRO {ieeetcad} + {"IEEE Trans. Comput. Aid. Des."} + +MACRO {ipl} {"Inf. Process. Lett."} + +MACRO {jacm} {"J.~ACM"} + +MACRO {jcss} {"J.~Comput. Syst. Sci."} + +MACRO {scp} {"Sci. Comput. Program."} + +MACRO {sicomp} {"SIAM J. Comput."} + +MACRO {tocs} {"ACM Trans. Comput. Syst."} + +MACRO {tods} {"ACM Trans. Database Syst."} + +MACRO {tog} {"ACM Trans. Graphic."} + +MACRO {toms} {"ACM Trans. Math. Software"} + +MACRO {toois} {"ACM Trans. Office Inf. Syst."} + +MACRO {toplas} {"ACM Trans. Progr. Lang. Syst."} + +MACRO {tcs} {"Theor. Comput. Sci."} + +FUNCTION {bibinfo.check} +{ swap$ + duplicate$ missing$ + { + pop$ pop$ + "" + } + { duplicate$ empty$ + { + swap$ pop$ + } + { swap$ + pop$ + } + if$ + } + if$ +} +FUNCTION {bibinfo.warn} +{ swap$ + duplicate$ missing$ + { + swap$ "missing " swap$ * " in " * cite$ * warning$ pop$ + "" + } + { duplicate$ empty$ + { + swap$ "empty " swap$ * " in " * cite$ * warning$ + } + { swap$ + pop$ + } + if$ + } + if$ +} +INTEGERS { nameptr namesleft numnames } + +FUNCTION {check.speaker} +{ key empty$ 'skip$ + { key nameptr int.to.str$ = + { + emphasize + } + 'skip$ + if$ + } + if$ +} + + +STRINGS { bibinfo} + +FUNCTION {format.names} +{ 'bibinfo := + duplicate$ empty$ 'skip$ { + 's := + "" 't := + #1 'nameptr := + s num.names$ 'numnames := + numnames 'namesleft := + { namesleft #0 > } + { s nameptr + "{vv~}{ll}{ f{}}{ jj}" + format.name$ + remove.dots + bibinfo bibinfo.check + type$ "presentation" = + { check.speaker } + 'skip$ + if$ + 't := + nameptr #1 > + { + namesleft #1 > + { ", " * t * } + { + s nameptr "{ll}" format.name$ duplicate$ "others" = + { 't := } + { pop$ } + if$ + t "others" = + { + " " * bbl.etal * + } + { + bbl.and + space.word * t * + } + if$ + } + if$ + } + 't + if$ + nameptr #1 + 'nameptr := + namesleft #1 - 'namesleft := + } + while$ + } if$ +} +FUNCTION {format.names.ed} +{ + 'bibinfo := + duplicate$ empty$ 'skip$ { + 's := + "" 't := + #1 'nameptr := + s num.names$ 'numnames := + numnames 'namesleft := + { namesleft #0 > } + { s nameptr + "{f{}~}{vv~}{ll}{ jj}" + format.name$ + remove.dots + bibinfo bibinfo.check + 't := + nameptr #1 > + { + namesleft #1 > + { ", " * t * } + { + s nameptr "{ll}" format.name$ duplicate$ "others" = + { 't := } + { pop$ } + if$ + t "others" = + { + + " " * bbl.etal * + } + { + bbl.and + space.word * t * + } + if$ + } + if$ + } + 't + if$ + nameptr #1 + 'nameptr := + namesleft #1 - 'namesleft := + } + while$ + } if$ +} +FUNCTION {format.key} +{ empty$ + { key field.or.null } + { "" } + if$ +} + +FUNCTION {format.authors} +{ author "author" format.names +} +FUNCTION {get.bbl.editor} +{ editor num.names$ #1 > 'bbl.editors 'bbl.editor if$ } + +FUNCTION {format.editors} +{ editor "editor" format.names duplicate$ empty$ 'skip$ + { + " " * + get.bbl.editor + "(" swap$ * ")" * + * + } + if$ +} +FUNCTION {format.isbn} +{ isbn "isbn" bibinfo.check + duplicate$ empty$ 'skip$ + { + "ISBN " swap$ * + } + if$ +} + +FUNCTION {format.issn} +{ issn "issn" bibinfo.check + duplicate$ empty$ 'skip$ + { + "ISSN " swap$ * + } + if$ +} + +%% *** aliwoollatt *** no comma before, and doi enclosed in braces +FUNCTION {format.doi} +{ doi empty$ + { "" } + { + add.blank "(\doi {" doi * "})" * + } + if$ +} +FUNCTION {format.note} +{ + note empty$ + { "" } + { note #1 #1 substring$ + duplicate$ "{" = + 'skip$ + { output.state mid.sentence = + { "l" } + { "u" } + if$ + change.case$ + } + if$ + note #2 global.max$ substring$ * "note" bibinfo.check + } + if$ +} + +FUNCTION {format.title} +{ title + duplicate$ empty$ 'skip$ + { "t" change.case$ } + if$ + "title" bibinfo.check +} +FUNCTION {output.bibitem} +{ newline$ + "\bibitem[" write$ + "\protect\citename{" write$ + label write$ + ", }" year duplicate$ empty$ + { pop$ "????" } + 'skip$ + if$ + * extra.label * "]{" * write$ + cite$ write$ + "}" write$ + newline$ + "" + before.all 'output.state := +} + +FUNCTION {n.dashify} +{ + 't := + "" + { t empty$ not } + { t #1 #1 substring$ "-" = + { t #1 #2 substring$ "--" = not + { "--" * + t #2 global.max$ substring$ 't := + } + { { t #1 #1 substring$ "-" = } + { "-" * + t #2 global.max$ substring$ 't := + } + while$ + } + if$ + } + { t #1 #1 substring$ * + t #2 global.max$ substring$ 't := + } + if$ + } + while$ +} + +FUNCTION {word.in} +{ bbl.in capitalize + " " * } + +FUNCTION {format.date} +{ year "year" bibinfo.check duplicate$ empty$ + { + "empty year in " cite$ * "; set to ????" * warning$ + pop$ "????" + } + 'skip$ + if$ + extra.label * + before.all 'output.state := + " (" swap$ * ")" * +} +FUNCTION {format.btitle} +{ title "title" bibinfo.check + duplicate$ empty$ 'skip$ + { + emphasize + } + if$ +} +FUNCTION {either.or.check} +{ empty$ + 'pop$ + { "can't use both " swap$ * " fields in " * cite$ * warning$ } + if$ +} +FUNCTION {format.bvolume} +{ volume empty$ + { "" } + { bbl.volume volume tie.or.space.prefix + "volume" bibinfo.check * * + series "series" bibinfo.check + duplicate$ empty$ 'pop$ + { swap$ bbl.of space.word * swap$ + emphasize * } + if$ + "volume and number" number either.or.check + } + if$ +} +FUNCTION {format.number.series} +{ volume empty$ + { number empty$ + { series field.or.null } + { series empty$ + { number "number" bibinfo.check } + { output.state mid.sentence = + { bbl.number } + { bbl.number capitalize } + if$ + number tie.or.space.prefix "number" bibinfo.check * * + bbl.in space.word * + series "series" bibinfo.check * + } + if$ + } + if$ + } + { "" } + if$ +} + +FUNCTION {format.edition} +{ edition duplicate$ empty$ 'skip$ + { + output.state mid.sentence = + { "l" } + { "t" } + if$ change.case$ + "edition" bibinfo.check + " " * bbl.edition * + } + if$ +} +INTEGERS { multiresult } +FUNCTION {multi.page.check} +{ 't := + #0 'multiresult := + { multiresult not + t empty$ not + and + } + { t #1 #1 substring$ + duplicate$ "-" = + swap$ duplicate$ "," = + swap$ "+" = + or or + { #1 'multiresult := } + { t #2 global.max$ substring$ 't := } + if$ + } + while$ + multiresult +} +FUNCTION {format.pages} +{ pages duplicate$ empty$ 'skip$ + { duplicate$ multi.page.check + { + n.dashify + } + { + } + if$ + "pages" bibinfo.check + } + if$ +} +FUNCTION {format.journal.pages} +{ pages duplicate$ empty$ 'pop$ + { swap$ duplicate$ empty$ + { pop$ pop$ format.pages } + { + ", " * + swap$ + n.dashify + "pages" bibinfo.check + * + } + if$ + } + if$ +} +FUNCTION {format.journal.eid} +{ eid "eid" bibinfo.check + duplicate$ empty$ 'pop$ + { swap$ duplicate$ empty$ 'skip$ + { + ", " * + } + if$ + swap$ * + } + if$ +} +FUNCTION {format.vol.num.pages} +{ volume field.or.null + duplicate$ empty$ 'skip$ + { + "volume" bibinfo.check + } + if$ + bolden + number "number" bibinfo.check duplicate$ empty$ 'skip$ + { + swap$ duplicate$ empty$ + { "there's a number but no volume in " cite$ * warning$ } + 'skip$ + if$ + swap$ + "(" swap$ * ")" * + } + if$ * + eid empty$ + { format.journal.pages } + { format.journal.eid } + if$ +} + +FUNCTION {format.chapter.pages} +{ chapter empty$ + 'format.pages + { type empty$ + { bbl.chapter } + { type "l" change.case$ + "type" bibinfo.check + } + if$ + chapter tie.or.space.prefix + "chapter" bibinfo.check + * * + pages empty$ + 'skip$ + { ", " * format.pages * } + if$ + } + if$ +} + +FUNCTION {format.booktitle} +{ + booktitle "booktitle" bibinfo.check + emphasize +} +FUNCTION {format.in.ed.booktitle} +{ format.booktitle duplicate$ empty$ 'skip$ + { + editor "editor" format.names.ed duplicate$ empty$ 'pop$ + { + " " * + get.bbl.editor + "(" swap$ * "), " * + * swap$ + * } + if$ + word.in swap$ * + } + if$ +} +FUNCTION {format.thesis.type} +{ type duplicate$ empty$ + 'pop$ + { swap$ pop$ + "t" change.case$ "type" bibinfo.check + } + if$ +} +FUNCTION {format.tr.number} +{ number "number" bibinfo.check + type duplicate$ empty$ + { pop$ bbl.techrep } + 'skip$ + if$ + "type" bibinfo.check + swap$ duplicate$ empty$ + { pop$ "t" change.case$ } + { tie.or.space.prefix * * } + if$ +} +FUNCTION {format.article.crossref} +{ + word.in + " \cite{" * crossref * "}" * +} +FUNCTION {format.book.crossref} +{ volume duplicate$ empty$ + { "empty volume in " cite$ * "'s crossref of " * crossref * warning$ + pop$ word.in + } + { bbl.volume + capitalize + swap$ tie.or.space.prefix "volume" bibinfo.check * * bbl.of space.word * + } + if$ + " \cite{" * crossref * "}" * +} +FUNCTION {format.incoll.inproc.crossref} +{ + word.in + " \cite{" * crossref * "}" * +} +FUNCTION {format.org.or.pub} +{ 't := + "" + address empty$ t empty$ and + 'skip$ + { + t empty$ + { address "address" bibinfo.check * + } + { t * + address empty$ + 'skip$ + { ", " * address "address" bibinfo.check * } + if$ + } + if$ + } + if$ +} +FUNCTION {format.publisher.address} +{ publisher "publisher" bibinfo.warn format.org.or.pub +} + +FUNCTION {format.organization.address} +{ organization "organization" bibinfo.check format.org.or.pub +} + +FUNCTION {article} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + date.block + format.title "title" output.check + new.sentence + crossref missing$ + { + journal + "journal" bibinfo.check + emphasize + "journal" output.check + format.vol.num.pages output + } + { format.article.crossref output.nonnull + format.pages output + } + if$ + format.issn output + format.doi output + format.note output + fin.entry +} +FUNCTION {book} +{ output.bibitem + author empty$ + { format.editors "author and editor" output.check + editor format.key output + } + { format.authors output.nonnull + crossref missing$ + { "author and editor" editor either.or.check } + 'skip$ + if$ + } + if$ + format.date "year" output.check + date.block + format.btitle "title" output.check + crossref missing$ + { format.bvolume output + new.sentence + format.number.series output + format.publisher.address output + } + { + new.sentence + format.book.crossref output.nonnull + } + if$ + format.edition output + format.isbn output + format.doi output + format.note output + fin.entry +} +FUNCTION {booklet} +{ output.bibitem + format.authors output + author format.key output + format.date "year" output.check + date.block + format.title "title" output.check + new.sentence + howpublished "howpublished" bibinfo.check output + address "address" bibinfo.check output + format.isbn output + format.doi output + format.note output + fin.entry +} + +FUNCTION {inbook} +{ output.bibitem + author empty$ + { format.editors "author and editor" output.check + editor format.key output + } + { format.authors output.nonnull + crossref missing$ + { "author and editor" editor either.or.check } + 'skip$ + if$ + } + if$ + format.date "year" output.check + date.block + format.btitle "title" output.check + crossref missing$ + { + format.bvolume output + format.chapter.pages "chapter and pages" output.check + new.sentence + format.number.series output + format.publisher.address output + } + { + format.chapter.pages "chapter and pages" output.check + new.sentence + format.book.crossref output.nonnull + } + if$ + format.edition output + crossref missing$ + { format.isbn output } + 'skip$ + if$ + format.doi output + format.note output + fin.entry +} + +FUNCTION {incollection} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + date.block + format.title "title" output.check + new.sentence + crossref missing$ + { format.in.ed.booktitle "booktitle" output.check + format.bvolume output + format.number.series output + format.chapter.pages output + format.publisher.address output + format.edition output + format.isbn output + } + { format.incoll.inproc.crossref output.nonnull + format.chapter.pages output + } + if$ + format.doi output + format.note output + fin.entry +} +FUNCTION {inproceedings} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + date.block + format.title "title" output.check + new.sentence + crossref missing$ + { format.in.ed.booktitle "booktitle" output.check + format.bvolume output + format.number.series output + format.pages output + publisher empty$ + { format.organization.address output } + { organization "organization" bibinfo.check output + format.publisher.address output + } + if$ + format.isbn output + format.issn output + } + { format.incoll.inproc.crossref output.nonnull + format.pages output + } + if$ + format.doi output + format.note output + fin.entry +} +FUNCTION {conference} { inproceedings } +FUNCTION {manual} +{ output.bibitem + format.authors output + author format.key output + format.date "year" output.check + date.block + format.btitle "title" output.check + new.sentence + organization "organization" bibinfo.check output + address "address" bibinfo.check output + format.edition output + format.doi output + format.note output + fin.entry +} + +FUNCTION {mastersthesis} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + date.block + format.btitle + "title" output.check + new.sentence + bbl.mthesis format.thesis.type output.nonnull + school "school" bibinfo.warn output + address "address" bibinfo.check output + format.doi output + format.note output + fin.entry +} + +FUNCTION {misc} +{ output.bibitem + format.authors output + author format.key output + format.date "year" output.check + date.block + format.title output + new.sentence + howpublished "howpublished" bibinfo.check output + format.doi output + format.note output + fin.entry +} +FUNCTION {phdthesis} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + date.block + format.btitle + "title" output.check + new.sentence + bbl.phdthesis format.thesis.type output.nonnull + school "school" bibinfo.warn output + address "address" bibinfo.check output + format.doi output + format.note output + fin.entry +} + +FUNCTION {presentation} +{ output.bibitem + format.authors output + author format.key output + format.title output + new.sentence + format.organization.address "organization and address" output.check + month "month" output.check + year "year" output.check + format.note output + new.sentence + type missing$ 'skip$ + {"(" type capitalize * ")" * output} + if$ + fin.entry +} + +FUNCTION {proceedings} +{ output.bibitem + format.editors output + editor format.key output + format.date "year" output.check + date.block + format.btitle "title" output.check + format.bvolume output + format.number.series output + publisher empty$ + { format.organization.address output } + { organization "organization" bibinfo.check output + format.publisher.address output + } + if$ + format.isbn output + format.issn output + format.doi output + format.note output + fin.entry +} + +FUNCTION {techreport} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + date.block + format.title + "title" output.check + new.sentence + format.tr.number output.nonnull + institution "institution" bibinfo.warn output + address "address" bibinfo.check output + format.doi output + format.note output + fin.entry +} + +FUNCTION {unpublished} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + date.block + format.title "title" output.check + format.doi output + format.note "note" output.check + fin.entry +} + +FUNCTION {default.type} { misc } +READ +FUNCTION {sortify} +{ purify$ + "l" change.case$ +} +INTEGERS { len } +FUNCTION {chop.word} +{ 's := + 'len := + s #1 len substring$ = + { s len #1 + global.max$ substring$ } + 's + if$ +} +FUNCTION {format.lab.names} +{ 's := + "" 't := + s #1 "{vv~}{ll}" format.name$ + s num.names$ duplicate$ + #2 > + { pop$ + " " * bbl.etal * + } + { #2 < + 'skip$ + { s #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" = + { + " " * bbl.etal * + } + { bbl.and space.word * s #2 "{vv~}{ll}" format.name$ + * } + if$ + } + if$ + } + if$ +} + +FUNCTION {author.key.label} +{ author empty$ + { key empty$ + { cite$ #1 #3 substring$ } + 'key + if$ + } + { author format.lab.names } + if$ +} + +FUNCTION {author.editor.key.label} +{ author empty$ + { editor empty$ + { key empty$ + { cite$ #1 #3 substring$ } + 'key + if$ + } + { editor format.lab.names } + if$ + } + { author format.lab.names } + if$ +} + +FUNCTION {editor.key.label} +{ editor empty$ + { key empty$ + { cite$ #1 #3 substring$ } + 'key + if$ + } + { editor format.lab.names } + if$ +} + +FUNCTION {calc.short.authors} +{ type$ "book" = + type$ "inbook" = + or + 'author.editor.key.label + { type$ "proceedings" = + 'editor.key.label + 'author.key.label + if$ + } + if$ + 'short.list := +} + +FUNCTION {calc.label} +{ calc.short.authors + short.list + ", " + * + year duplicate$ empty$ + { pop$ "????" } + 'skip$ + if$ + * + 'label := +} + +FUNCTION {calc.short.label} +{ calc.short.authors short.list + 'label := +} +FUNCTION {sort.format.names} +{ 's := + #1 'nameptr := + "" + s num.names$ 'numnames := + numnames 'namesleft := + { namesleft #0 > } + { s nameptr + "{vv{ } }{ll{ }}{ f{ }}{ jj{ }}" + format.name$ 't := + nameptr #1 > + { + " " * + namesleft #1 = t "others" = and + { "zzzzz" 't := } + 'skip$ + if$ + numnames #2 > nameptr #2 = and + { "zz" * year field.or.null * " " * + } + 'skip$ + if$ + t sortify * + } + { t sortify * } + if$ + nameptr #1 + 'nameptr := + namesleft #1 - 'namesleft := + } + while$ +} + +FUNCTION {sort.format.title} +{ 't := + "A " #2 + "An " #3 + "The " #4 t chop.word + chop.word + chop.word + sortify + #1 global.max$ substring$ +} +FUNCTION {author.sort} +{ author empty$ + { key empty$ + { "to sort, need author or key in " cite$ * warning$ + "" + } + { key sortify } + if$ + } + { author sort.format.names } + if$ +} +FUNCTION {author.editor.sort} +{ author empty$ + { editor empty$ + { key empty$ + { "to sort, need author, editor, or key in " cite$ * warning$ + "" + } + { key sortify } + if$ + } + { editor sort.format.names } + if$ + } + { author sort.format.names } + if$ +} +FUNCTION {editor.sort} +{ editor empty$ + { key empty$ + { "to sort, need editor or key in " cite$ * warning$ + "" + } + { key sortify } + if$ + } + { editor sort.format.names } + if$ +} +FUNCTION {presort} +{ calc.label + label sortify + " " + * + type$ "book" = + type$ "inbook" = + or + 'author.editor.sort + { type$ "proceedings" = + 'editor.sort + 'author.sort + if$ + } + if$ + #1 entry.max$ substring$ + 'sort.label := + sort.label + * + " " + * + title field.or.null + sort.format.title + * + #1 entry.max$ substring$ + 'sort.key$ := +} + +ITERATE {presort} +SORT +STRINGS { last.label next.extra } +INTEGERS { last.extra.num last.extra.num.extended last.extra.num.blank number.label } +FUNCTION {initialize.extra.label.stuff} +{ #0 int.to.chr$ 'last.label := + "" 'next.extra := + #0 'last.extra.num := + "a" chr.to.int$ #1 - 'last.extra.num.blank := + last.extra.num.blank 'last.extra.num.extended := + #0 'number.label := +} +FUNCTION {forward.pass} +{ last.label label = + { last.extra.num #1 + 'last.extra.num := + last.extra.num "z" chr.to.int$ > + { "a" chr.to.int$ 'last.extra.num := + last.extra.num.extended #1 + 'last.extra.num.extended := + } + 'skip$ + if$ + last.extra.num.extended last.extra.num.blank > + { last.extra.num.extended int.to.chr$ + last.extra.num int.to.chr$ + * 'extra.label := } + { last.extra.num int.to.chr$ 'extra.label := } + if$ + } + { "a" chr.to.int$ 'last.extra.num := + "" 'extra.label := + label 'last.label := + } + if$ + number.label #1 + 'number.label := +} +FUNCTION {reverse.pass} +{ next.extra "b" = + { "a" 'extra.label := } + 'skip$ + if$ + extra.label 'next.extra := + extra.label + duplicate$ empty$ + 'skip$ + { "{\natexlab{" swap$ * "}}" * } + if$ + 'extra.label := +} +EXECUTE {initialize.extra.label.stuff} +ITERATE {forward.pass} +REVERSE {reverse.pass} +FUNCTION {bib.sort.order} +{ sort.label + " " + * + year field.or.null sortify + * + " " + * + title field.or.null + sort.format.title + * + #1 entry.max$ substring$ + 'sort.key$ := + calc.short.label +} +ITERATE {bib.sort.order} +SORT +FUNCTION {begin.bib} +{ preamble$ empty$ + 'skip$ + { preamble$ write$ newline$ } + if$ + "\begin{thebibliography}{" number.label int.to.str$ * "}" * + write$ newline$ + "\providecommand{\natexlab}[1]{#1}" + write$ newline$ + "\expandafter\ifx\csname urlstyle\endcsname\relax" + write$ newline$ +%% *** aliwoollatt *** space added after doi: (x2), and \discretionary removed (x2) +% " \providecommand{\doi}[1]{doi: \discretionary{}{}{}#1}\else" + " \providecommand{\doi}[1]{doi: #1}\else" + write$ newline$ +% " \providecommand{\doi}{doi: \discretionary{}{}{}\begingroup \urlstyle{rm}\Url}\fi" + " \providecommand{\doi}{doi: \begingroup \urlstyle{rm}\Url}\fi" + write$ newline$ +} +EXECUTE {begin.bib} +EXECUTE {init.state.consts} +ITERATE {call.type$} +FUNCTION {end.bib} +{ newline$ + "\end{thebibliography}" write$ newline$ +} +EXECUTE {end.bib} +%% End of customized bst file +%% +%% End of file `igsrevised.bst'. diff --git a/igs.cls b/igs.cls new file mode 100644 index 0000000..e82f92a --- /dev/null +++ b/igs.cls @@ -0,0 +1,169 @@ +\NeedsTeXFormat{LaTeX2e}[1995/12/01] +\ProvidesClass{igs} + +\newif\if@reviewmode\@reviewmodefalse +\newif\if@aog\@aogfalse +\newif\if@jog\@jogfalse +\DeclareOption{review}{\@reviewmodetrue} +\DeclareOption{jog}{\@jogtrue} +\DeclareOption{aog}{\@aogtrue} + +\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}} +\ProcessOptions\relax + +\if@reviewmode + \LoadClass[11pt]{article} +\else + \LoadClass[10pt,twoside]{article} +\fi + +\RequirePackage[T1]{fontenc} + +\RequirePackage{lineno} +\RequirePackage{setspace} +\RequirePackage{amsmath} +\RequirePackage{xpatch} + +\RequirePackage[left=13.6mm,textwidth=178mm,top=20mm,textheight=61em,columnsep=6mm,marginparwidth=2.2pc,marginparsep=0.5pc,headsep=1.5em,headheight=14pt,letterpaper]{geometry} +\RequirePackage{footmisc} +\RequirePackage{caption} +\DeclareCaptionJustification{double}{\doublespacing} +\DeclareCaptionLabelSeparator{dotquad}{.\quad} +\RequirePackage[explicit]{titlesec} +\RequirePackage[style]{abstract} +\RequirePackage{fancyhdr} + +\if@reviewmode + \RequirePackage{lmodern} + \RequirePackage{amssymb,amsbsy} + \linenumbers + \doublespacing + \let\oldmarginpar\marginpar + \renewcommand{\marginpar}[1]{\oldmarginpar{\itshape\footnotesize #1}} + \renewcommand{\footnotelayout}{\footnotesize\doublespacing} + \patchcmd{\thanks}{#1}{\protect\doublespacing\footnotesize#1}{}{} + \xapptocmd{\table}{\doublespacing\small}{}{} + \xapptocmd{\figure}{\doublespacing}{}{} + \AtBeginEnvironment{tabular}{\small\doublespacing}{}{} +\else + \RequirePackage{libertine} + \renewcommand*\familydefault{\sfdefault} + \renewcommand{\ttdefault}{lmtt} + \RequirePackage{newtxsf} + \twocolumn + \renewcommand{\marginpar}[1]{} +\fi + +\RequirePackage{upgreek} + +\RequirePackage{environ} +\NewEnviron{frontmatter}{% + \if@reviewmode\BODY + \else\twocolumn[\BODY]\saythanks\fi +} + +\renewcommand{\title}[2][]{% + \def\@shorttitle{#1} + \def\@title{#2} +} + +\renewcommand{\author}[2][]{% + \def\@shortauthor{#1} + \def\@author{#2} +} + +\newcommand{\jourvolume}[1]{\def\@volume{#1}} +\newcommand{\jourissue}[1]{\def\@issueno{#1}} +\newcommand{\jourpubyear}[1]{\def\@pubyear{#1}} + +\def\@shortauthor{} +\def\@shorttitle{} +\def\@journal{} +\def\@volume{00} +\def\@issueno{0} +\def\@pubyear{0000} + + +\newcommand{\email}[1]{<#1>} + +\newcommand{\affiliation}[1]{\def\@affil{#1}} + +\renewcommand{\@maketitle}{% + \null\vspace*{-8pt}% + \begingroup\centering + {\bfseries\LARGE\@title\par} + \vskip12pt plus 2pt minus 1pt + {\large\@author\par} + \vskip8pt plus 1pt + {\itshape\@affil\par} + \vspace{5pt plus 2pt minus 1pt} + \par + \endgroup% +} + +\renewcommand{\abstitlestyle}[1]{} +\setlength{\absleftindent}{14mm} +\setlength{\absrightindent}{14mm} +\setlength{\absparindent}{0pt} +\renewcommand{\abstracttextfont}{\noindent\bfseries ABSTRACT.\space} +\apptocmd{\abstract}{\ignorespaces}{}{} +\apptocmd{\endabstract}{\vskip30pt plus 10pt minus 2pt}{}{} + +\if@aog + \def\@journal{Annals of Glaciology \@volume (\@issueno) \@pubyear} +\fi +\if@jog + \def\@journal{Journal of Glaciology, Vol.\ \@volume, No.\ \@issueno, \@pubyear} +\fi + +\setcounter{secnumdepth}{0} +\titleformat{\section} + {\large\bfseries\raggedright} + {\thesection} + {0pt} + {\MakeUppercase{#1}} + +\titleformat{\subsection} + 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-\pagestyle{empty} - -\renewcommand{\familydefault}{\sfdefault} - -\begin{document} - -\selectcolormodel{cmyk} % Can be rbg or cmyk, cmyk is better for printing - -\begin{tikzpicture}[remember picture, overlay, shift={(5,-5)}] - - \begin{sankeydiagram} - %% \sankeyset{debug=true} - - \colorlet{water}[rgb]{cyan!75!blue!50!white} - \colorlet{ice}[rgb]{gray!20!gray!20!gray!20} - %% \colorlet{air}[rgb]{gray!1!gray!1!gray!1} - \colorlet{air}{yellow!50} - \colorlet{red}[rgb]{red!50!orange!75!white} - \colorlet{black}[rgb]{black!100!black!100!black!100} - \colorlet{gray}[rgb]{black!30!black!30!black!30} - - \sankeyset{ - %% comment for gray outline - %% draw/.style={ - %% draw=white, - %% line width=0pt,line cap=round,line join=round, - %% }, - start style=arrow,end style=arrow, - %% fill/.style={fill=yellow!10,line width=0pt,draw=yellow!10}, - ratio=1mm/60, - minimum radius=0mm, - water/.style={fill/.style={draw=water,line width=0pt,fill=water,},}, - ice/.style={fill/.style={draw=ice,line width=0pt,fill=ice,},}, - air/.style={fill/.style={draw=air,line width=0pt,fill=air,},}, - black/.style={fill/.style={draw=black,line width=0pt,fill=black,},}, - red/.style={fill/.style={fill=none, top color=red, bottom color=red},}, - ice-to-water/.style={fill/.style={fill=none, left color=ice, right color=water},}, - ice-to-air/.style={fill/.style={fill=none, left color=ice, right color=air},}, - ice-to-black/.style={fill/.style={fill=none, left color=ice, right color=black},}, - ice-to-air-vert/.style={fill/.style={fill=none, top color=ice, bottom color=air},}, - ice-to-water-vert/.style={fill/.style={fill=none, bottom color=ice, top color=water},}, - water-to-air-vert/.style={fill/.style={fill=none, right color=water, left color=air},}, - water-to-air/.style={fill/.style={fill=none, left color=water, right color=air},}, - air-to-ice/.style={fill/.style={fill=none, left color=air, right color=ice},}, - red-to-ice/.style={fill/.style={fill=none, left color=red, right color=ice},}, - water-to-ice/.style={fill/.style={fill=none, left color=water, right color=ice},}, - black-to-ice/.style={fill/.style={fill=none, bottom color=ice, top color=black},}, - in-black/.style={draw/.style={draw=gray,thick=3},}, - out-red/.style={draw/.style={draw=red,thick=3},}, - out-blue/.style={draw/.style={draw=water,thick=3},}, - debug label/.style={ - overlay, - draw, - font=\tiny, - text=debug color,text opacity=1, - inner sep=.1em, - fill=white,fill opacity=0.5, - rounded corners=.1em, - %% node contents={\name: \qty}, - node contents={\qty}, - %% node contents={\name}, - }, - } - - % storage of labels - \newcommand\LabSet[2]{% node name, label - \expandafter\edef\csname#1@Lab\endcsname{#2}} - \newcommand\Lab[1]{% node name - \csname#1@Lab\endcsname} - % storage of quantities - \newcommand\QSet[2]{% node name, quantity - \expandafter\edef\csname#1@Q\endcsname{\fpeval{#2}}} - \newcommand\Q[1]{% node name - \csname#1@Q\endcsname} - % all nodes with their name, label and quantity - \newcommand\qq[1]{\sankeygetnodeqty{#1}} - - \newcommand\labelleft[1]{ % valname - \node[font=\tiny, anchor=east] - at ([yshift=0mm,xshift=-3mm]#1.center) {\Lab{v#1}: \qq{#1}}; - } - \newcommand\labelright[2]{ % valname - \node[font=\tiny, anchor=west] - at ([yshift=0mm,xshift=3mm]#1.center) {\qq{#1}: \Lab{#2}}; - } - \newcommand\labelbold[2]{ % valname - \node[font=\tiny, anchor=west] - at ([yshift=0mm,xshift=3mm]#1.center) {\textbf{\qq{#1}: \Lab{#2}}}; - } - - \sankeyset{ - def data/.code args={#1/#2/#3}{% node name/label/values - \LabSet{#1}{#2} - \QSet{#1}{#3} - \typeout{#1: \Q{#1} Gt (\Lab{#1})} - }, - def data/.list={ - %% INSERT_CSV_HERE - %% COMPUTED - {vSMBin/SMB Inputs/\Q{vSF}+\Q{vRF}+\Q{vCD}+\Q{vDP}}, - {vINPUT/Inputs/\Q{vSMBin}+\Q{vFRONTADV}+\Q{vSHELFFREEZE}}, - {vSMBout/SMB Outputs/\Q{vSU}+\Q{vRU}+\Q{vEV}}, - {vDYN/Dynamics/\Q{vCALV}+\Q{vFRONTMELT}+\Q{vSHELFMELT}+\Q{vFRONTRET}+\Q{vGZRET}+\Q{vBMB}}, - {vOUTPUT/Outputs/\Q{vSMBout}+\Q{vDYN}}, - {vSMB/SMB/\Q{vSMBin}-\Q{vSMBout}}, - {vML/Mass loss/\Q{vOUTPUT}-\Q{vINPUT}}, - {vMG/Mass gain/\Q{vINPUT}-\Q{vOUTPUT}} - }, - } - - - \sankeyset{ice} % default color until otherwise specified - \newcommand\yoff{3mm} - - \sankeynode{name=SF, quantity=\Q{vSF}} - \sankeynode{name=DP, quantity=\Q{vDP}, at={[yshift=\yoff]SF.north}, anchor=right} - \sankeynode{name=CD, quantity=\Q{vCD}, at={[yshift=\yoff]DP.north}, anchor=right} - \sankeynode{name=RF, quantity=\Q{vRF}, at={[yshift=\yoff]CD.north}, anchor=right} - - \sankeystart{SF}; \labelleft{SF} - \sankeystart[air]{DP}; \labelleft{DP} - \sankeystart{CD}; \labelleft{CD} - \sankeystart[water]{RF}; \labelleft{RF} - - \sankeynode{name=SMBIN, quantity=\Q{vSF}+\Q{vDP}+\Q{vCD}+\Q{vRF}, - at={[xshift=15mm, yshift=0mm]SF.right}, anchor=right, - forked={\Q{vRF}/RFi, \Q{vCD}/CDi, \Q{vDP}/DPi, \Q{vSF}/SFi}} - - \sankeyoutin{SF}{SFi} - \sankeydubins[minimum radius=3mm,air-to-ice]{DP}{DPi} - \sankeydubins[minimum radius=3mm]{CD}{CDi} - \sankeydubins[minimum radius=3mm,water-to-ice]{RF}{RFi} - - \sankeynode{name=SHELFFREEZE, quantity=\Q{vSHELFFREEZE}, - at={[yshift=-\yoff]SF.south}, anchor=left} - - \sankeynode{name=f1, at={[xshift=30mm, yshift=\yoff]SHELFFREEZE.south}, anchor=right, - quantity=\qq{SMBIN}+\Q{vFRONTADV}+\Q{vSHELFFREEZE}+\Q{vML}+\Q{vRFZ}, - forked={\Q{vRFZ}/RFZi, \Q{vFRONTADV}/FG, \Q{vML}/MLi, - \qq{SMBIN}/SMBINi, \Q{vSHELFFREEZE}/SHELFFREEZEi}} - - \sankeyoutin{SMBIN}{SMBINi} - \sankeyadvance{f1}{15mm} - - \ifnum \numexpr\Q{vSHELFFREEZE} > 0 - \labelleft{SHELFFREEZE} - \sankeystart[water]{SHELFFREEZE} - \sankeydubins[water-to-ice]{SHELFFREEZE}{SHELFFREEZEi} - \fi - - \sankeyfork{f1}{\Q{vRFZ}/RFZo, \Q{vSU}/SU, \Q{vRU}+\Q{vEV}/RUEV, - \Q{vCALV}+\Q{vFRONTMELT}/DISCH, \Q{vSHELFMELT}/SHELFMELT, - \Q{vFRONTRET}/FRONTRET, \Q{vGZRET}/GZ, \Q{vBMB}/BMB} - - \sankeyturnleft{RFZo}{1} - \sankeydubins[minimum radius=5mm,ice-to-water-vert]{RFZo}{RFZi} - \node[font=\tiny, anchor=east] - at ([yshift=+1.5mm,xshift=1mm]RFZo.north) {\Lab{vRFZ}: \qq{RFZi}}; - - \sankeyadvance{DISCH}{10mm} - \sankeyfork{DISCH}{\Q{vCALV}/CALV, \Q{vFRONTMELT}/FRONTMELT} - - \sankeynode{name=SHELFMELTa,quantity=\qq{SHELFMELT}, at={[yshift=-\yoff, xshift=10mm]FRONTMELT.right}} - \sankeynode{name=FRONTRETa, quantity=\qq{FRONTRET}, at={[yshift=-\yoff]SHELFMELTa.right}} - \sankeyadvance[ice-to-water]{FRONTMELT}{10mm} - \sankeynode{name=CALVa, quantity=\qq{CALV}, at={[yshift=\yoff]FRONTMELT.left}, anchor=right} - - \sankeynode{name=GZa, quantity=\qq{GZ}, at={[yshift=-\yoff]FRONTRETa.right}, anchor=left} - \sankeynode{name=BMBa, quantity=\qq{BMB}, at={[yshift=-\yoff]GZa.right}, anchor=left} - - \sankeyoutin{CALV}{CALVa}; - \sankeyoutin[ice-to-water]{SHELFMELT}{SHELFMELTa} - \sankeyoutin[out-blue]{FRONTRET}{FRONTRETa}; - \sankeyoutin[ice-to-water]{BMB}{BMBa} - \sankeyoutin[ice-to-water]{GZ}{GZa} - - %% Finish dynamic outputs - \sankeyadvance{CALVa}{10mm}; \sankeyend{CALVa}; \labelright{CALVa}{vCALV} - \sankeyadvance[water]{FRONTMELT}{10mm}; \sankeyend[water]{FRONTMELT}; \labelright{FRONTMELT}{vFRONTMELT} - \sankeyadvance[water]{SHELFMELTa}{10mm}; \sankeyend[water]{SHELFMELTa}; \labelright{SHELFMELTa}{vSHELFMELT} - \sankeyadvance[out-blue]{FRONTRETa}{10mm}; \sankeyend[out-blue]{FRONTRETa}; \labelbold{FRONTRETa}{vFRONTRET} - \sankeyadvance[water]{GZa}{10mm}; \sankeyend[water]{GZa}; \labelbold{GZa}{vGZRET} - \sankeyadvance[water]{BMBa}{10mm}; \sankeyend[water]{BMBa}; \labelright{BMBa}{vBMB} - - - %% SMB outputs - \sankeynode{name=RUEVa, quantity=\qq{RUEV}, at={[yshift=\yoff, xshift=-10mm]CALVa.left}, anchor=right} - \sankeyoutin[ice-to-water]{RUEV}{RUEVa} - \sankeyfork{RUEVa}{\Q{vEV}/EV, \Q{vRU}/RU} - \sankeynode{name=EVa, quantity=\qq{EV}, - at={[yshift=\yoff,xshift=5mm]RUEVa.left}, anchor=left, angle=45} - \sankeyoutin[water-to-air]{EV}{EVa}; \sankeyadvance[air]{EVa}{1mm} - \sankeyend[air]{EVa}; - \node[font=\tiny, anchor=west] at ([yshift=0mm,xshift=\yoff]EVa.west) {\qq{EVa}: \Lab{vEV}}; - - \sankeyadvance[water]{RU}{10mm}; \sankeyend[water]{RU}; \labelright{RU}{vRU} - - \sankeynode{name=SUa, quantity=\qq{SU}, at={[xshift=-6mm]EVa.left}, anchor=right, angle=45} - \sankeydubins[minimum radius=6mm,ice-to-air]{SU}{SUa}; \sankeyend[air]{SUa} - \node[font=\tiny, anchor=west] at ([yshift=4mm,xshift=\yoff]SUa.west) {\qq{SUa}: \Lab{vSU}}; - - \sankeynode{name=ML, quantity=\Q{vML}, - at={[yshift=6mm]RF.north}, anchor=right, angle=-45} - \node[font=\tiny, anchor=east] - at ([xshift=-3mm,yshift=2mm]ML.west) {\textbf{Glacier drawdown: \qq{ML}}}; - - % frontal advance next to drawdown (mass loss) - \sankeynode{name=FRONTADVi, quantity=\Q{vFRONTADV}, - at={[yshift=0mm,xshift=6mm]ML.left}, anchor=right, angle=-45} - - \sankeystart[red]{ML} - \sankeyadvance[red]{ML}{5mm} - \sankeyoutin[red-to-ice]{ML}{MLi} - - \ifnum \numexpr\qq{FRONTADVi} > 0 - \sankeystart[in-black]{FRONTADVi} - \sankeyoutin[in-black]{FRONTADVi}{FG} - \node[font=\tiny, anchor=east] - at ([xshift=-3mm,yshift=3mm]FRONTADVi.west) {Frontal advance: \qq{FRONTADVi}}; - \fi - - %% % fancy labels - %% \sankeynode[debug]{name=Discharge, at={[xshift=-10mm]DISCH.north}, anchor=left, - %% quantity=\Q{vDISCH}} - %% \sankeynode[debug]{name=SMB Inputs, at={[xshift=3mm]SMBIN.north}, anchor=left, - %% quantity=\Q{vSMBin}} - %% \sankeynode[debug]{name=SMB Outputs, at={[xshift=0mm]RFZo.south}, anchor=left, - %% quantity=\Q{vSMBout}} - - \end{sankeydiagram} -\end{tikzpicture} -\end{document} diff --git a/tex/aq_sankey.tex b/tex/aq_sankey.tex deleted file mode 100644 index e17ff84..0000000 --- a/tex/aq_sankey.tex +++ /dev/null @@ -1,273 +0,0 @@ -\documentclass[11pt]{article} -\usepackage{sankey} -\usepackage{tikz} -\usepackage{pgf} -\pagestyle{empty} - -\renewcommand{\familydefault}{\sfdefault} - -\begin{document} -\begin{tikzpicture}[remember picture, overlay, shift={(5.5,-5.5)}] - - \begin{sankeydiagram} - %% \sankeyset{debug=true} - - \colorlet{water}[rgb]{cyan!75!blue!50!white} - \colorlet{ice}[rgb]{gray!20!gray!20!gray!20} - \colorlet{air}[rgb]{gray!1!gray!1!gray!1} - \colorlet{red}[rgb]{red!50!orange!75!white} - \colorlet{black}[rgb]{black!100!black!100!black!100} - - \sankeyset{ - every node/.style={angle=-90}, - start style=arrow,end style=arrow, - %% fill/.style={fill=yellow!10,line width=0pt,draw=yellow!10}, - ratio=1mm/50, - minimum radius=0mm, - water/.style={fill/.style={draw=water,line width=0pt,fill=water,},}, - ice/.style={fill/.style={draw=ice,line width=0pt,fill=ice,},}, - air/.style={fill/.style={draw=air,line width=0pt,fill=air,},}, - black/.style={fill/.style={draw=black,line width=0pt,fill=black,},}, - ice-to-water/.style={fill/.style={fill=none, top color=ice, bottom color=water},}, - ice-to-air/.style={fill/.style={fill=none, top color=ice, bottom color=air},}, - water-to-air/.style={fill/.style={fill=none, top color=water, bottom color=air},}, - air-to-ice/.style={fill/.style={fill=none, top color=air, bottom color=ice},}, - red/.style={fill/.style={fill=none, top color=red, bottom color=red},}, - red-to-ice/.style={fill/.style={fill=none, top color=red, bottom color=ice},}, - water-to-ice/.style={fill/.style={fill=none, top color=water, bottom color=ice},}, - ice-to-black/.style={fill/.style={fill=none, top color=ice, bottom color=black},}, - debug label/.style={ - overlay, - draw, - font=\ttfamily, - text=debug color,text opacity=1, - inner sep=.1em, - fill=white,fill opacity=0.5, - rounded corners=.1em, - node contents={\name (\qty)}, - }, - } - - % storage of labels - \newcommand\LabSet[2]{% node name, label - \expandafter\edef\csname#1@Lab\endcsname{#2}} - \newcommand\Lab[1]{% node name - \csname#1@Lab\endcsname} - % storage of quantities - \newcommand\QSet[2]{% node name, quantity - \expandafter\edef\csname#1@Q\endcsname{\fpeval{#2}}} - \newcommand\Q[1]{% node name - \csname#1@Q\endcsname} - % all nodes with their name, label and quantity - %% \newcommand\Q[1]{\sankeygetnodeqty{#1}} - - \sankeyset{ - def data/.code args={#1/#2/#3}{% node name/label/values - \LabSet{#1}{#2} - \QSet{#1}{#3} - \typeout{#1: \Q{#1} Gt (\Lab{#1})} - }, - def data/.list={ - %% INSERT_CSV_HERE - {MELT/Surface melt/\Q{RU}+\Q{RFZ}}, - {ICE-GZRET2/ICE and some GZRET/\Q{ICE}+0.5*\Q{GZRET}}, - {SUB-GZRET2/SUB and some GZRET/\Q{SUB}+0.5*\Q{GZRET}}, - {GROSS/Gross\\accumulation/\Q{DP}+\Q{RFZ}+\Q{SF}+\Q{RF}+\Q{CD}}, - {MG/Mass gain/ - (\Q{SF}+\Q{RF}+\Q{CD}+\Q{DP})-(\Q{SU}+\Q{RU}+\Q{BM}+\Q{DYN})}, - {MGNet/Net mass gain/\Q{MG}-\Q{FRET}-\Q{GZRET}} - }, - } - - \sankeyset{ice} % color - - %% GROSS inputs - \sankeynode{ - name=GROSS, - quantity=\Q{GROSS}, %+\Q{IL}, - at={0,0}, - % inputs - forked={ - \Q{SF}/GROSS-from-SF, % snowfall - \Q{DP}/GROSS-from-DP, % deposition - \Q{CD}/GROSS-from-CD, % condensation - \Q{RF}/GROSS-from-RF, % rainfall - \Q{RFZ}/GROSS-from-RFZ % refrozen melt - }, - } - \sankeyadvance{GROSS}{2cm} - %% GROSS outputs - \sankeyfork{GROSS}{ - \Q{MGNet}/MGNet-from-GROSS, - \Q{SU}/GROSS-to-SU, - \Q{FRET}/FRET-from-GROSS, - \Q{GZRET}/GZRET-from-GROSS, - \Q{DYN}/GROSS-to-DYN, - \Q{BM}/GROSS-to-BM, - \Q{MELT}/GROSS-to-MELT} - - - \sankeynode{name=BM, quantity=\Q{BM}, at={[xshift=-3mm, yshift=-3cm]GROSS-to-BM.center}, anchor=center} - \sankeynode{name=MELT, quantity=\Q{MELT}, at={[xshift=-4mm, yshift=0mm]BM.center}, anchor=left} - \sankeynode{name=DYN, quantity=\Q{DYN}, at={[xshift=3mm, yshift=0mm]BM.center}, anchor=right} - \sankeynode{name=DYN-GZRET, quantity=\Q{DYN}+\Q{GZRET}, at={[xshift=3mm, yshift=-3cm]DYN.center}, anchor=center} - - %% BM Basal Melting - \sankeydubins[ice-to-water]{GROSS-to-BM}{BM} - \sankeyadvance[water]{BM}{3cm} - \sankeyadvance[water]{BM}{2.5cm} - \sankeyend[water]{BM} - - %% %% MELT - \sankeydubins[ice-to-water]{GROSS-to-MELT}{MELT} - \sankeyfork{MELT}{\Q{RU}/RU-from-MELT, \Q{RFZ}/RFZ-from-MELT} - \sankeyadvance[water]{RU-from-MELT}{3cm} - \sankeynode{name=RU-GROSS, quantity=\Q{RU}+\Q{RF-LIQ}, at={RU-from-MELT.left}, anchor=left, - forked={\Q{RU}/other, \Q{RF-LIQ}/RF-LIQ-to-RF-NET}} - \sankeyadvance[water]{RU-GROSS}{1.5cm} - \sankeyfork{RU-GROSS}{\Q{RU}+\Q{RF-LIQ}-\Q{EV}/RU-NET, \Q{EV}/EVAP} - \sankeyadvance[water]{RU-NET}{1cm} - \sankeyend[water]{RU-NET} - - %% RFZ - \sankeynode{ name=RFZ-waypoint0, quantity=\Q{RFZ}, angle=90, - at={[xshift=-20mm, yshift=0cm]RFZ-from-MELT.right}, anchor=right} - \sankeynode{ name=RFZ-waypoint1, quantity=\Q{RFZ}, angle=90, - at={[xshift=-20mm, yshift=0cm]GROSS-from-RFZ.right}, anchor=right} - \sankeydubins[water]{RFZ-from-MELT}{RFZ-waypoint0} - \sankeydubins[ice-to-water]{RFZ-waypoint0}{RFZ-waypoint1} - \sankeydubins[ice]{RFZ-waypoint1}{GROSS-from-RFZ} - - %% DYN - \sankeydubins{GROSS-to-DYN}{DYN} - \sankeyoutin{DYN}{DYN-GZRET} - \sankeynode{name=GZRET-DYN, quantity=\Q{GZRET}, at={DYN-GZRET.center}, anchor=center} - \sankeyadvance{DYN-GZRET}{1cm} - \sankeyfork{DYN-GZRET}{\Q{ICE-GZRET2}/ICE-from-DYN, \Q{SUB-GZRET2}/SUB} - \sankeyadvance[ice-to-water]{SUB}{1.5cm} - \sankeyend[water]{SUB} - \sankeynode{name=ICE, quantity=\Q{ICE-GZRET2}, at={[xshift=3mm, yshift=0mm]SUB.left}, anchor=right} - \sankeydubins{ICE-from-DYN}{ICE} - \sankeynode{name=ICE-FRET, quantity=\Q{ICE-GZRET2}+\Q{FRET}, at=ICE.right, anchor=right, forked={\Q{FRET}/FRET, \Q{ICE-GZRET2}/ICE-GZRET3}} - \sankeyend{ICE-FRET} - - \sankeydubins[minimum radius=1cm]{FRET-from-GROSS}{FRET} - - \sankeyadvance{GZRET-from-GROSS}{1cm} - \sankeydubins[minimum radius=1cm]{GZRET-from-GROSS}{GZRET-DYN} - - %% EV - \sankeynode{name=EV-out, quantity=\Q{EV}, at={[xshift=-10mm, yshift=-10mm]EVAP.center}, anchor=center, angle=180} - \sankeydubins[water-to-air]{EVAP}{EV-out} - \sankeyend[air]{EV-out} - - %% SU - \sankeynode{name=SU-out-tmp, quantity=\Q{SU}, - at={[xshift=5mm, yshift=-35mm]GROSS-to-SU.center}, anchor=center} - \sankeynode{name=SU-out, quantity=\Q{SU}, - at={[xshift=5mm, yshift=-5mm]SU-out-tmp.center}, anchor=center, angle=0} - \sankeydubins[ice-to-air]{GROSS-to-SU}{SU-out-tmp} - \sankeydubins[air,minimum radius=2mm]{SU-out-tmp}{SU-out} - \sankeyend[air]{SU-out} - - \sankeynode{name=MGNet-out-tmp, quantity=\Q{MGNet}, - at={[xshift=7mm, yshift=-15mm]GROSS-to-SU.center}, anchor=center} - \sankeynode{name=MGNet-out, quantity=\Q{MGNet}, - at={[xshift=5mm, yshift=-5mm]MGNet-out-tmp.center}, anchor=center, angle=0} - \sankeydubins[ice-to-black]{MGNet-from-GROSS}{MGNet-out-tmp} - \sankeydubins[black,minimum radius=2mm]{MGNet-out-tmp}{MGNet-out} - \sankeyend[black]{MGNet-out} - - - %%% INPUTS - - %% Snowfall SF - \sankeynode{name=SF, quantity=\Q{SF}, at={[xshift=0, yshift=3cm]GROSS-from-SF.center}, align=center} - - %% Deposition DP - \sankeynode{name=DP, quantity=\Q{DP}, at={[xshift=-2mm, yshift=10mm]SF.right}, align=left} - - %% Condensation CD - \sankeynode{name=CD, quantity=\Q{CD}, at={[xshift=-3mm, yshift=4mm]SF.right}, align=left} - - %% Net Rainfall RF-NET - \sankeynode{name=RF-NET, quantity=\Q{RF}+\Q{RF-LIQ}, at={[xshift=-6mm, yshift=0mm]SF.right}, align=left} - \sankeystart[water]{RF-NET} - \sankeyadvance[water]{RF-NET}{0.5cm} - - \sankeydubins{SF}{GROSS-from-SF} - \sankeydubins[air-to-ice]{DP}{GROSS-from-DP} - \sankeydubins{CD}{GROSS-from-CD} - \sankeyfork{RF-NET}{\Q{RF}/RFZ-from-RF-NET, \Q{RF-LIQ}/RF-LIQ-from-RF-NET} - \sankeydubins[water-to-ice]{RFZ-from-RF-NET}{GROSS-from-RF} - \sankeynode{name=RF-wpt0, quantity=\Q{RF-LIQ}, at={[xshift=-16mm,yshift=-10mm]GROSS-from-RFZ.right}, align=right} - \sankeynode{name=RF-wpt1, quantity=\Q{RF-LIQ}, at={[xshift=-18mm]GROSS-to-MELT.right}, align=right} - \sankeynode{name=RF-wpt2, quantity=\Q{RF-LIQ}, at={[xshift=-18mm,yshift=-10mm]RFZ-from-MELT.right}, align=right} - \sankeydubins[water]{RF-LIQ-from-RF-NET}{RF-wpt0} - \sankeydubins[water]{RF-wpt0}{RF-wpt1} - \sankeydubins[water]{RF-wpt1}{RF-wpt2} - \sankeydubins[water]{RF-wpt2}{RF-LIQ-to-RF-NET} - - \sankeystart[air]{DP} - \sankeystart{SF} - \sankeystart{CD} - - \sankeyset{ice} - %% \sankeynode{ name=MG, quantity=\Q{MG}, at={[xshift=20mm, yshift=-25mm]GROSS-from-IL.left}, anchor=right, angle=90} - %% \sankeystart[red]{MG} - %% %% \sankeyadvance[red-to-ice]{MG}{1cm} - %% \sankeyfork{MG}{\Q{GZRET}/GZRET, \Q{IL}/IL} - %% \sankeydubins[minimum radius=0mm]{IL}{GROSS-from-IL} - %% %% \sankeyadvance{GZRET}{2cm} - %% %% \sankeyturnleft{GZRET}{30} - %% %% \sankeyadvance{GZRET}{2cm} - %% %% \sankeyturnleft{GZRET}{-30} - %% %% \sankeyadvance{GZRET}{3cm} - %% \sankeydubins{GZRET}{GZRET-DYN} - - - %% DRIFT - \sankeynode{name=DRIFT-OUT, quantity=33, at={(3mm, -8mm)}, angle=150} - \sankeynode{name=DRIFT-IN, quantity=33, at={(-3mm, -8mm)}, angle=210} - \sankeydubins[minimum radius=5mm]{DRIFT-OUT}{DRIFT-IN} - \sankeystart{DRIFT-OUT} - \sankeyend{DRIFT-IN} - \node[anchor=center, align=center, rotate=0, shift=({0,0})] at (0,-15mm) {Drifting (?)}; - - \node[anchor=south east, align=center, shift=({2mm,-3mm})] at (EV-out.right) {Evaporation\\(\Q{EV})}; - - \node[anchor=east, align=center, shift=({0mm,-1cm})] at (RU-NET.center) {Net Runoff\\(\sankeygetnodeqty{RU-NET})}; - - \node[anchor=center, align=center, shift=({0mm,-1cm})] at (SUB.center) {Submarine\\melt \\(\sankeygetnodeqty{SUB})}; - - \node[anchor=center, align=center, shift=({0mm,-1cm})] at (ICE.center) {Calving\\(\sankeygetnodeqty{ICE})}; - - \node[anchor=north, align=center, rotate=0, shift=({0cm, -0.5cm})] at (BM.center) {Basal\\melting \\(\sankeygetnodeqty{BM})}; - - \node[anchor=center, align=center, shift=({0mm,0cm})] at (DYN.center) {Dynamics\\(\sankeygetnodeqty{DYN})}; - - \node[anchor=center, align=center, shift=({-0.6cm,2cm})] at (RU-from-MELT.center) {Melt\\ runoff\\(\sankeygetnodeqty{RU-from-MELT})}; - - \node[anchor=center, align=right, shift=({-1cm,-1cm})] at (GROSS-to-MELT.center) {Melting \\(\sankeygetnodeqty{GROSS-to-MELT})}; - - \node[anchor=right, align=right, shift=({-2cm,1cm})] at (RFZ-from-MELT.center) {Refreezing\\loop \\(\sankeygetnodeqty{RFZ-from-MELT})}; - - \node[anchor=center, align=center, shift=({0.2cm,1cm})] at (SU-out.center) {Sublimation\\(\sankeygetnodeqty{SU-out})}; - - \node[anchor=center, align=center, shift=({1cm,0.1cm})] at (MGNet-out.center) {Net mass gain\\(\sankeygetnodeqty{MGNet-out})}; - - \node[anchor=north, align=center, rotate=0, shift=({0cm, 0.0cm})] at (FRET.center) {Frontal retreat \\(\sankeygetnodeqty{FRET})}; - - \node[anchor=north, align=center, rotate=0, shift=({0cm, 0.0cm})] at (GZRET-DYN.center) {Grounding line retreat \\(\sankeygetnodeqty{GZRET-DYN})}; - - \node[anchor=center, align=center, shift=({0cm,0.75cm})] at (SF.center) {Snowfall (\sankeygetnodeqty{SF})}; - - \node[anchor=east, align=center, rotate=0, shift=({-0mm,0.2cm})] at (DP.center) {Deposition (\sankeygetnodeqty{DP})}; - - \node[anchor=east, align=center, rotate=0, shift=({-0mm,0.2cm})] at (CD.center) {Condensation (\sankeygetnodeqty{CD})}; - - \node[anchor=east, align=center, rotate=0, shift=({-0mm,0.3cm})] at (RF-NET.center) {Net rainfall (\sankeygetnodeqty{RF-NET})}; - - \end{sankeydiagram} -\end{tikzpicture} -\end{document} diff --git a/tex/gl_sankey.tex b/tex/gl_sankey.tex deleted file mode 100644 index 800beae..0000000 --- a/tex/gl_sankey.tex +++ /dev/null @@ -1,246 +0,0 @@ -\documentclass[11pt]{article} -\usepackage{sankey} -\usepackage{tikz} -\usepackage{pgf} -\pagestyle{empty} - -\renewcommand{\familydefault}{\sfdefault} - -\begin{document} -\begin{tikzpicture}[remember picture, overlay, shift={(5.5,-5.5)}] - - \begin{sankeydiagram} - %% \sankeyset{debug=true} - - \colorlet{water}[rgb]{cyan!75!blue!50!white} - \colorlet{ice}[rgb]{gray!20!gray!20!gray!20} - \colorlet{air}[rgb]{gray!1!gray!1!gray!1} - \colorlet{red}[rgb]{red!50!orange!75!white} - - \sankeyset{ - every node/.style={angle=-90}, - start style=arrow,end style=arrow, - %% fill/.style={fill=yellow!10,line width=0pt,draw=yellow!10}, - ratio=1mm/15, - minimum radius=1mm, - water/.style={fill/.style={draw=water,line width=0pt,fill=water,},}, - ice/.style={fill/.style={draw=ice,line width=0pt,fill=ice,},}, - air/.style={fill/.style={draw=air,line width=0pt,fill=air,},}, - ice-to-water/.style={fill/.style={fill=none, top color=ice, bottom color=water},}, - ice-to-air/.style={fill/.style={fill=none, top color=ice, bottom color=air},}, - water-to-air/.style={fill/.style={fill=none, top color=water, bottom color=air},}, - air-to-ice/.style={fill/.style={fill=none, top color=air, bottom color=ice},}, - red/.style={fill/.style={fill=none, top color=red, bottom color=red},}, - red-to-ice/.style={fill/.style={fill=none, top color=red, bottom color=ice},}, - water-to-ice/.style={fill/.style={fill=none, top color=water, bottom color=ice},}, - debug label/.style={ - overlay, - draw, - font=\ttfamily, - text=debug color,text opacity=1, - inner sep=.1em, - fill=white,fill opacity=0.5, - rounded corners=.1em, - node contents={\name (\qty)}, - }, - } - - % storage of labels - \newcommand\LabSet[2]{% node name, label - \expandafter\edef\csname#1@Lab\endcsname{#2}} - \newcommand\Lab[1]{% node name - \csname#1@Lab\endcsname} - % storage of quantities - \newcommand\QSet[2]{% node name, quantity - \expandafter\edef\csname#1@Q\endcsname{\fpeval{#2}}} - \newcommand\Q[1]{% node name - \csname#1@Q\endcsname} - % all nodes with their name, label and quantity - %% \newcommand\Q[1]{\sankeygetnodeqty{#1}} - - \sankeyset{ - def data/.code args={#1/#2/#3}{% node name/label/values - \LabSet{#1}{#2} - \QSet{#1}{#3} - \typeout{#1: \Q{#1} Gt (\Lab{#1})} - }, - def data/.list={ - %% INSERT_CSV_HERE - {MELT/Surface melt/\Q{RU}+\Q{RFZ}}, - {ICE-FRET2/ICE and some FRET/\Q{ICE}+0.5*\Q{FRET}}, - {SUB-FRET2/SUB and some FRET/\Q{SUB}+0.5*\Q{FRET}}, - {GROSS/Gross\\accumulation/\Q{DP}+\Q{RFZ}+\Q{SF}+\Q{RF}+\Q{CD}}, - {IL/Ice Loss/ - (\Q{SU}+\Q{RU}+\Q{BM}+\Q{DYN}-(\Q{SF}+\Q{RF}+\Q{CD}+\Q{DP}))}, - {ML/Net mass Loss/\Q{FRET}+\Q{IL}} - }, - } - - \sankeyset{ice} % color - - %% GROSS inputs - \sankeynode{ - name=GROSS, - quantity=\Q{GROSS}+\Q{IL}, - at={0,0}, - % inputs - forked={ - \Q{IL}/GROSS-from-IL, % Ice loss - \Q{SF}/GROSS-from-SF, % snowfall - \Q{DP}/GROSS-from-DP, % deposition - \Q{CD}/GROSS-from-CD, % condensation - \Q{RFZ}+\Q{RF}/GROSS-from-RFZ % refrozen melt - }, - } - \sankeyadvance{GROSS}{2cm} - %% GROSS outputs - \sankeyfork{GROSS}{ - \Q{SU}/GROSS-to-SU, - \Q{BM}/GROSS-to-BM, - \Q{DYN}/GROSS-to-DYN, - \Q{MELT}/GROSS-to-MELT} - - - \sankeynode{name=BM, quantity=\Q{BM}, at={[xshift=8mm, yshift=-3cm]GROSS-to-BM.center}, anchor=center} - \sankeynode{name=DYN, quantity=\Q{DYN}, at={[xshift=-8mm, yshift=0mm]BM.right}, anchor=left} - \sankeynode{name=DYN-FRET, quantity=\Q{DYN}+\Q{FRET}, at={[xshift=0mm, yshift=-3cm]DYN.center}, anchor=center} - \sankeynode{DYN-FRET-attach-x, quantity=\Q{FRET}, at={[yshift=0.5cm]DYN-FRET}, anchor=center, forked={\Q{FRET}/DYN-FRET-attach}} - \sankeynode{name=MELT, quantity=\Q{MELT}, at={[xshift=-4mm, yshift=0mm]DYN.right}, anchor=left} - - %% BM - \sankeydubins[ice-to-water]{GROSS-to-BM}{BM} - \sankeyadvance[water]{BM}{3cm} - \sankeyadvance[water]{BM}{3cm} - \sankeyend[water]{BM} - - %% %% MELT - \sankeydubins[ice-to-water]{GROSS-to-MELT}{MELT} - \sankeyfork{MELT}{\Q{RU}/RU-from-MELT, \Q{RFZ}/RFZ-from-MELT} - \sankeyadvance[water]{RU-from-MELT}{3cm} - \sankeynode{name=RU-GROSS, quantity=\Q{RU}+\Q{RF-LIQ}, at={RU-from-MELT.left}, anchor=left, - forked={\Q{RU}/other, \Q{RF-LIQ}/RF-LIQ-to-RF-NET}} - \sankeyadvance[water]{RU-GROSS}{1.5cm} - \sankeyfork{RU-GROSS}{\Q{RU}+\Q{RF-LIQ}-\Q{EV}/RU-NET, \Q{EV}/EVAP} - \sankeyadvance[water]{RU-NET}{1.5cm} - \sankeyend[water]{RU-NET} - - %% RFZ - \sankeynode{ name=RFZ-waypoint0, quantity=\Q{RFZ}+\Q{RF}, angle=90, - at={[xshift=-20mm, yshift=0cm]RFZ-from-MELT.right}, anchor=right, - forked={\Q{RF}/RF-to-RFZ2, \Q{RFZ}/RFZ-waypoint0-in}} - \sankeynode{ name=RFZ-waypoint1, quantity=\Q{RFZ}+\Q{RF}, angle=90, - at={[xshift=-20mm, yshift=0cm]GROSS-from-RFZ.right}, anchor=right} - \sankeydubins[water]{RFZ-from-MELT}{RFZ-waypoint0-in} - \sankeydubins[ice-to-water]{RFZ-waypoint0}{RFZ-waypoint1} - \sankeydubins[ice]{RFZ-waypoint1}{GROSS-from-RFZ} - - %% DYN - \sankeydubins{GROSS-to-DYN}{DYN} - \sankeyoutin{DYN}{DYN-FRET} - \sankeynode{name=FRET-DYN, quantity=\Q{FRET}, at={DYN-FRET.center}, anchor=center} - \sankeyfork{DYN-FRET}{\Q{ICE-FRET2}/ICE-from-DYN, \Q{SUB-FRET2}/SUB} - \sankeyadvance[ice-to-water]{SUB}{3cm} - \sankeyend[water]{SUB} - \sankeynode{name=ICE, quantity=\Q{ICE-FRET2}, at={[xshift=3mm, yshift=0mm]SUB.left}, anchor=right} - \sankeydubins{ICE-from-DYN}{ICE} - \sankeyend{ICE} - - %% EV - \sankeynode{name=EV-out, quantity=\Q{EV}, at={[xshift=-10mm, yshift=-10mm]EVAP.center}, anchor=center, angle=180} - \sankeydubins[water-to-air]{EVAP}{EV-out} - \sankeyend[air]{EV-out} - - %% SU - \sankeynode{name=SU-out, quantity=\Q{SU}, - at={[xshift=10mm, yshift=-10mm]GROSS-to-SU.center}, anchor=center, angle=0} - \sankeydubins[ice-to-air]{GROSS-to-SU}{SU-out} - \sankeyend[air]{SU-out} - - %%% INPUTS - - \sankeynode{name=SF, quantity=\Q{SF}, at={[xshift=0, yshift=5cm]GROSS-from-SF.center}, align=center} - \sankeynode{name=DP, quantity=\Q{DP}, at={[xshift=-3mm, yshift=0]SF.right}, align=left} - \sankeynode{name=CD, quantity=\Q{CD}, at={[xshift=-3mm, yshift=0]DP.right}, align=left} - \sankeynode{name=RF-NET, quantity=\Q{RF}+\Q{RF-LIQ}, at={[xshift=-6mm, yshift=0]CD.right}, align=left} - \sankeystart[water]{RF-NET} - %% \sankeyadvance[water]{RF-NET}{0.5cm} - - \sankeydubins{SF}{GROSS-from-SF} - \sankeydubins[air-to-ice]{DP}{GROSS-from-DP} - \sankeydubins{CD}{GROSS-from-CD} - - %% FRZ loop with RF - \sankeynode{name=RF-NET1, quantity=\Q{RF-LIQ}+\Q{RF}, at={[xshift=-10mm]GROSS-to-MELT.right}, align=right} - \sankeynode{name=RF-NET2, quantity=\Q{RF-LIQ}+\Q{RF}, - at={[xshift=-10mm, yshift=-1cm]RFZ-from-MELT.right}, align=right} - \sankeydubins[water]{RF-NET}{RF-NET1} - \sankeydubins[water]{RF-NET1}{RF-NET2} - \sankeyfork{RF-NET2}{\Q{RF-LIQ}/RF-to-RU-NET, \Q{RF}/RF-to-RFZ} - \sankeydubins[water]{RF-to-RU-NET}{RF-LIQ-to-RF-NET} - \sankeydubins[water, minimum radius=6mm]{RF-to-RFZ}{RF-to-RFZ2} - %% %% \sankeyfork{RF-wpt2}{\Q{RF}/RFZ-from-RF-NET, \Q{RF-LIQ}/RF-LIQ-from-RF-NET} - %% \sankeydubins[water]{RF-to-RU}{RF-LIQ-to-RF-NET} - - \sankeystart[air]{DP} - \sankeystart{SF} - \sankeystart{CD} - - \sankeyset{ice} - \sankeynode{ name=ML, quantity=\Q{FRET}+\Q{IL}, at={[xshift=8mm]SF.left}, anchor=right} - \sankeystart[red]{ML} - %% \sankeynode{ name=ML_start, quantity=\Q{FRET}+\Q{IL}, at={[xshift=8mm]SF.left}, - anchor=left, angle=90} - %% \sankeyend[red]{ML_start} - \sankeyadvance[red-to-ice]{ML}{1cm} - \sankeyfork{ML}{\Q{FRET}/FRET, \Q{IL}/IL} - \sankeydubins[minimum radius=2mm]{IL}{GROSS-from-IL} - \sankeyadvance{FRET}{2cm} - \sankeyturnleft{FRET}{30} - \sankeyadvance{FRET}{2cm} - \sankeyturnleft{FRET}{-30} - \sankeyadvance{FRET}{3cm} - %% \sankeydubins{FRET}{FRET-DYN} - \sankeydubins{FRET}{DYN-FRET-attach} - - - %% DRIFT - \sankeynode{name=DRIFT-OUT, quantity=33, at={(3mm, -8mm)}, angle=150} - \sankeynode{name=DRIFT-IN, quantity=33, at={(-3mm, -8mm)}, angle=210} - \sankeydubins[minimum radius=5mm]{DRIFT-OUT}{DRIFT-IN} - \sankeystart{DRIFT-OUT} - \sankeyend{DRIFT-IN} - \node[anchor=center, align=center, rotate=0, shift=({0,0})] at (0,-15mm) {Drifting (\Q{DR})}; - - \node[anchor=south east, align=center, shift=({2mm,-3mm})] at (EV-out.right) {Evaporation\\(\Q{EV})}; - - \node[anchor=center, align=center, shift=({0mm,-1cm})] at (RU-NET.center) {Net Runoff\\(\sankeygetnodeqty{RU-NET})}; - - \node[anchor=center, align=center, shift=({0mm,-1cm})] at (SUB.center) {Submarine\\melt (\sankeygetnodeqty{SUB})}; - - \node[anchor=center, align=center, shift=({0mm,-1cm})] at (ICE.center) {Calving\\(\sankeygetnodeqty{ICE})}; - - \node[anchor=center, align=left, rotate=-90, shift=({1.5cm, -2mm})] at (BM.center) {Basal\\melting (\sankeygetnodeqty{BM})}; - - \node[anchor=center, align=center, shift=({0mm,0cm})] at (DYN.center) {Dynamics\\(\sankeygetnodeqty{DYN})}; - - %% \node[anchor=center, align=center, shift=({0mm,1cm})] at (RU-from-MELT.center) {Melt runoff\\(\sankeygetnodeqty{RU-from-MELT})}; - - \node[anchor=center, align=center, shift=({0mm,-1cm})] at (GROSS-to-MELT.center) {Melting \\(\sankeygetnodeqty{GROSS-to-MELT})}; - - \node[anchor=center, align=center, shift=({0.5cm,1.5cm})] at (RFZ-waypoint1.center) {Refreezing\\(\sankeygetnodeqty{GROSS-from-RFZ})}; - - \node[anchor=center, align=center, shift=({0cm,1cm})] at (SU-out.center) {Sublimation\\(\sankeygetnodeqty{SU-out})}; - - \node[anchor=center, align=center, shift=({0cm,2.25cm})] at (ML.center) {Mass loss (\sankeygetnodeqty{ML}) = \\SMB \& Dynamics (\sankeygetnodeqty{IL})\\+ Frontal retreat (\sankeygetnodeqty{FRET})}; - - \node[anchor=center, align=center, shift=({0cm,0.75cm})] at (SF.center) {Snowfall (\sankeygetnodeqty{SF})}; - - \node[anchor=east, align=center, rotate=-90, shift=({-3mm,0cm})] at (DP.center) {Deposition (\sankeygetnodeqty{DP})}; - - \node[anchor=east, align=center, rotate=-90, shift=({-3mm,0cm})] at (CD.center) {Condensation (\sankeygetnodeqty{CD})}; - - \node[anchor=east, align=center, rotate=-90, shift=({-3mm,0mm})] at (RF-NET.center) {Net rainfall (\sankeygetnodeqty{RF-NET})}; - - \end{sankeydiagram} -\end{tikzpicture} -\end{document} From efb4260bade6b3e9c70e7a6ab9b7f79e4a1abc55 Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Sun, 29 Jun 2025 09:22:59 +0100 Subject: [PATCH 12/14] thank reviewers --- ms.org | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ms.org b/ms.org index 1832c99..0d269dc 100644 --- a/ms.org +++ b/ms.org @@ -738,7 +738,7 @@ No authors have any conflict of interest with the work presented here. Funding: KDM was supported by the NASA Modeling, Analysis and Prediction program. -People: We thank Andreas Ahlstrøm and Nanna Karlsson for additional comments on this paper. +People: We thank Andreas Ahlstrøm and Nanna Karlsson for additional comments on this paper. We thank the three reviewers for their comments that helped improved the manuscript. Software: We thank citep:sankey for the \LaTeX\enspace TikZ Sankey package, and citet:cogley_2011 for a reference graphic. Analysis was aided by the software packages Pandas (citet:pandas_team), Xarray (citet:xarray), and GRASS GIS (citet:GRASS), among other tools. From 013dc81ca6a27c80f396cff23f6c9a5ecc3ab669 Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Sun, 29 Jun 2025 09:29:58 +0100 Subject: [PATCH 13/14] Cite software --- library.bib | 29 ++++++++++++++++------------- ms.org | 2 +- 2 files changed, 17 insertions(+), 14 deletions(-) diff --git a/library.bib b/library.bib index 63dd627..a80c68e 100644 --- a/library.bib +++ b/library.bib @@ -1,3 +1,19 @@ + +@misc{geopandas, + author = {Joris Van den Bossche, and Kelsey Jordahl, and Martin Fleischmann, and Matt Richards, + and James McBride, and Jacob Wasserman, and Adrian Garcia Badaracco, and Alan D. + Snow, and Brendan Ward, and Jeff Tratner, and Jeffrey Gerard, and Matthew Perry, + and cjqf, and Geir Arne Hjelle, and Mike Taves, and Ewout ter Hoeven, and Micah + Cochran, and Ray Bell, and rraymondgh, and Matt Bartos, and Pieter Roggemans, and + Lucas Culbertson, and Giacomo Caria, and Nicholas YS Tan, and Nick Eubank, and + sangarshanan, and John Flavin, and Sergio Rey, and James Gardiner, }, + title = {geopandas/geopandas: v1.0.1}, + year = 2024, + doi = {10.5281/ZENODO.12625316}, + publisher = {Zenodo}, + copyright = {Creative Commons Attribution 4.0 International} +} + @article{mottram_2021, author = {Mottram, Ruth and Hansen, Nicolaj and Kittel, Christoph and van Wessem, J. Melchior and Agosta, Cécile and Amory, Charles and Boberg, Fredrik and van de Berg, Willem @@ -165,19 +181,6 @@ @article{reijmer_2012 publisher = {Copernicus GmbH}, } -@article{kochtitzky_2023, - author = {Kochtitzky, William and Copland, Luke and King, Michalea and Hugonnet, Romain and Jiskoot, Hester and Morlighem, Mathieu and Millan, Romain and Khan, Shfaqat Abbas and Noël, Brice}, - title = {Closing {G}reenland’s Mass Balance: Frontal Ablation of Every {G}reenlandic Glacier From 2000 to 2020}, - journal = {Geophysical Research Letters}, - year = 2023, - volume = 50, - number = 17, - month = 9, - ISSN = {1944-8007}, - DOI = {10.1029/2023gl104095}, - publisher = {American Geophysical Union (AGU)}} - - @article{lenaerts_2012, author = {Lenaerts, J. T. M. and van den Broeke, M. R. and van Angelen, J. H. and van Meijgaard, E. and Déry, S. J.}, diff --git a/ms.org b/ms.org index 0d269dc..323e8c1 100644 --- a/ms.org +++ b/ms.org @@ -740,7 +740,7 @@ Funding: KDM was supported by the NASA Modeling, Analysis and Prediction program People: We thank Andreas Ahlstrøm and Nanna Karlsson for additional comments on this paper. We thank the three reviewers for their comments that helped improved the manuscript. -Software: We thank citep:sankey for the \LaTeX\enspace TikZ Sankey package, and citet:cogley_2011 for a reference graphic. Analysis was aided by the software packages Pandas (citet:pandas_team), Xarray (citet:xarray), and GRASS GIS (citet:GRASS), among other tools. +Software: We thank citep:sankey for the \LaTeX\enspace TikZ Sankey package, and citet:cogley_2011 for a reference graphic. Analysis was aided by the software packages Pandas citep:pandas_team, GeoPandas citep:geopandas, Xarray citep:xarray, and GRASS GIS citep:GRASS, among other tools. * Appendix :ignore: \appendix From c1903f0e6c49e49fc4605c3f8a325b663ce64d48 Mon Sep 17 00:00:00 2001 From: Ken Mankoff Date: Mon, 30 Jun 2025 15:16:57 -0700 Subject: [PATCH 14/14] Show reviewers our changes --- reviews/review.org | 49 ++++++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 47 insertions(+), 2 deletions(-) diff --git a/reviews/review.org b/reviews/review.org index 68c358d..989613a 100644 --- a/reviews/review.org +++ b/reviews/review.org @@ -11,9 +11,12 @@ #+MACRO: BEGIN_REPLY @@latex:{\bfseries\color{brown}@@ @@odt:@@ #+MACRO: END_REPLY @@latex:}@@ @@odt:@@ +#+MACRO: BEGIN_NEWTXT @@latex:{\it\color{brown}@@ +#+MACRO: END_NEWTXT @@latex:}@@ + \maketitle -We're happy to see all three reviewers suggest only minor comments. We have addressed each comment in the revised manuscript, or explained here why we are not making the recommended changes. We also reply in-line below to each comment. Comments from reviewers are in normal font. Replies are in {{{BEGIN_REPLY}}}colored bold font{{{END_REPLY}}}. +We're happy to see all three reviewers suggest only minor comments. We have addressed each comment in the revised manuscript, or explained here why we are not making the recommended changes. We also reply in-line below to each comment. Comments from reviewers are in normal font. Replies are in {{{BEGIN_REPLY}}}colored bold font{{{END_REPLY}}}. Changed text is {{{BEGIN_NEWTXT}}}shown in colored italic font{{{END_NEWTXT}}}. \tableofcontents @@ -33,6 +36,11 @@ In the abstract, the sentence “Ice mass loss in Antarctica is 450 ± 270 Gt yr {{{BEGIN_REPLY}}} Fixed. + +{{{BEGIN_NEWTXT}}} +Ice mass loss in Antarctica is 450 \pm270 Gt yr^{-1} which is *~2.4x* the 190 \pm115 Gt yr^{-1} grounded ice mass loss estimates. +{{{END_NEWTXT}}} + {{{END_REPLY}}} I appreciated the background on Sankey diagrams. And the examples to explain the concepts. @@ -53,6 +61,10 @@ The manuscript uses terms like “mass loss,” “drawdown,” “frontal melt, {{{BEGIN_REPLY}}} The phases are captured in the current diagrams, and more clearly stated in the figure caption thanks to comments from another reviewer. We opt to not add another figure to the ms showing this, but have added an additional sentence that the processes described here are better shown in their physical setting in Fig. 2 of citet:cogley_2011. + +{{{BEGIN_NEWTXT}}} +We refer readers to Fig. 2 of citet:cogley_2011 for a graphical schematic showing mass flow pathways overlaid on a glacier including phases (solid, liquid, gas), and boundaries (grounded, floating, ocean). +{{{END_NEWTXT}}} {{{END_REPLY}}} While the authors acknowledge that traditional uncertainty propagation leads to overestimates in residual terms, the alternative method—using weighted uncertainties—still leaves ambiguity. Would the authors consider adding a brief text to reinforce the validity of their reported 15–70% uncertainty range? @@ -65,6 +77,14 @@ The merging of datasets with varying resolutions and time periods (e.g., 1997– {{{BEGIN_REPLY}}} Added paragraphs discussing non-overlap and what that might mean. + +{{{BEGIN_NEWTXT}}} +The impact of non-overlap is a function of the scale and variability of the term. + +The largest shift in Greenland is 2013 -- 2022 vs the baseline 2010 -- 2019, or approximately a 30 % non-overlap. The term is the ice shelf melt and freeze product which is small, and we estimate the variability as medium due to the oceanic forcing. It is less variable than atmospherically controlled SMB terms (which also happen to be large) and more variable than terms controlled by glacier large-scale dynamics. + +The largest shift in Antarctica is 1997 - 2021 vs the baseline 2010 -- 2019. As discussed this term is not defined outside of the Amundsen sea sector, and remains an important area for future studies to help reduced uncertainties and close the budget of the ice sheet mass balance work presented here. +{{{END_NEWTXT}}} {{{END_REPLY}}} While powerful, the diagrams may oversimplify spatial variability and the division between grounded and floating components. The alternate display in Appendix C is good, but a brief comparison in the main text could be of great addition. @@ -85,9 +105,14 @@ Grounded Ice Basal Melt (L197) - I understand that many of the mass flows come f {{{BEGIN_REPLY}}} Added text providing a bit more background and detail on the grounded basal mass balance and geothermal uncertainty. + +{{{BEGIN_NEWTXT}}} +Ice-sheet wide, the term is split approximately evenly among the two (Antarctica) or three (Greenland) terms. The geothermal flux term is steady state but poorly observed under the ice sheets - only a few ground-truth measurements exist (c.f. citet:colgan_2022), and models of the spatial distribution of geothermal flow show substantial disagreement citep:zhang_2024. +{{{END_NEWTXT}}} + {{{END_REPLY}}} -Mass Change Labeling (L230) - Rather than "drawdown or retreat" and "build-up or expansion", it would seem more straightfoward to simply label these outcomes as "decreasing ice-sheet mass" and "increasing ice-sheet mass". I would suggest this throughout. +Mass Change Labeling (L230) - Rather than "drawdown or retreat" and "build-up or expansion", it would seem more straightfo[r]ward to simply label these outcomes as "decreasing ice-sheet mass" and "increasing ice-sheet mass". I would suggest this throughout. {{{BEGIN_REPLY}}} Our original version labeled these "mass loss" and "mass gain", which is, we think, the simplest label that the reviewer is moving towards with their suggestions of "decreasing ice-sheet mass" and "increasing ice-sheet mass". We changed to the current wording after many discussions, but agree with the reviewer and have changed back to "mass loss" and "mass gain" in the Sankey diagrams. The text still describes in more detail that "loss" is one of "drawdown" or "retreat", and "gain" is one of "build-up" or "expansion". @@ -124,6 +149,11 @@ And citet:van-den-broeke_2009 reports and it's not clear that the different numbers are problematic - they could both be correct and from different years. But we've added a sentence to the summary citing citet:otosaka_2023 that estimates disagree, and a common framework may be helpful. + +{{{BEGIN_NEWTXT}}} +Previous estimates of mass loss for Greenland and Antarctica show a range of values citep:otosaka_2023, highlighting the need for improved estimates and a common framework for accounting of ice sheet mass balance. The work presented here offers one such framework that could be adopted by the community for future balance estimates. +{{{END_NEWTXT}}} + {{{END_REPLY}}} Anomalies in Flows (L318) - It would be desirable to consider showing the Sankeys for high and low mass balance years for Greenland, for example, to perhaps demonstrate how the Sankeys can plainly visualize anomalies in different mass flows in different years. @@ -250,6 +280,11 @@ Line 108: I was surprised to see that the estimates of mass flow include periphe {{{BEGIN_REPLY}}} In Antarctica it is not easy to remove peripheral glaciers. And once we started including floating ice, the focus moves away from the traditional 'grounded ice sheet' to a more holistic view of 'regional ice sheet health' in which case including all of the ice made sense to us. There was some minor internal disagreement on this choice. We leave the title, but add mention of peripheral glaciers in the abstract and elsewhere, and have added a section to Methods describing this decision. + +{{{BEGIN_NEWTXT}}} +In Antarctica it is not easy to define or remove peripheral glaciers. We are also including floating ice, which is moves the focus away from the traditional assessments of `grounded ice sheet' to a more holistic view of `regional ice sheet health'. It naturally followed to include peripheral glaciers in Greenland too. +{{{END_NEWTXT}}} + {{{END_REPLY}}} Lines 147-151: Some of these values seem somewhat arbitrary. How did you decide to increase the estimate of losses from 17 Gt per year to 20 Gt per year? (After reading about rounding later in the manuscript, I’m guessing this was just part of rounding?) @@ -260,6 +295,11 @@ We agree some values are somewhat arbitrary. We believe that many values are som To your specific question about rounding from 17 to 20: This was done prior to the tabular rounding to take into account the specific text from citet:kochtitzky_2023 who write, "Because our fluxgates were typically located tens to hundreds of meters lower than those in the similar studies (King et al., 2018; Mankoff et al., 2020), the melt correction for these studies would be higher than values presented herein, although it is beyond the scope of the current study to determine what those values would be". which is why we believe using the citet:kochtitzky_2023 value of 17 Gt yr^{-1} is too low. We have added text describing this in more detail. + +{{{BEGIN_NEWTXT}}} +The elevation of flux gates used by Mankoff citet:mankoff_2020_solid were typically located tens to hundreds of meters higher (and therefore further from the calving front) than the flux gates used by citet:kochtitzky_2023. We estimate an average of ~3 Gt yr^{-1} are lost to surface melt while the ice transits this region. When estimating discharge from the perimeter of the ice sheet, we therefore subtract 20 Gt/yr from the more inland observations by citet:mankoff_2020_solid [...] +{{{END_NEWTXT}}} + {{{END_REPLY}}} Line 154: Not all glaciers in Greenland calve at the grounding line – some have floating fronts (seasonally or year-round), even if not typically considered to have an ice shelf (e.g., Jakobshavn, Helheim). @@ -272,6 +312,11 @@ Lines 260-263 – Rounding: What is the reasoning for this rounding? Just becaus {{{BEGIN_REPLY}}} Correct. Added a clarification. + +{{{BEGIN_NEWTXT}}} +In Table 2 we round to the nearest whole number, except values between 0 and 0.5 which are rounded up to 1. Everywhere else values are rounded to the nearest 5, except values between 0 and 2.5 which are rounded up to 5. We choose to round because because sub-decimal precision of terms presented here seems unlikely to be correct, even if it is correct it is not relevant to results, and for aesthetic reasons. +{{{END_NEWTXT}}} + {{{END_REPLY}}} Line 412: But is it really “total ice sheet mass change,” or does it also include the peripheral glaciers?

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