From 85017634b4a18ebe23e7887a3fe5e11e90a50239 Mon Sep 17 00:00:00 2001 From: Nicholas Clark Date: Thu, 14 Jul 2022 20:04:40 +1000 Subject: [PATCH] replace <- with = in stan code to meet new restrictions --- .DS_Store | Bin 20484 -> 0 bytes NEON_manuscript/.DS_Store | Bin 14340 -> 0 bytes NEON_manuscript/Case studies/.DS_Store | Bin 10244 -> 0 bytes .../Case studies/mvgam_case_study1.Rmd | 13 +- .../Case studies/mvgam_case_study1.html | 191 ++++++----- .../mvgam_case_study2_files/.DS_Store | Bin 8196 -> 0 bytes .../Case studies/rsconnect/.DS_Store | Bin 8196 -> 0 bytes .../rsconnect/documents/.DS_Store | Bin 10244 -> 0 bytes .../documents/mvgam_case_study1.Rmd/.DS_Store | Bin 8196 -> 0 bytes .../mvgam_case_study1.Rmd/rpubs.com/.DS_Store | Bin 8196 -> 0 bytes .../rpubs.com/rpubs/Publish Document.dcf | 4 +- .../documents/mvgam_case_study2.Rmd/.DS_Store | Bin 8196 -> 0 bytes .../mvgam_case_study2.Rmd/rpubs.com/.DS_Store | Bin 8196 -> 0 bytes NEON_manuscript/Figures/.DS_Store | Bin 12292 -> 0 bytes NEON_manuscript/Manuscript/.DS_Store | Bin 8196 -> 0 bytes NEON_manuscript/Manuscript/Appendix_S1.pdf | Bin 949773 -> 963013 bytes .../Appendix_S5_IxodesJAGS_Hyp3.txt | 314 +++++++++--------- .../Clark_etal_2021_Dynamic_GAMs_rev1.docx | Bin 160632 -> 0 bytes ...ark_etal_2022_Dynamic_GAMs_rev1_clean.docx | Bin 0 -> 133480 bytes ...k_etal_2022_Dynamic_GAMs_rev1_tracked.docx | Bin 0 -> 158630 bytes .../Clark_etal_responses_reviews.docx | Bin 0 -> 39304 bytes NEON_manuscript/next_todo.R | 7 +- R/add_stan_data.R | 12 +- R/add_trend_lines.R | 24 +- 24 files changed, 291 insertions(+), 274 deletions(-) delete mode 100644 .DS_Store delete mode 100644 NEON_manuscript/.DS_Store delete mode 100644 NEON_manuscript/Case studies/.DS_Store delete mode 100644 NEON_manuscript/Case studies/mvgam_case_study2_files/.DS_Store delete mode 100644 NEON_manuscript/Case studies/rsconnect/.DS_Store delete mode 100644 NEON_manuscript/Case studies/rsconnect/documents/.DS_Store delete mode 100644 NEON_manuscript/Case studies/rsconnect/documents/mvgam_case_study1.Rmd/.DS_Store delete mode 100644 NEON_manuscript/Case studies/rsconnect/documents/mvgam_case_study1.Rmd/rpubs.com/.DS_Store delete mode 100644 NEON_manuscript/Case studies/rsconnect/documents/mvgam_case_study2.Rmd/.DS_Store delete mode 100644 NEON_manuscript/Case studies/rsconnect/documents/mvgam_case_study2.Rmd/rpubs.com/.DS_Store delete mode 100644 NEON_manuscript/Figures/.DS_Store delete mode 100644 NEON_manuscript/Manuscript/.DS_Store delete mode 100644 NEON_manuscript/Manuscript/Clark_etal_2021_Dynamic_GAMs_rev1.docx create mode 100644 NEON_manuscript/Manuscript/Revision 1/Clark_etal_2022_Dynamic_GAMs_rev1_clean.docx create mode 100644 NEON_manuscript/Manuscript/Revision 1/Clark_etal_2022_Dynamic_GAMs_rev1_tracked.docx create mode 100644 NEON_manuscript/Manuscript/Revision 1/Clark_etal_responses_reviews.docx diff --git a/.DS_Store b/.DS_Store deleted file mode 100644 index fd6bede339ff2428f7e5fb7285c01cdfd7f8832b..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 20484 zcmeHP33Oal8NPqIz4!7;UnsPbX(pL&DQQERwM|;urdisi3$0C8sHBt3(2h)IVrJ5n zYH=48+*kxr6gQ}fTX8{DL=X{Cp&kUpb6n7)p5qEAF6j5)`{w1nH#1$Z+8)llb0&A@ z{_oDbcjv$N`@aAGCqfA77>PCru}TP`;lZtC3ejFFL>O&79@&HK{Kz@Rpoj37jmKDw z7h*u96X`vj{fSh6&e_F|;tUjLpg04?87R&`aR$zY8DQ+jp#k%YM{x#0S|cLoe}O%fN2Zm}MJ`^2D#h@==1 zX=wRj5f?)uv!{1BnMfsf;Y?n9BsTUWQUkWe$8w{;p!ddq%LC8k8U1_HL-rZp=^skO z)0z7E$Ejq@*m2`0XqurJ6OC8)?oRFP%|tRI>5jLj4<=}WUhEsNIjVGh2y&b8MWHc?`r&k#?P1p23D{$~&LrZ;axV7z2 zZTMhA{etG&@WT4$Lx*&2>gQyN;HsWgtIf52*13Cd)$4~c@l-OsB{rN!+ht7)eAjvE_+GZ~QL4KLn&239Nk4>`5&YgUoXt5a`L zYu4#jTHka9zF9T2!EDm3sJ=N7>5nB;*8;Ouv)1Ta_o$gwor}#SS{c>q+XhmDgSelx z>TVBqXx4+;W&GJ|Bk9cgp;&VCs#a*)cD5{!Mq^QJX7+2J*iSBup1jV!Ub~?e@r1-ic(T1nOK!>U$yF;? 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Notice how the summary at the top of the model file describes the data elements (and their dimensions) that are needed to condition the model, again the hope is tht this simplifies the task of modifying the model for any additional user-specific requirements +The model file can also be viewed, which can be handy for making modifications to the model so that extra stochastic elements can be added to a user's bespoke model. Notice how the summary at the top of the model file describes the data elements (and their dimensions) that are needed to condition the model, again the hope is that this simplifies the task of modifying the model for any additional user-specific requirements ```{r} m_mvgam$model_file ``` @@ -1114,3 +1114,8 @@ Both components contribute to forecast uncertainty, with the trend component con ```{r, fig.width=6, fig.height=6, fig.align='center'} plot_mvgam_resids(lynx_mvgam, n_bins = 25) ``` + +This same plot can also be produced for out of sample residuals if a set of test data is supplied (note that the function will assume that the test data come immediately sequential to the training data, there are no formal checks of this so it is up to the user to ensure this holds) +```{r, fig.width=6, fig.height=6, fig.align='center'} +plot_mvgam_resids(lynx_mvgam, n_bins = 25, data_test = lynx_test) +``` diff --git a/NEON_manuscript/Case studies/mvgam_case_study1.html b/NEON_manuscript/Case studies/mvgam_case_study1.html index c873fe16..9e58f732 100644 --- a/NEON_manuscript/Case studies/mvgam_case_study1.html +++ b/NEON_manuscript/Case studies/mvgam_case_study1.html @@ -1696,7 +1696,7 @@

Nicholas Clark (Nicholas Clark (

+

Notice how wiggly the function becomes in the last plot when \(\lambda\) is very small, indicating that the function is overfitting to the in-sample training data. Incidentally, this behaviour mirrors what mgcv’s @@ -1816,7 +1816,8 @@

Nicholas Clark (Nicholas Clark (m_mvgam$model_file
##  [1] "JAGS model code generated by package mvgam"                                                                   
 ##  [2] ""                                                                                                             
@@ -2172,8 +2173,8 @@ 

Nicholas Clark (head(mod_skeleton$pregam)

## $m
 ## [1] 1
@@ -2239,13 +2240,13 @@ 

Nicholas Clark (Nicholas Clark (Nicholas Clark (

+

Generally the uncertainy blows out when forecasting further ahead for the mgcv model (why might this be?); if we only look 2 timesteps ahead, it is not quite as terrible but it becomes more clear @@ -2462,15 +2463,15 @@

Nicholas Clark (

+

Why does autocorrelated observation model perform so badly? Q-Q plots give some insight, as they clearly indicate the dynamic latent trend model shows a better fit of the observation process to the data compared to the autocorrelated observation model

plot(m_mvgam, "residuals")
-

+

qq.gam(m_mgcv, pch = 16, lwd = 3, cex = 0.8)

In fact the the autocorrelated observation model is overestimating @@ -2490,7 +2491,7 @@

Nicholas Clark (quantile(MCMCvis::MCMCchains(m_mvgam$model_output, "r"), c(0.1, 0.5, 0.9))

##       10%       50%       90% 
-##  3.062211  7.095187 34.194210
+## 2.975743 6.680284 32.699677

Looking at estimates for the full trend and forecast distributions shows how the mvgam model is clearly doing a decent job of tracking the latent state up to the end of the training period while @@ -2500,13 +2501,13 @@

Nicholas Clark (

+

layout(1)
plot(m_mvgam, "forecast", data_test = data_test)
## Out of sample DRPS:
-
## [1] 63.10529
+
## [1] 64.69394
## 
-

+

We can get a better idea of what is happening for the autoregressive observation model by plotting posterior realisations on the log scale. Here each line is a realisation, and we show these lines as a spaghetti @@ -2538,7 +2539,7 @@

Nicholas Clark (

+

layout(1)

From the plots above it is apparent that although some of the realisations are sensible, as soon as a path climbs upward it tends to @@ -2580,9 +2581,9 @@

Nicholas Clark (

+

We should also re-check the autoregressive model’s realisations, which look much better now

plot(1, type = "n", bty = "L", xlab = "Time", 
@@ -2727,10 +2728,10 @@ 

Nicholas Clark (plot(m_mvgam, "smooths")

-

+

Inspect posterior realisations of the smooth function

plot(m_mvgam, "smooths", realisations = TRUE)
-

+

The plot_mvgam_smooth function allows more flexibility for plotting smooth functions, including an ability to supply newdata for plotting posterior marginal simulations. @@ -2742,29 +2743,29 @@

Nicholas Clark (plot_mvgam_smooth(m_mvgam, series = 1, smooth = "p_whiting", residuals = TRUE) -

+

We can also perform a series of posterior predictive checks (using the ppc() function) to see if the model is able to simulate data for the training period that looks realistic and unbiased. First, examine simulated histograms for posterior predictions (yhat) and compare to the observations (y)

ppc(m_mvgam, series = 1, type = "hist", legend_position = "bottomright")
-

+

Now plot the distribution of predicted means compared to the observed mean

ppc(m_mvgam, series = 1, type = "mean")
-

+

Next examine simulated empirical Cumulative Distribution Functions (CDF) for posterior predictions (yhat) and compare to the CDF of the observations (y)

ppc(m_mvgam, series = 1, type = "cdf")
-

+

Finally look for any biases in predictions by examining a Probability Integral Transform (PIT) histogram. If our predictions are not biased one way or another (i.e. not consistently under- or over-predicting), this histogram should look roughly uniform

ppc(m_mvgam, series = 1, type = "pit")
-

+

All of these plots indicate the model is well calibrated against the training data, with no apparent pathological behaviors exhibited. Now for some investigation of the estimated relationships and forecasts. We @@ -2773,7 +2774,7 @@

Nicholas Clark (plot(m_mvgam, series = 1, type = "residuals") -

+

Ok so the model is doing well when fitting against the training data, but how are its forecasts? We can now evaluate the forecasts of the two competing models just as we did above for the simulated data

@@ -2786,9 +2787,9 @@

Nicholas Clark (

+

Both models fail to anticipate the upward swing in landings following the end of the training data, but as with the simulations above, the autocorrelated observation model fitted by mgcv is @@ -2826,9 +2827,9 @@

Nicholas Clark (

+

This model shows an improvement in forecasting ability as the uncertainty in the temporal smooth function is more realistically growing into the future. But again, the dynamic GAM is superior in @@ -2857,9 +2858,9 @@

Nicholas Clark (

+

The dynamic GAM is difficult to beat for this example. But what other utilities does the mvgam package make available? We can also re-do the posterior predictive checks, but this time focusing only @@ -2868,13 +2869,13 @@

Nicholas Clark (ppc(m_mvgam, series = 1, type = "hist", data_test = data_test, legend_position = "topright", n_bins = 200) -

+

ppc(m_mvgam, series = 1, type = "mean", data_test = data_test)
-

+

ppc(m_mvgam, series = 1, type = "cdf", data_test = data_test)
-

+

ppc(m_mvgam, series = 1, type = "pit", data_test = data_test)
-

+

There are some problems with the way this model is generating future predictions, so we would need to perform a more rigorous and principled model development strategy to improve our model’s predictive abilities. @@ -2904,9 +2905,9 @@

Nicholas Clark (plot(m_mvgam, series = 1, type = "forecast", data_test = data_test)
## Out of sample DRPS:
-
## [1] 1861.594
+
## [1] 1789.736
## 
-

+

Now we will showcase how different dynamic models can be compared using rolling probabilistic forecast evaluation, which is especially useful if we don’t already have out of sample observations for comparing @@ -2930,13 +2931,13 @@

Nicholas Clark (

+

The series of plots generated by compare_mvgams clearly show that the first dynamic model generates better predictions. In each plot, DRPS for the forecast horizon is lower for the first @@ -2965,7 +2966,7 @@

Nicholas Clark (

+

Here it is apparent that the distribution has shifted upward in light of the 3 observations that have been assimilated. This is an advantageous way of allowing a model to slowly adapt to new @@ -3381,7 +3382,7 @@

Nicholas Clark (

+

Calculate DRPS over the 10-year horizon for the mvgam model

lynx_mvgam_drps <- drps_mcmc_object(truth = lynx_test$population[1:10], 
     fc = fits)
@@ -3401,7 +3402,7 @@

Nicholas Clark (sum(lynx_mvgam_drps[, 1]) -
## [1] 808.8933
+
## [1] 805.5717
mean(lynx_mvgam_drps[, 2])
## [1] 1

The mvgam has much more realistic uncertainty than the @@ -3436,42 +3437,42 @@

Nicholas Clark (Nicholas Clark (plot(lynx_mgcv, select = 1, shade = T) plot_mvgam_smooth(lynx_mvgam, 1, "season") -

+

We can also view the mvgam’s posterior predictions for the entire series (testing and training)

plot(lynx_mvgam, type = "forecast", data_test = lynx_test)
## Out of sample DRPS:
-
## [1] 808.8933
+
## [1] 805.5717
## 
-

+

And the estimated trend

plot(lynx_mvgam, type = "trend", data_test = lynx_test)
-

+

A key aspect of ecological forecasting is to understand how different components of a model contribute to forecast uncertainty. We can estimate contributions to forecast uncertainty for the GAM smooth functions and the latent trend using mvgam

plot(lynx_mvgam, type = "uncertainty", data_test = lynx_test)
-

+

Both components contribute to forecast uncertainty, with the trend component contributing more over time (as it should since this is the stochastic forecast component). This suggests we would still need some @@ -3518,7 +3519,15 @@

Nicholas Clark (plot_mvgam_resids(lynx_mvgam, n_bins = 25) -

+

+

This same plot can also be produced for out of sample residuals if a +set of test data is supplied (note that the function will assume that +the test data come immediately sequential to the training data, there +are no formal checks of this so it is up to the user to ensure this +holds)

+
plot_mvgam_resids(lynx_mvgam, n_bins = 25, 
+    data_test = lynx_test)
+

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