From 79572c228fe002c49afebba2fb04a8903142d699 Mon Sep 17 00:00:00 2001 From: Nicholas Clark Date: Tue, 19 Mar 2024 20:52:50 +1000 Subject: [PATCH] update website --- R/mvgam.R | 8 +- docs/articles/mvgam_overview.html | 378 +++++++++--------- .../Histogram of NDVI effects-1.png | Bin 18893 -> 18757 bytes .../figure-html/Plot NDVI effect-1.png | Bin 123616 -> 126911 bytes ...ted temporal functions using newdata-1.png | Bin 102991 -> 103453 bytes ...dcasts on the linear predictor scale-1.png | Bin 67988 -> 67709 bytes .../Plot posterior hindcasts-1.png | Bin 176929 -> 173221 bytes .../Plot posterior residuals-1.png | Bin 481692 -> 487206 bytes .../Plot random effect estimates-1.png | Bin 47448 -> 47345 bytes .../Plot smooth term derivatives-1.png | Bin 222010 -> 220171 bytes ...otting predictions against test data-1.png | Bin 164793 -> 163726 bytes .../figure-html/unnamed-chunk-13-1.png | Bin 165813 -> 166762 bytes .../figure-html/unnamed-chunk-17-1.png | Bin 44899 -> 44966 bytes .../figure-html/unnamed-chunk-18-1.png | Bin 164793 -> 163726 bytes .../figure-html/unnamed-chunk-22-1.png | Bin 155453 -> 154490 bytes .../figure-html/unnamed-chunk-23-1.png | Bin 147335 -> 147315 bytes .../figure-html/unnamed-chunk-23-2.png | Bin 51638 -> 51667 bytes .../figure-html/unnamed-chunk-26-1.png | Bin 171113 -> 171088 bytes .../figure-html/unnamed-chunk-27-1.png | Bin 308327 -> 319752 bytes .../figure-html/unnamed-chunk-28-1.png | Bin 208292 -> 208056 bytes .../figure-html/unnamed-chunk-28-2.png | Bin 141652 -> 141521 bytes .../figure-html/unnamed-chunk-29-1.png | Bin 117820 -> 117384 bytes .../figure-html/unnamed-chunk-29-2.png | Bin 67767 -> 68627 bytes .../figure-html/unnamed-chunk-31-1.png | Bin 189594 -> 189711 bytes .../figure-html/unnamed-chunk-33-1.png | Bin 151279 -> 151238 bytes .../figure-html/unnamed-chunk-34-1.png | Bin 257290 -> 255790 bytes .../figure-html/unnamed-chunk-35-1.png | Bin 253620 -> 251636 bytes docs/index.html | 6 +- docs/reference/Rplot002.png | Bin 64734 -> 64155 bytes .../figures/README-unnamed-chunk-13-1.png | Bin 21755 -> 21661 bytes .../figures/README-unnamed-chunk-14-1.png | Bin 31166 -> 31725 bytes .../figures/README-unnamed-chunk-15-1.png | Bin 8053 -> 8025 bytes .../figures/README-unnamed-chunk-16-1.png | Bin 9885 -> 9915 bytes .../figures/README-unnamed-chunk-17-1.png | Bin 7302 -> 7000 bytes .../figures/README-unnamed-chunk-18-1.png | Bin 9221 -> 9227 bytes .../figures/README-unnamed-chunk-19-1.png | Bin 16506 -> 16515 bytes .../figures/README-unnamed-chunk-20-1.png | Bin 11155 -> 11463 bytes .../figures/README-unnamed-chunk-21-1.png | Bin 13873 -> 13619 bytes .../figures/README-unnamed-chunk-22-1.png | Bin 25212 -> 24933 bytes .../figures/README-unnamed-chunk-23-1.png | Bin 14558 -> 14563 bytes .../figures/README-unnamed-chunk-24-1.png | Bin 37041 -> 36432 bytes docs/reference/forecast.mvgam.html | 17 +- docs/reference/get_mvgam_priors.html | 80 ++-- docs/reference/hindcast.mvgam.html | 11 +- docs/reference/index.html | 2 +- docs/reference/mvgam.html | 78 +++- docs/reference/mvgam_families.html | 25 +- docs/reference/sim_mvgam-1.png | Bin 252467 -> 243836 bytes docs/reference/sim_mvgam-2.png | Bin 156722 -> 155992 bytes docs/reference/sim_mvgam.html | 34 +- docs/reference/update.mvgam.html | 30 +- man/mvgam.Rd | 8 +- src/mvgam.dll | Bin 1084416 -> 1084416 bytes 53 files changed, 366 insertions(+), 311 deletions(-) diff --git a/R/mvgam.R b/R/mvgam.R index 057ec1a9..52e4d0dc 100644 --- a/R/mvgam.R +++ b/R/mvgam.R @@ -589,13 +589,13 @@ #' time = 1:50, #' series = 'series2', #' x = x, -#' ntrials = trials)) %>% -#' dplyr::mutate(series = as.factor(series)) %>% -#' dplyr::arrange(time, series) +#' ntrials = trials)) +#' dat <- dplyr::mutate(dat, series = as.factor(series)) +#' dat <- dplyr::arrange(dat, time, series) #' #' # Fit a model using the binomial() family; must specify observations #' # and number of trials in the cbind() wrapper -#' mod <- mvgam(cbind(y, ntrials) ~ series + s(x, by = series) +#' mod <- mvgam(cbind(y, ntrials) ~ series + s(x, by = series), #' family = binomial(), #' data = dat) #' summary(mod) diff --git a/docs/articles/mvgam_overview.html b/docs/articles/mvgam_overview.html index 0a44a5dd..07699b3c 100644 --- a/docs/articles/mvgam_overview.html +++ b/docs/articles/mvgam_overview.html @@ -78,7 +78,7 @@

Nicholas J Clark

-

2024-03-12

+

2024-03-19

Source: vignettes/mvgam_overview.Rmd
mvgam_overview.Rmd
@@ -155,7 +155,7 @@

Supported observation families LogNormal (identity link) -lognormal() +lognormal() Positive real values in \([0, \infty)\) \(\sigma\) @@ -169,25 +169,39 @@

Supported observation families Beta (logit link) -betar() +betar() Real values (proportional) in \([0,1]\) \(\phi\) +Bernoulli (logit link) +bernoulli() +Binary data in \({0,1}\) + +- + + Poisson (log link) poisson() Non-negative integers in \((0,1,2,...)\) - - + Negative Binomial2 (log link) -nb() +nb() Non-negative integers in \((0,1,2,...)\) \(\phi\) + +Binomial (logit link) +binomial() +Non-negative integers in \((0,1,2,...)\) + +- + Poisson Binomial N-mixture (log link) nmix() @@ -198,9 +212,11 @@

Supported observation families\(\sigma\) in a Gaussian model or the \(\phi\) in a Negative Binomial model) are -estimated independently for each series. Note that default link -functions cannot currently be changed in mvgam.

+need to be estimated (i.e. the \(\sigma\) in a Gaussian model or the \(\phi\) in a Negative Binomial model) are by +default estimated independently for each series. However, users can opt +to force all series to share extra observation parameters using +share_obs_params = TRUE in
mvgam(). Note that +default link functions cannot currently be changed.

Supported temporal dynamic processes @@ -369,12 +385,12 @@

Regression formulaeglm() except that smooth terms, -s(), te(), ti() and -t2(), time-varying effects using dynamic(), +s(), te(), ti() and +t2(), time-varying effects using dynamic(), monotonically increasing (using s(x, bs = 'moi')) or decreasing splines (using s(x, bs = 'mod'); see ?smooth.construct.moi.smooth.spec for details), as well as -Gaussian Process functions using gp(), can be added to the +Gaussian Process functions using gp(), can be added to the right hand side (and . is not supported in mvgam formulae). See ?mvgam_formulae for more guidance.

@@ -446,18 +462,18 @@

Manipulating data for modellingdata <- sim_mvgam(n_series = 4, T = 24) head(data$data_train, 12)

##    y season year   series time
-## 1  0      1    1 series_1    1
-## 2  0      1    1 series_2    1
-## 3  0      1    1 series_3    1
-## 4  0      1    1 series_4    1
-## 5  1      2    1 series_1    2
-## 6  0      2    1 series_2    2
-## 7  0      2    1 series_3    2
+## 1  7      1    1 series_1    1
+## 2  4      1    1 series_2    1
+## 3  2      1    1 series_3    1
+## 4  3      1    1 series_4    1
+## 5  3      2    1 series_1    2
+## 6  1      2    1 series_2    2
+## 7  3      2    1 series_3    2
 ## 8  1      2    1 series_4    2
-## 9  2      3    1 series_1    3
-## 10 0      3    1 series_2    3
-## 11 0      3    1 series_3    3
-## 12 1      3    1 series_4    3
+## 9 4 3 1 series_1 3 +## 10 7 3 1 series_2 3 +## 11 3 3 1 series_3 3 +## 12 6 3 1 series_4 3

Notice how we have four different time series in these simulated data, but we do not spread the outcome values into different columns. Rather, there is only a single column for the outcome variable, labelled @@ -578,8 +594,8 @@

GLMs with temporal random effectsyear to a factor so that we can use a random effect -basis in mvgam. See ?smooth.terms and -?smooth.construct.re.smooth.spec for details about the +basis in mvgam. See ?smooth.terms and +?smooth.construct.re.smooth.spec for details about the re basis construction that is used by both mvgam and mgcv

@@ -606,8 +622,8 @@ 

GLMs with temporal random effects## [11] "2014" "2015" "2016" "2017" "2018" "2019" "2020"

We are now ready for our first mvgam model. The syntax will be familiar to users who have previously built models with -mgcv. But for a refresher, see ?formula.gam -and the examples in ?gam. Random effects can be specified +mgcv. But for a refresher, see ?formula.gam +and the examples in ?gam. Random effects can be specified using the s wrapper with the re basis. Note that we can also suppress the primary intercept using the usual R formula syntax - 1. mvgam has a @@ -626,7 +642,7 @@

GLMs with temporal random effects
-model1 <- mvgam(count ~ s(year_fac, bs = 're') - 1,
+model1 <- mvgam(count ~ s(year_fac, bs = 're') - 1,
                 family = poisson(),
                 data = model_data)

The model can be described mathematically for each timepoint \(t\) as follows: \[\begin{align*} @@ -643,15 +659,15 @@

GLMs with temporal random effects\((\mu_{year})\) and \((\sigma_{year})\) can be viewed using the following code:

-get_mvgam_priors(count ~ s(year_fac, bs = 're') - 1,
+get_mvgam_priors(count ~ s(year_fac, bs = 're') - 1,
                  family = poisson(),
                  data = model_data)
##                      param_name param_length           param_info
 ## 1             vector[1] mu_raw;            1 s(year_fac) pop mean
 ## 2 vector<lower=0>[1] sigma_raw;            1   s(year_fac) pop sd
 ##                               prior                 example_change
-## 1            mu_raw ~ std_normal();  mu_raw ~ normal(-0.32, 0.51);
-## 2 sigma_raw ~ student_t(3, 0, 2.5); sigma_raw ~ exponential(0.81);
+## 1            mu_raw ~ std_normal();   mu_raw ~ normal(0.83, 0.57);
+## 2 sigma_raw ~ student_t(3, 0, 2.5); sigma_raw ~ exponential(0.98);
 ##   new_lowerbound new_upperbound
 ## 1             NA             NA
 ## 2             NA             NA
@@ -688,32 +704,32 @@

GLMs with temporal random effects## ## GAM coefficient (beta) estimates: ## 2.5% 50% 97.5% Rhat n_eff -## s(year_fac).1 1.80 2.1 2.3 1 3394 -## s(year_fac).2 2.50 2.7 2.8 1 2659 -## s(year_fac).3 3.00 3.1 3.2 1 3070 -## s(year_fac).4 3.10 3.3 3.4 1 2710 -## s(year_fac).5 1.90 2.1 2.3 1 3262 -## s(year_fac).6 1.50 1.8 2.0 1 3151 -## s(year_fac).7 1.80 2.0 2.3 1 3153 -## s(year_fac).8 2.80 3.0 3.1 1 3226 -## s(year_fac).9 3.10 3.2 3.4 1 2604 -## s(year_fac).10 2.60 2.8 2.9 1 3122 -## s(year_fac).11 2.90 3.1 3.2 1 3207 -## s(year_fac).12 3.10 3.2 3.3 1 2495 -## s(year_fac).13 2.00 2.2 2.5 1 2844 -## s(year_fac).14 2.50 2.6 2.8 1 2654 -## s(year_fac).15 1.90 2.2 2.4 1 2648 -## s(year_fac).16 1.90 2.1 2.3 1 3048 -## s(year_fac).17 -0.22 1.1 1.9 1 608 +## s(year_fac).1 1.80 2.1 2.3 1.00 2530 +## s(year_fac).2 2.50 2.7 2.8 1.00 3312 +## s(year_fac).3 3.00 3.1 3.2 1.00 3152 +## s(year_fac).4 3.10 3.3 3.4 1.00 3083 +## s(year_fac).5 1.90 2.1 2.3 1.00 3354 +## s(year_fac).6 1.50 1.8 2.0 1.00 3435 +## s(year_fac).7 1.80 2.0 2.3 1.00 2734 +## s(year_fac).8 2.80 3.0 3.1 1.00 2978 +## s(year_fac).9 3.10 3.2 3.4 1.00 2631 +## s(year_fac).10 2.60 2.8 2.9 1.00 3071 +## s(year_fac).11 3.00 3.1 3.2 1.00 2762 +## s(year_fac).12 3.10 3.2 3.3 1.00 2633 +## s(year_fac).13 2.00 2.2 2.5 1.00 2832 +## s(year_fac).14 2.50 2.6 2.8 1.00 3039 +## s(year_fac).15 1.90 2.2 2.4 1.00 2728 +## s(year_fac).16 1.90 2.1 2.3 1.00 2777 +## s(year_fac).17 -0.24 1.1 1.9 1.01 395 ## ## GAM group-level estimates: ## 2.5% 50% 97.5% Rhat n_eff -## mean(s(year_fac)) 2.10 2.40 2.7 1.02 237 -## sd(s(year_fac)) 0.44 0.67 1.0 1.01 284 +## mean(s(year_fac)) 2.00 2.40 2.8 1.04 177 +## sd(s(year_fac)) 0.46 0.67 1.1 1.02 187 ## ## Approximate significance of GAM observation smooths: -## edf Chi.sq p-value -## s(year_fac) 14 24250 <2e-16 *** +## edf Chi.sq p-value +## s(year_fac) 13.2 23780 <2e-16 *** ## --- ## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## @@ -724,7 +740,7 @@

GLMs with temporal random effects## 0 of 2000 iterations saturated the maximum tree depth of 12 (0%) ## E-FMI indicated no pathological behavior ## -## Samples were drawn using NUTS(diag_e) at Tue Mar 12 1:59:29 PM 2024. +## Samples were drawn using NUTS(diag_e) at Tue Mar 19 8:28:08 PM 2024. ## For each parameter, n_eff is a crude measure of effective sample size, ## and Rhat is the potential scale reduction factor on split MCMC chains ## (at convergence, Rhat = 1) @@ -741,23 +757,23 @@

GLMs with temporal random effectsdplyr::glimpse(beta_post)

## Rows: 2,000
 ## Columns: 17
-## $ `s(year_fac).1`  <dbl> 2.02996, 2.00453, 2.16828, 1.87209, 2.05206, 2.13466,…
-## $ `s(year_fac).2`  <dbl> 2.65617, 2.64468, 2.63625, 2.73117, 2.68130, 2.60230,…
-## $ `s(year_fac).3`  <dbl> 3.07788, 3.10003, 3.07758, 3.11288, 3.08044, 3.20094,…
-## $ `s(year_fac).4`  <dbl> 3.21960, 3.22782, 3.26233, 3.30094, 3.27737, 3.28554,…
-## $ `s(year_fac).5`  <dbl> 2.11108, 2.07728, 1.98290, 2.20085, 2.00719, 2.09721,…
-## $ `s(year_fac).6`  <dbl> 1.72869, 1.69724, 1.63484, 1.85265, 1.60296, 1.99641,…
-## $ `s(year_fac).7`  <dbl> 2.20549, 2.20062, 1.90837, 2.18498, 2.06963, 1.89268,…
-## $ `s(year_fac).8`  <dbl> 2.91909, 2.86867, 2.94035, 2.90241, 3.03399, 2.94243,…
-## $ `s(year_fac).9`  <dbl> 3.25630, 3.18218, 3.14735, 3.15474, 3.31125, 3.21197,…
-## $ `s(year_fac).10` <dbl> 2.70871, 2.69267, 2.83379, 2.65286, 2.79554, 2.73977,…
-## $ `s(year_fac).11` <dbl> 3.01297, 2.99048, 2.99582, 2.96736, 3.21242, 3.01926,…
-## $ `s(year_fac).12` <dbl> 3.29335, 3.28567, 3.27609, 3.31069, 3.13586, 3.23824,…
-## $ `s(year_fac).13` <dbl> 2.29235, 2.27421, 2.14434, 2.33456, 2.25957, 2.43291,…
-## $ `s(year_fac).14` <dbl> 2.64613, 2.66115, 2.56605, 2.69002, 2.60428, 2.62748,…
-## $ `s(year_fac).15` <dbl> 2.15095, 2.11449, 2.22458, 2.08566, 2.09324, 2.08875,…
-## $ `s(year_fac).16` <dbl> 1.94051, 1.96340, 2.27971, 1.81916, 2.25314, 2.06480,…
-## $ `s(year_fac).17` <dbl> 1.175650, 1.142240, 0.511516, 0.132152, 0.726240, 0.9…
+## $ `s(year_fac).1` <dbl> 2.10719, 1.84148, 2.09031, 1.99645, 1.89519, 2.32681,… +## $ `s(year_fac).2` <dbl> 2.64680, 2.60113, 2.60112, 2.67128, 2.72142, 2.77772,… +## $ `s(year_fac).3` <dbl> 3.06806, 3.09942, 3.10396, 3.05559, 3.19458, 3.04722,… +## $ `s(year_fac).4` <dbl> 3.24583, 3.27424, 3.28145, 3.28802, 3.34745, 3.16518,… +## $ `s(year_fac).5` <dbl> 2.13682, 2.05123, 2.24092, 2.04121, 2.04692, 2.15410,… +## $ `s(year_fac).6` <dbl> 1.69868, 1.62389, 1.82894, 1.61801, 1.45469, 1.89638,… +## $ `s(year_fac).7` <dbl> 2.04330, 1.99559, 1.85308, 2.06643, 1.83595, 2.05449,… +## $ `s(year_fac).8` <dbl> 3.04806, 2.96831, 3.01446, 2.87108, 2.83922, 3.07323,… +## $ `s(year_fac).9` <dbl> 3.25574, 3.21967, 3.18432, 3.28309, 3.26028, 3.20790,… +## $ `s(year_fac).10` <dbl> 2.87515, 2.70384, 2.87162, 2.70043, 2.73320, 2.84259,… +## $ `s(year_fac).11` <dbl> 3.16056, 2.96399, 3.02085, 3.10226, 3.04427, 3.01406,… +## $ `s(year_fac).12` <dbl> 3.21950, 3.23579, 3.17361, 3.22893, 3.11542, 3.25504,… +## $ `s(year_fac).13` <dbl> 2.17382, 2.33856, 2.23563, 2.30508, 2.00185, 2.37041,… +## $ `s(year_fac).14` <dbl> 2.64984, 2.64589, 2.63238, 2.65891, 2.65566, 2.58927,… +## $ `s(year_fac).15` <dbl> 2.21972, 2.28461, 2.01943, 2.22111, 1.88685, 2.01941,… +## $ `s(year_fac).16` <dbl> 2.22980, 2.13542, 2.09359, 2.06566, 2.23790, 2.25561,… +## $ `s(year_fac).17` <dbl> 0.308868, 0.815146, 0.503097, 1.198730, 1.326820, 1.8…

With any model fitted in mvgam, the underlying Stan code can be viewed using the code function:

@@ -840,7 +856,7 @@

distributions and diagnostics (see ?mvgam::mcmc_plot.mvgam for details):

-mcmc_plot(object = model1,
+mcmc_plot(object = model1,
           variable = 'betas',
           type = 'areas')

@@ -878,7 +894,7 @@

## $ test_observations : NULL ## $ test_times : NULL ## $ hindcasts :List of 1 -## ..$ PP: num [1:2000, 1:199] 8 9 8 6 6 8 15 6 5 3 ... +## ..$ PP: num [1:2000, 1:199] 8 8 10 12 8 20 3 7 10 7 ... ## .. ..- attr(*, "dimnames")=List of 2 ## .. .. ..$ : NULL ## .. .. ..$ : chr [1:199] "ypred[1,1]" "ypred[2,1]" "ypred[3,1]" "ypred[4,1]" ... @@ -891,7 +907,7 @@

 hc <- hindcast(model1, type = 'link')
 range(hc$hindcasts$PP)
-
## [1] -2.04395  3.45997
+
## [1] -2.17311  3.46006

Objects of class mvgam_forecast have an associated plot function as well:

@@ -929,7 +945,7 @@ 

Automatic forecasting for new datamodel_data %>% dplyr::filter(time > 160) -> data_test

-model1b <- mvgam(count ~ s(year_fac, bs = 're') - 1,
+model1b <- mvgam(count ~ s(year_fac, bs = 're') - 1,
                 family = poisson(),
                 data = data_train,
                 newdata = data_test)
@@ -943,14 +959,14 @@

Automatic forecasting for new dataplot(model1b, type = 'forecast')

## Out of sample DRPS:
-## [1] 182.1879
+## [1] 183.5703

We can also view the test data in the forecast plot to see that the predictions do not capture the temporal variation in the test set

 plot(model1b, type = 'forecast', newdata = data_test)

## Out of sample DRPS:
-## [1] 182.1879
+## [1] 183.5703

As with the hindcast function, we can use the forecast function to automatically extract the posterior distributions for these predictions. This also returns an object of @@ -978,12 +994,12 @@

Automatic forecasting for new data## ..$ PP: int [1:39] NA 0 0 10 3 14 18 NA 28 46 ... ## $ test_times : num [1:39] 161 162 163 164 165 166 167 168 169 170 ... ## $ hindcasts :List of 1 -## ..$ PP: num [1:2000, 1:160] 12 8 8 13 4 7 3 6 11 10 ... +## ..$ PP: num [1:2000, 1:160] 7 8 7 5 7 7 4 10 12 12 ... ## .. ..- attr(*, "dimnames")=List of 2 ## .. .. ..$ : NULL ## .. .. ..$ : chr [1:160] "ypred[1,1]" "ypred[2,1]" "ypred[3,1]" "ypred[4,1]" ... ## $ forecasts :List of 1 -## ..$ PP: num [1:2000, 1:39] 5 3 8 8 12 5 11 9 4 9 ... +## ..$ PP: num [1:2000, 1:39] 9 13 9 9 12 12 6 10 5 6 ... ## .. ..- attr(*, "dimnames")=List of 2 ## .. .. ..$ : NULL ## .. .. ..$ : chr [1:39] "ypred[161,1]" "ypred[162,1]" "ypred[163,1]" "ypred[164,1]" ... @@ -998,7 +1014,7 @@

Adding predictors as “fixed” eff Here, we will update the model from above by including a parametric (fixed) effect of ndvi as a linear predictor:

-model2 <- mvgam(count ~ s(year_fac, bs = 're') + 
+model2 <- mvgam(count ~ s(year_fac, bs = 're') + 
                   ndvi - 1,
                 family = poisson(),
                 data = data_train,
@@ -1040,33 +1056,33 @@ 

Adding predictors as “fixed” eff ## ## GAM coefficient (beta) estimates: ## 2.5% 50% 97.5% Rhat n_eff -## ndvi 0.32 0.39 0.46 1 1973 -## s(year_fac).1 1.10 1.40 1.70 1 2799 -## s(year_fac).2 1.80 2.00 2.20 1 2501 -## s(year_fac).3 2.20 2.40 2.60 1 2477 -## s(year_fac).4 2.30 2.50 2.70 1 2200 -## s(year_fac).5 1.20 1.40 1.60 1 2541 -## s(year_fac).6 1.00 1.30 1.50 1 2642 -## s(year_fac).7 1.10 1.40 1.70 1 2736 -## s(year_fac).8 2.10 2.30 2.50 1 2420 -## s(year_fac).9 2.70 2.90 3.00 1 2240 -## s(year_fac).10 2.00 2.20 2.40 1 2436 -## s(year_fac).11 2.30 2.40 2.60 1 2343 -## s(year_fac).12 2.50 2.70 2.80 1 2105 -## s(year_fac).13 1.40 1.60 1.90 1 2678 -## s(year_fac).14 0.68 1.90 3.20 1 1336 -## s(year_fac).15 0.54 2.00 3.20 1 1768 -## s(year_fac).16 0.67 2.00 3.20 1 1611 -## s(year_fac).17 0.68 2.00 3.20 1 1529 +## ndvi 0.32 0.39 0.46 1 1523 +## s(year_fac).1 1.10 1.40 1.70 1 2409 +## s(year_fac).2 1.80 2.00 2.20 1 1936 +## s(year_fac).3 2.20 2.40 2.60 1 1960 +## s(year_fac).4 2.30 2.50 2.70 1 1847 +## s(year_fac).5 1.20 1.40 1.60 1 2065 +## s(year_fac).6 1.00 1.30 1.50 1 2404 +## s(year_fac).7 1.20 1.40 1.70 1 2146 +## s(year_fac).8 2.10 2.30 2.40 1 1908 +## s(year_fac).9 2.70 2.90 3.00 1 2093 +## s(year_fac).10 2.00 2.20 2.40 1 2219 +## s(year_fac).11 2.30 2.40 2.60 1 1881 +## s(year_fac).12 2.50 2.70 2.80 1 2071 +## s(year_fac).13 1.40 1.60 1.80 1 1804 +## s(year_fac).14 0.59 2.00 3.40 1 1265 +## s(year_fac).15 0.61 2.00 3.40 1 1321 +## s(year_fac).16 0.74 2.00 3.40 1 1491 +## s(year_fac).17 0.66 2.00 3.20 1 1394 ## ## GAM group-level estimates: ## 2.5% 50% 97.5% Rhat n_eff -## mean(s(year_fac)) 1.60 2.0 2.30 1.01 318 -## sd(s(year_fac)) 0.41 0.6 0.94 1.02 343 +## mean(s(year_fac)) 1.6 2.0 2.3 1.01 359 +## sd(s(year_fac)) 0.4 0.6 1.0 1.00 478 ## ## Approximate significance of GAM observation smooths: ## edf Chi.sq p-value -## s(year_fac) 10.8 2921 <2e-16 *** +## s(year_fac) 10.8 2737 <2e-16 *** ## --- ## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## @@ -1077,7 +1093,7 @@

Adding predictors as “fixed” eff ## 0 of 2000 iterations saturated the maximum tree depth of 12 (0%) ## E-FMI indicated no pathological behavior ## -## Samples were drawn using NUTS(diag_e) at Tue Mar 12 2:00:50 PM 2024. +## Samples were drawn using NUTS(diag_e) at Tue Mar 19 8:29:50 PM 2024. ## For each parameter, n_eff is a crude measure of effective sample size, ## and Rhat is the potential scale reduction factor on split MCMC chains ## (at convergence, Rhat = 1)

@@ -1088,24 +1104,24 @@

Adding predictors as “fixed” eff
 coef(model2)
##                     2.5%      50%     97.5% Rhat n_eff
-## ndvi           0.3192765 0.390068 0.4565132    1  1973
-## s(year_fac).1  1.1297857 1.401075 1.6601210    1  2799
-## s(year_fac).2  1.8005140 2.002200 2.2031165    1  2501
-## s(year_fac).3  2.1920865 2.377540 2.5795502    1  2477
-## s(year_fac).4  2.3215133 2.507255 2.6850642    1  2200
-## s(year_fac).5  1.1973650 1.424105 1.6422465    1  2541
-## s(year_fac).6  1.0088363 1.273885 1.5184867    1  2642
-## s(year_fac).7  1.1395780 1.413890 1.6757230    1  2736
-## s(year_fac).8  2.0815710 2.273310 2.4560483    1  2420
-## s(year_fac).9  2.7174177 2.856920 2.9835225    1  2240
-## s(year_fac).10 1.9838457 2.184940 2.3871055    1  2436
-## s(year_fac).11 2.2670628 2.437260 2.6049930    1  2343
-## s(year_fac).12 2.5429085 2.690940 2.8465860    1  2105
-## s(year_fac).13 1.3885838 1.618830 1.8522713    1  2678
-## s(year_fac).14 0.6765426 1.941810 3.2150647    1  1336
-## s(year_fac).15 0.5352354 2.000345 3.1917455    1  1768
-## s(year_fac).16 0.6744930 1.988625 3.2106910    1  1611
-## s(year_fac).17 0.6755871 1.958040 3.1927537    1  1529
+## ndvi 0.3232597 0.390940 0.4554195 1 1523 +## s(year_fac).1 1.1243888 1.404795 1.6537325 1 2409 +## s(year_fac).2 1.8070920 1.998580 2.1898733 1 1936 +## s(year_fac).3 2.1759217 2.377300 2.5689775 1 1960 +## s(year_fac).4 2.3105295 2.503245 2.6947637 1 1847 +## s(year_fac).5 1.1937385 1.419495 1.6404250 1 2065 +## s(year_fac).6 1.0069897 1.271995 1.5148825 1 2404 +## s(year_fac).7 1.1534555 1.414145 1.6755780 1 2146 +## s(year_fac).8 2.0805290 2.268940 2.4431120 1 1908 +## s(year_fac).9 2.7100590 2.854620 2.9904657 1 2093 +## s(year_fac).10 1.9802680 2.185950 2.3861060 1 2219 +## s(year_fac).11 2.2623455 2.435425 2.6061592 1 1881 +## s(year_fac).12 2.5348080 2.691670 2.8346482 1 2071 +## s(year_fac).13 1.3660082 1.617220 1.8496322 1 1804 +## s(year_fac).14 0.5911541 1.972980 3.3520772 1 1265 +## s(year_fac).15 0.6130088 1.973655 3.3562612 1 1321 +## s(year_fac).16 0.7371668 1.992295 3.4006835 1 1491 +## s(year_fac).17 0.6633022 1.968965 3.2350522 1 1394

Look at the estimated effect of ndvi using plot.mvgam with type = 'pterms'

@@ -1121,24 +1137,24 @@ 

Adding predictors as “fixed” eff dplyr::glimpse(beta_post)

## Rows: 2,000
 ## Columns: 18
-## $ ndvi             <dbl> 0.384510, 0.399786, 0.392306, 0.349502, 0.422103, 0.4…
-## $ `s(year_fac).1`  <dbl> 1.28841, 1.51449, 1.25610, 1.48108, 1.36640, 1.28543,…
-## $ `s(year_fac).2`  <dbl> 1.88972, 2.10276, 2.01286, 1.97798, 1.86941, 1.92906,…
-## $ `s(year_fac).3`  <dbl> 2.31917, 2.44870, 2.31533, 2.47928, 2.35820, 2.24181,…
-## $ `s(year_fac).4`  <dbl> 2.52986, 2.49321, 2.54039, 2.64189, 2.35362, 2.42710,…
-## $ `s(year_fac).5`  <dbl> 1.35578, 1.51313, 1.33385, 1.39870, 1.35560, 1.29213,…
-## $ `s(year_fac).6`  <dbl> 1.311920, 1.386790, 1.239250, 1.148290, 1.233900, 1.1…
-## $ `s(year_fac).7`  <dbl> 1.52013, 1.09664, 1.13217, 1.59548, 1.43845, 1.20762,…
-## $ `s(year_fac).8`  <dbl> 2.27497, 2.27513, 2.18857, 2.36107, 2.20560, 2.03529,…
-## $ `s(year_fac).9`  <dbl> 2.86233, 2.82828, 2.96744, 3.00598, 2.93260, 2.84276,…
-## $ `s(year_fac).10` <dbl> 2.06303, 2.21389, 2.17205, 2.20981, 2.09964, 2.09335,…
-## $ `s(year_fac).11` <dbl> 2.44185, 2.45756, 2.40478, 2.59571, 2.31021, 2.34485,…
-## $ `s(year_fac).12` <dbl> 2.62680, 2.72703, 2.54081, 2.63102, 2.65908, 2.52744,…
-## $ `s(year_fac).13` <dbl> 1.76098, 1.67823, 1.48126, 1.67847, 1.52566, 1.51016,…
-## $ `s(year_fac).14` <dbl> 3.678590, 2.295410, 1.691400, 1.657580, 2.371780, 1.0…
-## $ `s(year_fac).15` <dbl> 1.64002, 1.65026, 1.44489, 0.89341, 2.02970, 2.42390,…
-## $ `s(year_fac).16` <dbl> 1.707470, 2.109060, 2.077640, 2.213590, 3.446480, 2.3…
-## $ `s(year_fac).17` <dbl> 2.13327, 1.18055, 1.40620, 1.41307, 2.22927, 1.95107,…
+## $ ndvi <dbl> 0.369188, 0.358142, 0.380097, 0.388986, 0.411054, 0.3… +## $ `s(year_fac).1` <dbl> 1.46468, 1.33541, 1.53760, 1.23095, 1.39416, 1.43930,… +## $ `s(year_fac).2` <dbl> 1.98631, 2.01659, 2.04716, 1.98244, 1.94622, 2.06119,… +## $ `s(year_fac).3` <dbl> 2.37212, 2.47199, 2.44498, 2.39509, 2.29522, 2.39798,… +## $ `s(year_fac).4` <dbl> 2.66554, 2.38987, 2.63843, 2.53246, 2.44160, 2.61544,… +## $ `s(year_fac).5` <dbl> 1.44484, 1.46517, 1.39152, 1.55978, 1.53860, 1.54923,… +## $ `s(year_fac).6` <dbl> 1.269120, 1.381480, 1.182820, 1.339260, 1.357210, 1.3… +## $ `s(year_fac).7` <dbl> 1.37845, 1.56485, 1.45465, 1.52910, 1.55788, 1.62370,… +## $ `s(year_fac).8` <dbl> 2.18331, 2.43159, 2.24811, 2.22532, 2.18192, 2.33797,… +## $ `s(year_fac).9` <dbl> 2.91719, 2.85339, 2.93523, 2.82163, 2.88262, 2.89877,… +## $ `s(year_fac).10` <dbl> 2.13800, 2.27441, 2.12414, 2.28971, 2.25759, 2.28692,… +## $ `s(year_fac).11` <dbl> 2.35005, 2.57266, 2.41406, 2.28769, 2.36534, 2.51464,… +## $ `s(year_fac).12` <dbl> 2.72567, 2.80190, 2.65140, 2.80932, 2.63651, 2.61162,… +## $ `s(year_fac).13` <dbl> 1.69251, 1.61900, 1.51345, 1.68852, 1.43159, 1.59473,… +## $ `s(year_fac).14` <dbl> 2.383070, 0.591868, 1.237180, 2.221190, 2.692930, 1.5… +## $ `s(year_fac).15` <dbl> 2.426070, 1.543630, 1.986580, 2.547520, 1.977620, 2.2… +## $ `s(year_fac).16` <dbl> 0.644001, 1.734400, 1.530610, 2.579430, 1.377440, 1.5… +## $ `s(year_fac).17` <dbl> 1.641660, 2.281480, 2.213900, 1.755700, 0.862163, 1.8…

The posterior distribution for the effect of ndvi is stored in the ndvi column. A quick histogram confirms our inference that log(counts) respond positively to increases @@ -1169,10 +1185,10 @@

scenario-based predictions, conditional and marginal effects, all on the outcome scale. Here we will use the plot_predictions function from marginaleffects to inspect the conditional -effect of ndvi (use ?plot_predictions for +effect of ndvi (use ?plot_predictions for guidance on how to modify these plots):

-plot_predictions(model2, 
+plot_predictions(model2, 
                  condition = "ndvi",
                  # include the observed count values
                  # as points, and show rugs for the observed
@@ -1186,7 +1202,7 @@ 

plots for main effects. This will likely be your go-to function for quickly understanding patterns from fitted mvgam models

-plot(conditional_effects(model2), ask = FALSE)
+plot(conditional_effects(model2), ask = FALSE)

@@ -1224,7 +1240,7 @@

Adding predictors as smooths
-model3 <- mvgam(count ~ s(time, bs = 'bs', k = 15) + 
+model3 <- mvgam(count ~ s(time, bs = 'bs', k = 15) + 
                   ndvi,
                 family = poisson(),
                 data = data_train,
@@ -1274,27 +1290,27 @@ 

Adding predictors as smooths## ## ## GAM coefficient (beta) estimates: -## 2.5% 50% 97.5% Rhat n_eff -## (Intercept) 2.00 2.10 2.2000 1.00 1045 -## ndvi 0.26 0.33 0.4000 1.00 1056 -## s(time).1 -2.20 -1.10 -0.0021 1.00 475 -## s(time).2 0.39 1.30 2.3000 1.00 414 -## s(time).3 -0.62 0.45 1.5000 1.00 362 -## s(time).4 1.50 2.50 3.5000 1.00 364 -## s(time).5 -1.30 -0.24 0.7600 1.00 375 -## s(time).6 -0.65 0.38 1.4000 1.00 403 -## s(time).7 -1.60 -0.53 0.4700 1.01 405 -## s(time).8 0.50 1.50 2.5000 1.00 356 -## s(time).9 1.10 2.10 3.1000 1.01 358 -## s(time).10 -0.39 0.55 1.6000 1.00 363 -## s(time).11 0.75 1.70 2.8000 1.00 355 -## s(time).12 0.59 1.50 2.4000 1.00 379 -## s(time).13 -1.20 -0.32 0.6300 1.00 441 -## s(time).14 -7.40 -4.10 -1.0000 1.01 398 +## 2.5% 50% 97.5% Rhat n_eff +## (Intercept) 2.00 2.10 2.200 1.00 1123 +## ndvi 0.26 0.33 0.390 1.00 1157 +## s(time).1 -2.20 -1.10 -0.074 1.01 515 +## s(time).2 0.37 1.30 2.300 1.01 397 +## s(time).3 -0.54 0.46 1.500 1.01 368 +## s(time).4 1.50 2.50 3.500 1.01 356 +## s(time).5 -1.20 -0.21 0.830 1.01 368 +## s(time).6 -0.66 0.38 1.500 1.01 384 +## s(time).7 -1.70 -0.52 0.480 1.01 408 +## s(time).8 0.52 1.50 2.500 1.01 355 +## s(time).9 1.10 2.10 3.100 1.01 357 +## s(time).10 -0.42 0.56 1.600 1.01 365 +## s(time).11 0.75 1.70 2.800 1.01 348 +## s(time).12 0.62 1.50 2.500 1.01 377 +## s(time).13 -1.20 -0.30 0.600 1.01 433 +## s(time).14 -7.70 -4.20 -1.000 1.01 420 ## ## Approximate significance of GAM observation smooths: ## edf Chi.sq p-value -## s(time) 9.54 771 <2e-16 *** +## s(time) 9.36 637 <2e-16 *** ## --- ## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## @@ -1305,7 +1321,7 @@

Adding predictors as smooths## 0 of 2000 iterations saturated the maximum tree depth of 12 (0%) ## E-FMI indicated no pathological behavior ## -## Samples were drawn using NUTS(diag_e) at Tue Mar 12 2:01:29 PM 2024. +## Samples were drawn using NUTS(diag_e) at Tue Mar 19 8:31:14 PM 2024. ## For each parameter, n_eff is a crude measure of effective sample size, ## and Rhat is the potential scale reduction factor on split MCMC chains ## (at convergence, Rhat = 1)

@@ -1346,11 +1362,11 @@

Conditional effects
-plot(conditional_effects(model3), ask = FALSE)
+plot(conditional_effects(model3), ask = FALSE)

Or on the link scale:

-plot(conditional_effects(model3, type = 'link'), ask = FALSE)
+plot(conditional_effects(model3, type = 'link'), ask = FALSE)

Inspect the underlying Stan code to gain some idea of how the spline is being penalized:

@@ -1432,7 +1448,7 @@

Latent dynamics in mvgamplot(model3, type = 'forecast', newdata = data_test)

## Out of sample DRPS:
-## [1] 286.148
+## [1] 287.0294

Why is this happening? The forecasts are driven almost entirely by variation in the temporal spline, which is extrapolating linearly forever beyond the edge of the training data. Any slight @@ -1465,7 +1481,7 @@

Latent dynamics in mvgammvgam can include combinations of smooths and dynamic components:

-model4 <- mvgam(count ~ s(ndvi, k = 6),
+model4 <- mvgam(count ~ s(ndvi, k = 6),
                 family = poisson(),
                 data = data_train,
                 newdata = data_test,
@@ -1515,39 +1531,39 @@ 

Latent dynamics in mvgam## ## GAM coefficient (beta) estimates: ## 2.5% 50% 97.5% Rhat n_eff -## (Intercept) 1.200 1.90000 2.500 1.07 74 -## s(ndvi).1 -0.087 0.01300 0.200 1.00 400 -## s(ndvi).2 -0.140 0.02000 0.330 1.01 358 -## s(ndvi).3 -0.056 -0.00094 0.049 1.02 469 -## s(ndvi).4 -0.250 0.13000 1.300 1.01 252 -## s(ndvi).5 -0.092 0.15000 0.360 1.00 467 +## (Intercept) 0.800 1.90000 2.600 1.08 73 +## s(ndvi).1 -0.075 0.00870 0.150 1.00 740 +## s(ndvi).2 -0.130 0.01100 0.220 1.01 525 +## s(ndvi).3 -0.046 -0.00099 0.045 1.01 660 +## s(ndvi).4 -0.250 0.11000 1.000 1.01 325 +## s(ndvi).5 -0.067 0.15000 0.360 1.00 698 ## ## Approximate significance of GAM observation smooths: -## edf Chi.sq p-value -## s(ndvi) 0.88 95.3 0.065 . +## edf Chi.sq p-value +## s(ndvi) 0.922 88 0.067 . ## --- ## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## ## Latent trend parameter AR estimates: ## 2.5% 50% 97.5% Rhat n_eff -## ar1[1] 0.69 0.81 0.92 1.01 340 -## sigma[1] 0.68 0.80 0.96 1.01 434 +## ar1[1] 0.70 0.81 0.93 1.01 315 +## sigma[1] 0.68 0.81 0.97 1.00 410 ## ## Stan MCMC diagnostics: ## n_eff / iter looks reasonable for all parameters -## Rhats above 1.05 found for 33 parameters +## Rhats above 1.05 found for 76 parameters ## *Diagnose further to investigate why the chains have not mixed ## 0 of 2000 iterations ended with a divergence (0%) ## 0 of 2000 iterations saturated the maximum tree depth of 12 (0%) ## E-FMI indicated no pathological behavior ## -## Samples were drawn using NUTS(diag_e) at Tue Mar 12 2:02:41 PM 2024. +## Samples were drawn using NUTS(diag_e) at Tue Mar 19 8:33:11 PM 2024. ## For each parameter, n_eff is a crude measure of effective sample size, ## and Rhat is the potential scale reduction factor on split MCMC chains ## (at convergence, Rhat = 1)

View conditional smooths for the ndvi effect:

-plot_predictions(model4, 
+plot_predictions(model4, 
                  condition = "ndvi",
                  points = 0.5, rug = TRUE)

@@ -1556,8 +1572,8 @@

Latent dynamics in mvgam
 plot(model4, type = 'forecast', newdata = data_test)

-
## Out of sample CRPS:
-## [1] 150.9749
+
## Out of sample DRPS:
+## [1] 154.869

The trend is evolving as an AR1 process, which we can also view:

 plot(model4, type = 'trend', newdata = data_test)
@@ -1566,13 +1582,13 @@

Latent dynamics in mvgamloo package (a higher value is preferred for this metric):

-loo_compare(model3, model4)
+loo_compare(model3, model4)
## Warning: Some Pareto k diagnostic values are too high. See help('pareto-k-diagnostic') for details.
 
 ## Warning: Some Pareto k diagnostic values are too high. See help('pareto-k-diagnostic') for details.
##        elpd_diff se_diff
 ## model4    0.0       0.0 
-## model3 -562.9      67.3
+## model3 -556.9 66.0

The higher estimated log predictive density (ELPD) value for the dynamic model suggests it provides a better fit to the in-sample data.

@@ -1587,7 +1603,7 @@

Latent dynamics in mvgamscore_mod3 <- score(fc_mod3, score = 'drps') score_mod4 <- score(fc_mod4, score = 'drps') sum(score_mod4$PP$score, na.rm = TRUE) - sum(score_mod3$PP$score, na.rm = TRUE) -
## [1] -135.1958
+
## [1] -132.1604

A strongly negative value here suggests the score for the dynamic model (model 4) is much smaller than the score for the model with a smooth function of time (model 3)

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    1. +bernoulli() for binary data
    2. +
    3. poisson() for count data
    4. nb() for overdispersed count data
    5. -nmix() for count data with imperfect detection
    6. +binomial() for count data with known number of trials +
    7. +nmix() for count data with imperfect detection (unknown number of trials)
    8. tweedie() for overdispersed count data
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b/docs/reference/forecast.mvgam.html index 1e9617d3..6e3a707b 100644 --- a/docs/reference/forecast.mvgam.html +++ b/docs/reference/forecast.mvgam.html @@ -63,15 +63,7 @@

      Usage
      forecast(object, ...)
       
       # S3 method for mvgam
      -forecast(
      -  object,
      -  newdata,
      -  data_test,
      -  series = "all",
      -  n_cores = 1,
      -  type = "response",
      -  ...
      -)
      +forecast(object, newdata, data_test, n_cores = 1, type = "response", ...)
      @@ -100,13 +92,6 @@

      ArgumentsUsage

      Arguments

      formula

      A character string specifying the GAM observation model formula. These are exactly like the formula -for a GLM except that smooth terms, s(), te(), ti(), t2(), as well as time-varying +for a GLM except that smooth terms, s(), te(), ti(), t2(), as well as time-varying dynamic() terms, can be added to the right hand side to specify that the linear predictor depends on smooth functions of predictors (or linear functionals of these). In nmix() family models, the formula is used to @@ -119,18 +119,24 @@

      Argumentsnb() for count data

      -
    10. poisson() for count data

    11. -
    12. gaussian() for real-valued data

    13. -
    14. betar() for proportional data on (0,1)

    15. -
    16. lognormal() for non-negative real-valued data

    17. +families are:

      • gaussian() for real-valued data

      • +
      • betar() for proportional data on (0,1)

      • +
      • lognormal() for non-negative real-valued data

      • student_t() for real-valued data

      • Gamma() for non-negative real-valued data

      • -
      • nmix() for count data with imperfect detection modeled via a -State-Space N-Mixture model. The latent states are Poisson, capturing the 'true' latent -abundance, while the observation process is Binomial to account for imperfect detection. +

      • bernoulli() for binary data

      • +
      • nb() for count data

      • +
      • poisson() for count data

      • +
      • binomial() for count data with imperfect detection when the number of trials is known; +note that the cbind() function must be used to bind the discrete observations and the number +of trials

      • +
      • nmix() for count data with imperfect detection when the number of trials +is unknown and should be modeled via a State-Space N-Mixture model. +The latent states are Poisson, capturing the 'true' latent +abundance, while the observation process is Binomial to account for +imperfect detection. See mvgam_families for an example of how to use this family

      • -

      Note that only nb() and poisson() are available if using JAGS as the backend. +

      Note that only nb() and poisson() are available if using JAGS as the backend. Default is poisson(). See mvgam_families for more details

      @@ -234,8 +240,8 @@

      Examples # Get a model file that uses default mvgam priors for inspection (not always necessary, # but this can be useful for testing whether your updated priors are written correctly) -mod_default <- mvgam(y ~ s(series, bs = 're') + - s(season, bs = 'cc') - 1, +mod_default <- mvgam(y ~ s(series, bs = 're') + + s(season, bs = 'cc') - 1, family = 'nb', data = dat$data_train, trend_model = 'AR2', @@ -379,8 +385,8 @@

      Examples#> # Look at which priors can be updated in mvgam -test_priors <- get_mvgam_priors(y ~ s(series, bs = 're') + - s(season, bs = 'cc') - 1, +test_priors <- get_mvgam_priors(y ~ s(series, bs = 're') + + s(season, bs = 'cc') - 1, family = 'nb', data = dat$data_train, trend_model = 'AR2') @@ -402,13 +408,13 @@

      Examples#> 6 trend sd sigma ~ student_t(3, 0, 2.5); #> 7 inverse of NB dispsersion phi_inv ~ student_t(3, 0, 0.1); #> example_change new_lowerbound new_upperbound -#> 1 lambda ~ exponential(0.18); NA NA -#> 2 mu_raw ~ normal(0.23, 0.71); NA NA -#> 3 sigma_raw ~ exponential(0.79); NA NA -#> 4 ar1 ~ normal(-0.57, 0.81); NA NA -#> 5 ar2 ~ normal(0.19, 0.65); NA NA -#> 6 sigma ~ exponential(0.12); NA NA -#> 7 phi_inv ~ normal(-0.61, 0.11); NA NA +#> 1 lambda ~ exponential(0.03); NA NA +#> 2 mu_raw ~ normal(0.55, 0.15); NA NA +#> 3 sigma_raw ~ exponential(0.04); NA NA +#> 4 ar1 ~ normal(0.48, 0.63); NA NA +#> 5 ar2 ~ normal(0.37, 0.76); NA NA +#> 6 sigma ~ exponential(0.47); NA NA +#> 7 phi_inv ~ normal(0.32, 0.1); NA NA # Make a few changes; first, change the population mean for the series-level # random intercepts @@ -419,8 +425,8 @@

      Examples # Check that the changes are made to the model file without any warnings by # setting 'run_model = FALSE' -mod <- mvgam(y ~ s(series, bs = 're') + - s(season, bs = 'cc') - 1, +mod <- mvgam(y ~ s(series, bs = 're') + + s(season, bs = 'cc') - 1, family = 'nb', data = dat$data_train, trend_model = 'AR2', @@ -568,17 +574,17 @@

      Examples# The same can be done using brms functions; here we will also change the ar1 prior # and put some bounds on the ar coefficients to enforce stationarity; we set the # prior using the 'class' argument in all brms prior functions -brmsprior <- c(prior(normal(0.2, 0.5), class = mu_raw), - prior(normal(0, 0.25), class = ar1, lb = -1, ub = 1), - prior(normal(0, 0.25), class = ar2, lb = -1, ub = 1)) +brmsprior <- c(prior(normal(0.2, 0.5), class = mu_raw), + prior(normal(0, 0.25), class = ar1, lb = -1, ub = 1), + prior(normal(0, 0.25), class = ar2, lb = -1, ub = 1)) brmsprior #> prior class coef group resp dpar nlpar lb ub source #> normal(0.2, 0.5) mu_raw <NA> <NA> user #> normal(0, 0.25) ar1 -1 1 user #> normal(0, 0.25) ar2 -1 1 user -mod <- mvgam(y ~ s(series, bs = 're') + - s(season, bs = 'cc') - 1, +mod <- mvgam(y ~ s(series, bs = 're') + + s(season, bs = 'cc') - 1, family = 'nb', data = dat$data_train, trend_model = 'AR2', @@ -722,8 +728,8 @@

      Examples # Look at what is returned when an incorrect spelling is used test_priors$prior[5] <- 'ar2_bananas ~ normal(0, 0.25);' -mod <- mvgam(y ~ s(series, bs = 're') + - s(season, bs = 'cc') - 1, +mod <- mvgam(y ~ s(series, bs = 're') + + s(season, bs = 'cc') - 1, family = 'nb', data = dat$data_train, trend_model = 'AR2', @@ -872,7 +878,7 @@

      Examples# Add a fake covariate simdat$data_train$cov <- rnorm(NROW(simdat$data_train)) -priors <- get_mvgam_priors(y ~ cov + s(season), +priors <- get_mvgam_priors(y ~ cov + s(season), data = simdat$data_train, family = poisson(), trend_model = 'AR1') @@ -881,7 +887,7 @@

      Examplespriors$prior[1] <- '(Intercept) ~ normal(0, 1);' priors$prior[2] <- 'cov ~ normal(0, 0.1);' -mod2 <- mvgam(y ~ cov + s(season), +mod2 <- mvgam(y ~ cov + s(season), data = simdat$data_train, trend_model = 'AR1', family = poisson(), @@ -982,14 +988,14 @@

      Examples # Likewise using brms utilities (note that you can use # Intercept rather than `(Intercept)`) to change priors on the intercept -brmsprior <- c(prior(normal(0.2, 0.5), class = cov), - prior(normal(0, 0.25), class = Intercept)) +brmsprior <- c(prior(normal(0.2, 0.5), class = cov), + prior(normal(0, 0.25), class = Intercept)) brmsprior #> prior class coef group resp dpar nlpar lb ub source #> normal(0.2, 0.5) cov <NA> <NA> user #> normal(0, 0.25) Intercept <NA> <NA> user -mod2 <- mvgam(y ~ cov + s(season), +mod2 <- mvgam(y ~ cov + s(season), data = simdat$data_train, trend_model = 'AR1', family = poisson(), @@ -1094,8 +1100,8 @@

      Examplesdat <- mgcv::gamSim(1, n = 200, scale = 2) #> Gu & Wahba 4 term additive model dat$time <- 1:NROW(dat) -mod <- mvgam(y ~ x0 + x1 + s(x2) + s(x3), - priors = prior(normal(0, 0.75), class = 'b'), +mod <- mvgam(y ~ x0 + x1 + s(x2) + s(x3), + priors = prior(normal(0, 0.75), class = 'b'), data = dat, family = gaussian(), run_model = FALSE) diff --git a/docs/reference/hindcast.mvgam.html b/docs/reference/hindcast.mvgam.html index 49e324bb..3719511c 100644 --- a/docs/reference/hindcast.mvgam.html +++ b/docs/reference/hindcast.mvgam.html @@ -63,7 +63,7 @@

      Usage
      hindcast(object, ...)
       
       # S3 method for mvgam
      -hindcast(object, series = "all", type = "response", ...)
      +hindcast(object, type = "response", ...)

      @@ -76,13 +76,6 @@

      ArgumentsDetailsExamples

      if (FALSE) {
       simdat <- sim_mvgam(n_series = 3, trend_model = 'AR1')
      -mod <- mvgam(y ~ s(season, bs = 'cc'),
      +mod <- mvgam(y ~ s(season, bs = 'cc'),
                   trend_model = 'AR1',
                   data = simdat$data_train)
       
      diff --git a/docs/reference/index.html b/docs/reference/index.html
      index 0ad03cd1..7490b409 100644
      --- a/docs/reference/index.html
      +++ b/docs/reference/index.html
      @@ -358,7 +358,7 @@ 

      All functionsseries_to_mvgam()
      This function converts univariate or multivariate time series (xts or ts objects) -to the format necessary for mvgam
      +to the format necessary for mvgam

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    sim_mvgam() diff --git a/docs/reference/mvgam.html b/docs/reference/mvgam.html index cdc9d72f..3f34c7c0 100644 --- a/docs/reference/mvgam.html +++ b/docs/reference/mvgam.html @@ -123,7 +123,7 @@

    Usage

    Arguments

    formula

    A character string specifying the GAM observation model formula. These are exactly like the formula -for a GLM except that smooth terms, s(), te(), ti(), t2(), as well as time-varying +for a GLM except that smooth terms, s(), te(), ti(), t2(), as well as time-varying dynamic() terms, can be added to the right hand side to specify that the linear predictor depends on smooth functions of predictors (or linear functionals of these). In nmix() family models, the formula is used to @@ -202,18 +202,24 @@

    Argumentsnb() for count data

    -
  • poisson() for count data

  • -
  • gaussian() for real-valued data

  • -
  • betar() for proportional data on (0,1)

  • -
  • lognormal() for non-negative real-valued data

  • +families are:

    • gaussian() for real-valued data

    • +
    • betar() for proportional data on (0,1)

    • +
    • lognormal() for non-negative real-valued data

    • student_t() for real-valued data

    • Gamma() for non-negative real-valued data

    • -
    • nmix() for count data with imperfect detection modeled via a -State-Space N-Mixture model. The latent states are Poisson, capturing the 'true' latent -abundance, while the observation process is Binomial to account for imperfect detection. +

    • bernoulli() for binary data

    • +
    • nb() for count data

    • +
    • poisson() for count data

    • +
    • binomial() for count data with imperfect detection when the number of trials is known; +note that the cbind() function must be used to bind the discrete observations and the number +of trials

    • +
    • nmix() for count data with imperfect detection when the number of trials +is unknown and should be modeled via a State-Space N-Mixture model. +The latent states are Poisson, capturing the 'true' latent +abundance, while the observation process is Binomial to account for +imperfect detection. See mvgam_families for an example of how to use this family

    • -

    Note that only nb() and poisson() are available if using JAGS as the backend. +

    Note that only nb() and poisson() are available if using JAGS as the backend. Default is poisson(). See mvgam_families for more details

    @@ -221,7 +227,7 @@

    Argumentsstudent_t() or gaussian(), or dispersion parameters in nb() or betar()), +student_t() or gaussian(), or dispersion parameters in nb() or betar()), these parameters will be shared across all series. This is handy if you have multiple time series that you believe share some properties, such as being from the same species over different spatial units. Default is FALSE.

    @@ -305,7 +311,8 @@

    Argumentspoisson(), nb(), gaussian()) and +when using Cmdstan as the backend

    priors
    @@ -463,7 +470,7 @@

    Details
    Observation level parameters: When more than one series is included in data and an observation family that contains more than one parameter is used, additional observation family parameters -(i.e. phi for
    nb() or sigma for gaussian()) are +(i.e. phi for nb() or sigma for gaussian()) are by default estimated independently for each series. But if you wish for the series to share the same observation parameters, set share_obs_params = TRUE

    Factor regularisation: When using a dynamic factor model for the trends with JAGS factor precisions are given @@ -518,7 +525,7 @@

    Examples# Formulate a model using Stan where series share a cyclic smooth for # seasonality and each series has an independent random walk temporal process; # Set run_model = FALSE to inspect the returned objects -mod1 <- mvgam(formula = y ~ s(season, bs = 'cc'), +mod1 <- mvgam(formula = y ~ s(season, bs = 'cc'), data = dat$data_train, trend_model = 'RW', family = 'poisson', @@ -549,7 +556,7 @@

    Examples refresh = 100) # Now fit the model using mvgam with the Stan backend -mod1 <- mvgam(formula = y ~ s(season, bs = 'cc'), +mod1 <- mvgam(formula = y ~ s(season, bs = 'cc'), data = dat$data_train, trend_model = 'RW', family = poisson(), @@ -585,8 +592,8 @@

    Examplesplot(mod1, type = 'smooths', realisations = TRUE) # Plot conditional response predictions using marginaleffects -plot(conditional_effects(mod1), ask = FALSE) -plot_predictions(mod1, condition = 'season', points = 0.5) +plot(conditional_effects(mod1), ask = FALSE) +plot_predictions(mod1, condition = 'season', points = 0.5) # Extract observation model beta coefficient draws as a data.frame beta_draws_df <- as.data.frame(mod1, variable = 'betas') @@ -608,7 +615,7 @@

    Examples trend = c(1,1,2)) # Fit the model using AR1 trends -mod <- mvgam(y ~ s(season, bs = 'cc'), +mod <- mvgam(y ~ s(season, bs = 'cc'), trend_map = trend_map, trend_model = 'AR1', data = mod_data, @@ -673,9 +680,9 @@

    Examples# Fit a model that includes the offset in the linear predictor as well as # hierarchical seasonal smooths mod <- mvgam(formula = y ~ offset(offset) + - s(series, bs = 're') + - s(season, bs = 'cc') + - s(season, by = series, m = 1, k = 5), + s(series, bs = 're') + + s(season, bs = 'cc') + + s(season, by = series, m = 1, k = 5), data = dat$data_train, trend_model = 'None', use_stan = TRUE) @@ -776,11 +783,38 @@

    Examples # View the changepoints with ggplot2 utilities library(ggplot2) -mcmc_plot(mod, variable = 'delta_trend', +mcmc_plot(mod, variable = 'delta_trend', regex = TRUE) + scale_y_discrete(labels = mod$trend_model$changepoints) + labs(y = 'Potential changepoint', x = 'Rate change') + +# Example showcasing how cbind() is needed for Binomial observations +# Simulate two time series of Binomial trials +trials <- sample(c(20:25), 50, replace = TRUE) +x <- rnorm(50) +detprob1 <- plogis(-0.5 + 0.9*x) +detprob2 <- plogis(-0.1 -0.7*x) +dat <- rbind(data.frame(y = rbinom(n = 50, size = trials, prob = detprob1), + time = 1:50, + series = 'series1', + x = x, + ntrials = trials), + data.frame(y = rbinom(n = 50, size = trials, prob = detprob2), + time = 1:50, + series = 'series2', + x = x, + ntrials = trials)) +dat <- dplyr::mutate(dat, series = as.factor(series)) +dat <- dplyr::arrange(dat, time, series) + +# Fit a model using the binomial() family; must specify observations +# and number of trials in the cbind() wrapper +mod <- mvgam(cbind(y, ntrials) ~ series + s(x, by = series), + family = binomial(), + data = dat) +summary(mod) + } diff --git a/docs/reference/mvgam_families.html b/docs/reference/mvgam_families.html index 77b3d9be..30d5fc4f 100644 --- a/docs/reference/mvgam_families.html +++ b/docs/reference/mvgam_families.html @@ -79,9 +79,12 @@

    Detailsmvgam currently supports the following standard observation families:

    • gaussian with identity link, for real-valued data

    • poisson with log-link, for count data

    • Gamma with log-link, for non-negative real-valued data

    • +
    • binomial with logit-link, for count data when the number +of trials is known (and must be supplied)

    In addition, the following extended families from the mgcv and brms packages are supported:

    • betar with logit-link, for proportional data on (0,1)

    • nb with log-link, for count data

    • lognormal with identity-link, for non-negative real-valued data

    • +
    • bernoulli with logit-link, for binary data

    Finally, mvgam supports the three extended families described here:

    Only poisson(), nb(), and tweedie() are available if +

    Only poisson(), nb(), and tweedie() are available if using JAGS. All families, apart from tweedie(), are supported if using Stan.

    Note that currently it is not possible to change the default link @@ -109,7 +112,7 @@

    Examples# True abundance is predicted by a single nonlinear function of temperature # as well as a nonlinear long-term trend (as a Gaussian Process function) set.seed(123) -gamdat <- gamSim(n = 80); N <- NROW(gamdat) +gamdat <- gamSim(n = 80); N <- NROW(gamdat) abund_linpred <- gamdat$y; temperature <- gamdat$x2 trend <- mvgam:::sim_gp(rnorm(3, 0, 0.1), alpha_gp = 3, rho_gp = 16, h = N) @@ -154,21 +157,21 @@

    Examples# (a Poisson process with log-link), while the 'formula' applies to the # detection probability (logit link) mod <- mvgam(formula = obs_abund ~ rainfall, - trend_formula = ~ s(temperature, k = 5) + - gp(time, k = 10, c = 5/4, scale = FALSE), + trend_formula = ~ s(temperature, k = 5) + + gp(time, k = 10, c = 5/4, scale = FALSE), family = nmix(), data = data_train, newdata = data_test, - priors = c(prior(std_normal(), class = '(Intercept)'), - prior(normal(2, 2), class = '(Intercept)_trend'), - prior(normal(15, 5), class = 'rho_gp_trend(time)'))) + priors = c(prior(std_normal(), class = '(Intercept)'), + prior(normal(2, 2), class = '(Intercept)_trend'), + prior(normal(15, 5), class = 'rho_gp_trend(time)'))) # Model summary and diagnostics summary(mod) plot(mod, type = 'residuals') # Intercept parameters -mcmc_plot(mod, +mcmc_plot(mod, variable = "Intercept", regex = TRUE, type = 'hist') @@ -198,7 +201,7 @@

    Exampleslibrary(ggplot2) # Effects on true abundance can be visualised using type = 'link' -abund_plots <- plot(conditional_effects(mod, +abund_plots <- plot(conditional_effects(mod, type = 'link', effects = c('temperature', 'time')), plot = FALSE) @@ -212,7 +215,7 @@

    Examples ylab('Latent abundance') # Effect of rainfall on detection probability -det_plot <- plot(conditional_effects(mod, +det_plot <- plot(conditional_effects(mod, type = 'detection', effects = 'rainfall'), plot = FALSE) @@ -223,7 +226,7 @@

    Examples# Here visualise how response predictions might change # if we considered different possible 'cap' limits on latent # abundance and different rainfall measurements -plot_predictions(mod, condition = list('temperature', +plot_predictions(mod, condition = list('temperature', cap = c(15, 20, 40), rainfall = c(-1, 1)), type = 'response', diff --git a/docs/reference/sim_mvgam-1.png b/docs/reference/sim_mvgam-1.png index f59acc21eb272b915f53e0a8c69f112cfaaa6e1b..f98195e0d7285259b5ce7b119ab2243235f9c3cc 100644 GIT binary patch literal 243836 zcmeFYg;!K>)HZw&5di^d1OXjNT4ZPm6_ga|9!k1nP0I8yaoCW|8zySc? z{Pr#I8+76~EckKDT=|t8_z8}a7tKN72a$_{zB>RgeZ2m|i&@>Z1b_#CqTDkrc>2FN zZ@7_lis)AOZ$uCHfm+lJh6 zB4+!{`w$zqc5|7nhv>6aZzYwYrq=AZFn3ODzRlWfn~YU%y7>Cw_t){QS(s7FVR36K z=7G`lv)T2)ZNdkT|9|{{!vfi}4dk+2SX|vK8Rt6xi@l>9j{44r;IkQEX?>AJ51Df= zDTC=`@5+h>zXE1~uMqDStl+QN{#Zi5{Mgse>0`Vm13(wo#-f6yq@bW!oqQgxTaPdH z=}%DG2~T8b(g8>IoiR5l06gd3sYI}2BlAu0Fbaxb8~`JzFpFFHg!dF!dGq6w$x&H$% 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zqK)!g|3;jQhQf(_>C&fd$zBToo>N92UU`|BuA^SA7dQU zni!${zkB*Rc;_uThHNq6gvR2CI7lYD`z4GOwsQmF1bu_KBwn%qPXzxVkClnf;Q<24 zIW`n~J6&{Y(Q~cDFw(3TLjsNuz=e2tD`yg%x);2Z7Asyq diff --git a/docs/reference/sim_mvgam.html b/docs/reference/sim_mvgam.html index 0ba52d95..e3b23bcd 100644 --- a/docs/reference/sim_mvgam.html +++ b/docs/reference/sim_mvgam.html @@ -134,7 +134,7 @@

    ArgumentsArgumentsnb(), poisson(), tweedie(), gaussian(), betar(), lognormal(), student() and Gamma()

    +families are: nb(), poisson(), tweedie(), gaussian(), +betar(), lognormal(), student() and Gamma()

    phi
    -

    vector of dispersion parameters for the series (i.e. size for Negative Binomial or -phi for Tweedie or Beta). If length(phi) < n_series, the first element of phi will -be replicated n_series times. Defaults to 5 for Negative Binomial and Tweedie; 10 for -Beta

    +

    vector of dispersion parameters for the series +(i.e. size for nb() or +phi for betar()). If length(phi) < n_series, +the first element of phi will +be replicated n_series times. +Defaults to 5 for nb() and tweedie(); 10 for +betar()

    shape
    -

    vector of shape parameters for the series (i.e. shape for Gamma) +

    vector of shape parameters for the series +(i.e. shape for gamma()) If length(shape) < n_series, the first element of shape will be replicated n_series times. Defaults to 10

    sigma
    -

    vector of scale parameters for the series (i.e. sd for Normal or Student-T, -log(sd) for LogNormal). If length(sigma) < n_series, the first element of sigma will -be replicated n_series times. Defaults to 0.5 for Normal and Student-T; 0.2 for Lognormal

    +

    vector of scale parameters for the series +(i.e. sd for gaussian() or student(), +log(sd) for lognormal()). If length(sigma) < n_series, the first element of sigma will +be replicated n_series times. Defaults to 0.5 for gaussian() and +student(); 0.2 for lognormal()

    nu
    -

    vector of degrees of freedom parameters for the series (i.e. nu for Student-T) +

    vector of degrees of freedom parameters for the +series (i.e. nu for student()) If length(nu) < n_series, the first element of nu will be replicated n_series times. Defaults to 3

    @@ -196,12 +204,12 @@

    Value

    Examples

    #Simulate series with observations bounded at 0 and 1 (Beta responses)
    -sim_data <- sim_mvgam(family = betar(), trend_model = 'GP', prop_trend = 0.6)
    +sim_data <- sim_mvgam(family = betar(), trend_model = 'GP', prop_trend = 0.6)
     plot_mvgam_series(data = sim_data$data_train, series = 'all')
     
     
     #Now simulate series with overdispersed discrete observations
    -sim_data <- sim_mvgam(family = nb(), trend_model = 'GP', prop_trend = 0.6, phi = 10)
    +sim_data <- sim_mvgam(family = nb(), trend_model = 'GP', prop_trend = 0.6, phi = 10)
     plot_mvgam_series(data = sim_data$data_train, series = 'all')
     
     
    diff --git a/docs/reference/update.mvgam.html b/docs/reference/update.mvgam.html index 823f41e0..94b61e7e 100644 --- a/docs/reference/update.mvgam.html +++ b/docs/reference/update.mvgam.html @@ -160,18 +160,24 @@

    Argumentsnb() for count data

    -
  • poisson() for count data

  • -
  • gaussian() for real-valued data

  • -
  • betar() for proportional data on (0,1)

  • -
  • lognormal() for non-negative real-valued data

  • +families are:

    • gaussian() for real-valued data

    • +
    • betar() for proportional data on (0,1)

    • +
    • lognormal() for non-negative real-valued data

    • student_t() for real-valued data

    • Gamma() for non-negative real-valued data

    • -
    • nmix() for count data with imperfect detection modeled via a -State-Space N-Mixture model. The latent states are Poisson, capturing the 'true' latent -abundance, while the observation process is Binomial to account for imperfect detection. +

    • bernoulli() for binary data

    • +
    • nb() for count data

    • +
    • poisson() for count data

    • +
    • binomial() for count data with imperfect detection when the number of trials is known; +note that the cbind() function must be used to bind the discrete observations and the number +of trials

    • +
    • nmix() for count data with imperfect detection when the number of trials +is unknown and should be modeled via a State-Space N-Mixture model. +The latent states are Poisson, capturing the 'true' latent +abundance, while the observation process is Binomial to account for +imperfect detection. See mvgam_families for an example of how to use this family

    • -

    Note that only nb() and poisson() are available if using JAGS as the backend. +

    Note that only nb() and poisson() are available if using JAGS as the backend. Default is poisson(). See mvgam_families for more details

    @@ -179,7 +185,7 @@

    Argumentsstudent_t() or gaussian(), or dispersion parameters in nb() or betar()), +student_t() or gaussian(), or dispersion parameters in nb() or betar()), these parameters will be shared across all series. This is handy if you have multiple time series that you believe share some properties, such as being from the same species over different spatial units. Default is FALSE.

    @@ -209,7 +215,7 @@

    Examples
    if (FALSE) {
     # Simulate some data and fit a Poisson AR1 model
     simdat <- sim_mvgam(n_series = 1, trend_model = 'AR1')
    -mod <- mvgam(y ~ s(season, bs = 'cc'),
    +mod <- mvgam(y ~ s(season, bs = 'cc'),
                 trend_model = 'AR1',
                 data = simdat$data_train)
     summary(mod)
    @@ -219,7 +225,7 @@ 

    Examplessummary(updated_mod) # Now update to a Negative Binomial AR1 -updated_mod <- update(mod, family = nb()) +updated_mod <- update(mod, family = nb()) summary(updated_mod) }

    diff --git a/man/mvgam.Rd b/man/mvgam.Rd index 2bf29934..9d9d7024 100644 --- a/man/mvgam.Rd +++ b/man/mvgam.Rd @@ -667,13 +667,13 @@ dat <- rbind(data.frame(y = rbinom(n = 50, size = trials, prob = detprob1), time = 1:50, series = 'series2', x = x, - ntrials = trials)) \%>\% - dplyr::mutate(series = as.factor(series)) \%>\% - dplyr::arrange(time, series) + ntrials = trials)) +dat <- dplyr::mutate(dat, series = as.factor(series)) +dat <- dplyr::arrange(dat, time, series) # Fit a model using the binomial() family; must specify observations # and number of trials in the cbind() wrapper -mod <- mvgam(cbind(y, ntrials) ~ series + s(x, by = series) +mod <- mvgam(cbind(y, ntrials) ~ series + s(x, by = series), family = binomial(), data = dat) summary(mod) diff --git a/src/mvgam.dll b/src/mvgam.dll index 7da5aea035bd141c63b31e68d13c32504dfea12e..998d1fc396e82c4c86592cd0ffb7f9c12803e6f0 100644 GIT binary patch delta 78 zcmV-U0I~mom_mSPbgG@`xe`r*%aGIsC$0c%Mj3IG5A