Abundance modeling

Hello ! If you are here, you want to model abundance data.
You could try and install our new version of biomod2 with the Abundance branch:

devtools::install_github("biomodhub/biomod2", ref = "Abundance")

Keep in mind that it is a development branch: it can change quickly and sometimes fail ! Consequently, this branch is not reproducibility-friendly.

We invite you to report any problems, to ask for enhances or to discuss about the modeling in the issues or the forum of the biomod2 github.

This vignette will be updated regularly : think to look at it to see if there are a few modifications.
We will also update the documentation on the branch : you can call the help ?BIOMOD_FormatingData for example.
The documentation on this website will still be the documentation of biomod2 V4.2-6-1.



Here is presented an example of abundance modeling with biomod2.
(As we haven’t add example data to biomod2 yet, the example will be made with fake data. Sorry >{o.o}< )

library(biomod2)
library(terra)

# Load species occurrences (6 species available)
data("DataSpecies")
head(DataSpecies)

# Select the name of the studied species
myRespName <- 'VulpesVulpes'

# Get corresponding presence/absence data
myResp <- as.numeric(DataSpecies[, myRespName])

# Get corresponding XY coordinates
myRespXY <- DataSpecies[, c('X_WGS84', 'Y_WGS84')]

# Load environmental variables extracted from BIOCLIM (bio_3, bio_4, bio_7, bio_11 & bio_12)
data("bioclim_current")
myExpl <- rast(bioclim_current)



Data type

Creating your BIOMOD.formated.data object is similar than biomod2 with binary data. biomod2 will guess your data type but you can specify it with the argument data.type.

There are 5 different data types :

Type Data Distribution
binary Numeric (or factor) response with only 0 and 1 binomial
abundance Positive numeric response gaussian
count Positive integer response poisson
ordinal Ordered factor response classification
relative Numeric response between 0 and 1 beta

Here we will build count data, by transforming our available binary data :

# Transform binary data as count data
poissonDistri <- rpois(sum(myResp), 5)
myResp[myResp == 1] <- poissonDistri



Prepare data & parameters

Format data (observations & explanatory variables)

# Format Data with true absences
myBiomodData <- BIOMOD_FormatingData(resp.var = myResp,
                                     expl.var = myExpl,
                                     resp.xy = myRespXY,
                                     resp.name = myRespName)
myBiomodData
plot(myBiomodData)

#Or
myBiomodData <- BIOMOD_FormatingData(resp.var = myResp,
                                     expl.var = myExpl,
                                     resp.xy = myRespXY,
                                     resp.name = myRespName,
                                     data.type = "count")

As usual, it also possible to add evaluation data. However, no pseudo-absences extraction is possible with abundance data.

Cross-validation datasets

The same cross-validation (CV) methods are available and can be selected with the BIOMOD_Modeling function, which calls the bm_CrossValidation function to do so.
The same proportion of absences of the whole data will be kept for the different CV datasets (if possible).
A balance will be kept for the different classes in the case of ordinal data.

# # k-fold selection
# cv.k <- bm_CrossValidation(bm.format = myBiomodData,
#                            strategy = "kfold",
#                            nb.rep = 2,
#                            k = 3)
#
# # random selection
# cv.r <- bm_CrossValidation(bm.format = myBiomodData,
#                            strategy = "random",
#                            nb.rep = 4,
#                            perc = 0.8)
# head(cv.k)
# head(cv.r)
# plot(myBiomodData, calib.lines = cv.r)

Retrieve modeling options

Different sets of modeling options are built corresponding to the data.type.
You still have the default options and bigboss options. However, lot of work must be done in order to optimize bigboss options. So for the moment, it’s totally possible bigboss doesn’t lead to better results than default options.

The tuning option are not available yet with non binary data.

# # bigboss parameters with ordinal datatype
# opt.o <- bm_ModelingOptions(data.type = 'ordinal',
#                             models = c('RF', 'GLM'),
#                             strategy = 'bigboss')
# 
# # tuned parameters with formated data
# opt.c <- bm_ModelingOptions(data.type = 'count',
#                             models = c('GAM', 'MARS'),
#                             strategy = 'default',
#                             bm.format = myBiomodData)
# 
# opt.o
# opt.c



Run modeling

Single models

The modeling is similar than with binary data. However, not all models are available. We have :
- CTA, GAM, GBM, GLM, MARS, RF, and XGBOOST for abundance, count and relative data
- CTA, FDA, GAM, GLM, MARS, RF, and XGBOOST for ordinal data

The metrics are also different obviously. For the moment, we have implemented : RMSE, MSE, MAE, Max_error, Rsquared and Rsquared_aj (see ?BIOMOD_Modeling)

For ordinal data, we have Accuracy, Recall, Precision and F1.
(Accuracy is in lower case to contrast with ACCURACY for binary data)

# Model single models
myBiomodModelOut <- BIOMOD_Modeling(bm.format = myBiomodData,
                                    modeling.id = 'CountExample',
                                    models = c("GAM","MARS","RF"),
                                    CV.strategy = 'random',
                                    CV.nb.rep = 3,
                                    CV.perc = 0.8,
                                    OPT.strategy = 'bigboss',
                                    var.import = 3,
                                    metric.eval = c('RMSE','Rsquared'))


myBiomodModelOut

# Get evaluation scores & variables importance
get_evaluations(myBiomodModelOut)
get_variables_importance(myBiomodModelOut)

# Represent evaluation scores & variables importance
bm_PlotEvalMean(bm.out = myBiomodModelOut)
bm_PlotEvalBoxplot(bm.out = myBiomodModelOut, group.by = c('algo', 'algo'))
bm_PlotEvalBoxplot(bm.out = myBiomodModelOut, group.by = c('algo', 'run'))
bm_PlotVarImpBoxplot(bm.out = myBiomodModelOut, group.by = c('expl.var', 'algo', 'algo'))
bm_PlotVarImpBoxplot(bm.out = myBiomodModelOut, group.by = c('expl.var', 'algo', 'run'))

# Represent response curves
bm_PlotResponseCurves(bm.out = myBiomodModelOut, 
                      models.chosen = get_built_models(myBiomodModelOut)[c(1:3)],
                      fixed.var = 'median')

Ensemble models

! Warning ! The selection of single models for the ensemble modeling is different for the metrics RMSE, MSE, MAE and Max_error.

For example, with RMSE, biomod2 will select the best model and all the models with a RMSE under the best value + the threshold you give (here 2).

E.g. if the best model have a RMSE of 1.850, BIOMOD_EnsembleModeling will select all the models with a RMSE under 1.850 + 2.

# Model ensemble models
myBiomodEM <- BIOMOD_EnsembleModeling(bm.mod = myBiomodModelOut,
                                      models.chosen = 'all',
                                      em.by = 'all',
                                      em.algo = c('EMmean', 'EMcv', 'EMci', 'EMmedian', 'EMwmean'),
                                      metric.select = c('RMSE','Rsquared'),
                                      metric.select.thresh = c(2, 0.4),
                                      metric.eval = c('RMSE','Rsquared'),
                                      var.import = 3,
                                      EMci.alpha = 0.05,
                                      EMwmean.decay = 'proportional')
myBiomodEM

# Get evaluation scores & variables importance
get_evaluations(myBiomodEM)
get_variables_importance(myBiomodEM)

# Represent evaluation scores & variables importance
bm_PlotEvalMean(bm.out = myBiomodEM, group.by = 'full.name')
bm_PlotEvalBoxplot(bm.out = myBiomodEM, group.by = c('full.name', 'full.name'))
bm_PlotVarImpBoxplot(bm.out = myBiomodEM, group.by = c('expl.var', 'algo', 'merged.by.run'))


# Represent response curves
bm_PlotResponseCurves(bm.out = myBiomodEM, 
                      models.chosen = get_built_models(myBiomodEM)[c(1, 5, 6)],
                      fixed.var = 'median')



Project models

Single models

The argument digits indicates the number of digits for the predicted values.
Keep in mind that integer are “lighter” than float.
For relative data, you can use the same argument on_0_1000 than binary data.

# Project single models
myBiomodProj <- BIOMOD_Projection(bm.mod = myBiomodModelOut,
                                  proj.name = 'Current',
                                  new.env = myExpl,
                                  models.chosen = 'all',
                                  build.clamping.mask = TRUE,
                                  digits = 1)
myBiomodProj
plot(myBiomodProj)

Ensemble models

# Project ensemble models (from single projections)
myBiomodEMProj <- BIOMOD_EnsembleForecasting(bm.em = myBiomodEM, 
                                             bm.proj = myBiomodProj,
                                             models.chosen = get_built_models(myBiomodEM)[c(1,3:7,9:12)])
                                             
myBiomodEMProj
plot(myBiomodEMProj)



Compare range sizes

# Load environmental variables extracted from BIOCLIM (bio_3, bio_4, bio_7, bio_11 & bio_12)
data("bioclim_future")
myExplFuture = rast(bioclim_future)

# Project onto future conditions
myBiomodProjFuture <- BIOMOD_Projection(bm.mod = myBiomodModelOut,
                                                 proj.name = 'FutureProj',
                                                 new.env = myExplFuture,
                                                 models.chosen = 'all')

# Load current and future binary projections
CurrentProj <- get_predictions(myBiomodProj)
FutureProj <- get_predictions(myBiomodProjFuture)


myBiomodRangeSize <- BIOMOD_RangeSize(proj.current = CurrentProj, 
                                      proj.future = FutureProj, 
                                      thresholds = c(10,30,50))

# Represent main results 
gg = bm_PlotRangeSize(bm.range = myBiomodRangeSize, 
                      do.count = TRUE,
                      do.perc = TRUE,
                      do.maps = TRUE,
                      do.mean = FALSE,
                      do.plot = TRUE,
                      row.names = c("Species", "Dataset", "Run", "Algo"))

! Remember ! This is fake data !

New developments

The branch is still a work in progress.
Don’t hesitate to let us know what new features you’d like to see, what warnings you feel are missing, or what needs to be adapted for some types of data !


The biomod2 Team !