# fits weighted-averaging partial least squares model on cross-validation data
# y_train_prop A data frame of relative abundances of size N_site by N_taxa
# X_train A data frame of the climate covariate of size N_site by 1
# sse Sum of Squared Error ...
# nboot Number of bootstrapped samples for prediction
#
# returns a list of cross-validation statistics for each held out sample
# MSPE Squared Prediction Error
# MAE Absolute Error
# CRPS Continuous Ranked Probability Score
# coverage Empirical 95% coverage rate
fit_WAPLS_CV <- function(y_train_prop, y_test_prop, X_train, X_test, sse=TRUE, nboot=1000, ...) {
## WAPLS reconstruction - subset to deal with all zero occurrence species
zeros_idx <- which(colSums(y_train_prop) == 0)
if (length(zeros_idx) > 0) {
modWAPLS <- rioja::WAPLS(y_train_prop[, - zeros_idx], X_train)
predWAPLS <- predict(modWAPLS, y_test_prop, sse=sse, nboot=nboot)
} else {
modWAPLS <- rioja::WAPLS(y_train_prop, X_train)
predWAPLS <- predict(modWAPLS, y_test_prop, sse=sse, nboot=nboot)
}
CRPS <- makeCRPSGauss(predWAPLS$fit[, 1], sqrt(predWAPLS$v1.boot[, 1]),
X_test)
MSPE <- (predWAPLS$fit[, 1] - X_test)^2
MAE <- abs(predWAPLS$fit[, 1] - X_test)
coverage <- (
X_test >=
(predWAPLS$fit[, 1] - 2 * sqrt(predWAPLS$v1.boot[, 1]))) &
(X_test <=
(predWAPLS$fit[, 1] + 2 * sqrt(predWAPLS$v1.boot[, 1])))
return(list(MSPE=MSPE, MAE=MAE, CRPS=CRPS, coverage=coverage))
}
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