Last updated: 2026-04-06
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Integrating-nir-genomic-kernel/
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Untracked files:
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Untracked: analysis/run_cv1_cv2_only.R
Unstaged changes:
Modified: analysis/analysis_prediction_run_outputs.Rmd
Modified: analysis/analysis_prediction_run_outputs_pt.Rmd
Modified: analysis/variance_components.Rmd
Modified: analysis/variance_components_pt.Rmd
Modified: analysis/visualization.Rmd
Modified: analysis/visualization_pt.Rmd
Deleted: output/figures/prediction_cv0_cv00.pdf
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Deleted: output/tables/analysis_prediction/analysis_prediction_bglr_run_inventory.csv
Deleted: output/tables/analysis_prediction/analysis_prediction_counts_by_cv.csv
Deleted: output/tables/analysis_prediction/analysis_prediction_counts_by_trait.csv
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This chunk sets the knitting options for the document so that tables, code, and figures are displayed consistently throughout the tutorial.
Language / Idioma: English | Português
This tutorial summarizes variance components for the predictive models used in this study. In the current workflow, this file is used mainly to consolidate and interpret results that were already estimated previously, although it still keeps the code structure needed to fit the models when that step must be rerun.
The goal is to quantify how much of the total phenotypic variance is attributed to the main effects and interaction terms included in each model. In practical terms, this script helps answer questions such as:
This script is organized into four stages:
matrizes.Rmd.A high variance share for a given source should not be interpreted automatically as evidence of biological complementarity or better predictive performance. This point is especially important for P, because NIRS-based similarity may reflect strong physiological response to the environment in addition to any stable biological signal, and for W, because the weather kernel complements but does not replace the categorical environment effect.
Inputs of this step - matrices and kernels generated
by matrizes.Rmd - the reduced catalog of 18 models used in
the project
Outputs of this step - raw variance-component results - processed variance-component summaries - percentage tables and diagnostic figures
Next step - this stage complements the structural
interpretation of the models and should be read together with the
predictive results generated later in
analysis_prediction.Rmd.
First, we load the packages used to manipulate the data, fit the Bayesian models, and generate the final article-quality figures.
This chunk loads the packages needed for reading the saved artifacts, reshaping the results, plotting summaries, and running the heavy estimation step when required.
library(dplyr)
library(tidyr)
library(readr)
library(stringr)
library(tibble)
library(ggplot2)
library(BGLR)
library(parallel)
library(doParallel)
library(foreach)
library(ggthemes)
library(scales)
library(fs)
library(grid)
library(knitr)
library(kableExtra)
All kernels and phenotypic objects are expected to be available in
output/Matrizes/, which is the output directory created in
matrizes.Rmd. The variance-component results generated here
are stored in output/variance_components/.
This chunk defines the project directories used to find matrices, store outputs, and organize the saved variance-component files.
kernel_dir <- "output/Matrizes"
results_dir <- "output/variance_components"
figure_dir <- file.path(results_dir, "figures")
dir.create(results_dir, recursive = TRUE, showWarnings = FALSE)
dir.create(figure_dir, recursive = TRUE, showWarnings = FALSE)
Before reading the files, we check whether the expected
.rds objects are present in the matrices output folder.
This makes the tutorial easier to follow because the script stops
immediately if a required object is missing.
This chunk checks that the required input files and directories exist before the script moves into model definition or result processing.
required_files <- c(
"ZG.rds", "ZP.rds", "ZE.rds", "ZEZE.rds", "ZW.rds",
"ZGZE.rds", "ZPZE.rds", "ZGZW.rds", "ZPZW.rds",
"GGK.rds", "PGK.rds", "GAK.rds", "PAK.rds",
"GGKE.rds", "PGKE.rds", "GGKW.rds", "PGKW.rds",
"GAKE.rds", "PAKE.rds", "GAKW.rds", "PAKW.rds",
"Pheno.rds", "Pedigree.rds"
)
missing_files <- required_files[!file.exists(file.path(kernel_dir, required_files))]
if (length(missing_files) > 0) {
stop(
"The following required files were not found in output/Matrizes/: ",
paste(missing_files, collapse = ", "),
". Run matrizes.Rmd first."
)
}
These vectors define how the variance components will appear in the final outputs. Keeping these labels visible in the main script helps the reader understand how internal model names are translated into article-ready labels.
This chunk defines the labels and naming conventions used later in tables, output files, and figures.
component_display <- c(
E = "Environment (E)",
G = "Genomic linear (G)",
P = "Phenomic linear (P)",
W = "Weather kernel (W)",
GE = "G × E",
PE = "P × E",
GW = "G × W",
PW = "P × W",
GGK = "Genomic Gaussian (GGK)",
PGK = "Phenomic Gaussian (PGK)",
GAK = "Genomic arc-cosine (GAK)",
PAK = "Phenomic arc-cosine (PAK)",
GGKE = "GGK × E",
PGKE = "PGK × E",
GAKE = "GAK × E",
PAKE = "PAK × E",
GGKW = "GGK × W",
PGKW = "PGK × W",
GAKW = "GAK × W",
PAKW = "PAK × W",
Residual = "Residual"
)
component_order <- c(
"Environment (E)",
"Genomic linear (G)",
"Phenomic linear (P)",
"Weather kernel (W)",
"G × E",
"P × E",
"G × W",
"P × W",
"Genomic Gaussian (GGK)",
"Phenomic Gaussian (PGK)",
"Genomic arc-cosine (GAK)",
"Phenomic arc-cosine (PAK)",
"GGK × E",
"PGK × E",
"GAK × E",
"PAK × E",
"GGK × W",
"PGK × W",
"GAK × W",
"PAKW × W",
"Residual"
)
component_order[component_order == "PAKW × W"] <- "PAK × W"
This section loads the matrices generated in
matrizes.Rmd. These objects are the core inputs for the
variance-component analysis.
This chunk reads the matrices and kernels generated in the previous module so the variance-component models use the same aligned inputs as the prediction stage.
ZG <- readRDS(file.path(kernel_dir, "ZG.rds"))
ZP <- readRDS(file.path(kernel_dir, "ZP.rds"))
ZE <- readRDS(file.path(kernel_dir, "ZE.rds"))
ZEZE <- readRDS(file.path(kernel_dir, "ZEZE.rds"))
ZW <- readRDS(file.path(kernel_dir, "ZW.rds"))
ZGZE <- readRDS(file.path(kernel_dir, "ZGZE.rds"))
ZPZE <- readRDS(file.path(kernel_dir, "ZPZE.rds"))
ZGZW <- readRDS(file.path(kernel_dir, "ZGZW.rds"))
ZPZW <- readRDS(file.path(kernel_dir, "ZPZW.rds"))
GGK <- readRDS(file.path(kernel_dir, "GGK.rds"))
PGK <- readRDS(file.path(kernel_dir, "PGK.rds"))
GAK <- readRDS(file.path(kernel_dir, "GAK.rds"))
PAK <- readRDS(file.path(kernel_dir, "PAK.rds"))
GGKE <- readRDS(file.path(kernel_dir, "GGKE.rds"))
PGKE <- readRDS(file.path(kernel_dir, "PGKE.rds"))
GGKW <- readRDS(file.path(kernel_dir, "GGKW.rds"))
PGKW <- readRDS(file.path(kernel_dir, "PGKW.rds"))
GAKE <- readRDS(file.path(kernel_dir, "GAKE.rds"))
PAKE <- readRDS(file.path(kernel_dir, "PAKE.rds"))
GAKW <- readRDS(file.path(kernel_dir, "GAKW.rds"))
PAKW <- readRDS(file.path(kernel_dir, "PAKW.rds"))
Pheno <- readRDS(file.path(kernel_dir, "Pheno.rds"))
Pedigree <- readRDS(file.path(kernel_dir, "Pedigree.rds"))
n_obs <- nrow(Pheno)
cat("Number of phenotypic observations:", n_obs, "\n")
Number of phenotypic observations: 982
cat("Number of pedigrees:", length(Pedigree), "\n")
Number of pedigrees: 329
Before fitting the models, it is important to verify that the kernels
are square and aligned to the same observation order used in
Pheno. In a tutorial context, this is an important check
because many downstream errors are caused by mismatched row and column
orders.
This chunk verifies that the loaded kernels are compatible in dimension and ordering before they are combined in the Bayesian models.
reference_ids <- Pheno$ObsID
ZE <- ZE[match(reference_ids, rownames(ZE)), , drop = FALSE]
ZG <- ZG[reference_ids, reference_ids, drop = FALSE]
ZP <- ZP[reference_ids, reference_ids, drop = FALSE]
ZEZE <- ZEZE[reference_ids, reference_ids, drop = FALSE]
ZW <- ZW[reference_ids, reference_ids, drop = FALSE]
ZGZE <- ZGZE[reference_ids, reference_ids, drop = FALSE]
ZPZE <- ZPZE[reference_ids, reference_ids, drop = FALSE]
ZGZW <- ZGZW[reference_ids, reference_ids, drop = FALSE]
ZPZW <- ZPZW[reference_ids, reference_ids, drop = FALSE]
GGK <- GGK[reference_ids, reference_ids, drop = FALSE]
PGK <- PGK[reference_ids, reference_ids, drop = FALSE]
GAK <- GAK[reference_ids, reference_ids, drop = FALSE]
PAK <- PAK[reference_ids, reference_ids, drop = FALSE]
GGKE <- GGKE[reference_ids, reference_ids, drop = FALSE]
PGKE <- PGKE[reference_ids, reference_ids, drop = FALSE]
GGKW <- GGKW[reference_ids, reference_ids, drop = FALSE]
PGKW <- PGKW[reference_ids, reference_ids, drop = FALSE]
GAKE <- GAKE[reference_ids, reference_ids, drop = FALSE]
PAKE <- PAKE[reference_ids, reference_ids, drop = FALSE]
GAKW <- GAKW[reference_ids, reference_ids, drop = FALSE]
PAKW <- PAKW[reference_ids, reference_ids, drop = FALSE]
kernel_inventory <- tibble(
kernel = c("ZG", "ZP", "ZEZE", "ZW", "GGK", "PGK", "GAK", "PAK"),
n_rows = c(nrow(ZG), nrow(ZP), nrow(ZEZE), nrow(ZW), nrow(GGK), nrow(PGK), nrow(GAK), nrow(PAK)),
n_cols = c(ncol(ZG), ncol(ZP), ncol(ZEZE), ncol(ZW), ncol(GGK), ncol(PGK), ncol(GAK), ncol(PAK)),
is_square = c(
nrow(ZG) == ncol(ZG),
nrow(ZP) == ncol(ZP),
nrow(ZEZE) == ncol(ZEZE),
nrow(ZW) == ncol(ZW),
nrow(GGK) == ncol(GGK),
nrow(PGK) == ncol(PGK),
nrow(GAK) == ncol(GAK),
nrow(PAK) == ncol(PAK)
),
symmetric_names = c(
identical(rownames(ZG), colnames(ZG)),
identical(rownames(ZP), colnames(ZP)),
identical(rownames(ZEZE), colnames(ZEZE)),
identical(rownames(ZW), colnames(ZW)),
identical(rownames(GGK), colnames(GGK)),
identical(rownames(PGK), colnames(PGK)),
identical(rownames(GAK), colnames(GAK)),
identical(rownames(PAK), colnames(PAK))
),
aligned_with_reference = c(
identical(rownames(ZG), reference_ids),
identical(rownames(ZP), reference_ids),
identical(rownames(ZEZE), reference_ids),
identical(rownames(ZW), reference_ids),
identical(rownames(GGK), reference_ids),
identical(rownames(PGK), reference_ids),
identical(rownames(GAK), reference_ids),
identical(rownames(PAK), reference_ids)
)
)
kernel_inventory %>%
dplyr::mutate(
n_rows = format(n_rows, big.mark = ","),
n_cols = format(n_cols, big.mark = ",")
) %>%
knitr::kable(
caption = "Diagnostic summary of the main kernels used in the variance-component analysis after explicit alignment to the phenotypic observation order.",
align = "lcccccc"
) %>%
kableExtra::kable_styling(
bootstrap_options = c("striped", "hover", "condensed", "responsive"),
full_width = FALSE,
position = "left"
) %>%
kableExtra::scroll_box(width = "100%", height = "260px")
| kernel | n_rows | n_cols | is_square | symmetric_names | aligned_with_reference |
|---|---|---|---|---|---|
| ZG | 982 | 982 | TRUE | TRUE | TRUE |
| ZP | 982 | 982 | TRUE | TRUE | TRUE |
| ZEZE | 982 | 982 | TRUE | TRUE | TRUE |
| ZW | 982 | 982 | TRUE | TRUE | TRUE |
| GGK | 982 | 982 | TRUE | TRUE | TRUE |
| PGK | 982 | 982 | TRUE | TRUE | TRUE |
| GAK | 982 | 982 | TRUE | TRUE | TRUE |
| PAK | 982 | 982 | TRUE | TRUE | TRUE |
Each model is defined as a list in the format required by the
ETA argument of BGLR. The environment term
(E) is included as a fixed-effect design matrix with
model = "BRR", while the kernels are fitted as random
effects with model = "RKHS".
This chunk defines the 18 reduced Bayesian multi-kernel models in the form required for the variance-component workflow.
models <- list()
models[[1]] <- list(
E = list(X = ZE, model = "BRR"),
G = list(K = ZG, model = "RKHS"),
GE = list(K = ZGZE, model = "RKHS")
)
models[[2]] <- list(
E = list(X = ZE, model = "BRR"),
P = list(K = ZP, model = "RKHS"),
PE = list(K = ZPZE, model = "RKHS")
)
models[[3]] <- list(
E = list(X = ZE, model = "BRR"),
GGK = list(K = GGK, model = "RKHS"),
GGKE = list(K = GGKE, model = "RKHS")
)
models[[4]] <- list(
E = list(X = ZE, model = "BRR"),
PGK = list(K = PGK, model = "RKHS"),
PGKE = list(K = PGKE, model = "RKHS")
)
models[[5]] <- list(
E = list(X = ZE, model = "BRR"),
GAK = list(K = GAK, model = "RKHS"),
GAKE = list(K = GAKE, model = "RKHS")
)
models[[6]] <- list(
E = list(X = ZE, model = "BRR"),
PAK = list(K = PAK, model = "RKHS"),
PAKE = list(K = PAKE, model = "RKHS")
)
models[[7]] <- list(
E = list(X = ZE, model = "BRR"),
G = list(K = ZG, model = "RKHS"),
P = list(K = ZP, model = "RKHS"),
GE = list(K = ZGZE, model = "RKHS"),
PE = list(K = ZPZE, model = "RKHS")
)
models[[8]] <- list(
E = list(X = ZE, model = "BRR"),
GGK = list(K = GGK, model = "RKHS"),
PGK = list(K = PGK, model = "RKHS"),
GGKE = list(K = GGKE, model = "RKHS"),
PGKE = list(K = PGKE, model = "RKHS")
)
models[[9]] <- list(
E = list(X = ZE, model = "BRR"),
GAK = list(K = GAK, model = "RKHS"),
PAK = list(K = PAK, model = "RKHS"),
GAKE = list(K = GAKE, model = "RKHS"),
PAKE = list(K = PAKE, model = "RKHS")
)
models[[10]] <- list(
E = list(X = ZE, model = "BRR"),
W = list(K = ZW, model = "RKHS"),
G = list(K = ZG, model = "RKHS"),
GE = list(K = ZGZE, model = "RKHS"),
GW = list(K = ZGZW, model = "RKHS")
)
models[[11]] <- list(
E = list(X = ZE, model = "BRR"),
W = list(K = ZW, model = "RKHS"),
P = list(K = ZP, model = "RKHS"),
PE = list(K = ZPZE, model = "RKHS"),
PW = list(K = ZPZW, model = "RKHS")
)
models[[12]] <- list(
E = list(X = ZE, model = "BRR"),
W = list(K = ZW, model = "RKHS"),
G = list(K = ZG, model = "RKHS"),
P = list(K = ZP, model = "RKHS"),
GE = list(K = ZGZE, model = "RKHS"),
PE = list(K = ZPZE, model = "RKHS"),
GW = list(K = ZGZW, model = "RKHS"),
PW = list(K = ZPZW, model = "RKHS")
)
models[[13]] <- list(
E = list(X = ZE, model = "BRR"),
W = list(K = ZW, model = "RKHS"),
GGK = list(K = GGK, model = "RKHS"),
GGKE = list(K = GGKE, model = "RKHS"),
GGKW = list(K = GGKW, model = "RKHS")
)
models[[14]] <- list(
E = list(X = ZE, model = "BRR"),
W = list(K = ZW, model = "RKHS"),
PGK = list(K = PGK, model = "RKHS"),
PGKE = list(K = PGKE, model = "RKHS"),
PGKW = list(K = PGKW, model = "RKHS")
)
models[[15]] <- list(
E = list(X = ZE, model = "BRR"),
W = list(K = ZW, model = "RKHS"),
GGK = list(K = GGK, model = "RKHS"),
PGK = list(K = PGK, model = "RKHS"),
GGKE = list(K = GGKE, model = "RKHS"),
PGKE = list(K = PGKE, model = "RKHS"),
GGKW = list(K = GGKW, model = "RKHS"),
PGKW = list(K = PGKW, model = "RKHS")
)
models[[16]] <- list(
E = list(X = ZE, model = "BRR"),
W = list(K = ZW, model = "RKHS"),
GAK = list(K = GAK, model = "RKHS"),
GAKE = list(K = GAKE, model = "RKHS"),
GAKW = list(K = GAKW, model = "RKHS")
)
models[[17]] <- list(
E = list(X = ZE, model = "BRR"),
W = list(K = ZW, model = "RKHS"),
PAK = list(K = PAK, model = "RKHS"),
PAKE = list(K = PAKE, model = "RKHS"),
PAKW = list(K = PAKW, model = "RKHS")
)
models[[18]] <- list(
E = list(X = ZE, model = "BRR"),
W = list(K = ZW, model = "RKHS"),
GAK = list(K = GAK, model = "RKHS"),
PAK = list(K = PAK, model = "RKHS"),
GAKE = list(K = GAKE, model = "RKHS"),
PAKE = list(K = PAKE, model = "RKHS"),
GAKW = list(K = GAKW, model = "RKHS"),
PAKW = list(K = PAKW, model = "RKHS")
)
names(models) <- sprintf("Eta%02d", seq_along(models))
This table is useful both for internal checks and for linking figure labels to the formal description of each model.
This chunk builds a compact model catalog that links each model identifier to its category and descriptive label for later summaries.
model_info <- tibble(
ModelID = 1:18,
Model = sprintf("M%02d", 1:18),
ETA = names(models),
Category = c(
rep("Single-source + E", 6),
rep("Integrated G/P + E", 3),
rep("Weather-augmented", 9)
),
Description = c(
"E + G + GE",
"E + P + PE",
"E + GGK + GGKE",
"E + PGK + PGKE",
"E + GAK + GAKE",
"E + PAK + PAKE",
"E + G + P + GE + PE",
"E + GGK + PGK + GGKE + PGKE",
"E + GAK + PAK + GAKE + PAKE",
"E + W + G + GE + GW",
"E + W + P + PE + PW",
"E + W + G + P + GE + PE + GW + PW",
"E + W + GGK + GGKE + GGKW",
"E + W + PGK + PGKE + PGKW",
"E + W + GGK + PGK + GGKE + PGKE + GGKW + PGKW",
"E + W + GAK + GAKE + GAKW",
"E + W + PAK + PAKE + PAKW",
"E + W + GAK + PAK + GAKE + PAKE + GAKW + PAKW"
)
)
readr::write_csv(model_info, file.path(results_dir, "model_catalog.csv"))
model_info %>%
knitr::kable(
caption = "Catalog of the 18 models evaluated in the variance-component analysis.",
align = "cll"
) %>%
kableExtra::kable_styling(
bootstrap_options = c("striped", "hover", "condensed", "responsive"),
full_width = FALSE,
position = "left"
) %>%
kableExtra::scroll_box(width = "100%", height = "340px")
| ModelID | Model | ETA | Category | Description |
|---|---|---|---|---|
| 1 | M01 | Eta01 | Single-source + E | E + G + GE |
| 2 | M02 | Eta02 | Single-source + E | E + P + PE |
| 3 | M03 | Eta03 | Single-source + E | E + GGK + GGKE |
| 4 | M04 | Eta04 | Single-source + E | E + PGK + PGKE |
| 5 | M05 | Eta05 | Single-source + E | E + GAK + GAKE |
| 6 | M06 | Eta06 | Single-source + E | E + PAK + PAKE |
| 7 | M07 | Eta07 | Integrated G/P + E | E + G + P + GE + PE |
| 8 | M08 | Eta08 | Integrated G/P + E | E + GGK + PGK + GGKE + PGKE |
| 9 | M09 | Eta09 | Integrated G/P + E | E + GAK + PAK + GAKE + PAKE |
| 10 | M10 | Eta10 | Weather-augmented | E + W + G + GE + GW |
| 11 | M11 | Eta11 | Weather-augmented | E + W + P + PE + PW |
| 12 | M12 | Eta12 | Weather-augmented | E + W + G + P + GE + PE + GW + PW |
| 13 | M13 | Eta13 | Weather-augmented | E + W + GGK + GGKE + GGKW |
| 14 | M14 | Eta14 | Weather-augmented | E + W + PGK + PGKE + PGKW |
| 15 | M15 | Eta15 | Weather-augmented | E + W + GGK + PGK + GGKE + PGKE + GGKW + PGKW |
| 16 | M16 | Eta16 | Weather-augmented | E + W + GAK + GAKE + GAKW |
| 17 | M17 | Eta17 | Weather-augmented | E + W + PAK + PAKE + PAKW |
| 18 | M18 | Eta18 | Weather-augmented | E + W + GAK + PAK + GAKE + PAKE + GAKW + PAKW |
These values define the Gibbs sampler used by BGLR.
Adjust them here if a longer chain is required for convergence
diagnostics or sensitivity analyses.
This chunk defines the MCMC settings and execution controls that regulate the estimation stage when the heavy computation is turned on.
nIter <- 5000
burnIn <- 1000
thin <- 10
num_rep <- 10
traits <- c("GY", "KW")
This is the computationally expensive step. The chunk is kept with
eval=FALSE so that the tutorial can be rendered without
rerunning all Bayesian models every time. When you need updated variance
components, change eval to TRUE and run the
chunk.
This chunk contains the computationally expensive parallel estimation stage that fits the variance-component models and saves the raw posterior outputs.
numCores <- parallel::detectCores()
useCores <- max(1, numCores - 1)
cl <- parallel::makeCluster(useCores)
doParallel::registerDoParallel(cl)
combos <- expand.grid(
Model = 1:18,
REP = 1:num_rep,
Trait = traits,
stringsAsFactors = FALSE
)
results_list <- foreach(
i = 1:nrow(combos),
.packages = c("BGLR", "dplyr", "tibble")
) %dopar% {
Model <- combos$Model[i]
rep_num <- combos$REP[i]
Trait <- combos$Trait[i]
pheno <- data.frame(Pheno)
y_data <- as.numeric(pheno[[Trait]])
out_dir <- file.path(results_dir, paste0("rep_", rep_num), sprintf("Eta%02d", Model))
dir.create(out_dir, recursive = TRUE, showWarnings = FALSE)
save_prefix <- file.path(out_dir, Trait)
start_time <- Sys.time()
fit <- BGLR(
y = y_data,
ETA = models[[Model]],
nIter = nIter,
burnIn = burnIn,
thin = thin,
saveAt = save_prefix
)
end_time <- Sys.time()
variance_samples <- list()
if (!is.null(fit$ETA)) {
effect_names <- names(fit$ETA)
if (is.null(effect_names)) {
effect_names <- paste0("Effect_", seq_along(fit$ETA))
}
for (j in seq_along(fit$ETA)) {
parameter_names <- names(fit$ETA[[j]])
var_parameter <- parameter_names[grepl("^var", parameter_names)]
if (length(var_parameter) > 0) {
variance_samples[[effect_names[j]]] <- fit$ETA[[j]][[var_parameter[1]]]
}
}
}
metrics_object <- list(
varE_samples = fit$varE,
variances_samples = variance_samples,
DIC = fit$fit$DIC,
runtime_sec = as.numeric(difftime(end_time, start_time, units = "secs"))
)
saveRDS(metrics_object, paste0(save_prefix, "_metrics.rds"))
result_table <- tibble(
Component = "Residual",
MeanVar = mean(metrics_object$varE_samples, na.rm = TRUE)
)
if (length(metrics_object$variances_samples) > 0) {
for (nm in names(metrics_object$variances_samples)) {
result_table <- bind_rows(
result_table,
tibble(
Component = nm,
MeanVar = mean(metrics_object$variances_samples[[nm]], na.rm = TRUE)
)
)
}
}
rm(fit)
gc()
result_table %>%
mutate(Model = Model, Rep = rep_num, Trait = Trait)
}
stopCluster(cl)
all_variance <- bind_rows(results_list)
write_csv(all_variance, file.path(results_dir, "variance_components_raw.csv"))
saveRDS(all_variance, file.path(results_dir, "variance_components_raw.rds"))
In the current version of the workflow, this is the section used most
often. Instead of refitting all models every time, the script reads the
previously saved _metrics.rds files and consolidates them
into one object. This keeps the tutorial practical and reproducible,
while making it clear that this page is mainly a
result-consolidation step unless the user intentionally
reruns the full BGLR estimation stage.
This chunk consolidates the saved outputs produced by the estimation stage into a single structure that can be processed more easily later.
rds_files <- list.files(
path = results_dir,
pattern = "_(metrics|metricas)\\.rds$",
recursive = TRUE,
full.names = TRUE
)
if (length(rds_files) > 0) {
all_tables <- vector("list", length(rds_files))
for (i in seq_along(rds_files)) {
current_file <- normalizePath(rds_files[i], winslash = "/", mustWork = FALSE)
path_parts <- str_split(current_file, "/")[[1]]
rep_part <- path_parts[str_detect(path_parts, "^rep_")][1]
eta_part <- path_parts[str_detect(path_parts, "^Eta")][1]
file_part <- fs::path_file(current_file)
rep_value <- as.integer(str_remove(rep_part, "^rep_"))
model_value <- as.integer(str_remove(eta_part, "^Eta0*"))
trait_value <- str_remove(file_part, "_(metrics|metricas)\\.rds$")
current_object <- readRDS(current_file)
current_table <- tibble(
Rep = rep_value,
Model = model_value,
Trait = trait_value,
Component = "Residual",
MeanVar = mean(current_object$varE_samples, na.rm = TRUE),
DIC = current_object$DIC,
runtime_sec = current_object$runtime_sec
)
if (length(current_object$variances_samples) > 0) {
for (nm in names(current_object$variances_samples)) {
current_table <- bind_rows(
current_table,
tibble(
Rep = rep_value,
Model = model_value,
Trait = trait_value,
Component = nm,
MeanVar = mean(current_object$variances_samples[[nm]], na.rm = TRUE),
DIC = current_object$DIC,
runtime_sec = current_object$runtime_sec
)
)
}
}
all_tables[[i]] <- current_table
}
all_variance <- bind_rows(all_tables) %>%
arrange(Model, Rep, Trait, Component)
saveRDS(all_variance, file.path(results_dir, "variance_components_all.rds"))
}
This section loads the consolidated results and prepares them for summarization. If the file does not exist, the script stops and instructs the user to execute the model-fitting stage first.
This chunk loads the already consolidated variance-component results so the document can summarize and visualize them without repeating the expensive estimation.
raw_file <- file.path(results_dir, "variance_components_all.rds")
if (!file.exists(raw_file)) {
stop(
"The file '", raw_file, "' was not found. ",
"Run the Bayesian fitting stage first or keep the previously saved _metrics.rds files in output/variance_components/."
)
}
all_variance <- readRDS(raw_file)
all_variance <- all_variance %>%
mutate(
Trait = str_extract(Trait, "GY|KW"),
Trait = ifelse(is.na(Trait), Trait, Trait),
Model = as.integer(Model)
)
cat("Number of rows in consolidated variance object:", nrow(all_variance), "\n")
Number of rows in consolidated variance object: 2100
Now we average the posterior means across repetitions for each model, trait, and component. Then we convert the results to percentages of total variance, which makes the models directly comparable.
This chunk reshapes and annotates the loaded results so that posterior means can be compared across traits, models, and component categories.
variance_summary <- all_variance %>%
group_by(Model, Trait, Component) %>%
summarise(
AvgVar = mean(MeanVar, na.rm = TRUE),
MeanDIC = mean(DIC, na.rm = TRUE),
MeanRuntimeSec = mean(runtime_sec, na.rm = TRUE),
.groups = "drop"
) %>%
filter(!is.na(AvgVar), AvgVar > 0) %>%
group_by(Model, Trait) %>%
mutate(
TotalVar = sum(AvgVar),
Percentage = AvgVar / TotalVar
) %>%
ungroup() %>%
left_join(model_info, by = c("Model" = "ModelID")) %>%
mutate(
Model = factor(sprintf("M%02d", Model), levels = sprintf("M%02d", 1:18)),
ComponentLabel = dplyr::recode(Component, !!!component_display),
ComponentLabel = factor(ComponentLabel, levels = component_order),
Trait = factor(Trait, levels = c("GY", "KW"))
)
readr::write_csv(variance_summary, file.path(results_dir, "variance_components_processed.csv"))
This table is helpful when you need a compact numerical summary for the manuscript or supplementary material.
This chunk builds the main summary table used to inspect the relative contribution of each variance component across models.
variance_table <- variance_summary %>%
dplyr::select(Model, Trait, ComponentLabel, Percentage) %>%
dplyr::mutate(Percentage = round(100 * Percentage, 2)) %>%
tidyr::pivot_wider(names_from = ComponentLabel, values_from = Percentage)
readr::write_csv(variance_table, file.path(results_dir, "variance_components_table_percent.csv"))
head(variance_table, 12) %>%
knitr::kable(
caption = "Preview of the processed variance-component table (percent of total variance).",
align = "lcccccccccccc"
) %>%
kableExtra::kable_styling(
bootstrap_options = c("striped", "hover", "condensed", "responsive"),
full_width = FALSE,
position = "left"
) %>%
kableExtra::scroll_box(width = "100%", height = "320px")
| Model | Trait | Environment (E) | Genomic linear (G) | G × E | Residual | Phenomic linear (P) | P × E | Genomic Gaussian (GGK) | GGK × E | Phenomic Gaussian (PGK) | PGK × E | Genomic arc-cosine (GAK) | GAK × E | Phenomic arc-cosine (PAK) | PAK × E | G × W | Weather kernel (W) | P × W | GGK × W | PGK × W | GAK × W | PAK × W |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| M01 | GY | 84.05 | 11.63 | 1.65 | 2.67 | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M01 | KW | 75.70 | 20.56 | 1.44 | 2.29 | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M02 | GY | 0.00 | NA | NA | 0.00 | 100 | 0 | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M02 | KW | 0.00 | NA | NA | 0.00 | 100 | 0 | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M03 | GY | 48.90 | NA | NA | 1.94 | NA | NA | 45.70 | 3.45 | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M03 | KW | 35.20 | NA | NA | 1.27 | NA | NA | 61.47 | 2.07 | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M04 | GY | 77.68 | NA | NA | 11.05 | NA | NA | NA | NA | 7.69 | 3.58 | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M04 | KW | 73.42 | NA | NA | 11.52 | NA | NA | NA | NA | 11.05 | 4.01 | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M05 | GY | 5.28 | NA | NA | 0.26 | NA | NA | NA | NA | NA | NA | 92.57 | 1.89 | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M05 | KW | 3.39 | NA | NA | 0.16 | NA | NA | NA | NA | NA | NA | 95.66 | 0.79 | NA | NA | NA | NA | NA | NA | NA | NA | NA |
| M06 | GY | 17.73 | NA | NA | 3.23 | NA | NA | NA | NA | NA | NA | NA | NA | 77.56 | 1.48 | NA | NA | NA | NA | NA | NA | NA |
| M06 | KW | 10.29 | NA | NA | 2.17 | NA | NA | NA | NA | NA | NA | NA | NA | 86.61 | 0.92 | NA | NA | NA | NA | NA | NA | NA |
The next figure summarizes the percentage contribution of each
variance component across the 18 models for both traits. To keep the
x-axis readable, the models are displayed as M01 to
M18, and the detailed descriptions remain available in the
model catalog saved above.
This figure should be read as a structural summary of the fitted models, not as direct proof that combining more data sources automatically leads to stronger biological complementarity or better predictive performance.
This chunk draws the final variance-component figure, turning the processed table into a compact visual summary for interpretation.
trait_labels <- c(
GY = "A. Grain yield (GY)",
KW = "B. Kernel weight (KW)"
)
variance_plot <- variance_summary %>%
ggplot(aes(x = Model, y = Percentage, fill = ComponentLabel)) +
geom_col(color = "white", linewidth = 0.15, width = 0.82) +
facet_wrap(~ Trait, ncol = 1, labeller = as_labeller(trait_labels)) +
ggthemes::scale_fill_gdocs(name = "Variance component", drop = FALSE) +
scale_y_continuous(
labels = scales::percent_format(accuracy = 1),
expand = expansion(mult = c(0, 0.02))
) +
labs(
x = "Model ID",
y = "Proportion of total variance"
) +
theme_minimal(base_size = 11) +
theme(
plot.title = element_text(face = "bold", size = 13, hjust = 0.5),
strip.text = element_text(face = "bold", size = 11),
axis.title = element_text(face = "bold"),
axis.text.x = element_text(angle = 45, hjust = 1, vjust = 1, size = 8),
axis.text.y = element_text(size = 9),
legend.position = "right",
legend.box = "vertical",
legend.title = element_text(face = "bold", size = 10),
legend.text = element_text(size = 8),
legend.key.height = unit(0.45, "cm"),
legend.key.width = unit(0.55, "cm"),
panel.grid.major.x = element_blank(),
panel.grid.minor = element_blank()
) +
guides(fill = guide_legend(ncol = 2, byrow = TRUE))
print(variance_plot)
Figure 3. Posterior mean percentage of total variance attributed to each model component across the 18 predictive models for grain yield (GY) and kernel weight (KW). Each stacked bar represents one model (M01-M18), averaged across repetitions, and colors identify the variance components included in the model structure. The weather kernel (W) and its associated interaction terms appear mainly in models M10-M18. Variance decomposition should be interpreted as a description of model structure and not automatically as evidence of stronger biological complementarity among information sources.
ggsave(
filename = file.path(figure_dir, "variance_components_article.tiff"),
plot = variance_plot,
width = 14,
height = 10,
dpi = 300,
compression = "lzw",
bg = "white"
)
ggsave(
filename = file.path(figure_dir, "variance_components_article.pdf"),
plot = variance_plot,
width = 14,
height = 10,
bg = "white"
)
This final section clarifies how the figure should be interpreted.
In the context of this article, these variance decompositions complement the predictive analyses by showing which information sources contribute to model structure. However, a large variance share for a component should not be read automatically as evidence of stronger biological complementarity or of better predictive ability.
Weverton Gomes da Costa, Postdoctoral Researcher, Department of Statistics - Universidade Federal de Viçosa, wevertonufv@gmail.com↩︎