MF.beta4: Measuring Ecosystem Multi-Functionality and Its Decomposition

Provide simple functions to (i) compute a class of multi-functionality measures for a single ecosystem for given function weights, (ii) decompose gamma multi-functionality for multiple ecosystems into a within-ecosystem component (alpha multi-functionality) and an among-ecosystem component (beta multi-functionality). In each case, the correlation between functions can be corrected for. Based on biodiversity and ecosystem function data, this software also facilitates graphics for assessing biodiversity-ecosystem functioning relationships across scales.

Version: 1.0.2
Depends: R (≥ 4.0)
Imports: broom, devtools, ggplot2, dplyr, stats, ggpubr, grid, purrr, patchwork, tidyr, lme4, lmerTest, tidyverse
Suggests: knitr, rmarkdown
Published: 2024-03-25
Author: Anne Chao [aut, cre], Chun-Yu Liu [ctb], KaiHsiang Hu [ctb]
Maintainer: Anne Chao <chao at>
License: GPL (≥ 3)
NeedsCompilation: no
Citation: MF.beta4 citation info
Materials: NEWS
CRAN checks: MF.beta4 results


Reference manual: MF.beta4.pdf
Vignettes: MF.beta4 Vignette (Dec. 2023)


Package source: MF.beta4_1.0.2.tar.gz
Windows binaries: r-devel:, r-release:, r-oldrel:
macOS binaries: r-release (arm64): MF.beta4_1.0.2.tgz, r-oldrel (arm64): MF.beta4_1.0.2.tgz, r-release (x86_64): MF.beta4_1.0.2.tgz
Old sources: MF.beta4 archive


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