Double quantile regression accurately assesses distance to boundary trade-offs

Gonçalo C. Cardoso*

*Corresponding author af dette arbejde
3 Citationer (Scopus)

Abstract

Boundary trade-offs are common among ecological, life-history, behavioural and other traits. Depending on the traits studied, distances of data points to boundary trade-offs can indicate ecological or life-history strategies, or behavioural performance. Quantile regression tests the statistical significance of boundary trade-offs, but it is unknown whether it provides meaningful benchmarks for evaluating distances to the true trade-offs shaping the data. This is especially relevant when traits limit each other mutually, rather than one independent trait limiting another dependent trait. I used empirical and simulated data to evaluate how quantile regression assesses distance to boundary trade-offs. First, I reanalysed empirical datasets showing upper-bound trade-offs between acoustic traits, which is a field where distances to trade-offs are often used to infer behavioural performance. Second, I simulated data under different assumptions of how boundaries influence density distributions, to test the accuracy of assessing distance to the true trade-offs generating the data. Quantile regression assessed distance to upper-bound trade-offs incongruently in most empirical datasets, strongly influenced by arbitrary decisions on which trait to use as dependent. Simulated data showed that a double quantile regression approach — the consensus of two reciprocal quantile regressions — accurately and robustly assesses distance to the true trade-offs generating the data. The method was robust to low sample sizes and to different assumptions on how boundary trade-offs influence the density distribution of data. Double quantile regression can assess distances to the boundary trade-offs observed in various branches of ecology, from functional and behavioural ecology, to population and macro-ecology.

OriginalsprogEngelsk
TidsskriftMethods in Ecology and Evolution
Vol/bind10
Udgave nummer8
Sider (fra-til)1322-1331
Antal sider10
ISSN2041-210X
DOI
StatusUdgivet - 2019

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