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Implementing the Linear Adaptive False Discovery Rate Procedure for Spatiotemporal Trend Testing

Authors: Gutiérrez-Hernández, Oliver; García, Luis V.;

Implementing the Linear Adaptive False Discovery Rate Procedure for Spatiotemporal Trend Testing

Abstract

Statistical inference in spatiotemporal trend analysis often involves testing separate hypotheses for each pixel in datasets containing thousands of observations. A pixel is considered significant if its p-value falls below a rejection threshold (α). However, this uncorrected approach ignores the large number of simultaneous tests and greatly increases the risk of false positives. This issue, known as multiple testing or multiplicity, can be addressed by controlling the false discovery rate (FDR), defined as the expected proportion of false positives (i.e., false discoveries) among all rejected hypotheses, at a pre-specified control level q. This study implements the linear adaptive two-stage Benjamini–Krieger–Yekutieli (BKY) procedure for FDR control in spatiotemporal trend testing and compares it with two alternatives: the uncorrected significance approach and the original non-adaptive Benjamini–Hochberg (BH) procedure. The BKY method empirically estimates the number of true null hypotheses (m0) and adaptively relaxes the rejection threshold when many true alternatives are present, thereby increasing statistical power without compromising FDR control. Results indicate that the BKY procedure is a recommended approach for large-scale trend testing using spatiotemporal environmental data, particularly in gridded-data-intensive fields such as environmental remote sensing, climatology, and hydrology. To foster reproducibility, R code is provided to apply the BKY procedure and compare it with the uncorrected raw p-values and the BH approach on any gridded dataset.

Country
Spain
Keywords

FDR control, environmental remote sensing, multiple testing, Meteorología, Environmental remote sensing, Hydroclimatology, Modelos matemáticos, Climatología, Meteorology, Spatiotemporal gridded data, hydroclimatology, spatiotemporal gridded data, Type I error, Replicability, replicability, Teledetección, Multiple testing, Métodos de simulación, Medio ambiente - Teledetección, Geomática

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold