Spatial Confounding: A review of concepts, challenges, and current approaches

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Main Authors: Pim, Isaque Vieira Machado, de Carvalho, Luiz Max Fagundes, Prates, Marcos Oliveira
Format: Preprint
Published: 2026
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author Pim, Isaque Vieira Machado
de Carvalho, Luiz Max Fagundes
Prates, Marcos Oliveira
author_facet Pim, Isaque Vieira Machado
de Carvalho, Luiz Max Fagundes
Prates, Marcos Oliveira
contents Spatial confounding is a persistent challenge in spatial statistics, influencing the validity of statistical inference in models that analyze spatially-structured data. The concept has been interpreted in various ways but is broadly defined as bias in estimates arising from unmeasured spatial variation. In this paper we review definitions, classical spatial models, and recent methodological advances, including approaches from spatial statistics and causal inference. We provide an unified view of the many available approaches for areal as well as geostatistical data and discuss their relative merits both theoretically and empirically with a head-to-head comparison on real datasets. Finally, we leverage the results of the empirical comparisons to discuss directions for future research.
format Preprint
id arxiv_https___arxiv_org_abs_2602_17792
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spatial Confounding: A review of concepts, challenges, and current approaches
Pim, Isaque Vieira Machado
de Carvalho, Luiz Max Fagundes
Prates, Marcos Oliveira
Methodology
Spatial confounding is a persistent challenge in spatial statistics, influencing the validity of statistical inference in models that analyze spatially-structured data. The concept has been interpreted in various ways but is broadly defined as bias in estimates arising from unmeasured spatial variation. In this paper we review definitions, classical spatial models, and recent methodological advances, including approaches from spatial statistics and causal inference. We provide an unified view of the many available approaches for areal as well as geostatistical data and discuss their relative merits both theoretically and empirically with a head-to-head comparison on real datasets. Finally, we leverage the results of the empirical comparisons to discuss directions for future research.
title Spatial Confounding: A review of concepts, challenges, and current approaches
topic Methodology
url https://arxiv.org/abs/2602.17792