Heritability: A Counterfactual Perspective

Fuente: arXiv
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Autori principali: Lei, Haochen, Shi, Jieru, Cao, Hongyuan, Zhao, Qingyuan
Natura: Preprint
Pubblicazione: 2026
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author Lei, Haochen
Shi, Jieru
Cao, Hongyuan
Zhao, Qingyuan
author_facet Lei, Haochen
Shi, Jieru
Cao, Hongyuan
Zhao, Qingyuan
contents Heritability is a central concept in the long-standing debate about nature versus nurture in biological and social sciences. However, existing notions of heritability are based on strong assumptions and do not use explicit causal models. We propose a new, counterfactual definition of heritability by adopting the potential outcomes model in causal inference. Our counterfactual heritability measures the importance of genetic inheritance by the average magnitude of difference between an individual with their hypothetical ``non-identical twin'' that is exposed to the exact same environment. We provide bounds on the counterfactual heritability that can, in principle, be computed from observational data. We then compare counterfactual heritability and its associated bounds with common notions of heritability in population-based studies, twin and sibling studies, and plant breeding experiments. Our results and comparisons highlight the importance of clarifying the causal structural assumptions and counterfactual comparisons in reasoning about heritability.
format Preprint
id arxiv_https___arxiv_org_abs_2605_24123
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Heritability: A Counterfactual Perspective
Lei, Haochen
Shi, Jieru
Cao, Hongyuan
Zhao, Qingyuan
Applications
62P10, 62-02, 62Gxx, 92Dxx
Heritability is a central concept in the long-standing debate about nature versus nurture in biological and social sciences. However, existing notions of heritability are based on strong assumptions and do not use explicit causal models. We propose a new, counterfactual definition of heritability by adopting the potential outcomes model in causal inference. Our counterfactual heritability measures the importance of genetic inheritance by the average magnitude of difference between an individual with their hypothetical ``non-identical twin'' that is exposed to the exact same environment. We provide bounds on the counterfactual heritability that can, in principle, be computed from observational data. We then compare counterfactual heritability and its associated bounds with common notions of heritability in population-based studies, twin and sibling studies, and plant breeding experiments. Our results and comparisons highlight the importance of clarifying the causal structural assumptions and counterfactual comparisons in reasoning about heritability.
title Heritability: A Counterfactual Perspective
topic Applications
62P10, 62-02, 62Gxx, 92Dxx
url https://arxiv.org/abs/2605.24123