Information and fitness in two-state systems: self-replicating individuals in a fluctuating environment

Fuente: arXiv
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Autori principali: Chatterjee, Poulami, Nieto, Cesar, Pedraza, Juan Manuel, Singh, Abhyudai
Natura: Preprint
Pubblicazione: 2025
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author Chatterjee, Poulami
Nieto, Cesar
Pedraza, Juan Manuel
Singh, Abhyudai
author_facet Chatterjee, Poulami
Nieto, Cesar
Pedraza, Juan Manuel
Singh, Abhyudai
contents A population of individuals with the same genes can present heterogeneous traits (phenotypes). The prevalence of this heterogeneity can be explained as a bet-hedging strategy that improves the population proliferation rate (fitness) in fluctuating environments. The phenotype distribution is influenced by factors such as competition between phenotypes, the duration of environmental states, and the rate of phenotype-switching. We illustrate these effects in a system where both the environment and the phenotype can adopt two states. This system includes scenarios such as symmetric bet-hedging and dormant-proliferating phenotypes. We examine how environmental and phenotypic states share mutual information, measured in bits, and explore the relationship between this information and population fitness. We propose that when fitness is measured relative to the case where phenotype and environment are independent, information and fitness can be treated as equivalent measures. We investigate strategies that individuals can use to improve this information, such as adjusting the rates of proliferation and phenotype-switching relative to the environmental fluctuation rate. Through these strategies, with fixed marginal distributions, an increase in information implies an increase in population fitness. We also identify limits to the maximum achievable fitness and information and discuss the value of the information in terms of this new normalized fitness. Our framework offers new insights into how organisms adapt to fluctuating environmental conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2508_00150
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Information and fitness in two-state systems: self-replicating individuals in a fluctuating environment
Chatterjee, Poulami
Nieto, Cesar
Pedraza, Juan Manuel
Singh, Abhyudai
Populations and Evolution
A population of individuals with the same genes can present heterogeneous traits (phenotypes). The prevalence of this heterogeneity can be explained as a bet-hedging strategy that improves the population proliferation rate (fitness) in fluctuating environments. The phenotype distribution is influenced by factors such as competition between phenotypes, the duration of environmental states, and the rate of phenotype-switching. We illustrate these effects in a system where both the environment and the phenotype can adopt two states. This system includes scenarios such as symmetric bet-hedging and dormant-proliferating phenotypes. We examine how environmental and phenotypic states share mutual information, measured in bits, and explore the relationship between this information and population fitness. We propose that when fitness is measured relative to the case where phenotype and environment are independent, information and fitness can be treated as equivalent measures. We investigate strategies that individuals can use to improve this information, such as adjusting the rates of proliferation and phenotype-switching relative to the environmental fluctuation rate. Through these strategies, with fixed marginal distributions, an increase in information implies an increase in population fitness. We also identify limits to the maximum achievable fitness and information and discuss the value of the information in terms of this new normalized fitness. Our framework offers new insights into how organisms adapt to fluctuating environmental conditions.
title Information and fitness in two-state systems: self-replicating individuals in a fluctuating environment
topic Populations and Evolution
url https://arxiv.org/abs/2508.00150