Path probability selection in nature and path integral

Abstract Understanding of any biological evolutions, such as speciation, adaptation behavior and biodiversity pattern, is based on a fundamental concept of fitness, in which natural selection implies the improvement and progress of fitness in either direct/indirect benefit or genetic transmission to...

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Main Authors: Chao Wang, Min-Lan Li, Rui-Wu Wang
Format: Article
Language:English
Published: Nature Portfolio 2022-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-20235-2
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author Chao Wang
Min-Lan Li
Rui-Wu Wang
author_facet Chao Wang
Min-Lan Li
Rui-Wu Wang
author_sort Chao Wang
collection DOAJ
description Abstract Understanding of any biological evolutions, such as speciation, adaptation behavior and biodiversity pattern, is based on a fundamental concept of fitness, in which natural selection implies the improvement and progress of fitness in either direct/indirect benefit or genetic transmission to the next generation. However, this basic idea of biological evolution, which is mathematically described by Price equation or its relations, has not fully considered feedback effects from the environment or other generations. They lost the global dynamics of the evolutions consequently. Drawing on the idea of modern physics, we introduce the path integral by iterating the Price equation step by step to characterize the evolutionary path in which the stationary fitness is replaced by the path probability. The evolutionary selection therefore will depend on path probability instead of fitness advantage. In such a framework of the evolutionary path, the intermediate process of evolution is not always pointing to the fitness-maximizing equilibrium and multiple evolutionary paths could thus coexist without fitness advantage discrimination. This mechanism could potentially explain fitness evolutionary strategies with the diversified fitness (e.g., coexistence of altruism and selfishness) and thus species diversity.
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spelling doaj.art-d3c28c767b694da29bd2e7e5e7862f082022-12-22T02:31:09ZengNature PortfolioScientific Reports2045-23222022-11-011211910.1038/s41598-022-20235-2Path probability selection in nature and path integralChao Wang0Min-Lan Li1Rui-Wu Wang2School of Ecology and Environment, Northwestern Polytechnical UniversitySchool of Ecology and Environment, Northwestern Polytechnical UniversitySchool of Ecology and Environment, Northwestern Polytechnical UniversityAbstract Understanding of any biological evolutions, such as speciation, adaptation behavior and biodiversity pattern, is based on a fundamental concept of fitness, in which natural selection implies the improvement and progress of fitness in either direct/indirect benefit or genetic transmission to the next generation. However, this basic idea of biological evolution, which is mathematically described by Price equation or its relations, has not fully considered feedback effects from the environment or other generations. They lost the global dynamics of the evolutions consequently. Drawing on the idea of modern physics, we introduce the path integral by iterating the Price equation step by step to characterize the evolutionary path in which the stationary fitness is replaced by the path probability. The evolutionary selection therefore will depend on path probability instead of fitness advantage. In such a framework of the evolutionary path, the intermediate process of evolution is not always pointing to the fitness-maximizing equilibrium and multiple evolutionary paths could thus coexist without fitness advantage discrimination. This mechanism could potentially explain fitness evolutionary strategies with the diversified fitness (e.g., coexistence of altruism and selfishness) and thus species diversity.https://doi.org/10.1038/s41598-022-20235-2
spellingShingle Chao Wang
Min-Lan Li
Rui-Wu Wang
Path probability selection in nature and path integral
Scientific Reports
title Path probability selection in nature and path integral
title_full Path probability selection in nature and path integral
title_fullStr Path probability selection in nature and path integral
title_full_unstemmed Path probability selection in nature and path integral
title_short Path probability selection in nature and path integral
title_sort path probability selection in nature and path integral
url https://doi.org/10.1038/s41598-022-20235-2
work_keys_str_mv AT chaowang pathprobabilityselectioninnatureandpathintegral
AT minlanli pathprobabilityselectioninnatureandpathintegral
AT ruiwuwang pathprobabilityselectioninnatureandpathintegral