Exploring Evolutionary Fitness in Biological Systems Using Machine Learning Methods

Here, we propose a computational approach to explore evolutionary fitness in complex biological systems based on empirical data using artificial neural networks. The essence of our approach is the following. We first introduce a ranking order of inherited elements (behavioral strategies or/and life...

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Main Authors: Oleg Kuzenkov, Andrew Morozov, Galina Kuzenkova
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/1/35
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author Oleg Kuzenkov
Andrew Morozov
Galina Kuzenkova
author_facet Oleg Kuzenkov
Andrew Morozov
Galina Kuzenkova
author_sort Oleg Kuzenkov
collection DOAJ
description Here, we propose a computational approach to explore evolutionary fitness in complex biological systems based on empirical data using artificial neural networks. The essence of our approach is the following. We first introduce a ranking order of inherited elements (behavioral strategies or/and life history traits) in considered self-reproducing systems: we use available empirical information on selective advantages of such elements. Next, we introduce evolutionary fitness, which is formally described as a certain function reflecting the introduced ranking order. Then, we approximate fitness in the space of key parameters using a Taylor expansion. To estimate the coefficients in the Taylor expansion, we utilize artificial neural networks: we construct a surface to separate the domains of superior and interior ranking of pair inherited elements in the space of parameters. Finally, we use the obtained approximation of the fitness surface to find the evolutionarily stable (optimal) strategy which maximizes fitness. As an ecologically important study case, we apply our approach to explore the evolutionarily stable diel vertical migration of zooplankton in marine and freshwater ecosystems. Using machine learning we reconstruct the fitness function of herbivorous zooplankton from empirical data and predict the daily trajectory of a dominant species in the northeastern Black Sea.
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spelling doaj.art-08c09e841e394e92ae1ce931081f3c642023-11-21T02:55:42ZengMDPI AGEntropy1099-43002020-12-012313510.3390/e23010035Exploring Evolutionary Fitness in Biological Systems Using Machine Learning MethodsOleg Kuzenkov0Andrew Morozov1Galina Kuzenkova2Department of Differential Equations, Mathematical and Numerical Analysis, Lobachevsky State University, 603950 Nizhni Novgorod, RussiaSchool of Mathematics and Actuarial Science, University of Leicester, Leicester LE1 7RH, UKDepartment of Differential Equations, Mathematical and Numerical Analysis, Lobachevsky State University, 603950 Nizhni Novgorod, RussiaHere, we propose a computational approach to explore evolutionary fitness in complex biological systems based on empirical data using artificial neural networks. The essence of our approach is the following. We first introduce a ranking order of inherited elements (behavioral strategies or/and life history traits) in considered self-reproducing systems: we use available empirical information on selective advantages of such elements. Next, we introduce evolutionary fitness, which is formally described as a certain function reflecting the introduced ranking order. Then, we approximate fitness in the space of key parameters using a Taylor expansion. To estimate the coefficients in the Taylor expansion, we utilize artificial neural networks: we construct a surface to separate the domains of superior and interior ranking of pair inherited elements in the space of parameters. Finally, we use the obtained approximation of the fitness surface to find the evolutionarily stable (optimal) strategy which maximizes fitness. As an ecologically important study case, we apply our approach to explore the evolutionarily stable diel vertical migration of zooplankton in marine and freshwater ecosystems. Using machine learning we reconstruct the fitness function of herbivorous zooplankton from empirical data and predict the daily trajectory of a dominant species in the northeastern Black Sea.https://www.mdpi.com/1099-4300/23/1/35zooplanktondiel vertical migrationevolutionarily stable strategyevolutionary fitnessranking ordermachine-learned ranking
spellingShingle Oleg Kuzenkov
Andrew Morozov
Galina Kuzenkova
Exploring Evolutionary Fitness in Biological Systems Using Machine Learning Methods
Entropy
zooplankton
diel vertical migration
evolutionarily stable strategy
evolutionary fitness
ranking order
machine-learned ranking
title Exploring Evolutionary Fitness in Biological Systems Using Machine Learning Methods
title_full Exploring Evolutionary Fitness in Biological Systems Using Machine Learning Methods
title_fullStr Exploring Evolutionary Fitness in Biological Systems Using Machine Learning Methods
title_full_unstemmed Exploring Evolutionary Fitness in Biological Systems Using Machine Learning Methods
title_short Exploring Evolutionary Fitness in Biological Systems Using Machine Learning Methods
title_sort exploring evolutionary fitness in biological systems using machine learning methods
topic zooplankton
diel vertical migration
evolutionarily stable strategy
evolutionary fitness
ranking order
machine-learned ranking
url https://www.mdpi.com/1099-4300/23/1/35
work_keys_str_mv AT olegkuzenkov exploringevolutionaryfitnessinbiologicalsystemsusingmachinelearningmethods
AT andrewmorozov exploringevolutionaryfitnessinbiologicalsystemsusingmachinelearningmethods
AT galinakuzenkova exploringevolutionaryfitnessinbiologicalsystemsusingmachinelearningmethods