TY - JOUR
T1 - Entropy and the arrow of time in population dynamics
AU - Costa-Cabanas, Diogo
AU - Chalub, Fábio A. C. C.
AU - Souza, Max O.
N1 - info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00297%2F2019/PT#
info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT#
info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT#
Funding Information:
FACCC also acknowledge some discussion with Armando Neves (UFMG, Brazil). MOS was partially financed by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance code 001 and by the CAPES PRINT program at UFF — grant # 88881.310210/2018-01 . MOS was also partially financed by CNPq (grant # 310293/2018-9 ) and by FAPERJ (grant # E-26/210.440/2019 ). We also thank an anonymous referee and the managing editor for many valuable comments that helped us to improve the paper.
Publisher Copyright:
© 2022 The Author(s)
PY - 2023/1
Y1 - 2023/1
N2 - The concept of entropy in statistical physics is related to the existence of irreversible macroscopic processes. In this work, we explore a recently introduced entropy formula for a class of stochastic processes with more than one absorbing state that is extensively used in population genetics models. We will consider the Moran process as a paradigm for this class, and will extend our discussion to other models outside this class. We will also discuss the relation between non-extensive entropies in physics and epistasis (i.e., when the effects of different alleles are not independent) and the role of symmetries in population genetic models.
AB - The concept of entropy in statistical physics is related to the existence of irreversible macroscopic processes. In this work, we explore a recently introduced entropy formula for a class of stochastic processes with more than one absorbing state that is extensively used in population genetics models. We will consider the Moran process as a paradigm for this class, and will extend our discussion to other models outside this class. We will also discuss the relation between non-extensive entropies in physics and epistasis (i.e., when the effects of different alleles are not independent) and the role of symmetries in population genetic models.
KW - Entropy
KW - Epistasis
KW - Fundamental symmetries
KW - Moran process
KW - Time-irreversible processes
UR - http://www.scopus.com/inward/record.url?scp=85145611191&partnerID=8YFLogxK
U2 - 10.1016/j.biosystems.2022.104817
DO - 10.1016/j.biosystems.2022.104817
M3 - Article
C2 - 36436697
AN - SCOPUS:85145611191
SN - 0303-2647
VL - 223
JO - BioSystems
JF - BioSystems
M1 - 104817
ER -