TY - JOUR
T1 - A Tracing Model for the Evolutionary Equilibrium of Octoploids
AU - Wang, Jing
AU - Lv, Xuemin
AU - Feng, Li
AU - Dong, Ang
AU - Liang, Dan
AU - Wu, Rongling
N1 - Funding Information:
We thank Paul P. Grabowski for providing his switchgrass data to validate our model and Libo Jiang for his contribution to this work. This work is supported by Beijing Forestry University Fund.
Publisher Copyright:
Copyright © 2022 Wang, Lv, Feng, Dong, Liang and Wu.
PY - 2022/1/28
Y1 - 2022/1/28
N2 - Testing Hardy-Weinberg equilibrium (HWE) is a fundamental approach for inferring population diversity and evolution, but its application to octoploids containing eight chromosome sets has not well been justified. We derive a mathematical model to trace how genotype frequencies transmit from parental to offspring generations in the natural populations of autooctoploids. We find that octoploids, including autooctolpoids undergoing double reduction, attach asymptotic HWE (aHWE) after 15 generations of random mating, in a contrast to diploids where one generation can assure exact equilibrium and, also, different from tetraploids that use 5 generations to reach aHWE. We develop a statistical procedure for testing aHWE in octoploids and apply it to analyze a real data set from octoploid switchgrass distributed in two ecologically different regions, demonstrating the usefulness of the test procedure. Our model provides a tool for studying the population genetic diversity of octoploids, inferring their evolutionary history, and identifying the ecological relationship of octoploid-genome structure with environmental adaptation.
AB - Testing Hardy-Weinberg equilibrium (HWE) is a fundamental approach for inferring population diversity and evolution, but its application to octoploids containing eight chromosome sets has not well been justified. We derive a mathematical model to trace how genotype frequencies transmit from parental to offspring generations in the natural populations of autooctoploids. We find that octoploids, including autooctolpoids undergoing double reduction, attach asymptotic HWE (aHWE) after 15 generations of random mating, in a contrast to diploids where one generation can assure exact equilibrium and, also, different from tetraploids that use 5 generations to reach aHWE. We develop a statistical procedure for testing aHWE in octoploids and apply it to analyze a real data set from octoploid switchgrass distributed in two ecologically different regions, demonstrating the usefulness of the test procedure. Our model provides a tool for studying the population genetic diversity of octoploids, inferring their evolutionary history, and identifying the ecological relationship of octoploid-genome structure with environmental adaptation.
UR - http://www.scopus.com/inward/record.url?scp=85124507561&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85124507561&partnerID=8YFLogxK
U2 - 10.3389/fgene.2021.794907
DO - 10.3389/fgene.2021.794907
M3 - Article
C2 - 35154248
AN - SCOPUS:85124507561
SN - 1664-8021
VL - 12
JO - Frontiers in Genetics
JF - Frontiers in Genetics
M1 - 794907
ER -