Multilocus dynamics under haploid selection |
| |
Authors: | Valery Kirzhner Yuri Lyubich |
| |
Institution: | (1) Institute of Evolution, The University of Haifa, Mount Carmel, Haifa, 31905, Israel, IL;(2) Department of Mathematics, Technion, Haifa 32000, Israel, IL |
| |
Abstract: | A general haploid selection model with arbitrary number of multiallelic loci and arbitrary linkage distribution is considered.
The population is supposed to be panmictic. A dynamically equivalent diploid selection model is introduced. There is a position effect in this model if the original haploid selection is not multiplicative. If haploid selection is additive then the fundamental
theorem is established even with an estimate for the change in the mean fitness. On this basis exponential convergence to
an equilibrium is proved. As rule, the limit states are single-gamete ones. If, moreover, linkage is tight, then the single-gamete state with maximal fitness attracts the population for almost all initial states.
Received 27 November 1995; received in revised form 17 January 1996 |
| |
Keywords: | : Haploid selection Position effect Additive selection Fundamental theorem Convergence to equilibrium Tight linkage |
本文献已被 SpringerLink 等数据库收录! |
|