Growth Probability of an Additional Offspring with a Beneficial Reversal Allele in the Four-State Haploid Coupled Discrete-Time Mutation-Selection Model for a Finite Population

2020 ◽  
Vol 70 (12) ◽  
pp. 1067-1076
Author(s):  
Wonpyong GILL*
Keyword(s):  
Discrete Time ◽  
Finite Population ◽  
Selection Model ◽  
Growth Probability

CROSSING TIME THROUGH THE FITNESS BARRIER IN AN ASYMMETRIC MULTIPLICATIVE OR ADDITIVE LANDSCAPE IN THE MUTATION-SELECTION MODEL

2011 ◽  
Vol 22 (11) ◽  
pp. 1293-1307 ◽  
Author(s):  
WONPYONG GILL
Keyword(s):  
Continuous Time ◽  
Finite Population ◽  
Selection Model ◽  
Sequence Length ◽  
Continuous Time Model ◽  
Time Model ◽  
Discrete Time Model ◽  
Infinite Population ◽  
Crossing Time ◽  
Extension Parameter

This study examines the dependence of crossing time on sequence length for a finite population in an asymmetric multiplicative, or additive, landscape with a positive asymmetric parameter and a fixed extension parameter in three types of mutation-selection model: the coupled discrete-time model, the coupled continuous-time model, and the decoupled continuous-time model. The crossing times for a finite population in the three types of mutation-selection model began to deviate from the crossing times for an infinite population at a critical sequence length. It then increased exponentially as a function of sequence length in the stochastic region where the sequence length was much longer than the critical sequence length. The exponentially increasing rates of the crossing times in the three types of mutation-selection model were similar to each other. These rates were decreased by increasing the asymmetric parameter. Once the asymmetric parameter reached a certain limit the crossing times for the three models in the stochastic region could not be decreased further by increasing the asymmetric parameter past this limit.

scholarly journals MAINTENANCE OF GENETIC VARIATION WITH A FREQUENCY-DEPENDENT SELECTION MODEL AS COMPARED TO THE OVERDOMINANT MODEL

Genetics ◽  
1972 ◽  
Vol 72 (4) ◽  
pp. 771-775 ◽  
Author(s):  
Philip W Hedrick
Keyword(s):  
Genetic Variation ◽  
Finite Population ◽  
Selection Model ◽  
Frequency Change ◽  
Fourth Moment ◽  
Frequency Dependent ◽  
Frequency Dependent Selection ◽  
Infinite Population ◽  
Dependent Model ◽  
Frequency Dependent Model

ABSTRACT A frequency-dependent selection model proposed by Huang, Singh and Kojima (1971) was found to be more effective at maintaining genetic variation in a finite population than the overdominant model. The fourth moment parameter of the distribution of unfixed states showed that there was a more platykurtic distribution for the frequency-dependent model. This agreed well with the expected gene frequency change found for an infinite population.

Sign in / Sign up

Export Citation Format

Share Document