Hidden genetic variability within electromorphs in finite populations

Area of Science:

• Population Genetics
• Molecular Evolution

Background:

• Understanding genetic variation within populations is crucial for evolutionary studies.
• Electromorphs represent distinct genetic variants that can be analyzed using molecular techniques.

Purpose of the Study:

• To investigate the extent of hidden genetic variability within electromorphs in finite populations.
• To develop a mathematical framework for quantifying genetic differences between electromorphs.

Main Methods:

• Simultaneous application of the infinite site model and stepwise mutation model.
• Development of a bivariate probability generating function to calculate differences between cistrons.
• Analysis of codon differences and electromorph state differences.

Main Results:

• A formula was derived for the probability generating function of genetic differences.
• The distribution of codon differences between identical electromorphs was found to be leptokurtic, resembling a geometric distribution.
• Significant hidden genetic variability was observed, particularly with large effective population sizes and mutation rates.

Conclusions:

• The study quantifies hidden genetic variability, revealing its substantial amount under specific population parameters.
• The developed models provide a robust method for analyzing genetic divergence within and between populations.