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Inbreeding coefficients and coalescence times.

¹Department of Integrative Biology, University of California, Berkeley 94720.

Genetical Research

|October 1, 1991

Summary

This study links identity by descent probabilities with coalescence times, simplifying population genetics analysis. It introduces an effective migration rate (M) as a key measure for genetic similarity and gene flow between populations.

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Area of Science:

Population Genetics
Evolutionary Biology
Quantitative Genetics

Background:

Coalescence theory is fundamental to understanding genetic variation within populations.
Existing models often use inbreeding coefficients to describe genetic structure.
Analyzing subdivided populations requires methods to quantify gene flow and genetic distance.

Purpose of the Study:

To establish a clear relationship between probabilities of identity by descent and coalescence time distributions.
To extend inbreeding coefficient results to derive coalescence time distributions and means.
To propose an effective migration rate (M) as a robust measure of genetic similarity and gene flow.

Main Methods:

Utilizing the link between coalescence times and identity probabilities.
Expressing Sewall Wright's FST as a ratio of average coalescence times.
Analyzing finite island and stepping-stone population models.

Main Results:

Demonstrated that average coalescence time can be decomposed into subpopulation entry time and within-subpopulation coalescence time.
Derived FST for finite island and stepping-stone models, including the rate of approach to equilibrium.
Showcased the utility of effective migration rate (M) for quantifying gene flow and genetic similarity.

Conclusions:

The relationship between coalescence times and identity probabilities offers a powerful framework for population genetics.
The proposed effective migration rate (M) provides a simplified and versatile measure for gene flow and genetic similarity across different data types.
This approach enhances the analysis of genetic structure in subdivided populations.

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