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INBREEDING AND VARIANCE EFFECTIVE SIZES FOR NONRANDOM MATING POPULATIONS.

Jinliang Wang1

  • 1College of Animal Science, Zhejiang Agricultural University, Hangzhou, 310029, P. R. China.

Evolution; International Journal of Organic Evolution
|June 1, 2017
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Summary

This study derives new formulas for inbreeding effective size (NeI) and variance effective size (NeV) in finite populations with varying sizes and mating systems. The findings refine population genetics models and correct previous equations.

Keywords:
Effective population sizegenetic driftinbreedingnonrandom mating

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Area of Science:

  • Population Genetics
  • Quantitative Genetics
  • Evolutionary Biology

Background:

  • Accurate estimation of effective population size is crucial for understanding genetic drift and inbreeding.
  • Existing models for inbreeding effective size (NeI) and variance effective size (NeV) have limitations, particularly in populations with variable census sizes and non-random mating.
  • Previous derivations often fail to account for complex demographic and mating structures.

Purpose of the Study:

  • To derive novel expressions for inbreeding effective size (NeI) in finite diploid populations under various mating systems (partial selfing, sib mating, random mating) with variable census sizes.
  • To develop a general expression for variance effective size (NeV) considering unequal sex ratios, arbitrary family size distributions, and non-random mating, allowing for generational changes in parameters.
  • To compare the derived equations with existing formulas and validate them through stochastic simulations.

Main Methods:

  • Inbreeding approach assuming discrete generations, autosomal inheritance, and genes not affecting viability or reproduction.
  • Derivation of recurrence equations for the inbreeding coefficient for specific mating systems.
  • Variance of change in gene frequency approach to derive the general expression for variance effective size (NeV).
  • Stochastic simulations to verify theoretical results, especially where discrepancies with prior studies exist.

Main Results:

  • Novel expressions for inbreeding effective size (NeI) were derived for monoecious populations with partial selfing and dioecious populations with partial sib mating and unequal sex ratios.
  • A general formula for variance effective size (NeV) was obtained, encompassing a wider range of population structures and mating patterns than previously available.
  • The study identified and corrected inaccuracies or incompleteness in several published equations for NeI and NeV.

Conclusions:

  • The derived equations provide more accurate and comprehensive measures of effective population size under complex demographic and mating conditions.
  • This work refines theoretical predictions of genetic drift and inbreeding dynamics in finite populations.
  • The findings necessitate a re-evaluation of some existing models in population genetics and conservation biology.