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Two-locus inbreeding measures for recurrent selection.

S C Choy1, B S Weir

  • 1Department of Mathematics, Massey University, Palmerston North, New Zealand.

TAG. Theoretical and Applied Genetics. Theoretische Und Angewandte Genetik
|January 11, 2014
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Summary
This summary is machine-generated.

A new method calculates average inbreeding coefficients during recurrent selection using identity by descent measures. This aids in understanding how population size and linkage affect inbreeding and homozygosity over breeding cycles.

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Area of Science:

  • Quantitative genetics
  • Population genetics

Background:

  • Recurrent selection is a key breeding strategy for improving populations.
  • Quantifying inbreeding is crucial for managing genetic diversity and avoiding inbreeding depression.

Purpose of the Study:

  • To develop a method for calculating average inbreeding coefficients per breeding cycle.
  • To provide a framework for analyzing the impact of genetic factors on inbreeding accrual.

Main Methods:

  • Defined digametic, trigametic, and quadrigametic measures based on identity by descent.
  • Derived recurrence formulas for one-locus and two-locus inbreeding coefficients.
  • Calculated numerical values for the probability of double identity by descent.

Main Results:

  • The study presents a method to determine average inbreeding coefficients at the end of each breeding cycle.
  • Formulas were derived for one-locus (digametic) and two-locus (trigametic and quadrigametic) cases.
  • Numerical examples illustrate the influence of linkage and population size on inbreeding and homozygosity.

Conclusions:

  • The presented method effectively quantifies inbreeding in populations under recurrent selection.
  • Population size and genetic linkage significantly influence the rate of inbreeding and the increase in homozygosity.