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Branching process with emigration--a genetic model.

S C Gupta1, O P Srivastava, M Singh

  • 1Department of Mathematics and Statistics, Harayana Agricultural University, Hisar, India.

Mathematical Biosciences
|September 1, 1992
PubMed
Summary
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This study proposes a genetic improvement solution using assortative mating and branching processes. The model effectively manages populations by culling undesirable genes, applicable to diploid and multilocus scenarios.

Area of Science:

  • Population genetics
  • Mathematical biology
  • Quantitative genetics

Background:

  • Assortative mating is a key factor in genetic improvement strategies.
  • Branching processes offer a framework for modeling population dynamics.
  • Controlling undesirable genes is crucial for genetic enhancement.

Purpose of the Study:

  • To propose a novel solution for genetic improvement problems.
  • To model genetic selection under assortative mating.
  • To incorporate population dynamics with culling into genetic models.

Main Methods:

  • Utilizing a branching process model.
  • Incorporating a generation-dependent emigration component.
  • Applying the model to a diploid population with two alleles at a single locus.

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Main Results:

  • The proposed model provides a method for genetic improvement.
  • The technique effectively handles populations subject to culling.
  • The model's applicability to multilocus cases is demonstrated.

Conclusions:

  • The developed branching process model offers a viable approach to genetic improvement.
  • The model successfully integrates assortative mating and culling mechanisms.
  • The framework is adaptable for more complex genetic scenarios, including multilocus systems.