A MATHEMATICAL ANALYSIS OF THE STEPPING STONE MODEL OF GENETIC CORRELATION

Abstract

The correlation coefficient between members of any two colonies is analyzed out of an infinite ensemble of colonies. It is assumed that each colony has the same number of members, that migration takes place between the different colonies, and that there is a constant rate of mutation in each colony. An explicit formula is derived for the correlation function and the long distance form of this function is derived. It is shown that under rather weak restrictions on the pattern of migration the asymptotic form of the correlation function is characteristic of the dimension of the model.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0411876

Entities

People

  • George H. Weiss
  • Motoo M. Kimura

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Applied Mathematics
  • Bessel Functions
  • Coefficients
  • Computational Science
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Habitats
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Migration
  • Probability
  • Random Variables
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

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  • Molecular and genetic basis of cancer.
  • Theoretical Analysis.

Technology Areas

  • Biotechnology