The diffusion model for migration and selection in a plant population |
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Authors: | Thomas Nagylaki |
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Institution: | (1) Department of Ecology and Evolution, The University of Chicago, 1101 East 57th Street, Chicago, Illinois 60637, USA, US |
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Abstract: | The diffusion approximation is derived for migration and selection at a multiallelic locus in a partially selfing plant population
subdivided into a lattice of colonies. Generations are discrete and nonoverlapping; both pollen and seeds disperse. In the
diffusion limit, the genotypic frequencies at each point are those determined at equilibrium by the local rate of selfing
and allelic frequencies. If the drift and diffusion coefficients are taken as the appropriate linear combination of the corresponding
coefficients for pollen and seeds, then the migration terms in the partial differential equation for the allelic frequencies
have the standard form for a monoecious animal population. The selection term describes selection on the local genotypic frequencies.
The boundary conditions and the unidimensional transition conditions for a geographical barrier and for coincident discontinuities
in the carrying capacity and migration rate have the standard form. In the diallelic case, reparametrization renders the entire
theory of clines and of the wave of advance of favorable alleles directly applicable to plant populations.
Received 30 August 1995; received in revised form 23 February 1996 |
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Keywords: | : Clines Wave of advance Plants Migration Selection |
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