Coninuous migration model with stable demography
Technical Report
·
OSTI ID:5375362
A probability model of a population undergoing migration, mutation, and mating in a geographic continuum R is constructed, and an integro-differential equation is derived for the probability of genetic identity. The equation is solved in one case, and asymptotic analysis done in others. Individuals at x,y epsilon R in the model mate with probability V(x,y)dt in any time interval (t,t+dt). In two dimensions, if V(x,y) = V(x-y) where V(x) approx. = V(x/..beta..)/..beta../sup 2/ approaches a delta function, the equilibrium probability of identity vanishes as ..beta.. ..-->.. 0. The asymptotic rate at which this occurs is found for mutation rates u identical with u/sub 0/ > 0 and for ..beta.. approx. = Cu/sub ..cap alpha../, ..cap alpha.. > 0, and u ..-->.. 0.
- Research Organization:
- Washington Univ., Seattle (USA)
- OSTI ID:
- 5375362
- Report Number(s):
- DOE/EV/71005-51; RLO-2225-5-51
- Country of Publication:
- United States
- Language:
- English
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