ISSN:
1432-1416
Keywords:
Inbreeding
;
Regular mating systems
;
Markov chains
;
Renewal events
;
Graphs of finitely presented semigroups
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract A probabilistic and algebraic treatment of regular inbreeding systems was introduced in Arzberger (1985). In that paper it was shown that (1) regular inbreeding systems can be thought of as graphs of certain semigroups, (2) these graphs reflect a certain natural homogeneity property, (3) a sufficient condition for the population to become genetically uniform is GS 1/A r diverges, where A r is the number of ancestors r generations into the past. In this paper, a specific class of inbreeding systems is studied. For this class, the results of the previous paper are extended to generalized regular inbreeding systems in which overlapping generations in the mating scheme are allowed. A new result about the structure of the set of ancestors of two individuals is presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00276059
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