Cite this article as: Yixian Song, Stefan Scheu and Barbara Drossel, Geographic parthenogenesis in a consumer-resource model for sexual reproduction, Journal of Theoretical Biology, doi:10.1016Biology, doi:10. /j.jtbi.2010 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.Journal of Theoretical Biology 00 (2010)
AbstractThe phenomenon of geographic parthenogenesis is closely tied to the question of why sexual 1 reproduction is the dominant mode of reproduction in animals and plants. Geographic partheno-2 genesis describes the fact that many species reproduce asexually at the boundaries of their range. 3We present a mathematical model that derives the dominance of sexuals at the center and the 4 dominance of asexuals at the boundary of a species' range from exactly the same mechanism. 5Our model is based on a set of resources that regrow slowly and that can be consumed only 6 by those individuals that have a suitable genotype. Genotype is implemented by a multilocus 7 model with two alleles at each locus, and with free recombination during production of sexual 8 offspring. The model is tailored to seasonal species with intermittent mixis and low survival of 9 offspring, such as Daphnia and aphids. Several patches of resources are arranged in a row, with a 10 gradient of those parameters that typically vary through the range of species. By letting sexually 11 and asexually reproducing populations compete, we obtain the typical patterns of geographic 12 parthenogenesis. 13