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dc.contributor.authorJenouvrier, Stephanie  Concept link
dc.contributor.authorCaswell, Hal  Concept link
dc.contributor.authorBarbraud, Christophe  Concept link
dc.contributor.authorWeimerskirch, Henri  Concept link
dc.date.accessioned2010-09-13T14:57:35Z
dc.date.available2011-04-21T08:15:09Z
dc.date.issued2010-04-21
dc.identifier.citationAmerican Naturalist 175 (2010): 739-752en_US
dc.identifier.urihttps://hdl.handle.net/1912/3911
dc.descriptionAuthor Posting. © University of Chicago, 2010. This article is posted here by permission of University of Chicago for personal use, not for redistribution. The definitive version was published in American Naturalist 175 (2010): 739-752, doi:10.1086/652436.en_US
dc.description.abstractWe present a new approach to modeling two‐sex populations, using periodic, nonlinear two‐sex matrix models. The models project the population growth rate, the population structure, and any ratio of interest (e.g., operational sex ratio). The periodic formulation permits inclusion of highly seasonal behavioral events. A periodic product of the seasonal matrices describes annual population dynamics. The model is nonlinear because mating probability depends on the structure of the population. To study how the vital rates influence population growth rate, population structure, and operational sex ratio, we used sensitivity analysis of frequency‐dependent nonlinear models. In nonlinear two‐sex models the vital rates affect growth rate directly and also indirectly through effects on the population structure. The indirect effects can sometimes overwhelm the direct effects and are revealed only by nonlinear analysis. We find that the sensitivity of the population growth rate to female survival is negative for the emperor penguin, a species with highly seasonal breeding behavior. This result could not occur in linear models because changes in population structure have no effect on per capita reproduction. Our approach is applicable to ecological and evolutionary studies of any species in which males and females interact in a seasonal environment.en_US
dc.description.sponsorshipH.C. acknowledges support from the National Science Foundation (DEB-0343820 and DEB-0816514) and the Ocean Life Institute and the hospitality of the Max Planck Institute for Demographic Research.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.publisherUniversity of Chicago Pressen_US
dc.relation.urihttps://doi.org/10.1086/652436
dc.subjectTwo‐sex periodic matrix modelen_US
dc.subjectPopulation structureen_US
dc.subjectPopulation growth rateen_US
dc.subjectMating systemsen_US
dc.subjectSex ratioen_US
dc.subjectEmperor penguinen_US
dc.titleMating behavior, population growth, and the operational sex ratio : a periodic two‐sex model approachen_US
dc.typeArticleen_US
dc.identifier.doi10.1086/652436


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