Mating behavior, population growth, and the operational sex ratio : a periodic two‐sex model approach
MetadataShow full item record
KeywordTwo‐sex periodic matrix model; Population structure; Population growth rate; Mating systems; Sex ratio; Emperor penguin
We 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.
Author 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.
Suggested CitationArticle: Jenouvrier, Stephanie, Caswell, Hal, Barbraud, Christophe, Weimerskirch, Henri, "Mating behavior, population growth, and the operational sex ratio : a periodic two‐sex model approach", American Naturalist 175 (2010): 739-752, DOI:10.1086/652436, https://hdl.handle.net/1912/3911
Showing items related by title, author, creator and subject.
Shyu, Esther (Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 2015-09)Males and females may differ in stage-specific survival, maturation, fertility, or mating availability. These demographic differences, in turn, affect population growth rates, equilibrium structure, and evolutionary ...
Frequency-dependent two-sex models : a new approach to sex ratio evolution with multiple maternal conditions Shyu, Esther; Caswell, Hal (John Wiley & Sons, 2016-09-07)Mothers that experience different individual or environmental conditions may produce different proportions of male to female offspring. The Trivers-Willard hypothesis, for instance, suggests that mothers with different ...
Caswell, Hal; Shyu, Esther (2012-04)Periodic matrix models are frequently used to describe cyclic temporal variation (seasonal or interannual) and to account for the operation of multiple processes (e.g., demography and dispersal) within a single projection ...