The Origin of 2 Sexes Through Optimization of Recombination Entropy Against Time and Energy
Abstract
Description
Sexual reproduction in Nature requires two sexes, which raises the question why the reproductive scheme did not evolve to have three or more sexes. Here we construct a constrained optimization model based on the communication theory to analyze trade-offs among reproductive schemes with arbitrary number of sexes. More sexes on one hand lead to higher reproductive diversity, but on the other hand incur greater cost in time and energy for reproductive success. Our model shows that the two-sexes reproduction scheme maximizes the recombination entropy-to-cost ratio, and hence is the optimal solution to the problem.
10 pages 5 figures. to appear in Bulletin of Mathematical Biology
10 pages 5 figures. to appear in Bulletin of Mathematical Biology