Replication via sporulation is the replication strategy for all multicellular existence, and may even be observed in unicellular life such as with budding yeast. We have regard for diploid populations replicating via rhyme of two possible sporulation mechanisms.
The haploid gametes enter a haploid "pool," where they may recombine with other haploids to form a diploid spore that then grows into an of age. We consider a haploid fusion rate given by second-order reciprocation kinetics. We work with a simplified model where the diploid genome consists of only two chromosomes, each of which may be rendered defective with a single point mutation of the wild-type.
We find that the asexual strategy is favored when the rate of spore origination is high compared to the characteristic growth rate from a spore to a reproducing of age. Conversely, the sexual strategy is favored when the rate of spore production is low compared to the characteristic growth classify from a spore to a reproducing adult.
As the representative growth time increases, or as the population density increases, the critical ratio of spore shaping rate to organism growth amount at which the asexual scheme overtakes the sexual one is pushed to higher values.
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