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Optimizing reproduction in a randomly varying environment
Authors:D Cohen
Affiliation:1. Department of Human Genetics, University of Chicago, Chicago, IL, USA;2. Department of Biostatistics and Center for Statistical Genetics, University of Michigan, Ann Arbor, MI, USA;3. Department of Psychiatry, University of Michigan, Ann Arbor, MI, USA;1. Laboratory of Seeds Molecular Biology, Institute of Biochemistry and Biophysics, PAS, 02-106 Warsaw, Poland;2. Laboratory of Functional and Structural Genomics, Centre of New Technologies, University of Warsaw, Warsaw, Poland;3. Laboratory of Bioinformatics and Computational Genomics, Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland;4. Labdeers Ltd., 680-01 Boskovice, Czech Republic
Abstract:A model is constructed of optimizing long-term growth rate in a randomly varying environment. Specifically, the model is of an annual plant, the seeds of which can either germinate and yield more seeds in numbers which depend on environmental conditions, or remain dormant in the soil and undergo some decay according to their viability. The optimal germination fraction is derived for any combination of probabilities of the yield of seeds per germinating seed, and of various values of the viability of the seeds. The relevance of the model is discussed.
Keywords:
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