Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2011-03-22
Biology
Quantitative Biology
Populations and Evolution
Scientific paper
In this paper we consider optimal allocation problem for the perennial plants. We do not restrict ourselves to consider only the periods favorable for photosynthesis, but analyze the whole life period of a perennial plant. This provides more information about the strategies of a plant during transitions between the favorable and unfavorable seasons. One of predictions of the model is that a plant can begin re-establishment of vegetative tissues some time before the beginning of the favorable conditions, so as to come into the better environmental conditions with a certain amount of already developed vegetative tissues. In the second part of the paper we extend the model developed in previous sections to the case, when the plant controls not only the distribution of allocated carbohydrates, but also the size of a seed. We provide sufficient conditions under which the optimal strategy for a plant is to produce as much seeds as possible. These results can be applied in particular for colonizing species and plants living in open environments. The opposite strategy, namely to produce the seeds as large as possible, was also considered.
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