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Optimal allocation strategies of perennial plants

Title data

Mironchenko, Andrii ; Kozłowski, Jan:
Optimal allocation strategies of perennial plants.
In: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC 2013) : Proceedings. - Piscataway, NJ, USA : IEEE , 2013 . - pp. 3361-3366
ISBN 978-1-4673-5714-2
DOI: https://doi.org/10.1109/CDC.2013.6760397

Official URL: Volltext

Abstract in another language

In this paper we propose a novel optimal allocation model for perennial plants. We consider not only favorable for photosynthesis periods, but analyze the whole life of a perennial plant. This provides more information about strategies of a plant during transitions between favorable and unfavorable seasons. One of predictions of our 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 by assuming that a plant controls not only a distribution of carbohydrates, but also a 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.

Further data

Item Type: Article in a book
Refereed: Yes
Keywords: biological systems; optimal control; modeling; perennial plants
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 07 Mar 2025 11:05
Last Modified: 07 Mar 2025 11:05
URI: https://eref.uni-bayreuth.de/id/eprint/92683