TY - JOUR
T1 - Pair-approximation analyses of evolutionarily stable strategies for flowering time in clonal monocarpic plants
AU - Tachiki, Yuuya
AU - Satake, Akiko
N1 - Funding Information:
This work was supported by Grant-in-Aid for JSPS Fellows Number 2542 and JSPS KAKENHI [15H04518] to Y.T. We are grateful to Yuma Sakai, Kazunori Satō and Takenori Takada for useful comments.
Publisher Copyright:
© 2015, The JJIAM Publishing Committee and Springer Japan.
PY - 2015/11/1
Y1 - 2015/11/1
N2 - Clonal plants can employ two distinct reproductive strategies, clonal and sexual reproduction. Bamboos are monocarpic clonal plants that flower after a long-term clonal reproduction, and then die after seed production. To explore the effect of spatial structure formed through clonal reproduction on the evolution of such long flowering intervals, we developed a model for population growth of clonal plants on a regular lattice. We applied the pair-approximation that enables us to obtain a closed form of the dynamics. We derived the condition that an infinitely long flowering interval (a pure clonal strategy) or annual flowering strategy became an evolutionarily stable strategy. We demonstrate that localized dispersal broadens the region in which finite flowering interval evolves. Our finding highlights the importance to take into account the spatial structure on the studies of life history strategy in clonal plants.
AB - Clonal plants can employ two distinct reproductive strategies, clonal and sexual reproduction. Bamboos are monocarpic clonal plants that flower after a long-term clonal reproduction, and then die after seed production. To explore the effect of spatial structure formed through clonal reproduction on the evolution of such long flowering intervals, we developed a model for population growth of clonal plants on a regular lattice. We applied the pair-approximation that enables us to obtain a closed form of the dynamics. We derived the condition that an infinitely long flowering interval (a pure clonal strategy) or annual flowering strategy became an evolutionarily stable strategy. We demonstrate that localized dispersal broadens the region in which finite flowering interval evolves. Our finding highlights the importance to take into account the spatial structure on the studies of life history strategy in clonal plants.
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U2 - 10.1007/s13160-015-0194-4
DO - 10.1007/s13160-015-0194-4
M3 - Article
AN - SCOPUS:84947870526
SN - 0916-7005
VL - 32
SP - 615
EP - 639
JO - Japan Journal of Industrial and Applied Mathematics
JF - Japan Journal of Industrial and Applied Mathematics
IS - 3
ER -