Abstract
Original language | English |
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Title of host publication | Cellular Automata |
Place of Publication | Berlin |
Publisher | Springer |
Pages | 765-774 |
Number of pages | 10 |
Volume | 3305 |
ISBN (Print) | 0302-9743 |
DOIs | |
Publication status | Published - 2004 |
Publication series
Name | Lecture Notes in Computer Science |
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Publisher | Springer |
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Timescale separated pollination-colonisation models. / Stewart-Cox, J A; Britton, Nicholas F; Mogie, M.
Cellular Automata. Vol. 3305 Berlin : Springer, 2004. p. 765-774 (Lecture Notes in Computer Science).Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - Timescale separated pollination-colonisation models
AU - Stewart-Cox, J A
AU - Britton, Nicholas F
AU - Mogie, M
N1 - From the proceedings of the 6th International Conference on Cellular Automata for Research and Industry, ACRI 2004, Amsterdam, The Netherlands, October 25-28, 2004.
PY - 2004
Y1 - 2004
N2 - In flowering plant species con-specifies of distinct type may cross-pollinate. The type of offspring that result depends on both the pollen donor and the parent that produces the seed. Within a cellular automaton framework, this process fundamentally requires consideration of triplets of cells: a pollen donor, a seed producer, and a empty cell to be colonised. Such a triplet process cannot be captured by the standard second order analytical tool of pair approximation. We propose a general cellular automaton model for an arbitrary number of inter-pollinating con-specifics. Time scale separation between the dynamics of distinct pollination and colonisation processes permits aggregation of variables in mean field and pair approximation characterisations. The aggregated pair approximation successfully captures the triplet processes at work in the cellular automaton model.
AB - In flowering plant species con-specifies of distinct type may cross-pollinate. The type of offspring that result depends on both the pollen donor and the parent that produces the seed. Within a cellular automaton framework, this process fundamentally requires consideration of triplets of cells: a pollen donor, a seed producer, and a empty cell to be colonised. Such a triplet process cannot be captured by the standard second order analytical tool of pair approximation. We propose a general cellular automaton model for an arbitrary number of inter-pollinating con-specifics. Time scale separation between the dynamics of distinct pollination and colonisation processes permits aggregation of variables in mean field and pair approximation characterisations. The aggregated pair approximation successfully captures the triplet processes at work in the cellular automaton model.
UR - http://dx.doi.org/978-3-540-23596-5
U2 - 978-3-540-23596-5
DO - 978-3-540-23596-5
M3 - Chapter
SN - 0302-9743
VL - 3305
T3 - Lecture Notes in Computer Science
SP - 765
EP - 774
BT - Cellular Automata
PB - Springer
CY - Berlin
ER -