A mathematical model for the territorial competition of the subterranean termites Coptotermes formosanus and Reticulitermes flavipes (Isoptera: Rhinotermitidae)

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The foraging territories of two subterranean termites, Coptotermes formosanus Shiraki and Reticulitermes flavipes (Kollar), were simulated using a two-dimensional model to explore how territorial competition changes according to two variables characterizing territory formation: the total number of territories, and the blocking probability. Meanwhile, the blocking probability quantitatively describes the likelihood that a tunnel will be terminated when another tunnel is encountered. In our previous study, we introduced an interference coefficient γ to characterize territorial competition, and obtained γ as a function of the total number of territories and the blocking probability for a single termite species by model simulation. In the field, the territorial competition of more than two termite species is frequently observed. Here, we extended the γ function to be able to explain the competition between the two species by applying statistical regression to the simulation data. Further, we statistically checked the extended γ function by comparing the γ function for a single species. We also discuss another approach to mathematically derive the extended γ function, which can be easily generalized for use in cases of territorial competition involving more than two termite species.
Publisher
SPRINGER JAPAN KK
Issue Date
2014-11
Language
English
Article Type
Article
Keywords

LANDSCAPE STRUCTURE; MANGROVE TERMITES; SIZE DISTRIBUTION; SIMULATION; LOUISIANA

Citation

APPLIED ENTOMOLOGY AND ZOOLOGY, v.49, no.4, pp.579 - 590

ISSN
0003-6862
DOI
10.1007/s13355-014-0291-x
URI
http://hdl.handle.net/10203/194881
Appears in Collection
ME-Journal Papers(저널논문)
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