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Dynamical Calling Behavior Experimentally Observed in Japanese Tree Frogs (Hyla japonica)
Ikkyu AIHARA Shunsuke HORAI Hiroyuki KITAHATA Kazuyuki AIHARA Kenichi YOSHIKAWA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E90A
No.10
pp.21542161 Publication Date: 2007/10/01 Online ISSN: 17451337
DOI: 10.1093/ietfec/e90a.10.2154 Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications) Category: Nonlinear Phenomena and Analysis Keyword: Japanese tree frogs, calling behavior, synchronization, recurrence plot,
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Summary:
We recorded time series data of calls of Japanese tree frogs (Hyla japonica; NihonAmaGaeru) and examined the dynamics of the experimentally observed data not only through linear time series analysis such as power spectra but also through nonlinear time series analysis such as reconstruction of orbits with delay coordinates and different kinds of recurrence plots, namely the conventional recurrence plot (RP), the isodirectional recurrence plot (IDRP), and the isodirectional neighbors plot (IDNP). The results show that a single frog called nearly periodically, and a pair of frogs called nearly periodically but alternately in almost antiphase synchronization with little overlap through mutual interaction. The fundamental frequency of the calls of a single frog during the interactive calling between two frogs was smaller than when the same frog first called alone. We also used the recurrence plots to study nonlinear and nonstationary determinism in the transition of the calling behavior. Moreover, we quantified the determinism of the nonlinear and nonstationary dynamics with indices of the ratio R of the number of points in IDNP to that in RP and the percentage P_{D} of contiguous points forming diagonal lines in RP by the recurrence quantification analysis (RQA). Finally, we discuss a possibility of mathematical modeling of the calling behavior and a possible biological meaning of the call alternation.

