Detecting Periodicity in Quantitative versus Semi-Quantitative Time Series

Stockwell, Jason D.; Burkey, Tormod V.; Cazelles, Bernard; Ménard, Frédéric; Ascioti, Fortunato A.; Himschoot, Patricia; Wu, Jieying

doi:10.1007/978-1-4615-6881-0_8

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“…One should also note that the proposed approach which is intended to analyse the coherence between the rhythm of time series could be easily extended to apply to semi‐quantitative datasets simply by changing the rules of the partition (e.g. Stockwell et al. 1995).…”

Section: Discussionmentioning

confidence: 99%

Symbolic dynamics for identifying similarity between rhythms of ecological time series

Cazelles

2004

Ecology Letters

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Explaining the associations between animal populations or between population and environmental signals is an important challenge. The time series that quantify animal populations are often complex, nonlinear, noisy and non-stationary. These characteristics may make it inappropriate to use traditional techniques when analysing these time series and their mutual dependencies. Here I propose to use symbolic dynamics and techniques from Information Theory to evaluate the degree of dynamic cohesion between time series fluctuations. The main idea is to check whether two (or more) signals tend to oscillate simultaneously, rising and falling together with the same rhythm. Based on synthetic and real time series, I demonstrate that this method is robust to the presence of noise and to the short length of the analysed time series and gives relevant information about the weak relationships between different series. Furthermore, this method appears as simple as classical cross-correlation and outperforms it in the analysed examples.

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Section: Discussionmentioning

confidence: 99%