Skip to main content
Log in

Continuous-time Markov chains as models for animal behaviour

  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

A survey is given of the application of (functions of) continuous-time Markov chains in the statistical analysis of behavioural time series.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature

  • Basawa, I. V. and B. L. S. Prakasa Rao. 1980.Statistical Inference for Stochastic Processes. London: Academic Press.

    Google Scholar 

  • Berk, R. H. and A. Cohen. 1979. “Asymptotically Optimal Methods of Combining Tests.”J. Am. statist. Assoc. 74, 812–814.

    Article  MATH  MathSciNet  Google Scholar 

  • Billingsley, P. 1961.Statistical Inference for Markov Process. Chicago, IL: University of Chicago Press.

    Google Scholar 

  • Cane, V. R. 1978. “On Fitting Low Order Markov Chains to Behaviour Sequences.”Anim. Behav. 26, 332–338.

    Article  Google Scholar 

  • Cox, D. R. and R. A. W. Lewis. 1966.The Statistical Analysis of Series of Events. London: Methuen.

    Google Scholar 

  • — and —. 1972. “Multivariate Point Processes.”Proc. 6th Berkeley Sympl. 3 401–448.

    MATH  MathSciNet  Google Scholar 

  • Dienske, H. and J. A. J. Metz. 1977. “Mother-Infant Body Contact in Macques; a Time Interval Analysis.”Biol. Behav. 2, 3–37.

    Google Scholar 

  • ——, P. J. C. M. van Luxemburg and G. de Jonge. 1980. “Mother-Infant Interaction in Macques II: Further Steps towards a Representation as a Continuous Time Markov Chain.”Biol. Behav. 5, 61–94.

    Google Scholar 

  • Erickson, R. V. 1970. “Functions of Markov Chains.”Ann. math. Statist. 41, 843–850.

    MATH  MathSciNet  Google Scholar 

  • Goosen, C. and J. A. J. Metz. 1980. “Dissecting Behaviour: Relations between Autoaggression, Grooming and Walking in a Macaque.”Behaviour 75, 97–132.

    Google Scholar 

  • Jonge, G. de and N. Ketel. 1981. “An Analysis of Copulatory Behaviour ofMicrotus agrestis andM. arvalis in Relation to Reproductive Isolation.”Behaviour 78, 227–259.

    Google Scholar 

  • Kalman, R. E., P. L. Falb and M. A. Arbib. 1969.Topics in Mathematical Systems Theory. New York: McGraw-Hill.

    Google Scholar 

  • Kemeny, J. G. and L. Snell. 1960. “Finite Markov Chains.” Princeton, NJ: Van Nostrand.

    Google Scholar 

  • Metz, J. A. J. 1974. “Stochastic Models for the Temporal Fine Structure of Behaviour Sequences.” InMotivational Control Systems Analysis, Ed. D. J. McFarland, pp. 5–86. London: Academic Press.

    Google Scholar 

  • — 1977. “State Space Models for Animal Behaviour”Ann. Systems Res. 6, 65–109.

    Google Scholar 

  • Metz, J. A. J. 1981. “Mathematical Representations of the Dynamics of Animal Behaviour.” Ph.D. Thesis, University of Leiden.

  • Miller, R. G. 1981.Simultaneous Statistical Inference, 2nd Edn. Berlin: Springer-Verlag.

    Google Scholar 

  • Nelson, K. 1965. “The Temporal Patterning of Courtship Behaviour in the Glandulocaudine Fishes (Ostariophysi, Characidae)”Behaviour 24, 90–146.

    Google Scholar 

  • Oosterhoff, J. 1969.Combination of One-sided Statistical Tests. Amsterdam: Mathematical Centre.

    Google Scholar 

  • Rosenthal, R. 1978. “Combining Results of Independent Studies.”Psychol. Bull.,85, 185–193.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Metz, H.A.J., Dienske, H., de Jonge, G. et al. Continuous-time Markov chains as models for animal behaviour. Bltn Mathcal Biology 45, 643–658 (1983). https://doi.org/10.1007/BF02459596

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02459596

Keywords

Navigation