PERIODIC LOGISTIC REGRESSION

We show how to use logistic regression in situations where the phenomenon under consideration is periodic, i.e., follows a cyclic pattern. The method is illustrated by using data for the snail Potamopyrgus antipodarum, which exhibits a 24-hr periodic pattern of foraging. Snails are found on the top or bottom of rocks, depending on time of day. We show how periodic logistic regression models can be fitted simultaneously to several groups of data, taking into account that the groups may exhibit similar (but not identical) cyclic patterns. The proposed procedure is applicable to ecological studies that analyze the variability in a dichotomous response variable exhibiting a cyclic pattern over time.

[1]  F. Hawking The 24-hour periodicity of microfilariae: biological mechanisms responsible for its production and control , 1967, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[2]  P. Hine,et al.  The population biology of the acanthocephalan Pomphorhynchus laevis (Müller) in the River Avon , 1974 .

[3]  M. Hori,et al.  Frequency-Dependent Natural Selection in the Handedness of Scale-Eating Cichlid Fish , 1993, Science.

[4]  J. C. Chubb Seasonal occurrence and maturation of Triaenophorus nodulosus (Pallas, 1781) (Cestoda: Pseudophyllidea) in the Pike Esox lucius L. of Llyn Tegid , 1963, Parasitology.

[5]  J. Harper,et al.  Studies on plant demography Ranunculus repens L., R. bulbosus L. and R. acris L. I. Population flux and survivorship , 1973 .

[6]  D. Collett Modelling Binary Data , 1991 .

[7]  Kennedy Cr Seasonal incidence and development of the cestode Caryophyllaeus laticeps (Pallas) in the River Avon , 1969, Parasitology.

[8]  Annette J. Dobson,et al.  An introduction to generalized linear models , 1991 .

[9]  C. Lively,et al.  The effects of size, reproductive condition, and parasitism on foraging behaviour in a freshwater snail, Potamopyrgus antipodarum , 1996, Animal Behaviour.

[10]  Joel C. Trexler,et al.  Nontraditional Regression Analyses , 1993 .

[11]  D. Hosmer,et al.  Applied Logistic Regression , 1991 .

[12]  A. Taylor,et al.  Ecological studies of some parasites of plaice Pleuronectes platessa L. and flounder Platichthys flesus (L.). , 1970 .