AIC value of the generalized linear models (family: Poisson) fitted to the summer and winter distributions of recursion times.

λ: Poisson law parameter;t: time in hours; k: integer ranging from 0 to 23;α0, α1, α2, α3: fitted parameters;*: best AIC value for the season.Models M1 to M3 do not oscillate with time. Models M4-k and M5-k include a cosine (or log-cosine) function of 24-h period, and a parameter (k) specifying the time at which the first maximum occurs; they reduce to model M3 when α3 = 0; their respective AIC values were calculated for all the integer values of k between 0 and 23. The smallest AIC value was obtained with model M5-k for summer and model M4-k for winter, in both cases for k = 3, implying that the envisaged models that best fit the data exhibited maximums every 24 h minus 3 h.