ON A GENERALIZATION OF MORISITA'S MODEL
FOR ESTIMATING THE HABITAT PREFERENCE

CH. A. CHARALAMBIDES AND M. V. K OUTRAS

Department of Mathematics, Section of Statistics and O.R., University of Athens,
Panepistemiopolis, Athens 157 84, Greece

(Received January 27, 1992; revised July 6, 1992)

Abstract.    The Morisita's model for estimating the habitat preference by the ant lions Genuroides japonicus is generalized by introducing, in addition to the environmental densities a and b, a repulsivity parameter theta. The probability function of the number Ln of individuals choosing fine sand to settle when a total of n ant lions are introduced is examined. A heuristic and the minimum chi-square methods for estimating the parameters a, b and theta are discussed.

Key words and phrases:    Eulerian numbers, Gould and Hopper numbers, minimum chi-square estimation, unimodality.

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