No. 1051

Title:

A clustering spatial point process that has a converging second-order moment when dispersal around mothers is repeated over generations

Author(s):

Kenichiro SHIMATANI (The Institute of Statistical Mathematics)

Key words:

genetics, Neyman-Scott process, plant population, reproduction, Thomas process

Abstract:

This paper shows a concrete example of a two-dimensional clustering point process in which clusters are formed by dispersed daughters around mothers and the series of second-order moment functions converges when the dispersal is repeated over generations. The process is a modification of the replicated Thomas process; the dispersal function is not the normal distribution but reduces dispersal to very near from the mother’s position. The point patterns and their spatial coalescence structures are applicable to stable plant populations with limited seed dispersal.