Author:
Cowan Richard,Tsang Albert K. L.
Abstract
Consider a forest of maple trees in autumn, with leaves falling on the ground. Those coming late cover the others below, so eventually the fallen leaves form a statistically homogeneous spatial pattern. In particular, the uncovered leaf boundaries form a mosaic. We formulate a mathematical model to describe this mosaic, firstly in the case where the leaves are polygonal and later for leaves with curved boundaries. Mean values of certain statistics of the mosaic are derived.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference19 articles.
1. Random Johnson-Mehl tessellations
2. Homogeneous line-segment processes
3. Formulas for stationary planar fibre processes I. General theory;Mecke;Math. Operationsf. Statist. Ser. Statist.,1980
4. Objects arranged randomly in space: an accessible theory
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