A Model for Mortality in a Self-thinning Plant Population

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Abstract
A model for mortality process in a self-thinning plant population is proposed. It considers the spacial process but does not require positional information of each individual plant due to the assumptions that plants with interacting neighbours all greater than themselves are the first to die and neighbours' sizes are mutually independent at each growth stage. Mortality of plants of size x at age t, M(t, x), is given as M(t, x) = m{P(t, x)}n where P(t, x) is the proportion of plants of size greater than x at age t, and m and n are parameters. This model fits data from an experimental plantation of Abies sachalinensis and will be useful for further development of the theoretical study of plant population growth.

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