The number of
Unaspis yanonensis individuals on every leaf or fruit of 38 citrus trees were counted in an experimental field. By using these data, it was clarified statistically that the density of
U. yanonensis between trees changed according to a gamma distribution and the number of individuals on each leaf or each fruit within a tree changed according to a negative binomial distribution. These information will be used to build a system model and to set up the initial situation by using random numbers generated by the statistical distributions. Biological implications of the parameters contained in those statistical distributions were discussed; especially it was found that the value of parameter
k of the negative binomial distribution, which fitted with the observed count of
U. yanonensis individuals, changed with the density on trees, but the value “
k/the density” did not change between trees. Based on this finding, a simpler method to estimate the density by using the 0-term of negative binomial distribution was derived. The relationship between the density per leaf and that per fruit was well represented by a regression line. The aggregation of individuals on leaves was higher than that on fruit. The effect of pruning of citrus tree on the density and distribution of
Unaspis was also studied.
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