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Mathematical description of within-tree distributions of the various developmental stages ofDendroctonus frontalis Zimm. (Coleoptera: Scolytidae)
Authors:A. M. Mayyasi  P. E. Pulley  R. N. Coulson  D. W. DeMichele  J. L. Foltz
Affiliation:1. Industrial Engineering Department, Texas A & M University, 77843, College Station, Texas, U.S.A.
2. Data Processing Center, Texas A & M University, 77843, College Station, Texas, U.S.A.
3. Entomology Department, Texas A & M University, 77843, College Station, Texas, U.S.A.
Abstract:Probability density functions for the various within-tree developmental life stages of D. frontalis are derived. The differences between some of these distributions are discussed. The possibility of the existence of a negative feed-back mechanism which enables the beetle to make optimum utilization of the available resources is proposed. In addition, the concept of an optimum location on the infested bole where the environmental (tree) conditions are such that maximum survivorship occurs is advanced.
Keywords:Probability Density Function  Resource Utilization  Moment Generate Function  Optimum Utilization  Beetle Population
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