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Probability functions for components of the Dendroctonus frontalis —Host tree population system and their potential use with population models
Author(s) -
Fargo W. S.,
Wagner T. L.,
Coulson R. N.,
Cover J. D.,
McAudle T.,
Schowalter T. D.
Publication year - 1982
Publication title -
population ecology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.819
H-Index - 59
eISSN - 1438-390X
pISSN - 1438-3896
DOI - 10.1007/bf02515594
Subject(s) - statistics , population , biology , weibull distribution , tree (set theory) , mathematics , cumulative distribution function , histogram , probability density function , computer science , combinatorics , artificial intelligence , demography , sociology , image (mathematics)
Summary Detailed investigation of the within‐tree population system of Dendroctonus frontalis Zimmermann has resulted in a large data base consisting of abundance estimates for various life stages. This data base was used to construct histograms for transformed estimates and several life stage indices. Histograms were also constructed for transformed values of adult residence time, brood development time, and several host‐tree characteristics. Probability and cumulative density functions of the Weibull distribution were fitted, in tandem, to the scaled frequencies and interval means for each histogram. The inverse cumulative function is known, and with a uniform random number generator, allows the selection of random deviates from each distribution. This technique can be used for generating initial (starting) values in D. frontalis population models.