島根大学農学部研究報告

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島根大学農学部研究報告 15
1981-12-15 発行

Bacillus thuringiensisのマイマイガの幼虫に対する毒性 : Patwary-Haleyの数学的モデルによる解析

Toxicity of Bacillus thuringiensis to Larvae of the Gypsy Moth : Fitting a Mathematical Model Proposed by Patwary and Haley
長澤 純夫
斎藤 修
ファイル
内容記述(抄録等)
Patwary and Haley (1967) proposed a mathematical model for estimating the parameters of a tolerance distribution when the dose is subject to error of administration. Using an artificial data, they discussed a particular case when observation is quantal response and the errors in dose follow the Poisson law, and presented a computational routine. Fitting trial of the model to the quantal toxicity test data of Bacillus thuringiensis for larvae of the gypsy moth, Lymantria disper, was made, since the active ingredients of BT formulation are discrete values and error in dose may follow a Poisson distribution, with mean equal to the nominal dose. Iterative calculations gave the good estimates of parameters and the median lethal concentration. Similar good results were also obtained in the data tested toxicities of BT formulation on the pine caterpillar, Dendrolimus spectabilis, and the fall webworm, Hyphantria cunea.