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島根大学農学部研究報告 Volume 27
published_at 1993-12-20
松くい虫被害量推移モデルの誘導とその適合性
The Simulation Model for the Dynamics of Wood Volume Damaged by the Pine Wilt Disease
Inada Mitsuo
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Descriptions
This paper is intended to present a model for describing the dynamics of actual wood volume damaged by the pine wilt disease. Applying the KERMACK-MCKENDRICK epidemic curve (1927), the author derived the simulation model which can be written as follows ;
f(t)=M sech2{k(t-τ)}
where M, maximum of wood volume damaged by the pine wilt disease (m3); k, intrinsic rate (year-l); τ, time of maximum damaged volume (year); t, time (year), and f(t), damaged volume at time t (m3). The simulation model was fitted to observed data of wood volume damaged by the pine wilt disease from 1973 to 1990 in Shimane Prefecture and Hikawa-cho respectively and was tested its applicability.
f(t)=M sech2{k(t-τ)}
where M, maximum of wood volume damaged by the pine wilt disease (m3); k, intrinsic rate (year-l); τ, time of maximum damaged volume (year); t, time (year), and f(t), damaged volume at time t (m3). The simulation model was fitted to observed data of wood volume damaged by the pine wilt disease from 1973 to 1990 in Shimane Prefecture and Hikawa-cho respectively and was tested its applicability.
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