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Title Transcription
ゲンタンリツ ト チョッケイ セイチョウ ノ カンケイ ダイ1ポウ アタラシイ ゲンタンリツ モデル ノ ユウドウ
Title Alternative (English)
Relation between "Gentan Probability" and "Diameter Growth"(1) : Derivation of new "Gentan Probability" Models
File
language
jpn
Author
Yamamoto, Mitsuo
Description
1. "Gentan probability" q(j) is the probability that a initial forest will be reserved till j age-class and will be cut in the same j age-class. The probability q(j) is the life span distribution of forest stands in a district. In almost all countries, at present, each individual owner of forests is treating his forests of his own will. So q(j) is considered as a kind of waiting time up to the first replacement. Now we assume that a forest stand will be harvested when the mean diameter is k mm wide. q(j) is considered as the probability that the tree becames k mm across at j age-class. And it imparts a new meaning to q(j), as a waiting time untill the tree becames k mm across. Therefore, we can interpret "diameter growth" and "Gentan probability" in the same model, such as Fig. 1.
2. Applying the Markov Chain theories, the auther derived two formulas which give the life span distribution of forest stands as well as Suzuki's one*.
* F_k(t)=(M<(Mt)>^^^<k-1>)/((k-1)!) exp[-Mt]
F_k(t)=(N<(1-e^<-ct>)>^^^<k-1>/((k-1)!) exp[-N(1-e^<-ct>)]Nce^<-ct>
F_k(t)=(N!c)/(k-1)!(N-k)i <(e^<-ct>)>^^^<N-k+1><(1-e^<-ct>)>^^^<k-1>
Journal Title
Bulletin of the Faculty of Agriculture, Shimane University
Volume
15
Start Page
42
End Page
46
ISSN
0370940X
Published Date
1981-12-15
NCID
AN00108015
Publisher
島根大学農学部
Publisher Aalternative
Shimane University, Faculty of Agriculture
NII Type
Departmental Bulletin Paper
OAI-PMH Set
Faculty of Life and Environmental Science
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