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タイトルヨミ
コンゴウ マルコフ カテイ オ オウヨウシタ ホンスウ キョクセン ノ ユウドウ
日本語以外のタイトル
Derivation of Tree-Number Curve Applied the Markov Chain Theories
ファイル
言語
日本語
著者
稲田 充男
内容記述(抄録等)
Applying the Markov Chain theories,the auther derived the formual for treenumber curve in even-aged forest stands. The assumptions for this derivation are that a forest tree will be cutted when the cumulative cutting condition for the tree counts k times,and that each tree of the stand will increases its condition M times in average for a unit time interval. Under these assumptions, the auther derived the probability functions
f_k(t)=(<(Mt)>^k)/(k!)・exp[-Mt]
F_k(t)=(M<<(Mt)>_k>^-1)/((k-1)!)・exp[-Mt],
where f_k(t) is the probability function which the cutting condition for a tree counts k times across during t unit time interval. f_k(t) is the probability function which the cutting condition for a tree counts k times at exactly t time unit. This F_k(t) gives the life span distribution of forest trees. According to this life span distribution, the auther derived the probability function
r(j)=<∫_j>^∞ (M<(Mt)>^<k-1>)/((k-1)!)・exp[-Mt] dt,
where r(j) is the probability which a tree will remain over j years old. This function is reduced to the well-known X^2 distribution. Multipling r(j) and the initial number of trees N_0, we can estimate the tree-number curve in an eyen-aged forest stand.
掲載誌名
島根大学農学部研究報告
24
開始ページ
17
終了ページ
20
ISSN
0370940X
発行日
1990-12-21
NCID
AN00108015
出版者
島根大学農学部
出版者別表記
Shimane University, Faculty of Agriculture
資料タイプ
紀要論文
部局
生物資源科学部
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