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First, the following equation is assumed for the decreasing process of stand density from the initial condition: (1/ρ) dρ/ dt=-λmρ/ρ0, λm=m{t^(m- 1)}/α. Here, ρ is the stand density, ρ₀ the initial stand density, t the time, and m and α the constants. The solution of this equation is : ρ₀ /ρ= 1 +(t^ m)/α. Second, the following equation is assumed for the growth process of the stand from the imitial condition; (1/υ₀) dυ/dt= λ₀ m{t^(m - 1)}/α. Here, υ is the mean stem-volume and υ₀ the initial value of υ.The solution of this equation is given as: υ/υ₀ = 1 +λ₀ (t^m)/α. Here, m and α are the same values in the case of formula ρ(t). The results of the fitting above formula for the stand density and time data of SPURR et al. yield the each coefficients of formula ρ(t). Thus, m value is given as: m=3. The results of eliminating (t^m/α) from these ρ(t) and υ(t) equations yield the following formula: 1/ρ=Aυ+B, A=1/(λ₀ρ₀υ₀), B=(λ₀-1)/(λ₀ρ₀). This equation is simplest in equations of υ-ρ trajectry before reaching the full-density curve. and it is a kind of TADAKI type equation. 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同種・同齢林の成長関係 : 自然枯死線
http://hdl.handle.net/10076/3187
http://hdl.handle.net/10076/31871bca750d-9536-41a4-a284-92db7b8750cb
名前 / ファイル | ライセンス | アクション |
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AN100738460000502.pdf (798.1 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2007-05-16 | |||||
タイトル | ||||||
言語 | ja | |||||
タイトル | 同種・同齢林の成長関係 : 自然枯死線 | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | growth curve | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | stand density | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | mortarity | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | stem-volume | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | full-density curve | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
林, 拙郎
× 林, 拙郎 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A discussion on a υ-ρ trajectory before reaching a full-density curve is given.This υ-ρ trajectory is derived from υ-t and ρ-t curves. First, the following equation is assumed for the decreasing process of stand density from the initial condition: (1/ρ) dρ/ dt=-λmρ/ρ0, λm=m{t^(m- 1)}/α. Here, ρ is the stand density, ρ₀ the initial stand density, t the time, and m and α the constants. The solution of this equation is : ρ₀ /ρ= 1 +(t^ m)/α. Second, the following equation is assumed for the growth process of the stand from the imitial condition; (1/υ₀) dυ/dt= λ₀ m{t^(m - 1)}/α. Here, υ is the mean stem-volume and υ₀ the initial value of υ.The solution of this equation is given as: υ/υ₀ = 1 +λ₀ (t^m)/α. Here, m and α are the same values in the case of formula ρ(t). The results of the fitting above formula for the stand density and time data of SPURR et al. yield the each coefficients of formula ρ(t). Thus, m value is given as: m=3. The results of eliminating (t^m/α) from these ρ(t) and υ(t) equations yield the following formula: 1/ρ=Aυ+B, A=1/(λ₀ρ₀υ₀), B=(λ₀-1)/(λ₀ρ₀). This equation is simplest in equations of υ-ρ trajectry before reaching the full-density curve. and it is a kind of TADAKI type equation. In addition, the υ-t, ρ-t and υ-ρ equations are derived too in case of consideration of goal values (V) and (ρ). ρ(t) equation is related to equation υ(t) except for the growth coefficient in the following way :ρ∝1/υ(symbol z^x/α represents zx /αin the avobe formula). | |||||
書誌情報 |
三重大学生物資源学部紀要 = The bulletin of the Faculty of Bioresources, Mie University 巻 5, p. 9-22, 発行日 1991-01-31 |
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ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0915-0471 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN10073846 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 471 | |||||
その他のタイトル | ||||||
en | ||||||
Growth Relationship of Even‐aged Pure Stands : υ-ρ Trajectory Before Reaching to the Full‐density Curve | ||||||
出版者 | ||||||
出版者 | 三重大学生物資源学部 | |||||
ノート | ||||||
Agropedia提供データ | ||||||
資源タイプ(三重大) | ||||||
Departmental Bulletin Paper / 紀要論文 |