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Faustmann's formula, or the Faustmann model, gives the present value of the income stream for forest rotation. It was derived by the German forester in 1849. The rotation problem, deciding when to cut down the forest, means solving the problem of maximising Faustmann's formula and this was solved by Bertil Ohlin in 1921 to become the Faustmann-Ohlin theorem, although other German foresters were aware of the correct solution in 1860. The Faustmann formula is as follows: From this formula two theorems are interpreted:

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  • Faustmann's formula (en)
  • 福斯特曼模型 (zh)
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  • 福斯特曼公式或福斯特曼模型给出了森林轮作的收入流的现值 。它由德国林务员马丁·福斯特曼 (Martin Faustmann) 于1849年提出。 要解决轮作问题,就需要决定何时砍伐森林,这就意味着要解决如何使福斯特曼公式结果最大化的问题。尽管其他德国林业工作者在1860年也意识到了正确的解决方案,但该问题由伯蒂尔·奥林 (Bertil Ohlin)在1921年正式解决,称为福斯特曼-奥林定理 。 福斯特曼公式如下: 其中: ƒ(T ) 表示时间T 时的木材存量p 表示木材价格,并且是常数这意味着在时间T 的森林价值是pf (T )r是折现率,并且也是常数 从这个公式中可以推论出两个定理: 一片森林的最佳砍伐时间,是当其价值的时间变化率等于森林价值的利息加上土地价值的利息之时。 一片森林的最佳砍伐时间,也是当其价值的时间变化率等于经土地租金调整后的利率之时。 (zh)
  • Faustmann's formula, or the Faustmann model, gives the present value of the income stream for forest rotation. It was derived by the German forester in 1849. The rotation problem, deciding when to cut down the forest, means solving the problem of maximising Faustmann's formula and this was solved by Bertil Ohlin in 1921 to become the Faustmann-Ohlin theorem, although other German foresters were aware of the correct solution in 1860. The Faustmann formula is as follows: From this formula two theorems are interpreted: (en)
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  • Faustmann's formula, or the Faustmann model, gives the present value of the income stream for forest rotation. It was derived by the German forester in 1849. The rotation problem, deciding when to cut down the forest, means solving the problem of maximising Faustmann's formula and this was solved by Bertil Ohlin in 1921 to become the Faustmann-Ohlin theorem, although other German foresters were aware of the correct solution in 1860. ƒ(T) is the stock of timber at time Tp the price of timber and is constantwhich implies that the value of the forest at time T is pf(T)r is the discount rate and is also constant. The Faustmann formula is as follows: From this formula two theorems are interpreted: The optimal time to cut the forest is when the time rate of change of its value is equal to interest on the value of the forest plus the interest on the value of the land.The optimal time to cut is when the time rate of change of its value is equal to the interest rate modified by land rent. (en)
  • 福斯特曼公式或福斯特曼模型给出了森林轮作的收入流的现值 。它由德国林务员马丁·福斯特曼 (Martin Faustmann) 于1849年提出。 要解决轮作问题,就需要决定何时砍伐森林,这就意味着要解决如何使福斯特曼公式结果最大化的问题。尽管其他德国林业工作者在1860年也意识到了正确的解决方案,但该问题由伯蒂尔·奥林 (Bertil Ohlin)在1921年正式解决,称为福斯特曼-奥林定理 。 福斯特曼公式如下: 其中: ƒ(T ) 表示时间T 时的木材存量p 表示木材价格,并且是常数这意味着在时间T 的森林价值是pf (T )r是折现率,并且也是常数 从这个公式中可以推论出两个定理: 一片森林的最佳砍伐时间,是当其价值的时间变化率等于森林价值的利息加上土地价值的利息之时。 一片森林的最佳砍伐时间,也是当其价值的时间变化率等于经土地租金调整后的利率之时。 (zh)
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