马秋思林道网密度理论修正问题的探讨

Discussion of Correction of Mattews Spur-density Theory

对马秋思林道网密度理论假设中的林道长度等于林区的宽进行修正,采用微分求极值和逼近试算法建立不同条件下综合费用最低时的林道长和林道间距的求解方程组,得出林道长等于林区宽时不是综合费用最低的结果;并通过费用分析,得出综合费用随集材费、林道修建费和林区宽的增大而增大,集材费的变化对综合费用的影响大于林道修建费的变化对综合费用的影响。

The hypothesis in the Mattews Spur-density Theory that the length of the forest road is equal to the width of the forest section was revised. Some math methods such as differential, integral and differential extremum were applied to demonstrate the relation between the length of the forest road and the width of the forest section when the total expense was minimum, which was validated by an example. The results showed the total expense increased with collecting expense, forest road building expense and the width of the forest section and the change of collecting expense had more affects on total expense more than that of forest road building expense.