Spatially explicit forest harvest scheduling with difference equations
Spatially explicit forest harvest scheduling with difference equations
复制标题
基于差分方程的空间明确森林采伐调度
DOI：
10.1007/s10479-012-1301-4
复制
发表时间：
2013
影响因子：
4.8
通讯作者：
Sándor F. Tóth
中科院分区：
文献类型：
--
作者：
R. John;Sándor F. Tóth
空间明确的收获调度模型优化布局的收获处理，以最好地满足管理目标，如收入最大化受到各种经济和环境的约束。除了少数例外，文献中每个精确模型的混合整数规划核心都需要一个决策变量用于管理单元的每个适用处方。这种“蛮力”方法的唯一替代方案是网络方法，该方法通过四组二进制变量随时间跟踪每个单元的管理路径。以其基于线性规划的无空间前辈模型I和II命名，沿着还有没有空间实现的模型III，这些模型中的每一个都依赖于静态体积和收入系数，这些系数必须在优化前计算。我们提出了一个根本不同的方法，定义林分蓄积量和收入作为变量，并使用差分方程和布尔代数过渡森林单位从一个规划期到下一个。我们通过三组计算实验表明，新模型是一个计算上有前途的替代模型I和II。
Spatially explicit harvest scheduling models optimize the layout of harvest treatments to best meet management objectives such as revenue maximization subject to a variety of economic and environmental constraints. A few exceptions aside, the mixed-integer programming core of every exact model in the literature requires one decision variable for every applicable prescription for a management unit. The only alternative to this “brute-force” method has been a network approach that tracks the management pathways of each unit over time via four sets of binary variables. Named after their linear programming-based aspatial predecessors, Models I and II, along with Model III, which has no spatial implementation, each of these models rely on static volume and revenue coefficients that must be calculated pre-optimization. We propose a fundamentally different approach that defines stand volumes and revenues as variables and uses difference equations and Boolean algebra to transition forest units from one planning period to the next. We show via three sets of computational experiments that the new model is a computationally promising alternative to Models I and II.