Optimal forest harvesting is a problem that dates back many centuries. Modern forest-management needs models taking into account the relatively long rotation, the multiaged structure, the age-dependent timber content of trees, and the multiple services forests provide. Approaches to characterize the optimal management policy range from models that represent the forest by a unique state variable that can usually be solved analytically (i.e., models that consider forests composed by a unique even-aged stand or allow a uneven aged forest but only consider its total biomass), to much more sophisticated linear and integer programming harvest scheduling models. In this survey, we focus on dynamic optimization problems where the forest is represented with an age-class structure. These models present richer dynamics than one-variable models while preserving their analytic tractability to some extent.

中文翻译：

---

森林经济学中的老式优化模型的探讨

最佳森林采伐是一个世纪以来的问题。现代森林管理需求模型考虑了相对较长的轮换，多年龄结构，树木的年龄相关木材含量以及森林提供的多种服务。表征最佳管理策略的方法的范围是通过通常可以通过解析来解决的唯一状态变量来表示森林的模型（即，模型考虑由唯一的平均年龄林组成的森林或允许年龄不均匀的森林，但仅考虑其森林）。总生物量），到更复杂的线性和整数编程收获调度模型。在本次调查中，我们关注动态优化问题，其中森林以年龄级别的结构表示。