Plant Succession as a Natural Range Restoration Factor in Private Livestock Enterprises
构建了一个放牧模型，将私人最优放牧率与植物物种演替的长期影响联系起来，通过“慢流形”理论分析放牧决策与植物演替的耦合动态，并近似计算“演替阈值”，以判断仅靠放牧管理能否将牧场恢复至社会期望的植物组成。
Abstract We formulate a grazing model linking privately optimal stocking rates to their longterm impacts on the succession of plant species on rangeland. The fast (annual) dynamics of a grazing‐decision component are put in phase with the slow (decadelong) dynamics of a plant‐succession component via the “slow‐manifold” theory of dynamical systems. The model provides the context for analytically approximating “successional thresholds,” partitioning rangeland conditions into those gravitating toward socially desirable or socially undesirable plant compositions over time. These thresholds are instrumental in determining whether grazing management alone can restore rangeland to a socially desired plant composition.