Fackler Paul, Pacifici Krishna
Department of Agricultural and Resource Economics, North Carolina State University, Raleigh, NC 27695-8109, United States.
Department of Applied Ecology, North Carolina State University, Raleigh, NC 27695, United States.
J Environ Manage. 2014 Jan 15;133:27-36. doi: 10.1016/j.jenvman.2013.11.004. Epub 2013 Dec 20.
Most natural resource management and conservation problems are plagued with high levels of uncertainties, which make good decision making difficult. Although some kinds of uncertainties are easily incorporated into decision making, two types of uncertainty present more formidable difficulties. The first, structural uncertainty, represents our imperfect knowledge about how a managed system behaves. The second, observational uncertainty, arises because the state of the system must be inferred from imperfect monitoring systems. The former type of uncertainty has been addressed in ecology using Adaptive Management (AM) and the latter using the Partially Observable Markov Decision Processes (POMDP) framework. Here we present a unifying framework that extends standard POMDPs and encompasses both standard POMDPs and AM. The approach allows any system variable to be observed or not observed and uses any relevant observed variable to update beliefs about unknown variables and parameters. This extends standard AM, which only uses realizations of the state variable to update beliefs and extends standard POMDP by allowing more general stochastic dependence among the observable variables and the state variables. This framework enables both structural and observational uncertainty to be simultaneously modeled. We illustrate the features of the extended POMDP framework with an example.
大多数自然资源管理与保护问题都存在高度的不确定性,这使得做出明智决策变得困难。尽管某些类型的不确定性很容易纳入决策过程,但有两种不确定性带来了更大的困难。第一种是结构不确定性,它代表了我们对受管理系统行为的不完美认知。第二种是观测不确定性,它的产生是因为系统状态必须从不完善的监测系统中推断出来。前一种不确定性在生态学中已通过适应性管理(AM)来解决,而后一种则使用部分可观测马尔可夫决策过程(POMDP)框架来处理。在此,我们提出一个统一框架,它扩展了标准POMDP,并涵盖了标准POMDP和AM。该方法允许任何系统变量被观测或不被观测,并使用任何相关的观测变量来更新对未知变量和参数的信念。这扩展了标准的适应性管理,后者仅使用状态变量的实现来更新信念,并且通过允许可观测变量和状态变量之间更一般的随机依赖性扩展了标准POMDP。这个框架能够同时对结构不确定性和观测不确定性进行建模。我们用一个例子来说明扩展POMDP框架的特点。