QEIB: Spatially-distributed Population Models with External Forcing and Spatial Control

QEIB：具有外部强迫和空间控制的空间分布种群模型

• 批准号: 0110920
• 负责人: Louis Gross
• 金额: $ 74.25万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-09-01 至 2006-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0110920&HistoricalAwards=false
• 关键词: QEIB; Spatially; distributed; Population; Models

Gross0110920 The investigators develop methods to carry out spatiallyexplicit control to link natural and anthropogenic forces thatinfluence the demand for biological resources with the dynamicsof those resources. While there have been numerous alternativeapproaches taken to add spatial components to population models,few of these have attempted to deal with spatial control. Theinvestigators evaluate extensions of optimal control methods fordynamical systems to spatial problems, with a focus on generalmathematical and computational issues for spatial control linkedwith abiotic forcing of populations. The effort is motivated bytwo specific examples. The first concerns black bears in thesouthern Appalachians, a population with explicit environmentalforcing associated with acorn mast production, which variesconsiderably in time and space. This interacts with hunting,which is spatially restricted. The second example involves aninvasive exotic plant species, Lygodium microphyllum (Old WorldClimbing Fern), in the Everglades of South Florida. This speciescan completely cover the native tree islands of the region andspatial control of hydrology may be applied to limit its growth. Many of the current problems in regional management involveissues of spatial control -- what to do, where to do it and forwhat time periods. Examples include alternative plans for landuse, forest harvesting, location of dams, and water control. Awide variety of the major environmental public policy issues inthe US require scientific assessments of the impacts ofalternative management. The investigators develop newmathematical and computational approaches that can aid managersand the public to compare alternative management plans of landand regional resources. The objective also is to allow forcomparisons of alternative criteria, arising from differentstakeholders, to judge the public utility of different spatialmanagement plans. The project is supported by the AppliedMathematics, Computational Mathematics, and Population Biologyprograms and by the MPS Office of Multidisciplinary Activities.

[01:10 . 92]研究人员开发了方法来进行空间明确控制，将影响生物资源需求的自然和人为力量与这些资源的动态联系起来。虽然有许多替代方法可以将空间成分添加到人口模型中，但其中很少有尝试处理空间控制的方法。研究人员评估了动态系统最优控制方法在空间问题上的扩展，重点关注与种群非生物强迫相关的空间控制的一般数学和计算问题。这一努力是由两个具体的例子推动的。第一个问题是阿巴拉契亚山脉南部的黑熊，这个种群受到明显的环境强迫，与橡实杆的生产有关，而橡实杆的生产在时间和空间上都有很大的差异。这与狩猎相互作用，而狩猎是受空间限制的。第二个例子涉及一种入侵的外来植物物种，小叶Lygodium microphyllum（旧大陆攀缘蕨），它生长在南佛罗里达的沼泽地。该物种可以完全覆盖该地区的原生树岛，可以通过空间水文控制来限制其生长。当前区域管理中的许多问题都涉及空间控制问题——做什么，在哪里做，在什么时间段内做。例子包括土地利用、森林采伐、水坝位置和水控制的替代计划。在美国，各种各样的主要环境公共政策问题都需要对替代管理的影响进行科学评估。研究人员开发了新的数学和计算方法，可以帮助管理者和公众比较不同的土地区域资源管理计划。目的还在于比较不同利益相关者提出的备选标准，以判断不同空间管理计划的公共效用。该项目由应用数学、计算数学和人口生物学项目以及MPS多学科活动办公室支持。