Spatial Optimization for Managed Ecosystems

John Hof is a project leader, and Michael Bevers is a research scientist at the USDA Forest Service's Rocky Mountain Research Station in Fort Collins, Colorado.

• Ferret Releases Net Population Growth Rate Ferret Dispersal Spatial Definition Ferret Reintroduction in South Dakota The Spatial Optimization Model The Black-Footed Ferret: A Case Study Discussion The Modeling Approach Sustainability of Species Richness The Logistic Distribution Transformations Declining Monotonicity of Natural Logarithm Results Allocation Over Time and Space Results Continuous Choice Variables Results The Problem An Example The Model A Cellular Model of Wildlife Population Growth and Dispersal Methods Dynamic Movement Row-Total Variance Reduction An Example Post-Optimization Calculations Simulation Versus Optimization An Adaptive Management Context Synthesis A New Definition for a Regulated Forest Single-Species Emphasis Accounting for Mortality Sensitivity to Planning Horizon Length Sensitivity to Minimum Harvest Age Model Reduction Linear Approximation of Objective Functions A Coastal Douglas-fir Case Study Objective Functions Wildlife Habitat Fragmentation Effects Edge Effects A Cellular Model of Wildlife Habitat Spatial Relationships Static Spatial Relationships A Final Introductory Note Solvability of Nonlinear Programs Solvability of (0-1) Integer Programs Methods Organization Viewpoint Introduction The Problem Pragmatic Approaches to Handling Risk and Uncertainty Discussion Results The Problem An Example Rectangles Circles Optimization Chance Maximization Spatial Autocorrelation Connectivity Theory A Geometric Wildlife Model with Spatial Autocorrelation and Habitat Connectivity Discussion Results The Problem An Example A Cellular Timber Model with Spatial Autocorrelation Approximation of the CDF Total Probability Chance-Maximizing Programming Joint Probability Chance-Maximizing Programming MAXMIN Chance-Maximizing Programming Chance-Maximizing Programs Total Probability Chance Constraint Joint Probability Chance Constraint Individual Chance Constraints Chance-Constrained Programming Spatial Autocorrelation Discussion Results The Problem An Example A Spatial Recreation Allocation Model The Case of More Than One Proposed Site The Travel Cost Model Spatial Supply-Demand Equilibrium: A Recreation Example Discussion Results An Example Spatial Effects A Geometric Model of Wildlife Habitat Spatial Relationships Discussion Results The Problem An Example Wildlife Habitat Size Thresholds Results A Steady-State Example Determining the Optimal Steady State Species Richness Objective Functions Diversity and Sustainability Discussion Results Two Examples The Spatial Optimization Approach A Nested-Schedule Model of Stormflow Discussion Results The Problem An Example The Model A Cellular Model of Pest Management Model Results Ferret Carrying Capacity