Modeling illegal logging in Brazil

DOI10.1007/s40687-021-00263-6zbMath1466.91214OpenAlexW3158223869MaRDI QIDQ2028696

Christian Parkinson, Kaiyan Peng, Bohan Chen, Johannes Urpelainen, Tara Lyn Slough, Andrea L. Bertozzi

Publication date: 1 June 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-021-00263-6

zbMATH Keywords

optimal controlHamilton-Jacobi-Bellman equationfast sweeping methodoptimal path planningillegal logging

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76)

Uses Software

• TopoToolbox
• OpenStreetMap

Cites Work

• Evasive path planning under surveillance uncertainty
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• What drives deforestation in the Brazilian Amazon? Evidence from satellite and socioeconomic data
• Protecting Moving Targets with Multiple Mobile Resources
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• Viscosity Solutions of Hamilton-Jacobi Equations
• Markov Chain Approximations for Deterministic Control Problems with Affine Dynamics and Quadratic Cost in the Control
• Fast Marching Methods
• Ordered Upwind Methods for Static Hamilton--Jacobi Equations: Theory and Algorithms
• Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations
• Fast methods for the Eikonal and related Hamilton– Jacobi equations on unstructured meshes
• A fast sweeping method for Eikonal equations
• Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method
• Efficient algorithms for globally optimal trajectories
• Control-Theoretic Models of Environmental Crime
• Modeling Environmental Crime in Protected Areas Using the Level Set Method
• On Estimation of a Probability Density Function and Mode
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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