Modeling the Marginal Value of Rainforest Losses : A Dynamic Value Function Approach

A rainforest can be modeled as a dynamic asset subject to various risks, including risk of fire. Any small part of the forest can be in one of two states: either untouched by forest fire, or already damaged by fire, in which case there is both a lo...

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Main Author: Strand, Jon
Format: Working Paper
Language:English
en_US
Published: World Bank, Washington, DC 2015
Subjects:
Online Access:http://documents.worldbank.org/curated/en/2015/10/25167334/modeling-marginal-value-rainforest-losses-dynamic-value-function-approach
http://hdl.handle.net/10986/22876
id okr-10986-22876
recordtype oai_dc
spelling okr-10986-228762021-04-23T14:04:11Z Modeling the Marginal Value of Rainforest Losses : A Dynamic Value Function Approach Strand, Jon FOSSIL FUEL ECOSYSTEM LANDSCAPE ECOLOGY FOREST FRAGMENTATION ISSUES FIRE RISK NATURAL RESOURCE LAND AREA PRECIPITATION CARBON ILLEGAL LOGGERS TIMBER ENERGY BASELINE” FOREST FOREST AREA STREAMS FOREST EXTRACTION FOREST PRESERVATION CARBON RELEASE CONSERVATION TIMBER HARVESTING LOGGING FOREST VALUATION USE OF FIRE LAND CLEARING CARBON VALUES TIMBER FOREST FOREST FOREST LOSSES GLOBAL CARBON EMISSIONS DEFORESTATION RATE LAND USE DEFORESTED LAND TIMBER VALUE FOREST CHANGE LOSS OF FOREST CLIMATE FORESTS LEAD FOREST CHANGES BIOLOGICAL RESOURCES TIMBER FOREST PRODUCTS CARBON MARKETS PRIMARY FOREST AGRICULTURAL PRODUCTION FOREST AREAS AMAZONIAN LANDSCAPES BIODIVERSITY PROTECTION NEGATIVE IMPACT FOREST BIOME FOREST MANAGEMENT POLICY EXTINCTIONS FOREST COVER FOREST LAND FOREST PATCH FOREST PLOT TROPICAL FOREST ILLEGAL LOGGING WOOD CLIMATE CHANGE BASELINE FOREST LESS DEFORESTATION FOREST FIRES TIMBER PRODUCTS COMMERCIAL LOGGING BENEFITS FOREST FIRE TIMBER VALUES SUSTAINABLE FORESTRY FOREST PRODUCTS HARM BURNT FOREST FOREST SERVICES AGRICULTURE BRAZILIAN AMAZON LAND CARBON EMISSIONS PRICES EMISSIONS FOREST LOSS ECOLOGICAL ECONOMICS RAINFALL BIODIVERSITY FOREST MANAGEMENT FOREST FIRE MODEL FOREST GROWTH WOOD PRODUCTS ECOSYSTEMS ANNUAL PRECIPITATION RAINFOREST RAINFORESTS FOREST FIRE RISK FORESTRY ECOSYSTEM SERVICES LANDSCAPE TIMBER EXTRACTION A rainforest can be modeled as a dynamic asset subject to various risks, including risk of fire. Any small part of the forest can be in one of two states: either untouched by forest fire, or already damaged by fire, in which case there is both a local forest loss and increased dryness over a broader area. In this paper, two Bellman equations are constructed, one for unharmed forest and a second for already burnt forest. The analysis solves the two equations for the total expected asset values in each of the two states, assuming that asset returns have a constant growth rate over time. The equations are used for deriving the marginal value of standing (unburnt) rainforest, equivalent to the expected discounted value loss when losing a small additional forest patch. The paper shows that marginal forest value is increased by the additional dryness and forest fire risk that follow from forest fragmentation when additional forest is lost locally. Both forest fires and dryness here serve as “multipliers” to the basic services return loss, within and outside the forest. The paper also presents a framework for calibrating the impact of the forest fire risk component on forest value. 2015-11-05T19:08:17Z 2015-11-05T19:08:17Z 2015-10 Working Paper http://documents.worldbank.org/curated/en/2015/10/25167334/modeling-marginal-value-rainforest-losses-dynamic-value-function-approach http://hdl.handle.net/10986/22876 English en_US Policy Research Working Paper;No. 7445 CC BY 3.0 IGO http://creativecommons.org/licenses/by/3.0/igo/ World Bank World Bank, Washington, DC Publications & Research :: Policy Research Working Paper Publications & Research
repository_type Digital Repository
institution_category Foreign Institution
institution Digital Repositories
building World Bank Open Knowledge Repository
collection World Bank
language English
en_US
topic FOSSIL FUEL
ECOSYSTEM
LANDSCAPE ECOLOGY
FOREST FRAGMENTATION
ISSUES
FIRE RISK
NATURAL RESOURCE
LAND AREA
PRECIPITATION
CARBON
ILLEGAL LOGGERS
TIMBER
ENERGY
BASELINE” FOREST
FOREST AREA
STREAMS
FOREST EXTRACTION
FOREST PRESERVATION
CARBON RELEASE
CONSERVATION
TIMBER HARVESTING
LOGGING
FOREST VALUATION
USE OF FIRE
LAND CLEARING
CARBON VALUES
TIMBER FOREST
FOREST
FOREST LOSSES
GLOBAL CARBON EMISSIONS
DEFORESTATION RATE
LAND USE
DEFORESTED LAND
TIMBER VALUE
FOREST CHANGE
LOSS OF FOREST
CLIMATE
FORESTS
LEAD
FOREST CHANGES
BIOLOGICAL RESOURCES
TIMBER FOREST PRODUCTS
CARBON MARKETS
PRIMARY FOREST
AGRICULTURAL PRODUCTION
FOREST AREAS
AMAZONIAN LANDSCAPES
BIODIVERSITY PROTECTION
NEGATIVE IMPACT
FOREST BIOME
FOREST MANAGEMENT POLICY
EXTINCTIONS
FOREST COVER
FOREST LAND
FOREST PATCH
FOREST PLOT
TROPICAL FOREST
ILLEGAL LOGGING
WOOD
CLIMATE CHANGE
BASELINE FOREST
LESS
DEFORESTATION
FOREST FIRES
TIMBER PRODUCTS
COMMERCIAL LOGGING
BENEFITS
FOREST FIRE
TIMBER VALUES
SUSTAINABLE FORESTRY
FOREST PRODUCTS
HARM
BURNT FOREST
FOREST SERVICES
AGRICULTURE
BRAZILIAN AMAZON
LAND
CARBON EMISSIONS
PRICES
EMISSIONS
FOREST LOSS
ECOLOGICAL ECONOMICS
RAINFALL
BIODIVERSITY
FOREST MANAGEMENT
FOREST FIRE MODEL
FOREST GROWTH
WOOD PRODUCTS
ECOSYSTEMS
ANNUAL PRECIPITATION
RAINFOREST
RAINFORESTS
FOREST FIRE RISK
FORESTRY
ECOSYSTEM SERVICES
LANDSCAPE
TIMBER EXTRACTION
spellingShingle FOSSIL FUEL
ECOSYSTEM
LANDSCAPE ECOLOGY
FOREST FRAGMENTATION
ISSUES
FIRE RISK
NATURAL RESOURCE
LAND AREA
PRECIPITATION
CARBON
ILLEGAL LOGGERS
TIMBER
ENERGY
BASELINE” FOREST
FOREST AREA
STREAMS
FOREST EXTRACTION
FOREST PRESERVATION
CARBON RELEASE
CONSERVATION
TIMBER HARVESTING
LOGGING
FOREST VALUATION
USE OF FIRE
LAND CLEARING
CARBON VALUES
TIMBER FOREST
FOREST
FOREST LOSSES
GLOBAL CARBON EMISSIONS
DEFORESTATION RATE
LAND USE
DEFORESTED LAND
TIMBER VALUE
FOREST CHANGE
LOSS OF FOREST
CLIMATE
FORESTS
LEAD
FOREST CHANGES
BIOLOGICAL RESOURCES
TIMBER FOREST PRODUCTS
CARBON MARKETS
PRIMARY FOREST
AGRICULTURAL PRODUCTION
FOREST AREAS
AMAZONIAN LANDSCAPES
BIODIVERSITY PROTECTION
NEGATIVE IMPACT
FOREST BIOME
FOREST MANAGEMENT POLICY
EXTINCTIONS
FOREST COVER
FOREST LAND
FOREST PATCH
FOREST PLOT
TROPICAL FOREST
ILLEGAL LOGGING
WOOD
CLIMATE CHANGE
BASELINE FOREST
LESS
DEFORESTATION
FOREST FIRES
TIMBER PRODUCTS
COMMERCIAL LOGGING
BENEFITS
FOREST FIRE
TIMBER VALUES
SUSTAINABLE FORESTRY
FOREST PRODUCTS
HARM
BURNT FOREST
FOREST SERVICES
AGRICULTURE
BRAZILIAN AMAZON
LAND
CARBON EMISSIONS
PRICES
EMISSIONS
FOREST LOSS
ECOLOGICAL ECONOMICS
RAINFALL
BIODIVERSITY
FOREST MANAGEMENT
FOREST FIRE MODEL
FOREST GROWTH
WOOD PRODUCTS
ECOSYSTEMS
ANNUAL PRECIPITATION
RAINFOREST
RAINFORESTS
FOREST FIRE RISK
FORESTRY
ECOSYSTEM SERVICES
LANDSCAPE
TIMBER EXTRACTION
Strand, Jon
Modeling the Marginal Value of Rainforest Losses : A Dynamic Value Function Approach
relation Policy Research Working Paper;No. 7445
description A rainforest can be modeled as a dynamic asset subject to various risks, including risk of fire. Any small part of the forest can be in one of two states: either untouched by forest fire, or already damaged by fire, in which case there is both a local forest loss and increased dryness over a broader area. In this paper, two Bellman equations are constructed, one for unharmed forest and a second for already burnt forest. The analysis solves the two equations for the total expected asset values in each of the two states, assuming that asset returns have a constant growth rate over time. The equations are used for deriving the marginal value of standing (unburnt) rainforest, equivalent to the expected discounted value loss when losing a small additional forest patch. The paper shows that marginal forest value is increased by the additional dryness and forest fire risk that follow from forest fragmentation when additional forest is lost locally. Both forest fires and dryness here serve as “multipliers” to the basic services return loss, within and outside the forest. The paper also presents a framework for calibrating the impact of the forest fire risk component on forest value.
format Working Paper
author Strand, Jon
author_facet Strand, Jon
author_sort Strand, Jon
title Modeling the Marginal Value of Rainforest Losses : A Dynamic Value Function Approach
title_short Modeling the Marginal Value of Rainforest Losses : A Dynamic Value Function Approach
title_full Modeling the Marginal Value of Rainforest Losses : A Dynamic Value Function Approach
title_fullStr Modeling the Marginal Value of Rainforest Losses : A Dynamic Value Function Approach
title_full_unstemmed Modeling the Marginal Value of Rainforest Losses : A Dynamic Value Function Approach
title_sort modeling the marginal value of rainforest losses : a dynamic value function approach
publisher World Bank, Washington, DC
publishDate 2015
url http://documents.worldbank.org/curated/en/2015/10/25167334/modeling-marginal-value-rainforest-losses-dynamic-value-function-approach
http://hdl.handle.net/10986/22876
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