Review - Roger A. Sedjo (2003): Economics of Forestry

Ashgate Publishing Limited, Gower House, Croft Road, Aldershot, Hants GU11 3HR, England (www.ashgate.com). 498 p. £ 100.00. ISBN 0-7546-2237-1 (hardback).Being one volume in the series of the International Library of Environmental Economics and Policy (T. Tietenberg and W. Morrison, gen. eds.), this book is a collection of some of the most significant journal essays in forest economics and forest policy. In compiling this volume, Roger Sedjo did a great service to the forest economics profession.This volume includes twenty-five essays originally published between 1849 and 1996 in a dozen journals, and one chapter from the Third Assessment Report of the International Panel on Climate Change (IPCC, 2001) which addresses the biological sequestration of carbon in terrestrial ecosystems. These are organized into four parts: the harvest rotation issue, timber supply, multiple-use and non-timber outputs, and global issues. An introduction essay to this volume, written by the editor, provides an overview of the major issues in forest resource management and discusses some the most important contributions to the forest economics literature.The eleven essays in the first part of the book provide a rather complete coverage of the most important contributions to the literature on optimal rotation age, which is a fundamental issue in forest management and forestry investment. Four of the essays (Faustmann 1849, Ohlin 1921, Bentley and Teeguarden 1965, and Samuelson 1976) address the basic formulation and interpretation of the optimal rotation model. Four essays (Löfgren 1985, Newman, Gilbert and Hyde 1985, Reed 1984, and Brazee and Mendelsohn 1988) extend the basic rotation model to examine the rotation age decision in the presence of deterministic trends and uncertainty in timber yield and price, respectively. Based on the Faustamnn rotation model, Klemperer (1976) and Chang (1982) examine the impacts of taxation on forest value and on the optimal rotation age. Koskela (1989) provides a detailed analysis of the impacts of taxation on timber harvest decisions under price uncertainty. What I feel missing in this part is a comparative statics analysis examining the impacts of changing economic parameters on the optimal rotation age.Part II includes five essays on economic analysis of long-run timber supply. Clawson (1979) reviews the historical development of forest resource and forest utilization in the United States. Vaux (1973) examines the long-run potential supply of timber from forest plantations in California. Berck (1979) investigates the difference in harvesting behavior between private forest owners and public managers. Lyon (1981) and Lyon and Sedjo (1983) examine the optimal exploitation of old-growth natural forests and the transition to steady state. While these essays all focus on the long-run timber supply in the United States, the methods developed and used in these papers could be applied for any other region. The exploitation of old-growth natural forests and the long-term availability of timber have been without doubt two major concerns in the United States. In many parts of the world, however, concerns about timber supply in the short-run have also had great influences on the development of forest policy. It would have been appreciated if a couple of essays addressing the short-run supply of timber had been included.Part III contains three essays dealing with the problem of multiple-use forest management. Gregory (1955) develops an economic framework for multiple-use management based joint production theory. Hartman (1976) examines the multiple-use rotation age decision. Swallow, Parks and Wear (1990) investigate the problem of non-convexities involved in multiple-use rotation age decisions. The merits of these essays lie in that they use rather simple models to demonstrate the importance of incorporating non-timber benefits in forestry decisions and the complexities of the multiple-use problem. In his 1976 essay, Hartman points out that in many situations management practices applied to one stand affect the value of non-timber outputs derived from the adjacent stands; such interdependence needs to be incorporated into multiple-use decision analysis. I certainly would like to find in this volume one or two essays examining the impacts of stand interdependence on the optimal decision. Another important issue in multiple-use management, which is not covered in this volume either, is the valuation of non-market priced outputs and services. Yet I believe that this omission is well motivated, for there are two separate volumes in this series devoted to non-market valuation methods (R. T. Carson, ed. Direct Environmental Valuation Methods, Volumes I and II).The seven essays in Part IV deal with a set of forest economic and policy issues related to global warming and biodiversity conservation. Parks and Hardie (1995) examine the cost-effective subsidies to convert marginal agricultural land to forests for the purpose of carbon sequestration. Hoen and Solberg (1993) analyze the potential and cost-effectiveness of increasing carbon sequestration in existing forests by changing forestry practices. van Kooten, Binkley and Delcourt (1995) examine the effect of carbon taxes and subsidies on the optimal rotation age. The chapter from the Third Assessment Report of IPCC (2001) provides a comprehensive review of the literature on the ecological, environmental, social and economic aspects of carbon sequestration in terrestrial ecosystems. While forests and forest management could play an important role in mitigating climate change, increasing level of atmospheric dioxide and climate change would inevitably affect the productivity of forest ecosystems, thereby could have significant impacts on future timber growth, harvest and inventory as well as carbon storage in forest ecosystems. Joyce et al. (1995) present a framework for analyzing the potential effects of climate change on the forest sector. The remaining two essays in this part examine the costs and benefits of biodiversity preservation, respectively. Montgomery, Brown and Adams (1994) estimate the marginal cost of preserving the northern spotted owl. Simpson, Sedjo and Reid (1996) examine the expected value of the marginal species as an input to pharmaceuticals.The editor points out in the introduction chapter that there are many other important contributions that are not included in this volume, some of these are mentioned, others not. In addition to the few omissions noted earlier, several important economic and policy issues such as uneven-aged stand management, deforestation, international trade, sustainable forestry, forest recreation, wildlife management and so on are not discussed. Moreover, none of the journal essays published since 1997 is selected. That there are many other important contributions does not mean the essays included in this volume are less important, however. While each forest economist may present a different list of the most important papers, most (if not all) of the essays in this volume would appear on anyone's list. I strongly recommend this book for research scientists and graduate students of forest economics as an essential addition to their reference library.     

Designing afforestation subsidies that account for the benefits of carbon sequestration: A case study using data from China's Loess Plateau

This paper presents a method for determining the subsidy required to motivate farmers to participate in timber afforestation programs designed to maximize social well-being. The method incorporates a carbon sequestration benefit function into the land expected value model in order to quantify the social benefit arising from carbon sequestration by the planted trees. This is used to calculate the optimal rotation age for newly planted forests that maximizes social utility. The minimum subsidy required to motivate farmers to participate in the afforestation program was calculated using a modified decision model that accounts for the subsidy's impact. The maximum subsidy offered by the government was taken to be the NPV of the carbon sequestration achieved by afforestation. Data on Robinia pseudoacacia L. trees planted on the Loess Plateau were used in an empirical test of the model, which in this case predicts an optimal subsidy of 254.38 yuan/ha over 40 years. This would guarantee the maintenance of forest on land designated for afforestation until they reached the socially optimal rotation age. The method presented herein offers a new framework for designing afforestation subsidy programs that account for the environmental service (specially, the carbon sequestration) provided by forests.     

A modified production possibility frontier for efficient forestry management under the New Zealand Emissions Trading Scheme

Carbon sequestered through increased forest biomass provides a low cost means to curb emissions and has become a major focus of New Zealand's Emissions Trading Scheme. We present a forest planning optimisation model where land use is governed by forest owners maximising the returns to both timber harvest and carbon sequestration. By varying carbon prices, we model efficient trade‐offs between the two forest activities along a modified production possibility frontier for four distinct wood supply regions in New Zealand. Results show that while more productive regions such as the Central North Island (CNI) and Northland have a greater capacity as a carbon sink, it is the less productive regions that have a comparative advantage in carbon sequestration in terms of a lower cost of wood production revenue foregone. However, moderate increases in carbon uptake can be achieved in the CNI at low opportunity cost by subtle changes in forestry management. The implication for policy‐makers is that initial increases in carbon sequestration will be achieved at the lowest cost to society by favouring high volume timber production in some productive woodland areas and/or by more carbon farming in less productive areas.     

粮食生产对生态碳汇的影响研究

[目的]协同推进粮食安全与碳中和目标是当下中国的核心议题,但粮食生产对生态碳汇的影响尚不明确,文章尝试梳理粮食生产影响生态碳汇的作用机理,并实证甄别粮食生产影响生态碳汇的净效应。[方法]构建粮食生产影响生态碳汇的分析框架,利用2000—2017年中国县域面板数据,采用双向固定效应模型进行实证检验。[结果]基准分析表明,粮食生产对生态碳汇总量具有显著正向影响。异质性分析表明,复种指数的适度提升有助于发挥粮食生产的碳汇效应;相较于西部和东北地区,东部和中部地区粮食生产的碳汇效应更大。[结论]应重视粮食生产的碳汇属性,通过耕作制度调整等手段加强土壤保护,挖掘粮食生产的碳汇潜力;优化陆地绿色植被空间布局,降低农地、林地和草地等不同绿色植被碳汇的潜在冲突;基于区域差异,制定具有区域针对性的粮食安全与碳中和协同行动方案。     

Scale of harvesting by non-industrial private forest landowners

We examine the intensity of harvesting decision by non-industrial landowners at the lowest price offer they deem acceptable, using a multiple bounded discrete choice stated preference approach that draws upon and connects two subfields of forestry, one identifying characteristics of landowners important to past harvesting or reforestation decisions, and another proposing how landowners evaluate price offers for forest harvesting decisions. Variables important to harvest intensity choices when the landowners find an acceptable price have only been considered for those landowners who actually have participated in harvesting markets, whereas here we examine the behavior of these individuals as well as those who are on the margin (i.e., have not harvested at prevailing current or past market prices). We show that harvest intensity depends critically on the extent of urbanization, indicated by the presence of structures on a parcel as well as forested tract size, along with landowner characteristics such as absenteeism and length of ownership. The results are useful for understanding the timber management behavior for a majority of landowners who may not harvest at prevailing prices, but may participate should prices reach a level acceptable to them, where this level is determined by individual preferences for standing timber resources.     

Editorial - Multiple-use forestry

The problem of multiple-use forestry arises because (1) a forest can be managed to provide a wide range of products and services, (2) the different uses are not perfectly compatible with each other, and (3) some products are not priced in markets and many of the services a forest provides have the characteristics of public goods. Examples of major forest products include, in addition to timber, edible berries, fungi, and hunting games. Forests also provide recreation opportunities and various environmental services (such as regulating local climate, reducing soil erosion, reducing pollutants in the atmosphere, regulating the global climate, providing habitats for wildlife, etc.). The outputs of nontimber goods in general depend on the quantity and structure of the forest, which can be changed by various forest management activities. However, a forest state most suitable for the production of one good is usually not optimal with respect to another good. Typically, there does not exist a set of management activities that simultaneously maximize the outputs of timber and all other goods.Another way to understand the conflicts between different uses is to view standing timber as an intermediate product of forestry investment, which is employed as an “input” for the production of timber products and nontimber goods. Thinking in this way, the conflicts arise partly because timber production and nontimber uses compete for the same input, and partly because of the differences in the “production technology” among different nontimber goods. A change in the standing timber may have positive impacts on some nontimber uses, but have negative effects on others. Because of the conflicts among different uses, it requires that both timber products and nontimber goods should be explicitly incorporated into forestry decision-making in order to achieve the greatest benefits to the forest owner and/or the public.Most of the economic analyses of multiple-use forestry decisions have explicitly or implicitly adopted the view that multiple-use should be achieved in individual stands. Each stand should be managed to produce an optimal mix of timber products and nontimber goods. Another view of multiple-use forestry is to manage each stand for a primary use, whereas multiple-use concerns are addressed by allocating different stands in a forest to different uses. A general argument in support of the primary-use view is that specialization makes for efficiency. The production of timber and nontimber goods is a joint process, however. Strictly speaking, one cannot separate timber production and the production of different nontimber goods. For example, managing a stand for timber production does not exclude the possibility of producing some nontimber goods in the stand. Since every stand usually produces more than one product, efficient multiple-use forestry requires that each stand should be managed for an optimal mix of timber and nontimber outputs. On the other hand, it may well be the case that the optimal multiple-use mix for a particular stand consists of a maximum output of one product. In this case the optimal multiple-use management decision would coincide with the optimal decision pertaining to a single use. In other words, it may be optimal to manage a particular stand for one primary use. Using the terminology of economics, primary-use may be efficient for stands in which the multiple-use production set is nonconvex. Recent research has explored several sources of nonconvexity in the multiple-use production set. However, there is no evidence supporting the argument that specialization is always more efficient than multiple-use management of individual stands. From an economics viewpoint, efficient primary-use is special cases of multiple-use stand management.A widely recognized limitation of multiple-use stand management is that, by considering each stand separately, one neglects the interdependence of nontimber benefits and ecological interactions among individual stands. The nontimber benefits of a stand depend on the output of nontimber goods from other stands. Likewise, the nontimber output from one stand affects the value of nontimber goods produced in the other stands. Ecological interactions among individual stands imply that the output of nontimber goods from two stands in a forest differs from the sum of the outputs from two isolated stands. These interdependence and interactions imply that the relationship between the nontimber benefits of a stand and the stand age (or standing timber stock) cannot be unambiguously determined - it depends on the flow of nontimber goods produced in the surrounding stands. Therefore, it is improper to determine optimal decisions for the individual stands independently. In stead, efficient multiple-use forestry decision should be analyzed by considering all the stands in a forest simultaneously.Another serious limitation of multiple-use stand management is that each stand is treated as a homogenous management unit to be managed according to a uniform management regime. One implicitly assumes that the boundaries of each stand is exogenously given and will remain unchanged over time. This assumption imposes a restriction on the multiple-use production set, thereby creates inefficiency. As an example, consider a large stand with a nonconvex production set. It may be possible to eliminate nonconvexity in the production set and push the production possibility frontier outwards by dividing the stand into several parts and managing each part for a primary-use. It may also be efficient to combine two adjacent stands into one to be managed following a uniform regime, because of the presences of fixed management costs, and/or because the relationship between some nontimber outputs and stand area is not linear.In contrast to income from timber production, nontimber goods produced at different time points are not perfect substitutes. The rate at which a forest owner is willing to substitute a nontimber good produced at one time point for that produced at another time point changes with the outputs of the nontimber good at the two time points. In general cases, the nontimber goods produced at one time point cannot be consumed at another time point, and the marginal utility of a nontimber good decreases when its output increases. This provides a motivation for reducing the variation in the output of nontimber goods over time. An effective approach to coordinating nontimber outputs over time is to apply different management regimes to different parts of a stand, or apply the same regime to adjacent stands, which would change the boundaries of the stands. Preserving the existing stand boundaries would limit the possibility of evening out the nontimber outputs over time, and thereby lead to intertemporal inefficiency in multiple-use management.In previous studies of multiple-use forestry decisions the nontimber outputs or benefits are usually modeled as functions of stand age or standing timber stock. Future flows of nontimber goods or benefits are incorporated into a stand/forest harvest decision model to explore the implications of nontimber uses for optimal harvest decisions. While stand age and standing timber stock may have significant impacts on nontimber outputs, other forest state variables, e. g. the spatial distribution of stands of different ages/species, may be of great importance to the production of nontimber goods. Recognition of such forest state variables could change the relationship between timber production and nontimber outputs and therefore change the optimal forest management decisions.In summary, multiple-use forestry is not simply an extension of timber management with additional flows of benefits to be considered when evaluating alternative management regimes. Recognition of multiple uses of a forest leads to two fundamental changes of the forestry decision problem. First, the optimal intertemporal consumption of forestry income is no longer separable from forest management decisions. In general, the optimal intertemporal consumption of forestry income depends on future flows of nontimber goods, implying that the consumption-saving decision should be made simultaneously with the decision on the production of timber and nontimber goods over time. Secondly, it is no longer appropriate to optimize the management regime for each stand separately. The nontimber outputs from a forest depend on the age distribution of individual stands, and on a wide range of other forest state variables such as the spatial distribution of stands of different ages and tree-species composition. Ecological interactions and interdependence among stands imply that management regimes for different stands should be optimized simultaneously. In addition to changing rotation ages and harvest levels, efficient multiple-use forestry requires optimizing the spatial allocation of harvests, redefining the boundaries of stands, coordinating the choices of tree species in regeneration of harvested area and so on.The lack of rigorous production functions for nontimber goods imposes a severe restriction on attempts to perform comprehensive economic analyses of multiple-use forestry decisions. This restriction in itself is no justification for ignoring many of the key aspects of multiple-use forestry problem and modeling the problem as one of determining the optimal rotation age or optimal harvest level. It requires that economic models of multiple-use forestry should be developed with special consideration of the vague and imprecise information regarding the relationships between nontimber outputs and forest state variables.Peichen GongDepartment of Forest EconomicsSE-90183 UmeåSweden     

The multiple effects of carbon values on optimal rotation

Non-consumptive benefits which increase with crop age, like keeping carbon sequestered, lengthen optimal rotation compared with rotation for timber alone. High proposed carbon prices may extend rotation indefinitely. Carbon storage in wood products reduces this tendency. Biomass as an energy source displacing fossil fuels favours rotations near those of maximum biomass productivity. Use of sawn timber to displace structural materials with high embodied carbon favours somewhat longer rotations. Effects of rotation on soil carbon, and fossil carbon volatilised in harvesting operations, are further complications. Including all carbon effects results in optimal rotations somewhat longer than those based only on timber value, but shorter than those based on timber plus forest carbon. To include all factors intuitively is not possible: balanced appraisal needs economic calculations.     

The economic viability of smallholder timber production under expanding açaí palm production in the Amazon Estuary

Relatively little attention has been paid to the economic potentials and limitations of tropical timber production and management at smallholder scales, with the most relevant research focusing on community forestry efforts. As a rare tropical example of long-lasting small-scale timber production, in this study we explore the economics of smallholder vertically integrated timber use to better understand the activity in the context of its primary land use alternative in the Amazon Estuary, açaí palm fruit production. We use data from landowner and firm surveys, participatory monitoring of firms, and detailed forest and sawmill operation monitoring to devise financial returns models of smallholder timber micro firms and açaí palm fruit production. We then compare the economics of the two activities to better understand how differences may shape decisions at the small holder scale that impact current land use shifts in the region.     

Optimal forest harvest age considering carbon sequestration in multiple carbon pools: A comparative statics analysis

We present an analytical model for determination of the economically optimal harvest age of a forest stand considering timber value, and the value of carbon fluxes in living biomass, dead organic matter, and wood products pools. Through comparative statics analysis, we find that consideration of timber value and fluxes in biomass carbon increase harvest age relative to the timber only solution, and that the effect on optimal harvest age of incorporating fluxes in the dead organic matter and wood products pools is indeterminate.We also present a numerical example to examine the magnitudes of these effects. In general, incorporating the dead organic matter and wood products pools have the effect of reducing rotation age. Perhaps more interestingly, when initial stocks of carbon in dead organic matter or wood products pool are relatively high, consideration of these pools can have a highly negative effect on net present value.     

Long‐term versus temporary certified emission reductions in forest carbon sequestration programs*

Under the Clean Development Mechanism (CDM) of the Kyoto Protocol, forest projects can receive returns for carbon sequestration via two crediting instruments: temporary or long‐term certified emission reductions (tCERs or lCERs). This study shows the effect of lCERs on the private owner’s forest rotation intervals decision and carbon credit generation in afforestation and reforestation projects. A credit verification mechanism with a harvest penalty implemented under the lCERs policy distorts the timber harvesting decision and the corresponding carbon credit supply. Two opposing incentives are created by the lCERs mechanism which leads to either longer or shorter rotations compared to the Faustmann rotation, depending on which incentive prevails. Our numerical results show that both lCERs and tCERs seem to have similar impacts on harvesting incentives, but the resulting carbon supply differs among the instruments owing to the credit verification mechanism. The tCERs carbon supply curve is monotonically increasing in the carbon price, while a lCERs carbon supply is non‐monotonic and may have a backward bending region over a range of carbon prices.     

Determining optimal forest rotation ages and carbon offset credits: Accounting for post-harvest carbon storehouses

Sequestering carbon in forest ecosystems is important for mitigating climate change. A major policy concern is whether forests should be left unharvested to avoid carbon dioxide (CO₂) emissions and store carbon, or harvested to take advantage of potential carbon storage in post-harvest wood product sinks and removal of CO₂ from the atmosphere by new growth. The issue is addressed in this paper by examining carbon rotation ages that consider commercial timber as well as carbon values. A discrete-time optimal rotation age model is developed that employs data on carbon fluxes stored in both living and dead biomass as opposed to carbon as a function of timber growth. Carbon is allocated to several ecosystem and post-harvest product pools that decay over time at different rates. In addition, the timing of carbon fluxes is taken into account by weighting future carbon fluxes as less important than current ones. Using simple formulae for determining optimal rotation ages, we find that: (1) Reducing the price of timber while increasing the price of carbon will increase rotation age, perhaps to infinity (stand remains unharvested). (2) An increase in the rate used to discount physical carbon generally reduces the rotation age, but not in all cases. (3) As a corollary, an increase in the price of carbon increases or reduces rotation age depending on the weight chosen to discount future carbon fluxes. (4) Site characteristics and the mix of species on the site affect conclusions (2) and (3). (5) A large variety of carbon offset credits from forestry activities could be justified, which makes it difficult to accept any.     

Rewarding carbon sequestration in South-Western French forests: A costly operation?

The extension of rotation lengths in forests has been proposed as an option for increasing carbon storage and contributing to climate change mitigation. This paper presents the results of a case study conducted on forests located in the southwest of France. The aim of this research was to assess the cost effectiveness of a subsidy/tax system on carbon fluxes. First, it is shown that such a mechanism leads forest owners to extend rotation lengths. However, cost effectiveness analysis shows that: (1) marginal social costs are more expensive than the private marginal costs of carbon sequestration; (2) marginal costs are higher when carbon stocks are discounted, ranging from 170.1 €/tC to 719.8 €/tC with discounted carbon stocks; and from 38.8 €/tC to 78.4 €/tC with undiscounted carbon stocks; (3) marginal costs are in the range of measures of the social value of carbon for France; (4) marginal costs increase with timber prices and increase with discount rate.     

LAND TENURE IN THE CYPRESS PINE AREAS OF NORTH-WESTERN NEW SOUTH WALES

In New South Wales there are one million acres of land bearing cypress pine and held under lease from the government. This land is suitable for the joint production of timber and livestock or for timber production alone. Alternatively, the timber can be harvested to provide capital for property development. Farm management plans have, however, been constrained by the land tenure policy which aims to promote both closer settlement and timber production. In this paper the opportunity costs of the current tenure system are evaluated against the freehold situation. The conditions which favour either specialized timber production or the joint production of timber and livestock are examined. Finally, the cost of achieving a timber production target is examined in terms of loss of income to the individual grazier and the nation.     

二叉树期权定价模式评估林业碳汇项目的价值

基于黑龙江省林业局和中国林业统计年鉴的数据,运用修正的Faustmann模型和二叉树期权定价方法分析黑龙江省黑河造林林区的碳汇价值及该项目的经济可行性。研究结果表明:经营成本负向影响项目的最终价值;碳汇价格和木材价格正向影响项目的最终价值;初始价值正向影响项目的最终价值;黑龙江省黑河造林林区项目具有较高的经济效益和生态效益。因此,相关部门应建立完善的碳汇交易市场,实施激励措施和制定林地产权制度。     

Efficiency in forest management: A multiobjective harvest scheduling model

This paper presents a new forest harvest scheduling model taking into account four conflicting objectives. The economic factor of timber production is considered and also aspects related to environmental protection. We also incorporate adjacency constraints to limit the maximum contiguous area where clear-cutting can be applied. The model proposed is applied to a timber production plantation in Cuba located in the region of Pinar del Río. One factor to be taken into account in Cuban plantations is that the forest has a highly unbalanced age distribution. Therefore, in addition to the classical objectives of forest planning, we have the objective of rebalancing age distribution by the end of the planning horizon. Explicitly, the four objectives considered in the model are: (a) obtaining a balance-aged forest; (b) minimizing the area with trees older than the rotation age; (c) maximizing the NPV of the forest over the planning horizon; and (d) maximizing total carbon sequestration over the whole planning horizon. The solution to the proposed model provides a set of efficient management plans that are of assistance in analysing the tradeoffs between the economic and ecological objectives. The model is also applied to randomly generated simulated forests to compare its performance in other contexts. As the problem is a multiobjective binary nonlinear model, a metaheuristic procedure is used in order to solve it.     

“双碳”目标下农地细碎化对植被碳汇的影响研究

目的 提升植被碳汇被视为应对气候变化、如期实现“双碳”目标的重要抓手。尽可能全面地识别农地细碎化对植被碳汇的影响，能够从侧面展示农地细碎化治理蕴藏的生态价值。方法 文章基于卫星遥感数据，测算2001—2019年中国省级农地细碎化和植被碳汇水平，采用双向固定效应模型和空间计量模型实证考察农地细碎化对植被碳汇的影响。结果 （1）农地细碎化会显著降低植被碳汇，农地细碎化指数每增加1%，植被碳汇降低0.127 4%。（2）从农地细碎化维度来看，面积和分布细碎化均会显著降低植被碳汇。（3）从土地覆被类型来看，农地细碎化的影响并非局限于农地，同样会降低林地和草地碳汇，农地细碎化指数每增加1%，林草碳汇降低0.138 5%。（4）从空间关联来看，农地细碎化的影响并非局限于当地，同样会降低周边地区植被碳汇，存在空间溢出效应。（5）农业综合开发的土地治理项目能够降低农地细碎化对植被碳汇的负面影响，且相较于自筹资金，财政资金的治理效应更优，相较于农地治理，生态综合治理的治理效应更优。结论 应加强“生命共同体”系统思维，全面认知农地细碎化影响植被碳汇的广度和深度，重视农地细碎化治理的生态价值。在农地细碎化治理中充分发挥政府的主导作用，将生态保护和修复列为农地细碎化治理的前提。     

Adaptive management decision of agroforestry under timber price risk

In an effort to increase wood production and mitigate environmental problems, agro-forestry practices have emerged as a viable strategy in the Northern Plains of China, where one popular form of the agro-forestry system consists of fast-growing and high-yield plantation of poplar (populus) trees and the underwood planting of button mushroom (Agaricus bisporous). This paper examines adaptive management decision-making with stochastic dynamic programming under risk of timber price. Under the assumption of risk neutral preferences of the investors, the results suggest that the reservation price strategy remains optimal for the harvesting decision of agro-forests: when the timber price is higher than the reservation price, poplar trees should be harvested to end agro-forestry; otherwise, the trees should be retained. Numerical results are presented for sample agro-forest stands, which show that, with underwood planting, the reservation price for timber harvesting will be higher than that in pure forest.     

Optimal management of a flammable forest providing timber and carbon sequestration benefits: an Australian case study*

In deciding to keep or fell a forest stand given its age, the risk of loss of timber through wildfire is an important consideration. If trees also have value from sequestration of carbon, another effect of fire is the unplanned loss of stored carbon. Factors affecting the decision to keep or fell trees, and how much to spend on fire protection, are investigated using stochastic dynamic programming, using carbon sequestration in stands of mountain ash in Victoria as a case study. The effect of treating sawlogs as a permanent carbon sink after harvesting is explored.     

The potential and cost of increasing forest carbon sequestration in Sweden

This paper examines the potential and the cost of promoting forest carbon sequestration through a tax/subsidy to land owners for reducing/increasing carbon storage in their forests. We use a partial equilibrium model based on intertemporal optimization to estimate the impacts of carbon price (the tax/subsidy rate) on timber harvest volume and price in different time periods and on the change of forest carbon stock over time. The results show that a higher carbon price would lead to higher forest carbon stocks. The tax/subsidy induced annual net carbon sequestration is declining over time. The net carbon sequestration during 2015–2050 would increase by 30.2 to 218.3 million tonnes of CO₂, when carbon price increases from 170 SEK to 1428 SEK per tonne of CO₂. The associated cost, in terms of reduced total benefits of timber and other non-timber goods, ranges from 80 SEK to 105.8 SEK per tonne of CO₂. The change in carbon sequestration (as compared with the baseline case) beyond 2050 is small when carbon price is 680 SEK per tonne of CO₂ or lower. With a carbon price of 1428 SEK per tonne of CO₂, carbon sequestration will increase by 70 million tonnes of CO₂ from the baseline level during 2050-2070, and by 64 million tonnes during 2070–2170.     

Consequences of carbon offset payments for the global forest sector

Long-term effects of policies to induce carbon storage in forests were projected with the Global Forest Products Model. Offset payments for carbon sequestered in forest biomass of $15–$50/t CO₂e applied in all countries increased CO₂ sequestration in world forests by 5–14 billion tons from 2009 to 2030. Limiting implementation to developed countries exported environmental damage from North to South, as developing countries harvested more, decreasing their stored CO₂e. Substantially more CO₂e was sequestered by allocating a given budget to all countries rather than to developed countries only. As offset payments increased wood prices relatively more than they decreased production, timber revenues generally increased. In the few countries with timber revenues losses they were more than compensated by the offset payments.