An Economic Assessment of Mountain Pine Beetle Timber Salvage in the West

J. Prestemon, K. Abt, K. Potter, F. Koch
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EBR can be run for a single year or multiple years, treating timberland (salvaging standing dead trees, in this study) each year according to a predefined set of objectives. After each simulated year, timber inventory data are updated, with the transition to the next year defined by stand growth, new mortality available for salvage, and the volumes removed in the previous year’s solution. The first stage of this revised version of the EBR model is a goal program that selects locations in the West to salvage timber by maximizing a goal-weighted sum of salvage volumes, subject to maximum and minimum harvest constraints, a feasible forest product market solution, and an assumed maximum amount of expenditures available to harvest and transport salvage timber to mills. The fundamental unit of information about timber volumes (salvage, nonsalvage) to which the goal weights are applied in the EBR model is the Forest Inventory and Analysis (FIA) plot. To allow for a reasonably fast solution, plot-level information is summed to a spatial and ownership aggregate. Plot-level information includes the average distance to the nearest five sawmills (which consume sawlogs) and the average distance to the two nearest pulp or pole mills (consuming the smaller diameter portions of trees in the stand). Other variables reported or calculated at the plot level include volumes by product category (merchantable live and dead sawlogs and pulpwood) and tree groups—ponderosa pine (Pinus ponderosa and P. lambertiana), lodgepole pine (P. contorta), southern pine (especially P. echinata, P. palustris, P. elliottii, P. taeda), other softwood, and hardwood; ownership (national forest, other public, private); LANDFIRE Map Zone (LANDFIRE 2010); the harvest cost for removing live or dead volumes; and, an administration cost of $200/acre for public and $100/acre for private timberland salvage. In this study, we aggregated plot-level information up to the map zone for each ownership group for each of the 12 western states in the contiguous United States. LANDFIRE map zones are generalized geographical units with similar ecological and biophysical characteristics. The 50 United States contain 79 such zones, which span state boundaries. The 12 states in this study contain 29 map zones, although the area and total standing timber volume found in these zones vary widely. Therefore, the basic modeling units, from which treatment volumes could be obtained in the first stage, are the map zone–ownership aggregates in each of the 12 western states. Depending on the simulation implemented (more information on the simulations is provided in the next section), treatment volumes selected in the first stage could be obtained from parts or all of one map zone–ownership aggregate. Harvest costs, timber volume information by species and live or dead status, and transport costs were expanded to the map zone–ownership aggregate using an area expansion factor. The result is a summary of the total area of stands of salvable timber in each map zone–ownership aggregate and for each of these the weighted average volumes per acre by species by product by live and salvable dead, weighted average transport distances to mills, and the weighted average harvest cost. Finally, the goal weights placed on map zone–ownership aggregates were the presolution net revenues of timber salvage removed; only dead standing salvable timber could be removed. The net revenue in the first stage is defined as the premarket solution value of salvaged sawlogs and pulpwood by species: the delivered volume multiplied by each product’s respective market price times a salvage discount factor minus the total stand’s harvest and transport costs per acre. As defined, net revenues can be negative. In effect, the EBR model had an ordered preference for salvage of timberlands according to their per acre net revenues. The second stage of the EBR model maximizes, subject to the salvage volumes selected in the first stage in each map zone–ownership aggregate location, the sum of timber product producer and consumer surplus minus transport costs for harvested volumes of both salvage and nonsalvage timber moving across state and international borders (Samuelson 1952, Takayama and Judge 1964). The basic timber product market modeling unit—two levels of aggregation higher than the map zone–ownership—in which equilibrium product prices by species group are obtained, is the state. Trade restrictions that ban exports of roundwood flowing from western US federal lands are imposed. State level maximum processed volumes are determined by state-level mill capacities that act as a physical limit on the volume of timber products that can be processed within the state without new processing capacity being added. We allow these capacities to be exceeded by up to 30% to reflect the possibility of adding shifts to existing mills (Prestemon et al. 2008). The EBR model also allows for the siting of new processing capacity, although this is not implemented endogenously (as in Ince et al. 2008). The second stage optimal solution is a set of market equilibrium product prices, and the volumes by species of timber salvaged (and harvested nonsalvage) produced in each state, consumed at mills in each location, and traded across state and international borders. The result of a set of a multiyear simulations run by the EBR model is an assessment of the net revenue impacts of salvage on national forests, other public, and private lands in the 12 contiguous western US states. In this study, we further summarize the results in terms of salvage costs and salvage revenues by state and ownership group. While not reported in this study, model outputs also include prices and economic welfare changes resulting from changes in salvage. Such changes may be of interest when seeking to quantify how salvage negatively impacts the welfare of owners of nonsalvage timber (e.g., Prestemon and Holmes 2004, Prestemon et al. 2006). It is worth noting, however, that the net revenues generated from salvage on private lands are gross, before taxes. By varying an assumption on the magnitude of a government program to salvage national forest, other public, or private timber, we describe how the geographical focus of a government-subsidized or national forest salvage program might shift across states in the West. By carrying out a “what-if” scenario that tests the effects of a doubling of the total mill capacity in two states of the West that have been heavily affected by the mountain pine beetle—Montana and Colorado—we examine how efforts to encourage or subsidize the consumption of salvaged timber would affect net revenues of salvage obtained by timberland owners (public and private). Finally, by altering our assumption about the regular accumulation of additional standing volumes of 144 WEST. J. APPL. FOR. 28(4) 2013 salvage timber—from a set annual percentage increase to no more accumulation of standing dead timber—we assess how the spatial targeting of salvage efforts on national forests and other lands would be affected. Data Timber inventory data from Forest Service FIA surveys were assembled for all timberland that is open to harvest and not protected by easements or otherwise set aside for conservation purposes in 12 western US states. The survey years used for each state are reported in Table 1. Data are summarized by owner group (all owners and national forests only), by species group (ponderosa pine, lodgepole pine, other softwood, and hardwood), and by product (sawtimber—representing the cubic foot volume in the sawlog portion of the tree—and pulpwood—representing all other growing stock volume in the tree). Trees coded as standing dead had only total volume measured, so allocations to sawtimber and pulpwood were assumed to be identical to the overall share of sawtimber and pulpwood found in the live trees on the plot, if any. Forested plots without live trees were assumed to have a sawtimber share of standing volume equal to 0.8. Further information on FIA methods can be found in Bechtold and Patterson (2005). While initial interest was in modeling salvage of only MPB-killed stands, the FIA data did not offer the option to restrict the volume and acreage data for dead timber based on the cause of mortality. While some information on MPB-affected forests in the West is available from aerial detection surveys, the data produced by these surveys (e.g., Backsen and Howell 2013) were not suitable for our study (see Meddens et al. 2012). Although modeling the salvage of timber killed by all causes is not the same as modeling the salvage of MPB-killed trees, salvage operations should be indifferent to the cause of mortality. One advantage of employing FIA data is that plots are measured on a representative sample frame and, therefore, have a level of accuracy that provides greater confidence in simulated salvage programs. FIA plots have representative samples of species, sizes of trees, and site conditions, which allow for accurate assessments of both the materials that can be removed during salvage and the costs of removal of salvable timber. 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引用次数: 13

Abstract

reduction treatments in the West (Barbour et al. 2008), to quantify the jobs and biomass production impacts of these treatments (Abt et al. 2011), and to evaluate whether wildfire hazard reduction treatments yield overall net benefits on timberlands of the West (Prestemon et al. 2012). Model The EBR model is a multiyear two-stage goal and spatial equilibrium program, and it was modified for this study to model the economic feasibility of salvage of dead timber on public and private lands in the West. Although details of the model, including its mathematical formulation, are provided in Prestemon et al. (2008, 2012), describing the modeling framework is important for understanding the current study. EBR can be run for a single year or multiple years, treating timberland (salvaging standing dead trees, in this study) each year according to a predefined set of objectives. After each simulated year, timber inventory data are updated, with the transition to the next year defined by stand growth, new mortality available for salvage, and the volumes removed in the previous year’s solution. The first stage of this revised version of the EBR model is a goal program that selects locations in the West to salvage timber by maximizing a goal-weighted sum of salvage volumes, subject to maximum and minimum harvest constraints, a feasible forest product market solution, and an assumed maximum amount of expenditures available to harvest and transport salvage timber to mills. The fundamental unit of information about timber volumes (salvage, nonsalvage) to which the goal weights are applied in the EBR model is the Forest Inventory and Analysis (FIA) plot. To allow for a reasonably fast solution, plot-level information is summed to a spatial and ownership aggregate. Plot-level information includes the average distance to the nearest five sawmills (which consume sawlogs) and the average distance to the two nearest pulp or pole mills (consuming the smaller diameter portions of trees in the stand). Other variables reported or calculated at the plot level include volumes by product category (merchantable live and dead sawlogs and pulpwood) and tree groups—ponderosa pine (Pinus ponderosa and P. lambertiana), lodgepole pine (P. contorta), southern pine (especially P. echinata, P. palustris, P. elliottii, P. taeda), other softwood, and hardwood; ownership (national forest, other public, private); LANDFIRE Map Zone (LANDFIRE 2010); the harvest cost for removing live or dead volumes; and, an administration cost of $200/acre for public and $100/acre for private timberland salvage. In this study, we aggregated plot-level information up to the map zone for each ownership group for each of the 12 western states in the contiguous United States. LANDFIRE map zones are generalized geographical units with similar ecological and biophysical characteristics. The 50 United States contain 79 such zones, which span state boundaries. The 12 states in this study contain 29 map zones, although the area and total standing timber volume found in these zones vary widely. Therefore, the basic modeling units, from which treatment volumes could be obtained in the first stage, are the map zone–ownership aggregates in each of the 12 western states. Depending on the simulation implemented (more information on the simulations is provided in the next section), treatment volumes selected in the first stage could be obtained from parts or all of one map zone–ownership aggregate. Harvest costs, timber volume information by species and live or dead status, and transport costs were expanded to the map zone–ownership aggregate using an area expansion factor. The result is a summary of the total area of stands of salvable timber in each map zone–ownership aggregate and for each of these the weighted average volumes per acre by species by product by live and salvable dead, weighted average transport distances to mills, and the weighted average harvest cost. Finally, the goal weights placed on map zone–ownership aggregates were the presolution net revenues of timber salvage removed; only dead standing salvable timber could be removed. The net revenue in the first stage is defined as the premarket solution value of salvaged sawlogs and pulpwood by species: the delivered volume multiplied by each product’s respective market price times a salvage discount factor minus the total stand’s harvest and transport costs per acre. As defined, net revenues can be negative. In effect, the EBR model had an ordered preference for salvage of timberlands according to their per acre net revenues. The second stage of the EBR model maximizes, subject to the salvage volumes selected in the first stage in each map zone–ownership aggregate location, the sum of timber product producer and consumer surplus minus transport costs for harvested volumes of both salvage and nonsalvage timber moving across state and international borders (Samuelson 1952, Takayama and Judge 1964). The basic timber product market modeling unit—two levels of aggregation higher than the map zone–ownership—in which equilibrium product prices by species group are obtained, is the state. Trade restrictions that ban exports of roundwood flowing from western US federal lands are imposed. State level maximum processed volumes are determined by state-level mill capacities that act as a physical limit on the volume of timber products that can be processed within the state without new processing capacity being added. We allow these capacities to be exceeded by up to 30% to reflect the possibility of adding shifts to existing mills (Prestemon et al. 2008). The EBR model also allows for the siting of new processing capacity, although this is not implemented endogenously (as in Ince et al. 2008). The second stage optimal solution is a set of market equilibrium product prices, and the volumes by species of timber salvaged (and harvested nonsalvage) produced in each state, consumed at mills in each location, and traded across state and international borders. The result of a set of a multiyear simulations run by the EBR model is an assessment of the net revenue impacts of salvage on national forests, other public, and private lands in the 12 contiguous western US states. In this study, we further summarize the results in terms of salvage costs and salvage revenues by state and ownership group. While not reported in this study, model outputs also include prices and economic welfare changes resulting from changes in salvage. Such changes may be of interest when seeking to quantify how salvage negatively impacts the welfare of owners of nonsalvage timber (e.g., Prestemon and Holmes 2004, Prestemon et al. 2006). It is worth noting, however, that the net revenues generated from salvage on private lands are gross, before taxes. By varying an assumption on the magnitude of a government program to salvage national forest, other public, or private timber, we describe how the geographical focus of a government-subsidized or national forest salvage program might shift across states in the West. By carrying out a “what-if” scenario that tests the effects of a doubling of the total mill capacity in two states of the West that have been heavily affected by the mountain pine beetle—Montana and Colorado—we examine how efforts to encourage or subsidize the consumption of salvaged timber would affect net revenues of salvage obtained by timberland owners (public and private). Finally, by altering our assumption about the regular accumulation of additional standing volumes of 144 WEST. J. APPL. FOR. 28(4) 2013 salvage timber—from a set annual percentage increase to no more accumulation of standing dead timber—we assess how the spatial targeting of salvage efforts on national forests and other lands would be affected. Data Timber inventory data from Forest Service FIA surveys were assembled for all timberland that is open to harvest and not protected by easements or otherwise set aside for conservation purposes in 12 western US states. The survey years used for each state are reported in Table 1. Data are summarized by owner group (all owners and national forests only), by species group (ponderosa pine, lodgepole pine, other softwood, and hardwood), and by product (sawtimber—representing the cubic foot volume in the sawlog portion of the tree—and pulpwood—representing all other growing stock volume in the tree). Trees coded as standing dead had only total volume measured, so allocations to sawtimber and pulpwood were assumed to be identical to the overall share of sawtimber and pulpwood found in the live trees on the plot, if any. Forested plots without live trees were assumed to have a sawtimber share of standing volume equal to 0.8. Further information on FIA methods can be found in Bechtold and Patterson (2005). While initial interest was in modeling salvage of only MPB-killed stands, the FIA data did not offer the option to restrict the volume and acreage data for dead timber based on the cause of mortality. While some information on MPB-affected forests in the West is available from aerial detection surveys, the data produced by these surveys (e.g., Backsen and Howell 2013) were not suitable for our study (see Meddens et al. 2012). Although modeling the salvage of timber killed by all causes is not the same as modeling the salvage of MPB-killed trees, salvage operations should be indifferent to the cause of mortality. One advantage of employing FIA data is that plots are measured on a representative sample frame and, therefore, have a level of accuracy that provides greater confidence in simulated salvage programs. FIA plots have representative samples of species, sizes of trees, and site conditions, which allow for accurate assessments of both the materials that can be removed during salvage and the costs of removal of salvable timber. Salvage volume adjustment factors were applied to the standing timber, with an assumption that the net salvable volume
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西部山松甲虫木材回收的经济评价
西部的森林减少处理(Barbour et al. 2008),量化这些处理对就业和生物量生产的影响(Abt et al. 2011),并评估减少野火危害的处理是否能给西部林地带来总体净效益(Prestemon et al. 2012)。EBR模型是一个多年的两阶段目标和空间平衡方案,并在本研究中对其进行了修改,以模拟西部公共和私人土地上枯木回收的经济可行性。尽管Prestemon等人(2008,2012)提供了模型的细节,包括其数学公式,但描述建模框架对于理解当前的研究很重要。EBR可以运行一年或多年,每年根据预先设定的目标处理林地(在本研究中,回收直立的死树)。在每个模拟年之后,木材库存数据都会更新,并根据林分增长、可供回收的新死亡率和上一年解决方案中移除的数量来确定向下一年的过渡。EBR模型修订版的第一阶段是一个目标计划,根据最大和最小采伐限制、可行的林产品市场解决方案以及采伐和运输木材到工厂的假定最大支出,通过最大化目标加权的木材采伐量来选择西部地区的木材采伐地点。在EBR模型中,目标权重所应用的关于木材体积(残余物和非残余物)的基本信息单位是森林清查与分析(FIA)图。为了允许合理快速的解决方案,将地块级信息汇总为空间和所有权汇总。小区级信息包括到最近的五家锯木厂的平均距离(消耗锯木)和到最近的两家纸浆厂或杆厂的平均距离(消耗林分中较小直径部分的树木)。在样地水平上报告或计算的其他变量包括按产品类别(可出售的活、死锯材和纸浆材)和树群的体积——黄松(黄松和蓝柏木)、黑松(白松)、南松(特别是紫松木、palustris、P. elliottii、P. taeda)、其他软木和硬木;所有权(国家森林,其他公共,私人);LANDFIRE地图区(LANDFIRE 2010);移除活的或死的卷的收获成本;此外,公共林地的行政费用为每英亩200美元,私人林地的行政费用为每英亩100美元。在这项研究中,我们将美国西部12个州的每个所有权群体的地块级信息汇总到地图区域。LANDFIRE地图带是具有相似生态和生物物理特征的广义地理单元。美国50个州有79个这样的区域,它们跨越州界。本研究中的12个州包含29个地图区域,尽管这些区域的面积和总伐木量差异很大。因此,在第一阶段可以从中获得处理量的基本建模单元是西部12个州中每个州的地图区域所有权总和。根据所实现的模拟(关于模拟的更多信息将在下一节中提供),可以从一个地图区域所有权集合的部分或全部中获得第一阶段选择的处理量。利用面积扩展因子,将采伐成本、树种和活死状态的木材量信息以及运输成本扩展到地图区域所有权集合。结果是每个地图区域可回收木材的总面积的汇总,以及每英亩按物种、产品、活材和可回收死材的加权平均体积,到工厂的加权平均运输距离,以及加权平均采伐成本。最后,对地图区域所有权总量的目标权重是去除木材打捞的解决净收入;只有不动的、可打捞的木材才能被移走。第一阶段的净收入定义为按品种回收的锯木和纸浆木材的上市前解决方案价值:交付量乘以每种产品各自的市场价格乘以回收折扣系数减去每英亩总林分的收获和运输成本。按照定义,净收入可以是负的。实际上,EBR模型根据每英亩净收入对林地的回收有一个有序的偏好。EBR模型的第二阶段,根据第一阶段在每个地图区域所有权聚集位置选择的回收量,最大限度地利用木材产品生产者和消费者剩余的总和减去回收和非回收木材跨越州际边界的运输成本(Samuelson 1952, Takayama和Judge 1964)。 以状态为基本木制品市场模型单元,即比地图区域所有权高两级的聚集层,在此模型单元中,按物种组求得均衡产品价格。禁止从美国西部联邦土地出口圆木的贸易限制被实施。州一级的最大加工量由州一级的工厂能力决定,这是在不增加新的加工能力的情况下可以在州内加工的木材产品数量的物理限制。我们允许这些产能超过30%,以反映现有工厂增加班次的可能性(Prestemon等人,2008年)。EBR模型也允许新的处理能力的选址,尽管这不是内生实现的(如Ince et al. 2008)。第二阶段的最优解决方案是一组市场均衡产品价格,以及每个州生产的回收木材(和收获的非回收木材)的种类数量,每个地方的工厂消费,以及跨州和国际边界进行交易。由EBR模型运行的一组多年模拟的结果是对美国西部12个相邻州的国家森林、其他公共和私人土地的回收净收入影响的评估。在本研究中,我们进一步总结了国家和所有权集团在打捞成本和打捞收入方面的结果。虽然在本研究中没有报告,但模型输出还包括由救助变化引起的价格和经济福利变化。当试图量化救助如何对非救助木材所有者的福利产生负面影响时,这些变化可能会引起人们的兴趣(例如,Prestemon和Holmes 2004, Prestemon等人2006)。然而,值得注意的是,从私人土地上打捞所得的净收入是税前的毛额。通过改变对政府救助国家森林、其他公共或私人木材计划规模的假设,我们描述了政府补贴或国家森林救助计划的地理焦点如何在西部各州之间转移。在蒙大拿州和科罗拉多州这两个受到山松甲虫严重影响的西部州,我们通过一个“假设”的场景来测试将工厂总产能增加一倍的影响,研究鼓励或补贴回收木材的努力将如何影响林地所有者(公共和私人)获得的回收净收入。最后,通过改变我们对144 WEST额外立木量规律积累的假设。j:。对。28(4) 2013年的打捞木材——从固定的年增长百分比到不再积累的枯木——我们评估了对国家森林和其他土地的打捞工作的空间目标的影响。来自林务局FIA调查的木材库存数据汇集了美国西部12个州所有开放采伐且未受地役权保护或以其他方式预留用于保护目的的林地。每个州使用的调查年份如表1所示。数据按所有者组(仅限所有所有者和国家森林)、按树种组(黄松、黑松、其他软木和硬木)和副产品(锯材-代表树木锯木部分的立方英尺体积和纸浆-代表树木中所有其他生长蓄积量)汇总。编码为枯树的树木只测量了总体积,因此,假设对锯木和纸浆木的分配与地块上活树中发现的锯木和纸浆木的总体份额相同,如果有的话。假设没有活树的森林地块的锯材占林分积的比例为0.8。关于FIA方法的更多信息可以在Bechtold和Patterson(2005)中找到。虽然最初的兴趣是建立只对mpb砍伐的林分进行回收的模型,但FIA的数据并没有提供基于死亡原因限制枯木数量和面积数据的选项。虽然可以从航空探测调查中获得一些关于西部受mpb影响的森林的信息,但这些调查(例如Backsen和Howell 2013)产生的数据不适合我们的研究(见Meddens et al. 2012)。尽管对因各种原因死亡的木材的打捞建模与对mpb杀死的树木的打捞建模不同,但打捞作业应该对死亡原因漠不关心。采用FIA数据的一个优点是,图是在代表性样本框架上测量的,因此具有一定程度的准确性,为模拟打捞计划提供了更大的信心。FIA地块具有代表性的树种、树木大小和现场条件样本,可以准确评估在打捞过程中可以移除的材料和移除可回收木材的成本。 将打捞体积调整因子应用于直立木材,并假设净可打捞体积
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The Survival of Mountain Pine Beetle in Unpeeled Logs Productivity and soil properties 45 years after timber harvest and mechanical site preparation in western Montana Modeling the Transition from Juvenile to Mature Wood Using Modulus of Elasticity in Lodgepole Pine An Economic Assessment of Mountain Pine Beetle Timber Salvage in the West Field Note: Snow Damage Patterns in Maturing Mixed-Species Plantations of the Sierra Nevada
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