Abstract
Using an imported timber-based solid wood box bed (2000 mm × 1800 mm) as the functional unit, the ILCD 2011 midpoint assessment method was used to measure the life cycle carbon emissions of the product. Using this assessment, the Dijkstra algorithm was adopted to determine the shortest supply chain path and to obtain the minimum carbon footprint of the supply chain. Results showed that the total carbon footprint of the wood bed was 464 kg for the control case. For experimental cases, the carbon footprint ranged from 456 kg to 517 kg CO2-eq. The upstream process was identified as the primary contributor to the carbon footprint, accounting for 74.6% to 80.7% of the total carbon footprint, followed by the downstream and the core-stream processes. Configuration of a timber harvesting system with lower fuel consumption, purchasing timber from areas within shorter transportation distance, and reducing the proportion of incineration for waste treatment were feasible solutions to reduce the carbon footprint of the product. A case study optimizing the low-carbon path for the wooden furniture supply chain determined the shortest path for the participants in each link, such that the minimum total carbon footprint of the supply chain was 463 kg CO2-eq.
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Carbon Footprint Accounting and Low-Carbon Path Optimization for Imported Timber-based Wooden Furniture Supply Chains
Hui Wang, Jinzhuo Wu,* and Zhili Chen
Using an imported timber-based solid wood box bed (2000 mm × 1800 mm) as the functional unit, the ILCD 2011 midpoint assessment method was used to measure the life cycle carbon emissions of the product. Using this assessment, the Dijkstra algorithm was adopted to determine the shortest supply chain path and to obtain the minimum carbon footprint of the supply chain. Results showed that the total carbon footprint of the wood bed was 464 kg for the control case. For experimental cases, the carbon footprint ranged from 456 kg to 517 kg CO2-eq. The upstream process was identified as the primary contributor to the carbon footprint, accounting for 74.6% to 80.7% of the total carbon footprint, followed by the downstream and the core-stream processes. Configuration of a timber harvesting system with lower fuel consumption, purchasing timber from areas within shorter transportation distance, and reducing the proportion of incineration for waste treatment were feasible solutions to reduce the carbon footprint of the product. A case study optimizing the low-carbon path for the wooden furniture supply chain determined the shortest path for the participants in each link, such that the minimum total carbon footprint of the supply chain was 463 kg CO2-eq.
Keywords: Solid wood bed; Dijkstra algorithms; Greenhouse gas; Sawn timber; Laminated timber
Contact information: College of Engineering and Technology, Northeast Forestry University, Harbin 150040 China; * Corresponding author: wjz@nefu.edu.cn
INTRODUCTION
Global climate change caused by carbon emissions has caused considerable adverse impacts to human society and economic development, and as such, has gained more and more attention in world politics, economics, and sciences fields (Li 2011; Mantyka-Pringle et al. 2015). Low carbon manufacturing and carbon reduction have become the core concepts of the sustainable development of human society (Ali et al. 2020; Gierling and Blanke 2021). The carbon footprint of a product is defined as the total carbon dioxide and other greenhouse gases emitted during the product life, from raw material extraction to recycling or disposal (Dong et al. 2014). In order to mitigate climate change and reduce carbon emissions, the product carbon footprint has been widely used in various products to help enterprises understand the carbon emissions associated with their products as well as adopt feasible measures to reduce carbon emissions (Garofalo et al. 2017; Tellnes et al. 2019; Ledgard et al. 2020).
China is the second largest timber consumer and the largest timber importer in the world (Yu et al. 2018). In 2017, the import volume of timber in China was approximately 108.5 million cubic meters, registering a year-over-year growth of 16.1%. In the same year, the wooden furniture exported from China was 19.986 billion dollars (United Nations 2021). The supply chain of wooden furniture is characterized by a global network with numerous links and complex manufacturing processes. With the increasing demand for wooden furniture, the carbon footprint associated with the supply chain of wooden furniture is also increasing. By analyzing the carbon footprint of wooden furniture, the enterprises in the supply chain, especially the core enterprise, can gain a better understanding of the impacts of the product on climate change and then take appropriate countermeasures, e.g., technology improvement and optimization of supply chain structure, to reduce carbon emissions.
Life-Cycle Assessment (LCA) has been regarded as the most scientifically reliable method currently available for studying and evaluating the environmental impacts of a certain product or process (Ness et al. 2007; Abdallah et al. 2012; Mota et al. 2015). The specific approaches to perform LCA for GHG estimation include process analysis (PA-LCA)/bottom-up, input-output (IO-LCA)/top-down, and hybrid LCA (the combination of PA-LCA and IO-LCA) (Pandey et al. 2011). Currently, several studies have been conducted to account for the carbon footprint of wooden furniture via the PA-LCA method. For example, González-García et al. (2011) carried out a life cycle assessment on several indoor and outdoor wood products from a cradle-to-gate perspective, using global warming potential as the selected impact category. The results showed that metals, boards, and energy usage were the most contributing elements to the environmental impact of the different products under assessment, with total contributions ranging from 40% to 90%. González-García et al. (2012) used the life cycle assessment method to determine the environmental profile of a set of wooden furniture in order to facilitate the eco-design of the product. They found that the processes of wooden board production and electricity were the key environmental factors, with contributions of 45% to 68% and 14% to 33%, respectively. By applying eco-design strategies, the environmental profile of the product could be reduced by 14%. Linkosalmi et al. (2016) assessed the greenhouse gas emissions of different wooden furniture in Finland and eight furniture manufacturing processes were evaluated to identify the major factors that contributed to greenhouse gas emissions. The results showed that raw materials had the most substantial impact on greenhouse gas emissions, followed by processing and assembling. The process of packaging and transportation had the least impact. Lin and Huang (2016) compared the carbon footprint of two wooden bedside cupboards of the same size made with different raw materials and found that the carbon footprint of solid wood products (16.5 kg CO2-eq) was larger than that of veneer particle board products (12.26 kg CO2-eq). The upstream raw material was the largest carbon emissions source in wood-based products, accounting for 61% and 95% of the total emissions of the two products, respectively. Medeiros et al. (2017) diagnosed the life cycle environmental performance of an office cabinet based on ISO standard 14044 (2006) and the International Reference Life Cycle Data System (ILCD) 2011 midpoint and evaluated the transport scenarios and post-use options. The results showed that the most considerable environmental impact of the furniture life cycle was due to the distances covered and production of the primary raw material, i.e., wood medium-density particleboard (MDP). Environmental tradeoffs for truck fuel switches and environmental gains were achieved for the distribution of MDP from closer suppliers via truck, as well as from current supplier via truck and ship in the major categories. It is noted that previous studies indicated that the raw material had greater contribution to the carbon footprint of wooden furniture products, which involves many activities, e.g., raw material extraction and rough machining, transportation, and auxiliary material production. However, the impacts of the upstream processes on the life cycle carbon footprint accounting for different wooden furniture products were rarely reported, which may hinder the carbon reduction of the wooden furniture supply chain.
Similar to other products, a wooden furniture supply chain also consists of different entities, including suppliers, manufacturers, distributors, users, and recyclers. Under the background of green and low-carbon development, these industry practitioners are under increasing pressure to continuously reduce the negative environmental impact of wooden furniture product supply chains. By selecting appropriate participants in different links and at different levels, a low-carbon path for a wooden furniture supply chain can be realized in order to improve the environmental friendliness of the product and enhance the competitiveness of the enterprises involved (Yin and Liu 2014). Currently, most studies on carbon footprint accounting for wooden furniture focused on the production process and proposed production process carbon reduction countermeasures, e.g., using auxiliary materials with low-carbon emissions, reducing the use of paint, and improving the painting technology (Bai et al. 2013; Lin and Huang 2016; Kwangsawat and Rugwongwan 2017). However, the carbon emissions of the wooden furniture supply chain was contributed by the upstream and downstream enterprises together; the carbon reduction behavior of a single enterprise cannot effectively cut down the life cycle carbon emission of the product supply chain.
In order to realize low-carbon management of a product supply chain, Guo (2017) proposed the definition of a product carbon chain and established a carbon footprint calculation model based on the LCA method. The carbon chain optimization problem was simplified as a shortest path problem, and Dijkstra’s algorithm was used to obtain the optimal path of the product carbon chain with the lowest carbon emissions. Liu and Wang (2016) adopted the life cycle assessment method to calculate the carbon footprint of wooden cabinets, which includes both domestic gate-to-gate stages and imported raw material cradle-to-gate stages that may be located in different countries (mid-Europe, Northern Europe, and the United States). They found that large variances existed in the carbon emissions of imported materials under different import patterns and that the contribution structure of the total carbon footprint was different under these import patterns.
It was suggested that the Northern Europe patterns should be shifted to other import patterns, which could drastically reduce the carbon footprint of wood cabinets. Since the wooden cabinet was produced from imported materials and was intended for export to other countries, the scenario of domestic distribution and discharge should also be considered. In summary, the network structure of an imported timber-based wooden furniture supply chain was more complex compared to that of domestic timber-based supply chains, and the corresponding carbon footprint optimization of the product supply chains were not well documented. Therefore, it is necessary to study the low-carbon path optimization for wooden furniture supply chains.
The objectives of the study are to: (1) establish a cradle-to-grave carbon footprint model for a specific type of wooden furniture via the LCA method; (2) evaluate the carbon emissions of the wooden furniture supply chain and conduct sensitivity analysis by considering different import sources, disposal modes, etc.; and (3) carry out low-carbon path optimization for the wooden furniture supply chain.
EXPERIMENTAL
Product Carbon Footprint Calculation Method
PAS standard 2050 (2011), ISO standard 14067 (2018), and the GHG protocol (2011) are widely used standards for product-level carbon footprint accounting (Bai et al. 2014). They are based on ISO 14040 &14044 (2006). Under these standards, LCA method is usually used for better understanding the environmental impacts of products in terms of their whole life-cycle. It can be used for carbon footprint accounting of wooden furniture as well as helping to improve the environmental performance during product eco-design and supply chain management (Hawkins et al. 2015). LCA can be performed in four steps, including goal and scope definition, life cycle inventory analysis, life cycle impact assessment, and interpretation of the results (AzariJafari et al. 2016). In this study, PAS 2050 (2011) was used to account for the carbon footprint of a solid wood bed produced by a wooden furniture manufacturer in Northeast China. The PAS standard 2050 (2011) provides organizations a consistent method for measuring the greenhouse emissions starting from the collection of the raw materials though its production and disposal (Garcia and Freire 2014). It can help organizations to identify hotspots and reduce carbon emissions in their product supply chain. The calculation formula for the carbon footprint is expressed by Eq. 1,
where GHG represents the carbon footprint of the product, Ai refers to the quantity or intensity data of a substance or activity (mass/volume/km/kWh), and Ei represents the unit greenhouse gas emission factor (CO2-eq per unit).
Research material
Wooden furniture primarily includes solid wooden furniture and panel furniture. In recent years, the demand for solid wooden furniture dramatically increased due to an increase of awareness of environmental protection and life quality; therefore, it is of great importance to study the carbon footprint of solid wooden furniture. Compared to other solid wooden furniture, solid wood beds are more common in the market. In this study, a large scale wooden furniture manufacturer located in Yichun city, Northeast China, was investigated, which primarily produced solid wooden furniture and panel furniture and focused on mid and high end customers. It can produce a series of solid wood beds of different types (platform bed, box bed, and pneumatic bed) and various dimensions (king size, queen size, full size, and twin size). Since the solid wood box bed (2000 mm × 1800 mm) requires more work and consumes lots of wood, it was used as the research object. The product was composed of a headboard, partitions, pull plates, and bed drawers. The primary material used was beech sawn timber and radial pine laminated timber.
Goal and scope
The goal of this study was to evaluate the carbon emissions of a solid wood box bed supply chain based on imported timber and domestic manufacturing and use, as well as identify the hotpots throughout the supply chain, in order to provide data for low-carbon path optimization in the following analysis. Therefore, the functional unit was a solid wood box bed with dimensions 2000 mm × 1800 mm (80 kg). The system boundary of the solid wood bed supply chain was defined as the entire life cycle, i.e., from cradle to grave, which included timber acquisition and auxiliary material production, procurement and transportation, material preliminary processing, on-site manufacturing, warehousing, sales distribution, use, and disposal. These processes can generally be divided into three macro-areas or processes: upstream processes, core-stream processes, and downstream processes. The upstream processes involved three stages, including timber acquisition and production of other auxiliary materials, procurement and transportation, and preliminary material processing, i.e., sawn timber processing and laminated timber processing (as shown in Fig. 1a). In this stage, greenhouse gas emissions came from the raw material acquisition and production, the consumption of fuels during transportation, and the usage of electricity during the initial processing of the materials. Depending on the sources of the timber used, the transportation distance and transport mode may vary greatly. The core-stream processes included material preparation, finishing, spray coating, and packaging, as shown in Fig. 1b. Since the direct emissions during furniture production was limited, accounting for less than 1% of the total emissions, the direction emission data was not considered in this study, according to the common verification criteria for product carbon footprints (Lin and Huang 2016). Greenhouse gas emissions were primarily related to the use of electricity for production and on-site storage. In the downstream processes, the greenhouse gas emissions from sales and distribution, i.e., transportation and storage, and disposal treatment, i.e., recycling and incineration/landfill, were considered (as shown in Fig. 1c). The consumption of fuel and energy during transportation and waste treatment were the primary source of greenhouse gas emissions. In order to simplify the supply chain of a solid wood bed, it was assumed the greenhouse gas emissions during the stage of use were zero and all the used wood beds were incinerated or placed in a landfill without considering the recycling of the furniture.
Fig. 1. System boundaries of a solid wood bed
Life cycle inventory analysis
A life cycle inventory analysis focuses on the identification and quantification of all resources used, e.g., energy, water, raw materials, and processed materials, to produce a product and all substances released into the environment, e.g., pollutants into the air, soil, and water (Nieuwlaar 2004). In this study, the resource usage and greenhouse gas emissions (CO2 equivalent) in different stages of the solid wood bed supply chain were quantified.
A solid wood bed as a functional unit needed to consume 0.11 m3 of sawn timber and 0.36 m3 of laminated timber. It was assumed that the average recovery rate for sawn timber and laminated timber were 55% and 85%, respectively (Lin et al. 2011). The loss of other raw materials was negligible. Therefore, the total volume of timber consumed was 0.97 m3.
During the up-stream processes, the acquisition of timber is a key source of greenhouse gas emissions (Lin and Huang 2016, Linkosalmi et al. 2016). The emission factors of timber harvesting were determined by the configuration of the log harvesting system, machine rate, and fuel consumption rate. According to the UN Comtrade Database, the primary forest products, i.e., logs and sawn timber, imported by China were primarily sourced from North America, Russia, New Zealand, Papua New Guinea, and Canada in the recent years (United Nations 2021). The fuel consumption rates of the timber harvesting systems commonly used in these areas (S1 to S5) by process and carbon emissions are shown in Table 1. It is noted that in order to compare the carbon emissions of different systems, the same type of loader was used in all the systems.
Table 1. Fuel Consumption Rates of Common Ground-based Timber Harvesting Systems by Process (L·m-3) and Carbon Emissions (CO2-eq·m-3)
Table 2. Carbon Emission Inventory Data of Auxiliary Materials for A Solid Wood Bed Functional Unit
For the control case, the beech timber was assumed to be imported from Germany and the Pinus radiata wood was imported from New Zealand. The corresponding ocean transportation distances were approximately 20700 km and 10080 km, respectively. A carbon emission rate of 0.0177 kg CO2·t-1·km-1 for ocean shipping was considered (He 2016). The timber harvesting system S1 was used to determine the carbon emissions of log acquisition. The exported timber was transported from the harvesting site to the export port at a distance of 500 km and the carbon emission rate was 0.0143 kg CO2·m-3·km-1 (Healey et al. 2009). Wood fumigation is required in wood import and export in order to get rid of pests. For the control case, the exported timber was assumed to be treated with methyl bromide for 48 h at temperatures greater than 21 °C and the usage of methyl bromide was 48 g·m-3. The emission factor of methyl bromide was assumed to be 0.36 kg CO2-eq·kg-1 (Anil et al. 2020). The domestic road transportation distance from the importing port to the manufacturing plant was approximately 1000 km and the corresponding carbon emission rate was 0.1553 kg CO2·t-1·km-1 (Xie and Wang 2011). The imported timber was initially processed into sawn timber and laminated timber near the importing port before entering into the furniture manufacturing process. The sawing process involved demarking and the cutting of the logs into sections, which were sawn into timber boards. A conventional drying method was used to control the time and temperature of the drying kiln. According to a state-of-the-art of sawing process in China, the average carbon emissions of the sawing and drying process were approximately 40 kg CO2-eq per cubic meter (Shen et al. 2016; Chen et al. 2019). Laminated timber is made of board lamellas, which are finger-jointed lengthwise and then glued together with parallel fibers. The technical process of laminated timber includes lumber preparation, finger jointing, layup and gluing, pressing, and finishing. The average carbon emissions of the laminated timber production process were approximately 100 kg CO2-eq per cubic meter (Dai et al. 2018; Chen et al. 2019). Since the amount of auxiliary materials, e.g., paint, hardware, adhesives, sponge paper, corrugated cartons, and polystyrene foam, were minute, the emission factors of these materials were referred from the databases (ELCD, Ecoinvent, USA Input Output Industry Data, and USLCI) in the SimaPro 9.0 software. The usage of auxiliary materials for a solid wood bed functional unit and the corresponding emission factors are shown in Table 2.
In the core-stream processes, the carbon emissions were primarily from the consumption of electricity caused by the usage of equipment in the material preparation, finishing, spraying and coloring, and assembling and packaging stages. Additional electricity usage from the storage of the parts of the products was also considered. The emission factor of electricity (1.0935 kg CO2-eq·kWh-1) was sourced from the baseline emission factor for the regional power grid in Northeast China (National Development and Reform Commission of China 2021). The electricity consumption by the manufacturing equipment was calculated by Eq. 2,
(2)
where EC represents the power consumption of the manufacturing equipment (kWh), PE refers to the power of the manufacturing equipment (kW), PC refers to the processing time (h·m-3), and PV refers to the processing quantity (m3). The related parameters, e.g., the power of the equipment and the production capacity, were from the equipment data plate, on-site measurements, and the experience values estimated by the operators. The use of electricity for the automatic painting production line was 0.53 kWh·m-2. The electricity consumption by warehousing was estimated according to the warehouse area (m2), power consumed per unit area (kWh·m-2), and the quantity of solid wooden furniture stored (sets). Based on the above parameters, a solid wood bed functional unit required 31.2 kWh of electricity for manufacturing and painting and 1.8 kWh of electricity for warehousing. It is noted that the scrap materials will be recovered in the core part of operation and used as fuel and the sawdust will be sold to a third party. However, the carbon emissions associated with this operation were not considered in this study due to the limit of data collection.
In the downstream processes, only the carbon emissions during product distribution, recycling and waste treatments were considered in this study. In fact, wooden furniture can be used for tens of years, so it can be regarded as a carbon sink to some extent. During the usage stage of wooden furniture, the carbon emissions were very limited, which can be neglected. The commonly used methods for wooden furniture waste treatment included incineration and landfill dumping. Both methods will generate a certain amount of greenhouse gas. For the control case, it was assumed that the full capacity of a 6-ton box truck with a fuel consumption rate of 11 liters per 100 km were used in product distribution and the average transportation distances for the line-haul transport and local distributions were 1000 km and 40 km, respectively. The used wooden furniture was locally disposed, which was recycled by professional recycling agencies via dump trucks. Since the waste processing facility or landfilling site is usually located in the urban fringe, a longer transportation distance of 50 km was assumed. The allocation of wooden furniture waste treatment in the control case was 60% for incineration and 40% for landfill dumping.
Low-carbon Path Selection Method
In the timber-related businesses, supply chain management is essential not only for controlling the supply chain cost but also for limiting the carbon footprint of the product (Garcia and Freire 2011). The wooden furniture supply chain is composed of multiple entities, including raw materials, e.g., wood, hardware, adhesives, etc., producers, suppliers, furniture manufacturers, retailers, users, and recycling agencies. The network structure of a wooden furniture supply chain is shown in Fig. 2.
Fig. 2. Network structure of the wooden furniture supply chain
The manufacturer, as the core of the supply chain, purchases raw materials from selected suppliers, and delivers the products to retailers through direct sales or distribution. The final products are recycled via recycling agencies or treated via landfill dumping or incineration. The raw material producers, suppliers, manufacturers, retailers, and recycling agencies are the key links in the supply chain of wooden furniture, and their carbon emissions can greatly determine whether the supply chain of wooden furniture meets low-carbon development requirements. Since each type of company has a certain number of entities of the same nature and the products may undergo different activities in these entities with different levels of carbon emissions, the carbon footprint of wooden furniture may drastically vary from the perspective of the supply chain. Therefore, it is critically important to design a low-carbon path by selecting appropriate companies in each link of the supply chain in order to lower the carbon footprint of the wooden furniture products.
The Dijkstra algorithm was used to identify the optimal low-carbon path of the wooden furniture supply chain. It is an effective algorithm to solve the single-source shortest path problem for a directed graph with nonnegative edge weights (Sunita and Garg 2021). Assuming that V is a point in a directed graph G, and E is the edge connecting the points in G, then graph G can be expressed by Eq. 3,
(3)
The minimum value of the path (u0) can be calculated according to Eq. (4),
(4)
where W (e) is the weight of the line u(pi,pj) that connects the two points pi,pj (W (e) ≥ 0), and W (u) is the length of the path u (Wang et al. 2019).
The Dijkstra algorithm basically starts at a node (the source node) and it analyzes the graph to find the shortest path between that node and all the other nodes in the graph. The algorithm keeps track of the currently known shortest distance from each node to the source node and it updates these values if it finds a shorter path. Once the algorithm has found the shortest path between the source node and another node, that node is marked as “visited” and added to the path. The process continues until all the nodes in the graph have been added to the path. Then, a path can be obtained that connects the source node to all other nodes following the shortest path possible to reach each node (Javaid 2013; Wang and Li 2014).
Since a furniture manufacturer usually purchases raw materials from different suppliers, the network structure of the wooden furniture supply chain was simplified and the suppliers, furniture manufacturers, distributors, retailers, and recycling agencies were used as nodes. The carbon emissions of different producers were allocated to the nodes of different suppliers. In the directed graph G, the weight of the edge was expressed by carbon emissions. Besides the starting point and the end point, the dichotomy method was used to assign the edge weights, as shown in Eq. 5,
(5)
where W is the weight value of the edge, e represents the carbon footprint value of the node, i is the front-end point, j is the intermediate node point, and k is the end point.
Using this method, a weighted directed graph of the wooden furniture supply chain was established. The Dijkstra algorithm was adopted to determine the shortest path of the graph and the minimum total carbon footprint of the wooden furniture supply chain was determined.
RESULTS AND DISCUSSION
Carbon Footprint of the Control Case
The carbon footprint accounting model was established using the life cycle analysis software SimaPro 9.0, while the ILCD 2011 midpoint method was used to calculate the carbon emissions (kg CO2-eq) of a solid wood bed functional unit. The carbon emissions of different processes with detailed contributors are shown in Table 3. Results showed that the total carbon footprint of the solid wood bed was 464 kg CO2-eq. The highest carbon emissions were from the upstream processes (364 kg CO2-eq or 78.49%), followed by the downstream processes (63.7 kg CO2-eq or 13.7%), and the core-stream processes (36.1 kg CO2-eq. or 7.78%).
Table 3. Carbon Emissions of Different Processes and Detailed Contributors
In the upstream process, ocean transportation was the largest contributor, which was followed by auxiliary materials production, initial processing (laminated timber and sawn timber processing), and domestic road transportation. The carbon footprint contributions of log acquisition, foreign road transportation, and wood fumigation were relatively lower (less than 1.5%). The contribution of laminated timber processing was greater than that of sawn timber processing in terms of carbon emissions. This is due to the fact that more laminated timber was used (0.36 m3) in a solid wood bed functional unit and the carbon emissions for producing laminated timber was considerably higher than those of sawn timber. In the core-stream processes, the use of electricity in manufacturing and painting was identified as the major source of carbon emissions. In the downstream processes, the major emissions source was waste treatment (Incineration and landfill dumping), followed by product distribution (line-haul transport and local distribution) and recycling.
The results indicated that the largest contribution to the carbon footprint occurred at the upstream processes, which were consistent with the results of previous studies (Bai et al. 2013; Lin and Huang 2016; Liu and Wang 2016; Linkosalmi et al. 2016; Medeiros et al. 2017). For example, Liu and Wang (2016) analyzed the carbon footprint of wooden cabinets, which was composed of both domestic “gate to gate” stages and imported raw material “cradle to gate” stages. They found that the carbon footprint contribution of the imported raw material “cradle to gate” stages was greater than that of the domestic “gate to gate” stages and products with imported raw materials from Northern Europe and the global market yielded the highest carbon footprint. Medeiros et al. (2017) carried out a full life cycle assessment on a sliding door filing cabinet and compared the environmental impact of different transportation strategies and the selection of different fuels for transportation. The results indicated that the most substantial environmental impact of the furniture life cycle was due to the transportation distance covered and production of the primary raw material, i.e., wood medium-density particleboard (MDP). Therefore, choosing low-carbon raw materials, designing reasonable transportation routes, and promoting the use of green fuels are effective ways to promote the low-carbon development of wooden furniture products. The carbon footprint accounting model in the control was established to help enterprises and organizations understand the life-cycle carbon emissions of the studied solid wood bed, and identify the most intensive emission sectors; thus, effective countermeasures for carbon emissions reduction and the optimization of resource distribution and utilization could be proposed (Kulak et al. 2016). However, many uncertainties still remain during the assessment of product carbon footprints, e.g., emissions factors, transportation distances, the configuration of timber harvesting systems, waste treatment modes, etc.
Uncertainty Analysis of Carbon Footprints
Uncertainty analysis refers to a systematic procedure to quantify the uncertainty introduced in the results of an LCI analysis due to the cumulative effects of model imprecision, input uncertainty, and data variability (ISO 14040 2006). The major types of uncertainty analysis include data collection related uncertainty, model correctness related uncertainty, and model completeness related uncertainty (Anil 2010). In this study, a Monte Carlo analysis was used to capture and quantify an uncertainty range of an inventory result based on given uncertainty information of the control case. The 95% confidence interval was (414, 550) with an average of 464 kg CO2-eq. The standard deviation was 35.9 kg CO2-eq and the dispersion coefficient was 7.75%. The probability distribution of the eigenvalues is shown in Fig. 3. It is shown that the degree of dispersion was not exceptionally large, and the accuracy of the evaluation result was high.
Fig. 3. Probability distribution of the carbon footprint for a solid wood bed functional unit
A sensitivity analysis was also conducted based on different scenarios in order to further compare the life cycle carbon footprint of a solid wood bed. The carbon footprint of a timber harvesting system may drastically vary due to differences in configuration and machine efficiency. Figure 4a shows the carbon footprint of a wooden bed under different timber harvesting systems. The configurations of the timber harvesting systems considered included S1 (control case), S2, S3, S4, and S5, which were described in Table 1. It is shown that the timber harvesting system had less impact on the total carbon footprint of the product, which varied from 463 kg CO2-eq (S5) to 465 kg CO2-eq (S2). Figure 4b shows the carbon footprint of a wooden bed under different imported timber origins. Since the carbon footprint of laminated lumber was far greater than that of sawn timber in the control case, the origins of the imported timber for producing laminated timber were considered, which included New Zealand (control case), Australia, Chile, South Africa, and Canada. It is noted that ocean transportation contributed the most to carbon emissions in the control case. While the origins of the imported timber was changed from New Zealand (control case) to Chile, the total carbon footprint increased by 11.4% (517 kg CO2-eq), which indicated that the variation of imported timber origin had a considerable impact on the total carbon footprint. Figure 4c shows the carbon footprint of a wood bed under different domestic transportation distances. Currently, the transportation of timber and wooden furniture in China heavily depends on road transportation, which is a carbon-intensive transport mode. When the domestic transportation distance was changed from 400 to 800 km, the total carbon footprint increased from 456 kg to 489 kg CO2-eq. Figure 4d shows the carbon footprint of a wood bed under different combinations of waste treatment modes. Even though waste treatment accounted for a small proportion of the total carbon footprint, the treatment of wasted furniture has received more attention recently. Compared to the control case of 60% for incineration and 40% for landfill dumping, an increase of incineration proportion to 90% will reduce the total carbon footprint to 471 kg CO2-eq, while cutting down the incineration proportion to 50% will reduce the total carbon footprint by 0.5%. In summary, the configuration of a timber harvesting system with less fuel consumption, purchasing timber from areas with shorter ocean transportation distances, and reducing the proportion of incineration for wood waste treatment are feasible solutions for reducing the life cycle carbon footprint of a solid wood bed that relies on imported timber.
Fig. 4. Carbon footprint of a functional unit solid wood bed in different scenarios
Low-carbon Path Optimization
The structure of the wooden furniture supply chain is extremely complex, and is composed of different suppliers, manufacture, retailers, users, and recycling agencies. In order to simplify the structure of the wooden furniture supply chain and focus on the carbon emission entities, several assumptions were made, as follows: (a) except for furniture manufacturers, only three typical enterprises were taken as representatives at each level of the supply chain; and (b) let Ai represent suppliers (i = 1,2,3), B1 represent the core furniture manufacturer, Cj represent distributors (j = 1,2,3), Dk represent retailers (k = 1,2,3), and En represent recycling agencies (n = 1,2,3). The carbon footprint at node Ai was based on the upstream processes in the control case. With other parameters remaining the same, different timber harvesting systems (S1, S3, S5), origins of the imported timber (New Zealand, Canada, Australia), and the domestic timber transportation distances (500 km, 800 km, 1,000 km) were combined to form A1 (S1, New Zealand, 500 km), A2 (S3, Canada, 800 km), and A3 (S5, Australia, 1000 km). The carbon footprint of the core-stream processes occurred at B1; the carbon footprint of node Cj was the carbon footprint of the first-level distribution in the downstream processes with different transportation distances (C1 is 1000 km, C2 is 1200 km, and C3 is 800 km). The carbon footprint of node Dk was the carbon footprint of the second-level distribution with different transportation distances (D1 is 40 km, D2 is 50 km, and D3 is 60 km). The carbon footprint at node En was the carbon footprint of waste recycling and treatment. Different recycling transportation distances (50 km, 55 km, and 60 km) and different ratios of incineration to landfill (60 to 40, 70 to 30, and 80 to 20) were combined to form E1 (50 km and 60 to 40), E2 (55 km and 70 to 30), and E3 (60 km and 80 to 20). The weighted directed graph of the wooden furniture supply chain is shown in Fig. 5.
Fig. 5. Weighted directed graph of the wooden furniture supply chain
In order to reduce the traversal time, the Dijkstra algorithm was improved as follows: when selecting the next shortest path node, only the neighboring nodes, i.e., directly related to the upper-level node and located downstream of the source node in the direction of the supply chain, were considered, and then the value of the selected neighboring nodes was updated. Taking A1 as the starting point, the results of the improved Dijkstra algorithm solution are shown in Table 4. The improved Dijkstra algorithm node path can be described as follows:
Table 4. Results of the Improved Dijkstra Algorithm Solution