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Hybrid MCDA methods to integrate multiple ecosystem services in forest management planning : a critical… Uhde, Britta; Hahn, W. Andreas; Griess, Verena C.; Knoke, Thomas Aug 31, 2015

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Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 1  Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review Britta Uhde1, W. Andreas Hahn1, Verena C. Griess2, Thomas Knoke1  Britta Uhde uhde@forst.wzw.tum.de W. Andreas Hahn andreas.hahn@mytum.de Verena C. Griess verena.griess@ubc.ca Thomas Knoke knoke@forst.wzw.tum.de  1 Institute of Forest Management, Department of Ecology and Ecosystem Management, Center of Life and Food Sciences Weihenstephan, Technische Universitat Munich, Hans-Carl-von-Carlowitz-Platz 2, 85354 Freising, Germany 2 Department of Forest Resources Management, Faculty of Forestry, University of British Columbia, Forest Sciences Center, 2211-2424 Main Mall, Vancouver, BC V6T1Z4, Canada  Keywords Ecosystem services,  Trade-offs,  Forest management planning, Stakeholder participation, Uncertainty, Quantitative optimization, Multiple criteria     Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 2  Abstract Multi-criteria decision analysis (MCDA) is a decision aid frequently used in the field of forest management planning. It includes the evaluation of multiple criteria such as the production of timber and non-timber forest products and tangible as well as intangible values of ecosystem services (ES). Hence, it is beneficial compared to those methods that take a purely financial perspective. Accordingly, MCDA methods are increasingly popular in the wide field of sustainability assessment. Hybrid approaches allow aggregating MCDA and, potentially, other decision-making techniques to make use of their individual benefits and leading to a more holistic view of the actual consequences that come with certain decisions. This review is providing a comprehensive overview of hybrid approaches that are used in forest management planning. Today, the scientific world is facing increasing challenges regarding the evaluation of ES and the trade-offs between them, for example between provisioning and regulating services. As the preferences of multiple stakeholders are essential to improve the decision process in multi-purpose forestry, participatory and hybrid approaches turn out to be of particular importance. Accordingly, hybrid methods show great potential for becoming most relevant in future decision making. Based on the review presented here, the development of models for the use in planning processes should focus on participatory modeling and the consideration of uncertainty regarding available information. Introduction The process of decision making in forest management planning today must allow for the consideration of multiple, and often competing objectives. Decision outcomes must simultaneously balance ecological, social, and economic interests within a temporal and spatial matrix (Hahn and Knoke 2010). Thus, decision making on a supra-individual, societal level must consider a diversity of objectives, which might conflict with one another. Multi-criteria decision analysis (MCDA) is a tool that has been developed to help solve such complex problems (Mendoza et al. 1999). MCDA methods have often been used to define criteria and indicators for the promotion of sustainable development and resource utilization (Mendoza and Prabhu 2000; Wolfslehner et al. 2005), besides they can consider Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 3  the non-market values of ecosystem services (ES). ES include ‘‘provisioning services such as food, water, timber, fiber, and genetic resources; regulating services such as the regulation of climate, floods, disease, and water quality as well as waste treatment; cultural services such as recreation, esthetic enjoyment, and spiritual fulfillment; and supporting services such as soil formation, pollination, and nutrient cycling’’ (MEA 2005, p. 39). Using MCDA, explicit trade-offs between multiple ES can be evaluated and quantified to give a better understanding of trade-off relationships between different objectives (Sanon et al. 2012), provided that the alternatives considered have actually included the ‘‘best’’ options. Therefore, MCDA is an appropriate approach to use in sustainability assessment (Boggia and Cortina 2010; Wolfslehner et al. 2012). MCDA methods allow for the evaluation and prioritization of management alternatives, even when no consensus can be found. Indeed, consensus is often hard to achieve under heterogeneous objectives (Mendoza et al. 1999). MCDA methods are best applied in situations that require a strong integration of theory and practice (Belton and Stewart 2002). This integration can be realized with the use of hybrid methods that apply MCDA with, potentially, different other decision-making methods such as mathematical programming-based optimization. A combination of methods is beneficial because different areas of research can complement each other (Feizizadeh and Blaschke 2013). The application of analytical, spatial planning, or group decision-making (GDM) methods can evaluate and analyze ES in different ways, and therefore improve the calculation of trade-offs between them. To this end, the further development of hybrid methods has been recommended by various authors (Ananda and Herath 2009; Diaz-Balteiro and Romero 2008; Kangas and Kangas 2005; Mendoza and Martins 2006). Our review paper focuses on forest management problems that demand analytic evaluation as well as the consideration of multiple ES. The definition of ES is expansive, capturing provisioning, regulating, cultural, and supporting services (see above). In general, every hybrid method can consider ES, but certain techniques can be more appropriate for specific kinds of ES. Provisioning and cultural services, for example, are more tangible to manage and could, for example, be considered with the application of MCDA and optimization techniques. Regulating and supporting services, on the other hand, can be difficult to quantify in practice and need to receive careful attention. A stakeholder analysis that incorporates the preferences of multiple participants is therefore very valuable for the evaluation of ES, but Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 4  MCDA must then be combined with GDM. Also the use of MCDA and spatial analysis can consider regulating and supporting services with the designation of conservation and management areas. Also the ecosystem itself is an expansive domain. Willis (1997) summarized an ecosystem to be ‘‘a unit comprising a community (or communities) of organisms and their physical and chemical environment, at any scale, desirably specified, in which there are continuous fluxes of matter and energy in an interactive open system’’. This definition implies conceptually that many factors have an influence on these ecosystems and may alter them over time. Therefore, possible changes need to be determined to adjust planning methods. A current example is the climate change and its possible effect on forest ecosystems. There are already a great number of research articles and scientific reviews that cover the topic of MCDA in the field of forest management planning. However, recent developments on hybrid methods or the important aspects of trade-offs between various ES and how to address uncertainty are rare. The current review paper thus builds on an overview of hybrid methods which have been applied in forest management planning. The specific objectives are to identify limitations and to elaborate on recent developments of hybrid approaches for decision making in planning situations. We will then evaluate the capacity of these methods to account for uncertainty, while considering both ecological and economic issues, in order to promote sustainable resource utilization (Hahn and Knoke 2010). The integration of participation, uncertainty, and multiple ES into the planning process is also part of this study. In contrast to existing reviews (see Ananda and Herath 2009; Diaz-Balteiro and Romero 2008; Herva and Roca 2013; Kangas and Kangas 2005; Mendoza and Martins 2006; Triantaphyllou 2000; Velasquez and Hester 2013), the emphasis of our review paper is laid on the use of hybrid methods. How can hybrid methods consider participation, trade-offs between ES and integrate uncertainties? The outline is as follows: In ‘‘Hybrid methods for improving the decision making process in forest management planning’’ section, we review the application of hybrid methods referring to examples in the field of forest management planning. ‘‘Overview of classical multi-criteria decision approaches’’ section provides a brief overview of literature with examples on the use of MCDA, while ‘‘Challenges and limitation of multi-criteria decision analysis’’ section Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 5  covers the challenges and limitations of MCDA methods. A summary with suggestions of methodological improvements is provided in ‘‘Methodological improvements’’ section. Hybrid Methods for Improving the Decision Making Process in Forest Management Planning Decision problems and processes in natural resource management vary considerably. To best address different problems and stages in the decision process, the appropriate method has to be applied. Hybrid methods can be defined as the aggregation of MCDA and, potentially, other decision-making techniques. By this means, different features of methods can be integrated in the same decision process. One method, for example, could provide the framework for the problem structuring, whereas a second method could be integrated to work as a decision support tool (Kangas et al. 2001b). Hybrid methods are favorable in face of complex problems with various stakeholders, objectives, and long-term consequences, and aim at merging advantages of methods that operate in different ways (Diaz-Balteiro et al. 2009b; Kangas et al. 2008). Hybrid methods can be combinations of quantitative and qualitative methods (Myllyviita et al. 2011). Qualitative methods (interviews, voting, etc.) can support problem structuring, compile preliminary definitions of goals (Pykalainen et al. 2007) and improve the learning process, and the understanding of stakeholders (Hjortsø 2004; Khadka et al. 2013), whereas quantitative methods (e.g., MCDA and mathematical programming-based optimization) help evaluating decision alternatives using numerical information (Myllyviita et al. 2011). Up to now, just a few examples of the combination of qualitative and quantitative methods exist (Myllyviita et al. 2011; Pykalainen et al. 2007). Other possibilities of hybrid methods are combinations of quantitative methods among one another. MCDA, for example, can be used to develop a management plan that responds to the preferences of stakeholders that are involved in the decision process. Within a hybrid method, MCDA can integrate these subjective preferences into the optimization problem (Kangas and Kangas 2005) to obtain information for the decision-making process. The comparison of alternatives and the decision making is subsequently carried out by the optimization tool. Optimization methods have a long tradition in forest management planning. Different management scenarios can arise during the optimization process by gradual incorporation of new management options such as Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 6  set-asides, near-natural management, minimum rotation periods, and the energetic use of biomass. Hybrid methods can amalgamate optimization models with MCDA (Wolfslehner and Seidl 2010) to gain a more holistic view on the consequences of a decision. Because it maximizes and minimizes objectives, the mathematical programming based optimization technique is useful for the calculation of a management plan that contains the optimal harvest strategy. Benefits of hybrid methods are significant in situations of uncertainty with conflicting goals among different stakeholders (Belton and Stewart 2002). Figure 1 illustrates the application of a hybrid method. Applying different methods to the same process can improve the ease of use for the decision makers because it simplifies the evaluation of planning results. In the following sections, different applications of hybrid methods that are most often used for forest management decisions will be discussed, namely, (1) MCDA and quantitative optimization, (2) Hybrid methods for spatial decision problems, and (3) Hybrid approaches based on participatory or strategic planning. Particularly, we want to address the occurrence of hybrid methods that either combine MCDA with quantitative methods (‘‘MCDA and quantitative optimization”, ‘‘Hybrid methods for spatial decision problems’’ sections) or with qualitative methods (‘‘Hybrid approaches based on participatory or strategic planning’’ section). Within these subsections and for every type of combination, references are arranged by dates to show the developmental trajectory of hybrid methods. By nature, the review is not exhaustive but the choice of applications reflects the research up till now in the field of hybrid methods in forest management planning. An overview of publications considering hybrid methods in forest management is given in Table 1. Bibliographic databases such as the Web of Knowledge were used for the literature review of MCDA and hybrid approaches presented here. The literature search was, inter alia, based on following keywords: MCDA, forest management, forest planning, optimization, stakeholder participation, uncertainty, ES, and trade-offs. While classic textbooks were also used, the literature search was mainly focused on peer-reviewed articles published in international journals covering the topics of MCDA and hybrid methods in forest management.    Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 7    MCDA and Quantitative Optimization A forest may consist of a multitude of forest stands which are treated in different ways at different points in time (Wolfslehner and Seidl 2010). The process of forest planning is complex, as it occurs at different spatial and temporal scales, affecting several stakeholders. The first application of a hybrid method in forest management has been a combination of heuristic optimization and MCDA. Pukkala and Kangas (1993) as well as Kangas (1996) integrated the AHP into the HERO heuristic method. In this approach, treatment schedules were simulated for one planning period. The authors used the heuristic optimization method HERO to compile the optimal treatment schedules. HERO was used for the estimation and maximization of the utility function. The formulation of the optimization problem was carried out by the help of the analytical hierarchy process (AHP); in particular, the partial utility function and the weights of the objectives were estimated.  Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 8   The authors applied this approach of heuristic optimization and AHP to the forest management in Pitkajarvi state forest in Finland considering the participation of several interest groups. The overall utility that was estimated using the AHP was then maximized Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 9  through HERO optimization. In this way, optimal solutions of approximately 1000 treatment schedules could be defined (Kangas 1996). In a further study, Kangas et al. (2000) combined HERO with the AHP, geographic information system (GIS), and Bayesian analysis to integrate expert knowledge and uncertainty into the decision process and generate forest alternatives. GIS was used to analyze the requirements for different compartments to help establishing adjusted management plans. The technique of preference analysis in combination with heuristic optimization has the strength to enlighten a complex decision process to the decision makers and to the participants. The weakness of this case study is the missing accuracy of forest dynamics and long-term planning. Discrete MCDA methods can also be combined with other quantitative optimization tools. Several studies applied MCDA methods within forest management models to integrate ES and preferences into the decision process. Huth et al. (2004) used multi-criteria evaluation to generate logging scenarios in the rain forests of Malaysia in order to analyze trade-offs between the yield and the ecological state of the forest. The authors combined a rain forest growth model with MCDA for the first time. They evaluated the scenarios with the help of the multi-attribute value theory (MAVT) which aggregated 18 (non-monetary) indicators in 4 criteria (yield, canopy opening, and coarse/fine species composition). The influence of changes within the scenarios (logging intensities etc.) on all four criteria was analyzed as a second step. This combination of methods can compare the long-term impact of management strategies considering economic and ecological benefits. In a different study, Huth et al. (2005) used an extension of the preference ranking organization method for enrichment evaluations (PROMETHEE) to evaluate simulated logging scenarios. The improvement of this study to the former one is the consideration of uncertainties in the indicator values. The authors conclude that the combination of growth and yield studies with MCDA can improve the decision quality because they reduce misjudgments and subjective errors. Nordstrom et al. (2013) combined scenario analysis and MCDA to evaluate continuous cover forestry which has developed as an alternative to even-aged forestry. The aggregation of subjective and objective modeling has been regarded as a great advantage. In the future, the combination of MCDA with optimization tools like forest growth models needs to be improved by considering participatory processes within the model. This can be relevant to increase the sustainability of forest management. Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 10  Further applications of MCDA are found within decision support systems (DSS) which accentuate the preferences of the decision makers and enhance the quality of the whole process. Overviews of the variety of DSS which are available have been provided by several authors (Bjørndal et al. 2012; Hartl et al. 2013; Weintraub and Romero 2006). The decision process can be improved through the use of MCDA. However, Korosuo et al. (2011) reveal that only a few DSS are connected with MCDA methods. Lexer et al. (2005) developed the DSS decision support Dobrova (DSD v1.1s) for forest owners in Southern Austria. They designed a generic model that resembles the consultation procedure by providing all relevant information about forest management alternatives and allowing for the simulation of treatment programs. In this model, the decision maker has the opportunity to insert specific information about species, sites, or timber prices into the program. Korosuo et al. (2011) used the forest planning tool PlanWise that includes the MCDA module PlanEval. By this means, forest plans can be compared and evaluated by the decision maker in a structured and analytical way. With the use of this computer-based support, the consideration of several details and expert knowledge can improve the decision. However, the user needs to have prior knowledge of the program. Individual land owners can already make use of this software with the assistance of experts, but further improvements are needed to make these tools more user-friendly. A technique combining MCDA with forest ecosystem models (FEM) was also described by Wolfslehner and Seidl (2010). FEMs are based on quantitative mathematical scaling which is used to simulate ecological processes. A combination of FEM and MCDA can capture both ecological and social criteria and the trade-offs among them that are important for decision analysis. Indicators are used as decision criteria for operational management on the enterprise level (Wolfslehner and Seidl 2010). To obtain preference information of different stakeholders and thus generate forest plans that integrate these preferences, it is also possible to combine discrete and continuous MCDA methods. Diaz-Balteiro et al. (2009a) used pairwise comparison matrices based on the AHP to include the preferences of several stakeholders within the goal programming (GP) approach which optimizes the forest management in two different forests in Spain. The main strength of this method is that forest management problems have been analyzed with the consideration of multiple criteria and multiple stakeholders. This approach could be improved Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 11  with the connection to a spatial analysis technique to facilitate data visualization and spatial allocation. To summarize, only a few studies applied hybrid methods using MCDA within a quantitative programming-based optimization approach. The combination of quantitative optimization and MCDA has several advantages such as the consideration of economic and ecological benefits and the possibility to evaluate decisions in a structured and analytical way. Although it is rarely done, the application can both integrate stakeholder preferences and uncertainties into the decision process. To improve this aspect, MCDA can be combined with optimization methods with single objective but constrained scenario outcomes. In this way, uncertainties could be integrated with the Monte Carlo Simulation (MCS) into quantitative optimization to achieve transparent scenarios (see Hartl et al. 2013) and stakeholder preferences can be considered subsequently by means of MCDA. Hybrid Methods for Spatial Decision Problems Many spatial decision problems such as harvest strategies or nature conservation plans require a combination of MCDA and GIS (Malczewski 2006). Incorporating MCDA into GIS-based techniques improves the structure of the decision process by facilitating immediate data visualization and extensive spatial analysis. The major benefit of this combination in comparison to conventional MCDA methods is the geographic component, which facilitates spatial allocation (Ozturk and Batuk 2011). Particularly for forest management planning, which requires the simultaneous consideration of several ES and different silvicultural treatments for many forest stands, the combination of MCDA and geographical data can be very useful. Detailed review articles of GIS-based MCDA methods were published by Greene et al. (2011) and Malczewski (2006). There have been several studies in the field of forest management that combine MCDA and spatial planning. Sheppard and Meitner (2005) applied MCDA and visualization for sustainable forest management with different stakeholder groups. Spatio-temporal forecast modeling was used to evaluate ecological and operational conditions. Sharma et al. (2012) combined forest fire risk modeling with AHP to include actual fire occurrences into the decision process. The identification and mapping of different management zones with GIS was used to develop a management plan for nature reserves in China. A MCDA approach in this spatial context Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 12  supported the zoning of different areas (Zhang et al. 2013). Destan et al. (2013) predicted forest stand volumes with the application of MCDA and GIS to develop objective forest stand maps. A GIS-based MCDA has also been used by Uribe et al. (2014) to identify forest landscape restoration priorities. As several authors have mentioned in their papers, GIS based MCDA methods need to be more accessible to the general public (Greene et al. 2011; Malczewski 2006). As a tool which is most often used for spatial planning, GIS is quite expensive and complicated for the casual user. Accordingly, many web-based GIS tools are being developed (Boroushaki and Malczewski 2010), such as the web-enabled ordered weighted averaging tool (OWA) (Rinner and Malczewski 2002) and the program participatory GIS (Boroushaki and Malczewski 2010). Furthermore, spatial inaccuracies can arise in addition to general uncertainties that occur in forest management planning and MCDA such as inventory errors, timber price fluctuations, natural hazards, and subjective judgments. The integration of sensitivity and uncertainty analyses is therefore very important for the further development of methods. MCDA-GIS applications will be interesting for future development. It is particularly useful to connect stakeholder preferences, multiple criteria, and the spatial allocation of ES and silvicultural treatments. Hybrid Approaches Based on Participatory or Strategic Planning Most MCDA methods are able to consider preferences of multiple stakeholders in the decision-making process. Mendoza and Martins (2006) give a broad overview of the way preferences have been taken into account in different MCDA applications. There are large differences between the moment of the stakeholder’s intervention (a priori, interactively and posterior) and the number of stakeholders that are involved in the process. The examples illustrate that many MCDA applications involve only one decision maker. This can be changed with a combination of MCDA with strategic or participatory planning to better fulfill the differing needs and objectives right from the beginning. MCDA and Participatory Planning Pykalainen et al. (2007) combined voting methods (Borda count, cumulative voting) with a multi-criteria approval (MA) to classify decisions into one category and evaluate the Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 13  alternatives. The interactive utility analysis (IUA) was applied to facilitate the process of natural resource planning. It includes the formulation of weights and sub-utility functions as well as the calculations of total utilities for the different alternatives. Voting and MA information collect ordinal preference information from several stakeholders, whereas IUA determines further details by using the interval scale and calculating the total utilities. The authors concluded that a complementary use of different methods is needed to support stakeholders and to facilitate the decision process. A weakness of this combination of voting methods with MA is the absent of uncertainty analysis, particularly concerning uncertain preferences of the decision makers. Approaches combining GDM with MCDA are relatively new in the field of forest planning (Diaz-Balteiro and Romero 2008). It gained importance in the 1990s after the UN Conference on Environment and Development in Rio (UNCED 1992). GDM can solve multi-stakeholder problems by including opinions, experiences, and knowledge into a decision process. The main challenge is resolving conflicts of different objectives and preferences (Groselj and Zadnik Stirn 2013). In a traditional MCDA method, one decision maker could be included. MCDA applications can be used within these qualitative GDM methods to connect the preferences of several stakeholders with the evaluation of multiple criteria and alternatives. Nordstrom et al. (2010) conducted a case study of a participatory planning process in Northern Sweden. In the first step, a stakeholder analysis was carried out to identify the relevant stakeholders and quantify the extent of their participation in the decision process. The next measure was structuring of the decision problem, followed by generation of a discrete number of alternatives. Preferences were elicited from every stakeholder for each criterion using the pairwise comparison procedure of the AHP, so that preferences could be combined. In the final step, alternatives were ranked. Extensive stakeholder analyses might sometimes be difficult to conduct, and therefore, become a weakness of the approach. The participation process of multiple stakeholders needs to be simplified in the further development of decision methods. However, combining MCDA with participatory planning can be useful to comprehensively analyze stakeholder preferences and connect them to the evaluation of multiple criteria. Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 14  MCDA and Strategic Planning As Kloeze et al. (1980, p. 10) reveal, ‘‘strategic planning is often considered as a rather systematic process of actions in the determination of long-range objectives’’. The SWOT method is a tool that analyzes internal and external environments for the strategic planning process. It can be used as a basis for strategy formulation (Kurttila et al. 2000). The utilization of SWOT is based on a qualitative examination of factors, which often makes it superficial (Kangas et al. 2001d). In A’WOT, SWOT analysis is combined with the AHP to make the whole process more analytical. In this way, factors of the SWOT framework are more easily compared. The AHP adds quantitative information to the analysis and also incorporates the preferences of the decision makers (Kangas et al. 2001d). The first applications of A’WOT in forest management have been conducted by Kurtilla et al. (2000) and Kangas et al. (2001d). Also Groselj and Zadnik Stirn (2013) performed a SWOT analysis with several stakeholders to combine the results with the AHP developing the optimal management strategy for a forest. In this way, all alternatives can be compared according to all SWOT factors. Various other operations such as scenario planning and statistical analyses can be based on the SWOT approach in order to improve the decision process (Leskinen et al. 2006). Synergies between scenario planning and MCDA can lead to considerable advantages. Well-structured scenarios could, for example, reduce uncertainties and risks (Stewart et al. 2013). By this means, SWOT analysis can be used more efficiently. Overall, the combination of MCDA with strategic planning is useful to comprise several aspects of a decision problem. Overview of Classical Multi-criteria Decision Approaches Decision making can be seen as a multilayered process that begins with structuring a problem and ends with the selection of the best alternative (Kangas 1992a). Every decision we make requires the consideration of multiple factors and criteria. In a MCDA, a finite number of predefined or an infinite set of alternatives are generally evaluated based on a set of several criteria (Perman 2011) that often comprise ES. These ES need to be included for the promotion of sustainable development, particularly if a perspective beyond the enterprise level is taken, for example in landscape or national level planning. Some studies suggested the inclusion of ES or environmental damage via economic valuation methods for non-market Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 15  goods and services (Carson 2012; Costanza et al. 1997). However, economic valuation of ES often does not reveal convincing results and have been criticized due to their insufficient validity and reliability (Hausman 2012). For this reason, MCDA is widely used as an alternative decision aid in natural resource management, because different criteria arising from economic, environmental, and social sources can be included in a MCDA (Diaz-Balteiro and Romero 2008). In contrast, economic valuation methods typically indicate their results in monetary units. According to Pagiola et al. (2004), this is a matter of convenience—to facilitate the comparison of ES that have non-market values. MCDA helps to structure the decision problem and to create a transparent process which in the end leads to a justifiable and explainable decision (Belton and Stewart 2002). In view of the many advantages mentioned above, the further use and development of MCDA methods will be important in the future. Especially aggregating MCDA methods and other decision-making techniques can be an important field of research to improve decision making. For this reason, we want to give a short overview of existing classical methods with relevant examples in forest management planning. References of studies are arranged firstly according to the type of application and secondly according to the name of the first author. MCDA methods can be subdivided into two major categories—discrete and continuous. While discrete methods classify a finite number of alternatives based on rankings or weightings, continuous methods define an infinite number of alternatives through the use of mathematical functions (Kangas et al. 2008; Vassilev et al. 2005). Discrete Methods Discrete methods of MCDA are based on the concept of modeling preferences. Here a finite number of alternatives are considered. Discrete methods include outranking approaches, utility-based methods as well as the AHP. Outranking Methods Outranking methods, such as the PROMETHEE, the elimination and choice translating reality (ELECTRE), and the technique for order of preference by similarity to ideal solution (TOPSIS) apply pairwise comparisons of alternatives. They have the ability to comprise ordinal and descriptive information (Kangas et al. 2001a). By using outranking methods, the decision maker can estimate the order of his/her preferences among the alternatives available, Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 16  based on only a few assumptions (Kangas and Kangas 2005). Therefore, these methods do not require complete preference data, as is the case with other approaches, such as the AHP. Their weakness, however, is that the results they provide are often difficult to understand and interpret (Kangas et al. 2001a). With the application of PROMETHEE, the decision maker considers deviations between two alternatives according to his/her preferences for the individual criteria (Brans et al. 1986). The original PROMETHEE method has been altered several times (to PROMETHEE II–III) where interval rankings were included, and to PROMETHEE IV–VI with other modifications (Brans and Mareschal 2005). A detailed review of PROMETHEE methodologies and applications was published by Behzadian et al. (2010). Different authors such as Fontana et al. (2013), Jactel et al. (2012), and Palma et al. (2007) applied PROMETHEE in recent research studies to rank forest management alternatives. The PROMETHEE method is user-friendly and therefore frequently applied in natural resource management but it also has its limitations. It can only be applied if the decision maker can define a preference for each criterion and express the importance for his decision (de Keyser and Peeters 1996). The French ELECTRE method uses pairwise concordance and discordance tables to conduct a separate comparison of criteria for each alternative (Roy 1968). This method sometimes produces a set of leading alternatives rather than one preferred alternative. Therefore, ELECTRE is preferably used for decision problems with a large number of alternatives (Lootsma 1990). As with PROMETHEE, there have been several extensions of the ELECTRE approach. It has been frequently used as a decision support tool in forest management (Kangas et al. 2001c; Pauwels et al. 2007). An alternative to the ELECTRE method is TOPSIS. This model evaluates the geometric distance and relative closeness of alternatives to the ideal and negative-ideal solutions with the use of Euclidean Distance. Here the best alternative is that which is closest to the ideal and furthest from the negative-ideal alternative (Triantaphyllou 2000). TOPSIS is easy to use and therefore popular in many fields of research. One drawback is that the Euclidean Distance does not include the correlation of attributes (Velasquez and Hester 2013). Utility-Based Methods Other discrete methods include applications which are based on value and utility such as the multi-attribute utility theory (MAUT), the MAVT as well as the simple multiattribute rating Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 17  technique (SMART). These methods transform several criteria into units to feed into a dimensionless function that is used to maximize utility or value (Linkov and Bakr Ramadan 2004). Utility and value functions are based on comparisons between the alternatives. Utility and value are therefore scaled between 0 and 1, and the sum for each alternative is calculated (Kangas et al. 2008). MAUT is certainly the most influential method among those mentioned in this section. It is based on the conventional utility theory and considers the importance of multiple attributes and their trade-offs. Keeney and Raiffa (1976) provide a comprehensive review of the history and background of MAUT. MAUT was applied in a number of studies to evaluate forest management strategies (Ananda and Herath 2005; Bell 1975). The heuristic optimization method HERO can also be used to estimate and maximize the utility function. The application deals with multiple objectives and stakeholder preferences, and combines the efficiency of numerical optimization (Kangas et al. 2001e). As a closely related theory to MAUT, MAVT is based on the identification of a value function. MAUT has an advantage over MAVT in that it includes both uncertainties and the risk preferences of the decision maker (Kangas et al. 2008). Due to the high amount of required data, the method of MAUT is not suitable for every kind of decision problem but for problems that contain uncertainty and provide enough of the required data (Velasquez and Hester 2013). SMART, which is based on MAUT, uses additive models that are generally applied to the decision hierarchy. Criteria are directly rated with numerical values, according to the decision maker’s preferences (von Winterfeldt and Edwards 1986). MAUT requires more effort than SMART because the utility probabilities have to be scaled for each criterion and alternative (Brugha 2004). Analytical Hierarchy Process (AHP) Similarly to MAUT, the AHP integrates various aspects of the decision problem into one single objective function. The management alternative with the greatest value of the objective function can be selected (Linkov et al. 2004). The AHP uses pairwise comparisons and expert judgments to capture qualitative and intangible criteria and derive priorities. Judgments are quantified on a scale from 1 to 9, and criteria and alternatives are placed in a hierarchical structure to be comprehensively analyzed (Saaty 1990). Many researchers in the forestry sector use the AHP because of its interesting mathematical characteristics and the ease of its application (Kangas 1992b; Leskinen 2007). Also the ability of the AHP to incorporate Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 18  subjective preferences and to help group decisions is seen as beneficial (Schmoldt and Mendoza 2001). Khadka and Vacik (2012), for example, used the AHP evaluating different management strategies in a community forest. One disadvantage is that the AHP is not able to carry out in-depth analyses (Kangas et al. 2008). In contrast to the AHP, its extension, the analytical network process (ANP) allows interdependencies and feedbacks among the decision elements to create a decision network (Gorener 2012). Ghajar and Najafi (2012) evaluated harvesting operations with the help of the ANP. The network structure provides a robust framework to integrate all variables in the decision model. Continuous Methods Methods are considered to be continuous when they find the preferred option among an infinite set of alternatives (Malczewski 1999). For the application of GP, which is a modification of the optimization technique linear programming (LP), a desirable target value for every single objective has to be defined (Field 1973). Complex decisions can be made objectively by minimizing the sum of unwanted deviations from the pre-defined targets (Tamiz et al. 1998). Furthermore, the a priori definition of targets for single objectives creates options for stakeholder participation. Various formulations of the achievement functions are possible. Normalized unwanted deviations may be weighted or a lexicographical approach may be used, where multiple objectives are prioritized and a sequence of linear programs is solved from high to low priorities. Also Chebyshev GP is available to solve multi-stakeholder problems. This approach minimizes the maximum unwanted deviation, rather than the sum of all deviations (Flavell 1976). The main disadvantage of GP is that choosing targets and weights can be difficult for the decision maker because they could be inappropriate. In this way, reasonable goals and desirable solutions could be missed (Rivas-Da´valos et al. 2007). GP has been often applied to develop forest management plans. Diaz-Balteiro et al. (2009a) as well as Limaei et al. (2014) used GP to optimize the management of forest plantations. Diaz-Balteiro and Romero (2003) used a GP approach to identify harvest schedules with high levels of carbon storage and Gomez et al. (2006) applied GP determining the optimal harvest volume of a forest stand. While GP refers to multiple objective problems with target values, multi-objective programming (MOP) refers only to the class of multiple objective problems (McCarl and Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 19  Spreen 1997). In forest planning, this technique can be used to generate a number of management plans when one objective cannot be improved without affecting other objectives (Nordstrom et al. 2013). Compromise programming (CP) is also known to solve forest management problems with multiple objectives (see Aldea et al. 2012; Diaz-Balteiro et al. 2014; Krcmar et al. 2005). CP minimizes the distance between the ideal and the achieved levels of objectives (Zeleny 1973). The difference between these methods lies in the definition of the distance functions (Krcmar et al. 2005). Often, alternatives to GP may be reformulated as GP problems. For example, it has been recommended that CP problems should be reformulated as GP problems to increase clarity and precision (Romero et al. 1998). The data envelopment analysis (DEA), which is based on mathematical programming, can also be considered as a continuous MCDA method as it allows for simultaneous analysis of multiple inputs and outputs (Halog and Manik 2011). DEA has been applied in recent research studies to estimate the efficiency of forest management (e.g., Kao 2009; Limaei 2013; Shen et al. 2013). In summary, different examples illustrate that continuous MCDA methods are widely used in the field of forest planning. As mentioned in ‘‘MCDA and quantitative optimization’’ section, the connection to qualitative methods could be useful to improve the practice of choosing targets and weights within the application. Challenges and Limitation of Multi-criteria Decision Analysis MCDA methods are increasingly used in modern forestry to support communicative and participatory approaches (Wolfslehner and Seidl 2010). Polatidis et al. (2006) specified a set of requirements for MCDA approaches used to aid decision making in environmental issues. They include, ease of comprehension, the ability to support many decision makers simultaneously, the inclusion of multiple criteria and alternatives, the consideration of uncertain information, and a low level of demand for time and money inputs. It is almost impossible to comply with all of these demands, although certain MCDA methods do get close to fulfilling at least some of these aspects. However, many MCDA techniques are rather complicated for the individual landowner, and therefore it is challenging to apply them at the regional level (Kangas et al. 2001e; Mendoza and Martins 2006), where ES should be Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 20  addressed. In the following sections, we want to discuss the possibilities how to improve stakeholder participation, the consideration of uncertainty and the evaluation of trade-offs between ES. Hybrid methods respond better to these criteria by considering different features in one application. Stakeholder Participation In order to introduce expert knowledge and transparency into the decision process, stakeholder participation is seen as a fundamental cornerstone of all fields of sustainability assessment (Hahn and Knoke 2010). The formation of stakeholder opinions, experiences, and knowledge can be based on participatory planning (Groselj and Zadnik Stirn 2013). A participatory approach can enhance communication between stakeholders with different objectives, and therefore increase understanding (Doole and Pannell 2013; Lynam et al. 2007). In this way, modeling can be more effective, because decision makers are able to participate in the process and to recognize interdependencies and trade-offs between different criteria (Garcıa-Barrios et al. 2008). Furthermore, the resulting increase in the ability of stakeholders to identify with the solution improves the potential for successful implementation of planned measures. As mentioned in ‘‘Hybrid approaches based on participatory or strategic planning’’ section, MCDA can be used within GDM methods to connect preferences of several decision makers. In this manner, stakeholder participation has been modeled in many studies. Sandker et al. (2010) examined several interdisciplinary case studies of participatory modeling. The authors concluded that participation among different stakeholders is not a simple process but that these models ‘‘can be powerful tools to help stakeholders better understand the dynamics of landscapes and improve their decision making and investments in natural resource management’’ (Sandker et al. 2010, p. 12). Therefore, participatory modeling is certainly helpful for interdisciplinary decision making. The agent-based modeling (ABM) also allows for interactions between decision makers. ABM is a computerized simulation that explores quantitatively how the economy might react under different scenarios (Farmer and Foley 2009). Another option for considering participation in a decision process is voting—a transparent process that the general public is familiar with. Vainikainen et al. (2008) examined several Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 21  voting rules in forest planning situations. They concluded that the impact of different voters varies and that a fair process is required for the voting procedure to be effective. By all means, consultation with stakeholders throughout the modeling process can improve simulation models, and therefore influence decision making (Doole and Pannell 2013). As Sheppard and Meitner (2005) emphasize, the gap between participatory processes and complex decision support systems needs to be closed. There is a need for further studies integrating MCDA methods in participatory planning processes to improve the generation of alternatives and, in the end, to find the preferred management option. Consideration of Uncertainty Uncertainty in forest management planning can arise from different sources. According to Kangas et al. (2006, p. 114), following areas of uncertainty need to be taken into account: ‘‘(1) the errors in the basic forestry data (inventory and measurement errors), (2) the uncertainty of the future prices of timber, and (3) the uncertainty in predicting the forest development’’. Hardly predictable events such as storms, heavy snow, fire, and insect attacks range under uncertainties related to forest planning. Also subjective judgments and uncertain preferences of the decision makers can cause uncertainties (Zarghami and Szidarovszky 2011), especially when multiple stakeholders are involved in the decision process. Sensitivity analysis methods which are applicable in some MCDA techniques (e.g., AHP) can incorporate uncertainty in the criteria weights. However, there are limitations as only one input parameter can be varied at a time. With the use of distance-based uncertainty analysis, minimum modifications of the parameters (criteria weights and performance values) can be determined (Hyde 2006). In the MCDA method MAUT, probability distributions can represent the uncertainty. In this way, expected utilities are obtained for each alternative (Ananda and Herath 2005). A widely applied approach in MCDA is the fuzzy set theory which involves the use of imprecise and uncertain data. A fuzzy set can be described as a class with ‘‘unsharp’’ boundaries. In this case, the transition from one characteristic to the other is gradual rather than abrupt (Gupta et al. 2000). The fuzzy set is based on a membership function (ranging between zero and one) which indicates the degree of truth by which certain data are accurate (Zadeh 1965). In an ecosystem context, most characteristics can be described as fuzzy, due to Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 22  their complexity and many uncertainties in nature. These include, inter alia, the lack of information about interactions and changes within ecosystems. Linguistic scales, such as ‘‘low,’’ ‘‘medium,’’ and ‘‘high’’ are used to describe different criteria. These descriptive parameters can be transformed into fuzzy numbers which represent the membership function (Kangas et al. 2008). A triangular fuzzy number, for example, is a special class defined by three real numbers (Vahidnia et al. 2008). Conflicting objectives are evaluated based on their cumulative impacts. Those impacts are quantified by the product of the membership function and the relative importance (weight) of each of the attributes (Zadnik Stirn 2006). Different MCDA methods can be fuzzified in order to integrate vague information into the decision process. The AHP is a method commonly used for fuzzification, because linguistic labels can be easily adopted into the procedure of pairwise comparisons (Durbach and Stewart 2012). In contrast, a fuzzy membership to a class can also be defined by grade or degree in a numerical way (Ducey and Larson 1999). As an example, Boyland et al. (2006) defined a fuzzy set for serial stages, where the degree of being member of a class or not is defined transitional in opposite to crisp and abrupt class boundaries. Thus, fuzzification can also be combined with optimization techniques such as LP (e.g., Boyland et al. 2006; Mendoza et al. 1993) and GP (Cheng 2013). The MCS is also beneficial to consider risks such as timber price volatilities and natural hazards in the evaluation of forest management alternatives. It can be used to compute annuities by means of up to 50,000 repetitions based on random sampling from MCS (see Roessiger et al. 2011). In comparison to the amount of research that has been done in the field of MCDA, relatively little effort has been directed to uncertainty in decision problems up to now (Durbach and Stewart 2012). One certain reason for this is the high complexity of decision-making methods considering uncertainty (Kangas and Kangas 2004). Even though many studies do not incorporate uncertainty (Ananda and Herath 2009), there are a few good examples of recent studies in the field of forest planning. Kaya and Kahraman (2011) used the fuzzy AHP approach in urban forestation in Istanbul. Triantakonstantis et al. (2013) applied fuzzy set theory to indicate the influence of variables such as slope, distance to roads, and urban areas on forest land-use change. These studies indicate a future trend of increasing consideration of uncertainty in the decision-making process. Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 23  Evaluating Trade-Offs Between Ecosystem Services In the case of MCDA, the ability to compare highly dissimilar data is both an advantage and a weakness. While this comparison allows for a decision which potentially considers various heterogeneous objectives, it is the foundation for the difficulty in comparing dissimilar criteria at the same time. Due to this fact, the identification and analysis of trade-offs between environmental and economic criteria are particularly difficult (Polatidis et al. 2006). By changing a management practice, the landowner simultaneously affects the availability of multiple ES (Schwenk et al. 2012). ES can increase or decrease, and thereby affect other services, as they are usually linked (Robert 2013). To analyze trade-offs and to make decisions more effective, levels and values of ES need to be quantified. In order to focus on forest management, different measures in the forest can change the provision of goods and services. Duncker et al. (2012) describe how forest management can affect trade-offs between ES (e.g., between biodiversity and production). A particular forest owner may implement management practices to produce a well-balanced combination of provisioning and regulating services. Generally, some ES may come at the cost of others. Trade-offs between different criteria could, for example, be represented through pay-off matrices that obtain the value for each criterion. A pay-off matrix can report the possibility of conflict between different criteria and objectives with the aim to compute optimal solutions (Andre´ et al. 2010). To facilitate the evaluation of ES and their trade-offs, MCDA methods can be applied. Seidl and Lexer (2013) employed a hybrid method with an assessment framework on the basis of MCDA, ecosystem modeling and stakeholder participation to reveal trade-offs between climate change impacts and adaptive capacity. Thus, uncertainties of future environmental conditions and societal demands on forests can be considered in forest planning. Fontana et al. (2013) compared different land-use types regarding their provision of ES with a comprehensive criteria assessment. Furthermore, participatory MCDA has been applied to address conflicting situations in forest planning involving different interest groups (e.g., Mustajoki et al. 2011; Nordstrom et al. 2010). As Nelson et al. (2009) show, a landscape scale is necessary to reflect economic trade-offs between different scenarios to deliver ES. For example, reconciling food production and Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 24  climate protection (e.g., through the preservation of natural forests) can only be addressed at a larger spatial scale (Wise et al. 2009). In landscape scale studies, forests are not analyzed as isolated options in landuse, but have to be seen as crucial parts of the landscapes (Paul and Knoke 2015). For this perspective, either various landscape scenarios may be pre-defined (e.g., Goldstein et al. 2012) or could be derived by mathematical programming techniques, for example, while including several strategies for forest preservation (Knoke et al. 2013). However, as an important second step, stakeholder preferences should be assessed and integrated to constitute a new variant of a hybrid approach in MCDA. In conclusion, identifying trade-offs is important to understanding and balancing the advantages and disadvantages of different management scenarios (Raudsepp-Hearne et al. 2010). This is particularly useful for forest owners who wish to achieve multiple objectives with their management decisions (Butler et al. 2007). Methodological Improvements We have identified several challenges and limitations to the use of MCDA methods in forest management planning. In comparison to the sole use of MCDA, hybrid methods can be highly recommended for decision-making processes. To face future challenges, the improvement of hybrid methods is needed for the promotion of solutions which are efficient in the resource input, robust against uncertainty concerning their outcomes, and transparent for all stakeholders (Hahn and Knoke 2013). Up to now, a limited set of case studies apply hybrid methods in forest management planning. Besides, as shown in Table 1, there are only a few studies that consider stakeholder participation and uncertain data in one method. Since hybrid methods can integrate many different aspects in one application, GIS mapping, optimization calculations, uncertainties, and stakeholder knowledge can be used as additional sources of information (Kangas et al. 2000). It is possible to simplify the evaluation of planning results with the application of different methods to the same process. However, increasingly complex methods can also turn out to be more expensive, more time consuming, and more difficult to understand for a large number of participants. As Mendoza and Martins (2006, p. 19) stated, MCDA should be made ‘‘more transparent, simple, and easily accessible’’. This is still a relevant requirement for future research, as it supports the development of participatory modeling, where all decision makers participate actively in the Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 25  process. Furthermore, future decision processes will be characterized by stronger public awareness, more diverse demands of ES, and a quite severe uncertainty concerning future production, conditions, and demands. Thus, future development should focus on the simplification of MCDA and hybrid applications that integrate uncertain information and participatory planning. To reinforce comprehensibility, interpretation, and transparency of decision support studies, we see much potential in hybrid methods combining scenario simulation with subsequent MCDA. Based on stakeholder integration by means of MCDA, the former scenarios may be revised. To ensure economic efficiency and transparency, we recommend scenario derivation by means of programming techniques, which are able to integrate uncertainties via MCS (see Hartl et al. 2013). MCDA methods could thus use optimized scenario outcomes as input for stakeholder participation. Their result can be played back to optimization models, promoting an iterative definition of objectives, assessment of their consequences and their subsequent weighting, and an optimized implementation. In this way, acceptable compromises between the landowner and the broad public can be identified relying on a set of efficient scenarios. So far, the majorities of optimization tools focus on market economic values and do not incorporate MCDA methods. Evaluating ES with no market value and their trade-offs are of special concern for the development of new methods. When a landowner integrates ES in the decision analysis, interdependences are often not considered. Trade-offs commonly occur and need to be analyzed for different management scenarios. For the evaluation of trade-offs, objective factors as well as subjective values need to be taken into account because they both have an influence on the development of various management scenarios (Nordstrom et al. 2013). In the end, many different decision-making methods can be chosen for the evaluation of management alternatives. The choice of the appropriate method clearly depends on the decision maker’s own views and objectives. However, the balance of ecological, social, and economic interests is significant to meet future requirements; and to comply with this objective, the further development of hybrid methods can be very valuable for decision making in forest management planning. Uhde, Hahn, Griess, Knoke 2015: Hybrid MCDA Methods to Integrate Multiple Ecosystem Services in Forest Management Planning: A Critical Review 26  Acknowledgments The study is part of the two projects ‘‘Tree species diversity in Chilean forests – are naturalness and economics compatible?’’ funded by the Bauer Foundation within the ‘‘Stifterverband fur die Deutsche Wissenschaft’’ and ‘‘ARANGE – Advanced multifunctional forest management in European mountain ranges’’ (FP7-KBBE-2011-5) funded by the European Commission, FP7. The authors wish to thank Laura Carlson and John Guess for the language editing of the manuscript. References Aldea J, Martınez-Pena F, Diaz-Balteiro L (2012) Integration of fungal production in forest management using a multi-criteria method. Eur J Forest Res 131:1991–2003. doi:10.1007/s10342012-0649-y Ananda J, Herath G (2005) Evaluating public risk preferences in forest land-use choices using multi-attribute utility theory. 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