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Using fuzzy logic to generate conditional probabilities in Bayesian belief networks: a case study of ecological assessment

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Abstract

The survival of rare animals is an important concern in an environmental impact assessment. However, it is very difficult to quantitatively predict the possible effect that a development project has on rare animals, and there is a heavy reliance on expert knowledge and judgment. In order to improve the credibility of expert judgment, this study uses Bayesian belief networks (BBN) to visually represent expert knowledge and to clearly explain the inference process. For the case study, the primary difficulty is in determining a large amount of conditional probabilities in the BBN, because there is a lack of sufficient data concerning rare animals. Therefore, a new method that uses fuzzy logic to systematically generate these probabilities is proposed. The combination of the BBN and the fuzzy logic system is used to assess the possible future population status of the Pheasant-tailed jacana and the associated probabilities, which have been affected by the construction of the Taiwan High-Speed Rail. The analysis shows that a restoration program would successfully preserve the species, because in the restoration area, the BBN model predicts that there is a 75.49 % probability that the species will flourish in the future.

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References

  • Aguilera PA, Fernández A, Fernándeza R, Rumíb R, Salmerónb A (2011) Bayesian networks in environmental modelling. Environ Model Softw 26(12):1376–1388

    Article  Google Scholar 

  • Baker S, Mendes E (2010) Evaluating the weighted sum algorithm for estimating conditional probabilities in Bayesian networks. In: Proceedings of the Software Engineering and Knowledge Engineering Conference (SEKE 2010): 319–324

  • Bangian AH, Ataei M, Sayadi A, Gholinejad A (2012) Optimizing post-mining land use for pit area in open-pit mining using fuzzy decision making method. Int J Environ Sci Technol 9(4):613–628

    Article  Google Scholar 

  • Bashari H, Smith C, Bosch OJH (2008) Developing decision support tools for rangeland management by combining state and transition models and Bayesian belief networks. Agric Syst 99(1):23–34

    Article  Google Scholar 

  • Borsuk ME, Stow CA, Reckhow KH (2003) Integrated approach to total maximum daily load development for Neuse River Estuary using Bayesian probability network model (Neu-BERN). J Water Resour Plann Manag-ASCE 129(4):271–282

    Article  Google Scholar 

  • Borsuk ME, Stow CA, Reckhow KH (2004) A Bayesian network of eutrophication models for synthesis, prediction, and uncertainty analysis. Ecol Model 173(2–3):219–239

    Article  Google Scholar 

  • Borsuk ME, Reichert P, Peter A, Schager E, Burkhardt-Holm P (2006) Assessing the decline of brown trout (Salmo trutta) in Swiss rivers using a Bayesian probability network. Ecol Model 192(1–2):224–244

    Article  Google Scholar 

  • Chan TU, Hart BT, Kennard MJ, Pusey BJ, Shenton W, Douglas MM, Valentine E, Patel S (2012) Bayesian network models for environmental flow decision making in the Daly River, Northern Territory, Australia. River Res Appl 28(3):283–301

    Article  Google Scholar 

  • Chen TC (2008) Breeding Biology of Pheasant-tailed jacana Hydrophasianus chirurgus in Taiwan. Doctoral dissertation, National Taiwan University, Taipei

  • Chiu MX (2004) The habitat management of jacana restoration area. Technical report of the Jacana Restoration Commission

  • Das B (2004) Generating conditional probabilities for Bayesian networks: easing the knowledge acquisition problem. arxiv.org/pdf/cs/0411034v1. Accessed in 2013

  • Deng BL (2002) Introduction of jacana. Jacana Restor 75:40–45 (in Chinese)

    Google Scholar 

  • Deng BL (2010) The habitats management models for the breeding of the Pheasant-tailed jacana in Guan-Tian Jacana Restoration Area, Tainan County, Master’s thesis, National Kaohsiung Normal University, Kaohsiung

  • Dlamini WM (2010) A Bayesian belief network analysis of factors influencing wildfire occurrence in Swaziland. Environ Model Softw 25(2):199–208

    Article  Google Scholar 

  • Dlamini WM (2011) Bioclimatic modeling of southern African bioregions and biomes using Bayesian networks. Ecosystems 14(3):366–381

    Article  Google Scholar 

  • Dubois D, Prade H (2010) Formal representations of uncertainty. In: Bouyssou D, Dubois D, Prade H, Pirlot M (eds) Decision making process: concepts and methods. Wiley-ISTE, London

    Google Scholar 

  • Eleye-Datubo AG, Wall A, Wang J (2008) Marine and offshore safety assessment by incorporative risk modeling in a fuzzy-Bayesian network of an induced mass assignment paradigm. Risk Anal 28(1):95–112

    Article  CAS  Google Scholar 

  • Gibbs MT (2007) Assessing the risk of an aquaculture development on shorebirds using a Bayesian belief model. Hum Ecol Risk Assess 13(1):156–179

    Article  Google Scholar 

  • Grech A, Coles RG (2010) An ecosystem-scale predictive model of coastal seagrass distribution. Aquat Conserv: Mar Freshw Ecosyst 20(4):437–444

    Article  Google Scholar 

  • Hamilton GS, Fielding F, Chiffings AW, Hart BT, Johnstone RW, Mengersen KL (2007) Investigating the use of a bayesian network to model the risk of Lyngbya majuscula bloom initiation in deception bay, Queensland. Hum Ecol Risk Assess 13(6):1271–1287

    Article  Google Scholar 

  • Hammond TR, Ellis JR (2002) Ameta-assessment for elasmobranchs based on dietary data and Bayesian networks. Ecol Indic 1(3):197–211

    Article  Google Scholar 

  • Hart BT, Pollino CA (2008) Increased use of Bayesian network models will improve ecological risk assessments. Hum Ecol Risk Assess 14(5):851–853

    Article  Google Scholar 

  • Helle I, Lecklin T, Jolma A, Kuikka S (2011) Modeling the effectiveness of oil combating from an ecological perspective—a Bayesian network for the Gulf of Finland; the Baltic Sea. J Hazard Mater 185(1):182–192

    Article  CAS  Google Scholar 

  • Howes AL, Maron M, McAlpine CA (2010) Bayesian networks and adaptive management of wildlife habitat. Conserv Biol 24(4):974–983

    Article  Google Scholar 

  • Johnson S, Mengersen K, de Waal A, Marnewick K, Cilliers D, Houser AM, Boast L (2010) Modelling cheetah relocation success in southern Africa using an iterative Bayesian network development cycle. Ecol Model 221(4):641–651

    Article  Google Scholar 

  • Kao HY, Huang CH, Hsu CL, Huang CL (2011) Diagnosis from Bayesian networks with fuzzy parameters—a case in supply chains. J Internet Technol 12(1):49–55

    Google Scholar 

  • Karimi AR, Mehrdadi N, Hashemian SJ, Nabi Bidhendi GR, Tavakkoli Moghaddam R (2011) Selection of wastewater treatment process based on the analytical hierarchy process and fuzzy analytical hierarchy process methods. Int J Environ Sci Technol 8(2):267–280

    Article  CAS  Google Scholar 

  • Li HL, Kao HY (2005) Constrained abductive reasoning with fuzzy parameters in Bayesian networks. Comput Oper Res 32(1):87–105

    Article  Google Scholar 

  • Li PC, Chen GH, Dai LC, Zhang L (2012) A fuzzy Bayesian network approach to improve the quantification of organizational influences in HRA frameworks. Saf Sci 50(7):1569–1583

    Article  Google Scholar 

  • Liu KFR, Lai JH (2009) Decision support for environmental impact assessment: a hybrid approach using fuzzy logic and fuzzy analytic network process. Expert Sys Appl 36(3):5119–5136

    Article  Google Scholar 

  • Liu KFR, Lu CF, Chen CW, Shen YS (2012) Applying Bayesian belief networks to health risk assessment. Stoch Environ Res Risk Assess 26(3):451–465

    Article  Google Scholar 

  • Liu KFR, Chen CW, Shen YS (2013) Using Bayesian belief networks to support health risk assessment for sewer workers. Int J Environ Sci Technol 10(2):385–394

    Article  CAS  Google Scholar 

  • Mandal SN, Choudhury JP, Bhadra Chaudhuri SR (2012) In search of suitable fuzzy membership function in prediction of time series data. Int J Comput Sci 9(3):293–302

    Google Scholar 

  • Marcot BG, Holthausen RS, Raphael MG, Rowland MM, Wisdom MJ (2001) Using Bayesian belief networks to evaluate fish and wildlife population viability under land management alternatives from an environmental impact statement. Ecology Manag 153(1–3):29–42

    Article  Google Scholar 

  • Marcot BG, Hohenlohe PA, Morey S, Holmes R, Molina R, Turley MC, Huff MH, Laurence JA (2006) Characterizing species at risk II: using Bayesian belief networks as decision support tools to determine species conservation categories under the northwest forest plan. Ecol Soc 11(2):12

    Article  Google Scholar 

  • Martin TG, Burgman MA, Fidler F, Kuhnert PM, Low-Choy S, Mcbride M, Mengersen K (2012) Eliciting expert knowledge in conservation science. Conserv Biol 26(1):29–38

    Article  Google Scholar 

  • McNay RS, Marcot BG, Brumovsky V, Ellis R (2006) A Bayesian approach to evaluating habitat for woodland caribou in north-central British Columbia. Can J For Res 36(12):3117–3133

    Article  Google Scholar 

  • Newton AC (2010) Use of a Bayesian network for red listing under uncertainty. Environ Model Softw 25(1):15–23

    Article  Google Scholar 

  • Nicholson AE, Flores MJ (2011) Combining state and transition models with dynamic Bayesian networks. Ecol Model 222(3):555–566

    Article  Google Scholar 

  • Nyberg JB, Marcot BG, Sulyma R (2006) Using Bayesian belief networks in adaptive management. Canadian J For Res 36(12):3104–3116

    Article  Google Scholar 

  • Oteniya L (2008) Bayesian belief networks for dementia diagnosis and other applications: a comparison of hand-crafting and construction using a novel data driven technique, PhD thesis of University of Stirling, Scotland. https://dspace.stir.ac.uk/handle/1893/497

  • Pearl J (1988) Probabilistic reasoning in intelligent systems: networks of plausible inference. Morgan Kaufmann, California

    Google Scholar 

  • Penz CA, Flesch CA, Nassar SM, Flesch RCC, de Oliveira MA (2012) Fuzzy-Bayesian network for refrigeration compressor performance prediction and test time reduction. Expert Sys Appl 39(4):4268–4273

    Article  Google Scholar 

  • Petts J (1999) Handbook of environmental impact assessment volume 2: environmental impact assessment in practice: impact and limitations. Blackwell Science, Oxford

    Google Scholar 

  • Pollino CA, White AK, Hart BT (2007a) Examination of conflicts and improved strategies for the management of an endangered Eucalypt species using Bayesian networks. Ecol Model 201(1):37–59

    Article  Google Scholar 

  • Pollino CA, Woodberry O, Nicholson A, Korb K, Hart BT (2007b) Parameterisation and evaluation of a Bayesian network for use in an ecological risk assessment. Environ Model Softw 22(8):1140–1152

    Article  Google Scholar 

  • Radliński Ł (2013) An expert-driven Bayesian network model for simulating and predicting software quality. In: Proceedings Fifth International Conference on information, process, and knowledge management, Nice, France, 26–31

  • Raphael MG, Wisdom MJ, Rowland MM, Holthausen RS, Wales BC, Marcot BG, Rich TD (2001) Status and trends of habitats of terrestrial vertebrates in relation to land management in the interior Columbia River Basin. For Ecol Manag 153(1):63–87

    Article  Google Scholar 

  • Ren J, Jenkinson I, Wang J, Xu DL, Yang JB (2009) An offshore risk analysis method using fuzzy Bayesian network. J Offshore Mech Arct Eng-Trans ASME 131:041101

    Article  Google Scholar 

  • Renken H, Mumby PJ (2009) Modelling the dynamics of coral reef macroalgae using a Bayesian belief network approach. Ecol Model 220(9–10):1305–1314

    Article  Google Scholar 

  • Rieman B, Peterson JT, Clayton J, Howell P, Thurow R, Thompson W, Lee D (2001) Evaluation of potential effects of federal land management alternatives on trends of salmonids and their habitats in the interior Columbia River basin. For Ecol Manag 153(1):43–62

    Article  Google Scholar 

  • Sadoddin A, Letcher RA, Jakeman AJ, Newhamb LTH (2005) A Bayesian decision network approach for assessing the ecological impacts of salinity management. Math Comput Simul 69(1–2):162–176

    Article  Google Scholar 

  • Shenton W, Hart BT, Brodie J (2010) A Bayesian network model linking nutrient management actions in the Tully catchment (northern Queensland) with Great Barrier Reef condition. Mar Freshw Res 61(5):587–595

    Article  CAS  Google Scholar 

  • Shenton W, Hart BT, Chan T (2011) Bayesian network models for environmental flow decision-making: 1. Latrobe River Australia. River Res Appl 27(3):283–296

    Article  Google Scholar 

  • Smith CS, Howes AL, Price B, McAlpine CA (2007) Using a Bayesian belief network to predict suitable habitat of an endangered mammal—the Julia Creek dunnart (Sminthopsis douglasi). Biol Conserv 139(3–4):333–347

    Article  Google Scholar 

  • Steventon JD, Sutherland GD, Arcese P (2006) A population-viability-based risk assessment of Marbled Murrelet nesting habitat policy in British Columbia. Canadian J For Res 36(12):3075–3086

    Article  Google Scholar 

  • Tuzkaya G (2013) An intuitionistic fuzzy Choquet integral operator based methodology for environmental criteria integrated supplier evaluation process. Int J Environ Sci Technol. doi:10.1007/s13762-013-0180-9

    Google Scholar 

  • Tuzkaya G, Gulsun B (2008) Evaluating centralized return centers in a reverse logistics network: an integrated fuzzy multi-criteria decision approach. Int J Environ Sci Technol 5(3):339–352

    Article  Google Scholar 

  • Tuzkaya G, Ozgen A, Ozgen D, Tuzkaya UR (2009) Environmental performance evaluation of suppliers: a hybrid fuzzy multi-criteria decision approach. Int J Environ Sci Technol 6(3):477–490

    Article  Google Scholar 

  • Ueng YT (2008) Analysis of jacanas conservation plan in Tainan County. Technical report of Taiwan Forestry Bureau

  • Uusitalo L (2007) Advantages and challenges of Bayesian networks in environmental modeling. Ecol Model 203(3–4):312–318

    Article  Google Scholar 

  • Uusitalo L, Kuikka S, Romakkaniemi A (2005) Estimation of Atlantic salmon smolt carrying capacity of rivers using expert knowledge. ICES J Mar Sci 62(4):708–722

    Article  Google Scholar 

  • Vilizzi L, Price A, Beesley L, Gawne B, King AJ, Koehn JD, Meredith DL, Nielsen CP, Sharpe CP (2012) The belief index: an empirical measure for evaluating outcomes in Bayesian belief network modelling. Ecol Model 228:123–129

    Article  Google Scholar 

  • Walton A, Meidinger D (2006) Capturing expert knowledge for ecosystem mapping using Bayesian networks. Canadian J For Res 36(12):3087–3103

    Article  Google Scholar 

  • Wang Y, Xie M (2012) Approach to integrate fuzzy fault tree with Bayesian network. Procedia Eng 45:131–138

    Article  Google Scholar 

  • Wang Y, Xie M, Ming K, Meng YF (2011) Quantitative risk analysis model of integrating fuzzy fault tree with bayesian network. In: IEEE international conference on intelligence and security informatics (ISI): 267–271

  • Wilson DS, Stoddard MA, Puettmann KJ (2008) Monitoring amphibian populations with incomplete survey information using a Bayesian probabilistic model. Ecol Model 214(2–4):210–218

    Article  Google Scholar 

  • Wooldridge S, Done T (2004) Learning to predict large-scale coral bleaching from past events: a Bayesian approach using remotely sensed data, in situ data, and environmental proxies. Coral Reefs 23(1):96–108

    Article  Google Scholar 

  • Young WA, Millie DF, Weckman GR, Anderson JS, Klarer DM, Fahnenstiel GL (2011) Modeling net ecosystem metabolism with an artificial neural network and Bayesian belief network. Environ Model Softw 26(10):1199–1210

    Article  Google Scholar 

  • Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning-I. Inf Sci 8:199–249

    Article  Google Scholar 

  • Zadeh LA (1996) Fuzzy logic= computing with words. IEEE Trans Fuzzy Syst 4(2):103–111

    Article  Google Scholar 

  • Zadeh LA (2002) From computing with numbers to computing with words. From manipulation of measurements to manipulation of perceptions. Int J Appl Math Comput Sci 12(3):307–324

    Google Scholar 

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Acknowledgments

The authors would like to thank the National Science Council of the Republic of China (Taiwan) for financially supporting this research under Contract NSC 99-2221-E-131-010-MY2. The author also appreciates the editorial assistance provided by Dr. Michael McGarrigle.

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Correspondence to K. F.-R. Liu.

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Liu, K.FR., Kuo, JY., Yeh, K. et al. Using fuzzy logic to generate conditional probabilities in Bayesian belief networks: a case study of ecological assessment. Int. J. Environ. Sci. Technol. 12, 871–884 (2015). https://doi.org/10.1007/s13762-013-0459-x

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