Fuzzy adaptive management of social and ecological carrying capacities for protected areas.

Commonly used methods of evaluating the degree of consistency of protected area ecosystems with social and ecological carrying capacities are likely to result in decision errors. This occurs because such methods do not account for imprecision and uncertainty in inferring the degree of ecosystem consistency from an observed ecosystem indicator. This paper proposes a fuzzy adaptive management approach to determine whether a protected area ecosystem is consistent with ecological and social carrying capacities and, if not, to identify management actions that are most likely to achieve consistency when there is uncertainty about the current degree of consistency and how alternative management actions are likely to influence that consistency. The proposed approach is illustrated using a hypothetical example that uses an ecosystem indicator that reflects combinations of different levels of user satisfaction and conservation of threatened and endangered species. Application of the proposed fuzzy adaptive management approach requires a protected area manager to: (1) identify alternative management actions for achieving ecosystem consistency with social and ecological carrying capacities in each of several management zones in a protected area; (2) randomly assign alternative management actions to management zones; (3) define fuzzy sets for the ecosystem indicator and degree of ecosystem consistency, and fuzzy relations between the ecosystem indicator and the degree of ecosystem consistency; (4) monitor the indicator in each management zone; (5) define fuzzy sets based on the observed indicator in each management zone; and (6) combine the fuzzy sets defined on the observed indicator and the fuzzy relations between the indicator and the degree of ecosystem consistency to reach conclusions about the most likely degree of consistency for alternative management actions in each management zone. The fuzzy adaptive management approach proposed here is advantageous when the benefits of avoiding the decision errors inherent with crisp and stochastic decision rules outweigh the added cost of implementing the approach.

[1]  David N. Cole,et al.  Proceedings - Limits of Acceptable Change and related planning processes: Progress and future directions , 1997 .

[2]  Clarence L. Andrews,et al.  Reindeer in Alaska , 1926, Nature.

[3]  Bert Bredeweg,et al.  Modelling population and community dynamics with qualitative reasoning , 2006 .

[4]  Tony Prato,et al.  Modeling carrying capacity for national parks , 2001 .

[5]  S. El‐Swaify,et al.  Multiple objective decision making for land, water, and environmental management : proceedings of the First International Conference on Multiple Objective Decision Support Systems (MODSS) for Land, Water and Environmental Management: Concepts, Approaches, and Applications , 1998 .

[6]  Prasanta K. Pattanaik,et al.  Fuzzy Sets, Preference and Choice: Some Conceptual Issues , 1989 .

[7]  David N. Cole,et al.  The Limits of acceptable change (LAC) system for wilderness planning , 1985 .

[8]  Christer Carlsson,et al.  Fuzzy multiple criteria decision making: Recent developments , 1996, Fuzzy Sets Syst..

[9]  Graciela Metternicht,et al.  Assessing temporal and spatial changes of salinity using fuzzy logic, remote sensing and GIS. Foundations of an expert system , 2001 .

[10]  Robert E. Manning,et al.  Social carrying capacity of natural areas: theory and application in the U.S. National Parks , 1996 .

[11]  Yu-Fai Leung,et al.  Recreation Impacts and Management in Wilderness: A State-of-Knowledge Review , 2000 .

[12]  S. A. Cain,et al.  Wildlife management in the National Parks , 1963 .

[13]  Chris Chinien,et al.  A framework for evaluating the effectiveness of instructional materials , 1994 .

[14]  Y. Phillis,et al.  Evaluating strategies for sustainable development: fuzzy logic reasoning and sensitivity analysis , 2004 .

[15]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[16]  Clement A. Tisdell,et al.  Carrying capacity reconsidered: from Malthus' population theory to cultural carrying capacity , 1999 .

[17]  Robert E. Manning,et al.  Studies in Outdoor Recreation: Search and Research for Satisfaction , 2010 .

[18]  Shiliang Liu,et al.  A framework for evaluating the effectiveness of protected areas: the case of Wolong Biosphere Reserve , 2003 .

[19]  S. M. Baas,et al.  Rating and ranking of multiple-aspect alternatives using fuzzy sets , 1976, at - Automatisierungstechnik.

[20]  James M. Keller,et al.  Fuzzy Multiple Attribute Decision Making (MADM): A Tool for Agricultural and Resource Economics , 1996 .

[21]  Ian Moffatt,et al.  Measuring sustainability: A time series of alternative indicators for Scotland , 1999 .

[22]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[23]  Daniel P. Loucks,et al.  Developing and implementing decision support systems: a critique and a challenge , 1995 .

[24]  William Silvert,et al.  Fuzzy indices of environmental conditions , 2000 .

[25]  Tony Prato,et al.  Bayesian adaptive management of ecosystems , 2005 .

[26]  Tony Prato,et al.  Assessing ecosystem sustainability and management using fuzzy logic , 2007 .

[27]  DAVID M. STOMS,et al.  Fuzzy Assessment of Land Suitability for Scientific Research Reserves , 2002, Environmental management.

[28]  Peter Newman,et al.  Integrating resource, social and managerial indicators of quality into carrying capacity decision making , 2001 .

[29]  Robert M. May,et al.  Theoretical Ecology: Principles and Applications , 1981 .

[30]  Thomas A. Heberlein,et al.  Carrying Capacity in Recreation Settings , 1986 .

[31]  Yannis A. Phillis,et al.  Sustainability: an ill-defined concept and its assessment using fuzzy logic , 2001 .

[32]  G. Miller Resource conservation and management , 1989 .

[33]  Ramanathan Sugumaran,et al.  Development of an integrated range management decision support system , 2002 .

[34]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[35]  W. Silvert Ecological impact classification with fuzzy sets , 1997 .

[36]  J. Alan Wagar,et al.  The Carrying Capacity of Wild Lands for Recreation , 1964 .

[37]  James C. Meyer,et al.  A Web-based environmental decision support system (WEDSS) for environmental planning and watershed management , 2004, J. Geogr. Syst..

[38]  Alan R. Graefe,et al.  Visitor Impact Management: The Planning Framework , 1990 .