Structural Modeling and Analysis of Water Resources Development and Management System: A Graph Theoretic Approach

An attempt is made to develop an integrated system model for the structure of water resources development and management system. The system consists of five subsystems such as watershed management, groundwater development, surface water management, field level development and climate change along with interactions between them. The system is first modelled in the form of hierarchical tree and integrative block diagram for better understanding and analysis. Graph theoretic and matrix models are then developed for storage, retrieval and computer processing. Variable permanent matrix model and variable permanent function in the form of multinomial are the structural models of the system and characterize the water resources development and management system conclusively. Permanent function presents a powerful and exhaustive analysis procedure to generate alternate solutions for the decision makers for the benefit of stakeholders. Coefficient of similarity and dissimilarity are useful matrix for comparing different solutions. SWOT analysis is proposed before taking final and optimum decision on different issues related to water resources development and management system. An illustrative example of groundwater development subsystem is taken to demonstrate the application of methodology.

[1]  V. P. Agrawal,et al.  Structural modelling and integrative analysis of manufacturing systems using graph theoretic approach , 2008 .

[2]  Ronny Berndtsson,et al.  Multi-criteria Decision Analysis (MCDA) for Integrated Water Resources Management (IWRM) in the Lake Poopo Basin, Bolivia , 2010 .

[3]  John W. Labadie,et al.  Multicriteria Decision Support System for Regionalization of Integrated Water Resources Management , 2012, Water Resources Management.

[4]  S. Mohan Kumar,et al.  State Estimation in Water Distribution Networks Using Graph-Theoretic Reduction Strategy , 2008 .

[5]  Dragan Milicevic,et al.  Analytical Support for Integrated Water Resources Management: A New Method for Addressing Spatial and Temporal Variability , 2012, Water Resources Management.

[6]  Hiroshi Ishidaira,et al.  Sustainability Analysis for Yellow River Water Resources Using the System Dynamics Approach , 2002 .

[7]  George Elambo Nkeng,et al.  Water Resources Management and Integrated Water Resources Management (IWRM) in Cameroon , 2010 .

[8]  Saeed Morid,et al.  Rainfall-runoff Modeling in a Watershed Scale Using an Object Oriented Approach Based on the Concepts of System Dynamics , 2013, Water Resources Management.

[9]  Frank Harary,et al.  Graph Theory , 2016 .

[10]  P Hajek,et al.  Multicriteria Decision Analysis (MCDA) In HTA - Pilot Study in the Czech Republic. , 2014, Value in health : the journal of the International Society for Pharmacoeconomics and Outcomes Research.

[11]  I. Goulter,et al.  OPTIMIZATION OF REDUNDANCY IN WATER DISTRIBUTION NETWORKS USING GRAPH THEORETIC PRINCIPLES , 1989 .

[12]  Lien Poelmans,et al.  A System-based Paradigm of Drought Analysis for Operational Management , 2013, Water Resources Management.

[13]  Lucien Duckstein,et al.  Ranking Ground-water Management Alternatives by Multicriterion Analysis , 1994 .

[14]  Daniel P. Loucks,et al.  Sustainability Index for Water Resources Planning and Management , 2011 .

[15]  Jery R. Stedinger,et al.  Water Resources Systems Planning And Management , 2006 .

[16]  Sandeep Grover,et al.  Role of human factors in TQM: a graph theoretic approach , 2006 .

[17]  O. P. Gandhi,et al.  Failure Cause Analysis—A Structural Approach , 1996 .

[18]  Reza Ardakanian,et al.  Multi-criteria Decision Making for Integrated Urban Water Management , 2008 .

[19]  Henryk Minc.  An inequality for permanent of (0, 1)-matrices , 1967 .

[20]  Mike Spiliotis,et al.  Dam- Breach Hydrograph Modelling: An Innovative Semi- Analytical Approach , 2013, Water Resources Management.

[21]  Eun-Sung Chung,et al.  Development of integrated watershed management schemes for an intensively urbanized region in Korea , 2007 .

[22]  L. Duckstein,et al.  Multicriterion Analysis for Sustainable Water Resources Planning: A Case Study in Spain , 2000 .