Structural Modeling and Analysis of Water Resources Development and Management System: A Graph Theoretic Approach
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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.
KeywordsGraph theory Water resources system Digraph approach Permanent function
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