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Foreword: The Vocabulary of Nature; Preface: From the Coordinating Editor; Contents; Contributors; Chapter 1: Mathematical Advances Towards Sustainable Environmental Systems: Context and Perspectives; 1.1 Introduction; 1.2 Chapter Outlines; References; Chapter 2: Biological Modelling for Sustainable Ecosystems; 2.1 Introduction; 2.2 Biogeographic studies, Digital Elevation Models, Climatic data and Biological Records; 2.3 Mathematic Detail of Algorithmic Structures; 2.4 Genetic Dispersal/Stochastic Methods

2.5 Functional Approximation Algorithms/Using Continual and Discrete Data for Informative Expansion2.6 Case Studies: Plant Strategies, Life Forms and Metabolism; 2.7 Heuristic and Optimal Search Capability and Application to Biological, Chemical and Physical Data; 2.8 Conclusions/Further Directions; References; Chapter 3: On the Dynamics of the Deployment of Renewable Energy Production Capacities; 3.1 Introduction; 3.2 Energy Return on Energy Investment; 3.3 MODERN: A Discrete-Time Model of the Deployment of Renewable Energy Production Capacities; 3.3.1 Time

3.3.2 Assumption Regarding the Energy Produced from Nonrenewable Sources3.3.3 Energy from Renewable Origin; 3.3.4 Dynamics of Deployment of Energy Production Means; 3.3.5 Energy Costs for Growth and Long-Term Replacement; 3.3.6 Total Energy and Net Energy to Society; 3.3.7 Constraints on the Quantity of Energy Invested for Energy Production; 3.3.8 Assumptions on Growth and Replacement Energy Costs; 3.4 Simulation Results: Case Study for Photovoltaic Panels; 3.4.1 Variable Initialization; 3.4.2 Growth Scenario; 3.4.3 Depletion of Nonrenewable Resources Scenario

3.4.4 Values of ERoEI and Lifetime3.4.5 Typical Runs; 3.5 On the Potential Benefits of Using Control Strategies; 3.6 From Modelling to Society; 3.7 Conclusions; References; Chapter 4: Water System Modelling; 4.1 Introduction; 4.2 Water Systems Modelling for Quantity and Quality; 4.2.1 AGNPS; 4.2.2 ANSWERS; 4.2.3 CASC2D; 4.2.4 MIKESHE; 4.2.5 DWSM; 4.2.6 KINEROS; 4.2.7 HSPF; 4.2.8 SWAT; 4.2.9 PRMS; 4.2.10 HEC-HMS; 4.2.11 HEC-RAS; 4.2.12 WEAP; 4.3 Time and Space Scale; 4.3.1 Time Scales in Modelling; 4.3.1.1 Event-Based Models; 4.3.1.2 Continuous Models; 4.3.2 Space Scale in Modelling

4.3.3 Mathematical Bases for the Selected Models4.4 Model Calibration and Verification; 4.4.1 Root Mean Square Error (RMSE); 4.4.2 Coefficient of Determination R2; 4.4.3 Chi-square; 4.4.4 Nash-Sutcliffe Coefficient; 4.4.5 Index of Agreement d; 4.4.6 Nash-Sutcliffe Efficiency with Logarithmic Values ln E; 4.4.7 Modified Forms of E and d; 4.4.8 Relative Efficiency Criteria Erel and drel; 4.4.9 Measures of Efficiency; 4.5 Discussion; 4.6 Selecting a Model for Estimating Nutrient Yield and Transportation During Flash Floods and Wet Seasons

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