Ebook: Stochastic and Statistical Methods in Hydrology and Environmental Engineering: Volume 2 Stochastic and Statistical Modelling with Groundwater and Surface Water Applications

World renowned scientists present valuable contributions to stochastic and statistical modelling of groundwater and surface water systems. The philosophy of probabilistic modelling in the hydrological sciences is put into proper perspective and the importance of stochastic differential equations in the environmental sciences is explained and illustrated. The new research ideas put forward in groundwater modelling will assist decision makers in tackling challenging problems such as controlling pollution of underground aquifers and obtaining adequate water supplies. Additionally, different types of stochastic models are used in modelling a range of interesting surface water problems. Other topics covered in this landmark volume include stochastic optimization, moment analysis, carbon dioxide modelling and rainfall prediction.

Audience
The book is of interest to researchers, teachers, students and practitioners who wish to be at the leading edge of stochastic and statistical modelling in the environmental sciences.

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Content:
Front Matter....Pages i-xix
Front Matter....Pages 1-1
Unny Symposium: Why are You Here?....Pages 3-20
Stochastic Differential Equations in Environmental Modeling and their Numerical Solution....Pages 21-31
The Meaning of Stochasticity, Randomness and Uncertainty in Environmental Modeling....Pages 33-38
Front Matter....Pages 39-39
Identification of Stochastic Dispersion Models....Pages 41-54
Solving and Calibrating Groundwater Flow Systems with the Penalty Method....Pages 55-67
Calibration of Groundwater Models by Optimization of Parameters in Homogeneous Geological Zones....Pages 69-82
Stochastic Characterization of Aquifer Heterogeneity from Drill Log Data....Pages 83-98
Groundwater Contaminant Transport: Estimating the Pollution at a Well....Pages 99-112
Transport by Two-Dimensional Random Velocity Fields : Effective Dispersion Coefficients of a Finite Plume....Pages 113-126
Spatial Correlation Analysis of Two-Dimensional Solute Transport in the Unsaturated Zone....Pages 127-138
Geostatistical Consideration on the Water Retention Volume and Pore Volume in Unsaturated Granular Material Composed of Various Particles....Pages 139-149
Derivation of a Distribution for the Piezometric Head in Groundwater Flow Using Entropy....Pages 151-161
L1 and L2 Estimators in Groundwater Problems: Parameter Estimates and Covariances....Pages 163-173
A Version of Dynamic-Stochastic Modelling of Hydrological Processes....Pages 175-183
Front Matter....Pages 185-185
Computational Methods in Stochastic River Waters Quality Modeling....Pages 187-195
A Random Flight Model in General Coordinates....Pages 197-209
Application of a Distributed Parameter Filter to Predict Simulated Tidal Induced Shallow Water Flow....Pages 211-223
Stochastic Behaviour of Storage in Conceptual Reservoirs....Pages 225-240
Stochastic Response of Storage Function Model for Flood Runoff....Pages 241-254
Stochastic Model of Finite Storage Processes: Input with Finite Support....Pages 255-268
Front Matter....Pages 269-269
A Regularized Algorithm for Solving Two-Stage Stochastic Linear Programming Problems: A Water Resources Example....Pages 271-284
Stochastic Characterization of Optimal Response of a Hydroelectric System Via Dynamic Programming....Pages 285-298
Front Matter....Pages 299-299
Estimating Mean and Covariance of the Solution of a Linear System with Random Coefficients....Pages 301-307
Second Moment Analysis of Dynamic Systems with Probabilistic Components in the Frequency Domain....Pages 309-322
Front Matter....Pages 323-323
Uncertainty Analysis in Global Carbon Dioxide Modeling....Pages 325-337
A Real-Time Estimation of the Accuracy of Short-Term Rainfall Prediction Using Radar....Pages 339-351
Fourier Approximations for Estimation And Smoothing of Irregularly Observed Spatial Processes....Pages 353-365
Back Matter....Pages 367-372

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Content:
Front Matter....Pages i-xix
Front Matter....Pages 1-1
Unny Symposium: Why are You Here?....Pages 3-20
Stochastic Differential Equations in Environmental Modeling and their Numerical Solution....Pages 21-31
The Meaning of Stochasticity, Randomness and Uncertainty in Environmental Modeling....Pages 33-38
Front Matter....Pages 39-39
Identification of Stochastic Dispersion Models....Pages 41-54
Solving and Calibrating Groundwater Flow Systems with the Penalty Method....Pages 55-67
Calibration of Groundwater Models by Optimization of Parameters in Homogeneous Geological Zones....Pages 69-82
Stochastic Characterization of Aquifer Heterogeneity from Drill Log Data....Pages 83-98
Groundwater Contaminant Transport: Estimating the Pollution at a Well....Pages 99-112
Transport by Two-Dimensional Random Velocity Fields : Effective Dispersion Coefficients of a Finite Plume....Pages 113-126
Spatial Correlation Analysis of Two-Dimensional Solute Transport in the Unsaturated Zone....Pages 127-138
Geostatistical Consideration on the Water Retention Volume and Pore Volume in Unsaturated Granular Material Composed of Various Particles....Pages 139-149
Derivation of a Distribution for the Piezometric Head in Groundwater Flow Using Entropy....Pages 151-161
L1 and L2 Estimators in Groundwater Problems: Parameter Estimates and Covariances....Pages 163-173
A Version of Dynamic-Stochastic Modelling of Hydrological Processes....Pages 175-183
Front Matter....Pages 185-185
Computational Methods in Stochastic River Waters Quality Modeling....Pages 187-195
A Random Flight Model in General Coordinates....Pages 197-209
Application of a Distributed Parameter Filter to Predict Simulated Tidal Induced Shallow Water Flow....Pages 211-223
Stochastic Behaviour of Storage in Conceptual Reservoirs....Pages 225-240
Stochastic Response of Storage Function Model for Flood Runoff....Pages 241-254
Stochastic Model of Finite Storage Processes: Input with Finite Support....Pages 255-268
Front Matter....Pages 269-269
A Regularized Algorithm for Solving Two-Stage Stochastic Linear Programming Problems: A Water Resources Example....Pages 271-284
Stochastic Characterization of Optimal Response of a Hydroelectric System Via Dynamic Programming....Pages 285-298
Front Matter....Pages 299-299
Estimating Mean and Covariance of the Solution of a Linear System with Random Coefficients....Pages 301-307
Second Moment Analysis of Dynamic Systems with Probabilistic Components in the Frequency Domain....Pages 309-322
Front Matter....Pages 323-323
Uncertainty Analysis in Global Carbon Dioxide Modeling....Pages 325-337
A Real-Time Estimation of the Accuracy of Short-Term Rainfall Prediction Using Radar....Pages 339-351
Fourier Approximations for Estimation And Smoothing of Irregularly Observed Spatial Processes....Pages 353-365
Back Matter....Pages 367-372
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