Entropy theory in hydrologic science and engineering / Vijay P. Singh
- Author:
- Singh, V. P. (Vijay P.)
- Published:
- New York, N.Y. : McGraw-Hill Education, [2015]
- Copyright Date:
- ?2015
- Edition:
- First edition.
- Physical Description:
- 1 online resource (xxiv, 824 pages) : illustrations
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- Series:
- Language Note:
- In English.
- Contents:
- A. About the author -- B. Dedication -- C. Preface -- D. Acknowledgments -- A. Part i: preliminaries -- 1. Introduction to entropy theory -- Concept of entropy -- Entropy theory -- Types of entropies -- Approximate entropy and sample entropy -- Principle of maximum entropy -- Methodology for application of pome -- Concentration theorem -- Principle of minimum cross entropy -- Application of pomce to continuous variables -- Application of pomce with fractile constraints -- Comparison between pome and pomce -- Entropy scaling -- Partial and constrained entropy -- Entropy under transformation of variables -- Types of hydrologic problems -- Hypothesis on cumulative distribution function -- Questions -- References -- Further reading -- 2. Maximum entropy production principle -- Hydrologic systems -- Irreversibility of system processes and entropy production -- Laws of thermodynamics -- Principle of maximum entropy production -- Application of maximum entropy production principle -- Entropy production flux -- Application of nonequilibrium thermodynamics -- Questions -- References -- Further reading -- 3. Performance measures -- Symbols and definitions -- Performance measures for deterministic models -- Goodness-of-fit measures for probabilistic models -- Questions -- References -- Further reading -- 4. Morphological analysis -- Basic terminology -- Distribution of stream elevations -- Entropy and potential energy -- Longitudinal channel profile -- Law of average stream fall -- Entropy, horton-strahler order, magnitude, and fractal dimension -- Scaling properties -- Horton-strahler equations -- Streambed profile -- Stream meandering -- Stream order as a measure of sample source uncertainty -- Watershed surface description -- Case study -- Questions -- References -- Further reading -- 5. Evaluation and design of sampling and measurement networks -- Design considerations -- Correlation -- Entropy-based measures -- Isoinformation -- Directional information transfer index -- Information correlation coefficient -- Total correlation -- Maximum information minimum redundancy -- Application to monitoring, evaluation, and design -- Questions -- References -- Further reading -- B. Part ii: rainfall and evapotranspiration -- 6. Precipitation variability -- Measures of variability -- Trend and persistence -- Entropy measures -- Comparison of entropy and diversity indices -- Comparison of entropy and variance -- Rainfall disaggregation -- Rainfall complexity -- Entropy scaling -- Case study 1: precipitation variability -- Case study 2: rainfall disaggregation -- Questions -- References -- Further reading -- 7. Rainfall frequency distributions -- Factors affecting rainfall frequency distributions -- Derivation of annual maximum rainfall distributions -- Three generalized distributions -- Case study 1: evaluation of entropy-based distributions and comparison using observed rainfall data -- Frequency analysis and idf curves -- Case study 2: evaluation of entropy-based distributions and comparison using synthetic data -- Questions -- References -- Further reading -- 8. Evaluation of probabilistic precipitation forecasting -- Notation -- Methods for evaluation of probabilistic forecasting -- Decomposition of brier score -- Kullback-leibler divergence -- Questions -- References -- Further reading. and 9. Assessment of potential water resources availability -- Entropy as a measure of temporal rainfall apportionment -- Assessment of water resources availability -- Case study: japan -- Case study: worldwide mapping of pwra -- Questions -- References -- Further reading -- 10. Evaporation -- Extremum principle for evaporation from land surfaces -- Extremum principle -- Transpiration -- Questions -- References -- Further reading -- C. Part iii: subsurface flow -- 11. Infiltration -- Preliminaries -- Derivation of infiltration equations -- Questions -- References -- Further reading -- 12. Soil moisture -- Soil moisture zone -- Soil moisture profile -- Estimation of soil moisture profile -- Derivation of soil moisture profiles -- Mean soil moisture content -- Soil moisture variation in time -- Questions -- References -- Further reading -- 13. Groundwater flow -- One-constraint formulation -- Two-constraint formulation -- Inverse problems -- Inverse linear problem -- Questions -- References -- Further reading -- D. Part iv: surface flow -- 14. Rainfall-runoff modeling -- Runoff volume by scs-cn method -- Instantaneous unit hydrograph -- Volume-peak discharge relation -- Derivation of peak discharge rating curve -- Rational method -- Linear reservoir model -- Appendix 14a: derivation of a general probability distribution -- Appendix 14b: derivation of exponential, gamma, and lognormal probability distributions -- Questions -- References -- Further reading -- 15. Stream flow simulation -- Simulation models -- Stream flow simulation at a single site -- A case study: testing with synthetic data -- A case study: simulation of monthly stream flow -- Entropy-copula method for single-site stream flow simulation -- Entropy-copula method for multisite stream flow simulation -- Appendix 15a: bivariate copulas and their corresponding conditional distributions -- Appendix 15b: trivariate copulas and their corresponding conditional distributions -- Questions -- References -- Further reading -- 16. Hydrologic frequency analysis -- General derivation of a probability distribution -- General probability distribution -- Truncated normal distribution -- Bivariate rainfall-runoff analysis -- Flow duration curve -- Questions -- References -- Further reading -- 17. Stream flow forecasting -- Preliminaries for stream flow forecasting -- Maximum entropy spectral analysis for stream flow forecasting -- Burg entropy spectral analysis -- Configuration entropy spectral analysis -- Minimum relative entropy (cross?entropy) spectral analysis -- Questions -- References -- Further reading -- E. Part v: environmental conditions -- 18. River flow regime classification -- Flow regime classification using clustering -- Regime classification using the uncertainty coefficient -- Regime classification and measure of flow stability -- Interpretation of instability index -- Grouping of river flow regimes by cross entropy -- Questions -- References -- Further reading -- 19. Sediment yield -- Erosion process: preliminaries -- Consideration of probability -- Application of entropy theory -- Sediment graph -- Unit sediment graph -- Conditional probability distribution of sediment yield -- Questions -- References -- Further reading -- 20. Eco-index -- Indicators of hydrologic alteration -- Probability distributions of iha parameters -- Computation of nonsatisfaction eco-level -- Computation of eco-index -- Case study: application to mekong ecosystem -- Questions -- References -- Further reading.
- Summary:
- This unique guide provides a much-needed introduction to entropy, or, the measure of disorder, and the theory's various applications in the hydrologic sciences.
- Subject(s):
- Genre(s):
- ISBN:
- 9780071835466 (print-ISBN)
0071835466 (print-ISBN) - Bibliography Note:
- Includes bibliographical references and index.
- Other Forms:
- Also available in print edition.
- Reproduction Note:
- Electronic reproduction. New York, N.Y. : McGraw Hill, 2015. Mode of access: World Wide Web. System requirements: Web browser. Access may be restricted to users at subscribing institutions.
- Technical Details:
- Mode of access: Internet via World Wide Web.
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