A Stochastic Simulation Model for Space-time Description of Rainfall
Author: Praveen Kumar
Publisher:
Published: 1989
Total Pages: 248
ISBN-13:
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Author: Praveen Kumar
Publisher:
Published: 1989
Total Pages: 248
ISBN-13:
DOWNLOAD EBOOKAuthor: Marie-Laure Segond
Publisher: LAP Lambert Academic Publishing
Published: 2010-10
Total Pages: 232
ISBN-13: 9783843355469
DOWNLOAD EBOOKIn the context of flood management, this thesis investigates the relationship between spatial rainfall and runoff production, for a range of scales and catchment types. A methodology for the spatial-temporal rainfall simulation of hourly rainfall is developed and the sensitivity of simulated flood runoff to the representation of observed and simulated spatial rainfall is evaluated. The study is based on 15 years of radar data, 21 raingauges and 12 flow stations from the 1400 km2 Lee catchment, UK. Results show a complex picture. The dominant effect is the spatial variability of the rainfall. No clear pattern emerges as a function of catchment scale, or response time, except that the impact of spatial variability is damped at the whole catchment scale. The sensitivity to spatial rainfall is enhanced on urbanised catchments. In conclusion, the thesis provides specific guidance concerning the importance of spatial rainfall for flood estimation.
Author: Prasun K. Kundu
Publisher: BiblioGov
Published: 2013-08
Total Pages: 22
ISBN-13: 9781289285388
DOWNLOAD EBOOKA characteristic feature of rainfall statistics is that they depend on the space and time scales over which rain data are averaged. A previously developed spectral model of rain statistics that is designed to capture this property, predicts power law scaling behavior for the second moment statistics of area-averaged rain rate on the averaging length scale L as L right arrow 0. In the present work a more efficient method of estimating the model parameters is presented, and used to fit the model to the statistics of area-averaged rain rate derived from gridded radar precipitation data from TOGA COARE. Statistical properties of the data and the model predictions are compared over a wide range of averaging scales. An extension of the spectral model scaling relations to describe the dependence of the average fraction of grid boxes within an area containing nonzero rain (the "rainy area fraction") on the grid scale L is also explored.
Author:
Publisher:
Published: 2006
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Vijay K. Gupta
Publisher:
Published: 1973
Total Pages: 154
ISBN-13:
DOWNLOAD EBOOKAuthor: Vijay K. Gupta
Publisher:
Published: 1973
Total Pages: 308
ISBN-13:
DOWNLOAD EBOOKAuthor: Solym Mawaki Manou-Abi
Publisher: John Wiley & Sons
Published: 2020-04-28
Total Pages: 308
ISBN-13: 1786304546
DOWNLOAD EBOOKThis book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sciences, ecology, epidemiology and social perspectives. The chapters can be read independently of each other, with dedicated references specific to each chapter. The book is organized in two main parts. The first is devoted to some advanced mathematical problems regarding epidemic models; predictions of biomass; space-time modeling of extreme rainfall; modeling with the piecewise deterministic Markov process; optimal control problems; evolution equations in a periodic environment; and the analysis of the heat equation. The second is devoted to a modelization with interdisciplinarity in ecological, socio-economic, epistemological, demographic and social problems. Mathematical Modeling of Random and Deterministic Phenomena is aimed at expert readers, young researchers, plus graduate and advanced undergraduate students who are interested in probability, statistics, modeling and mathematical analysis.
Author: Ole E Barndorff-nielsen
Publisher: World Scientific
Published: 1998-03-31
Total Pages: 226
ISBN-13: 9814496499
DOWNLOAD EBOOKThis book communicates some contemporary mathematical and statistical developments in river basin hydrology as they pertain to space-time rainfall, spatial landform and network structures and their role in understanding averages and fluctuations in the hydrologic water balance of river basins. While many of the mathematical and statistical nations have quite classical mathematical roots, the river basin data structure has led to many variations on the problems and theory.
Author: Elias T. Krainski
Publisher: CRC Press
Published: 2018-12-07
Total Pages: 284
ISBN-13: 0429629850
DOWNLOAD EBOOKModeling spatial and spatio-temporal continuous processes is an important and challenging problem in spatial statistics. Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA describes in detail the stochastic partial differential equations (SPDE) approach for modeling continuous spatial processes with a Matérn covariance, which has been implemented using the integrated nested Laplace approximation (INLA) in the R-INLA package. Key concepts about modeling spatial processes and the SPDE approach are explained with examples using simulated data and real applications. This book has been authored by leading experts in spatial statistics, including the main developers of the INLA and SPDE methodologies and the R-INLA package. It also includes a wide range of applications: * Spatial and spatio-temporal models for continuous outcomes * Analysis of spatial and spatio-temporal point patterns * Coregionalization spatial and spatio-temporal models * Measurement error spatial models * Modeling preferential sampling * Spatial and spatio-temporal models with physical barriers * Survival analysis with spatial effects * Dynamic space-time regression * Spatial and spatio-temporal models for extremes * Hurdle models with spatial effects * Penalized Complexity priors for spatial models All the examples in the book are fully reproducible. Further information about this book, as well as the R code and datasets used, is available from the book website at http://www.r-inla.org/spde-book. The tools described in this book will be useful to researchers in many fields such as biostatistics, spatial statistics, environmental sciences, epidemiology, ecology and others. Graduate and Ph.D. students will also find this book and associated files a valuable resource to learn INLA and the SPDE approach for spatial modeling.
Author: Bellie Sivakumar
Publisher: World Scientific
Published: 2010-08-10
Total Pages: 542
ISBN-13: 9814464759
DOWNLOAD EBOOKThis book comprehensively accounts the advances in data-based approaches for hydrologic modeling and forecasting. Eight major and most popular approaches are selected, with a chapter for each — stochastic methods, parameter estimation techniques, scaling and fractal methods, remote sensing, artificial neural networks, evolutionary computing, wavelets, and nonlinear dynamics and chaos methods. These approaches are chosen to address a wide range of hydrologic system characteristics, processes, and the associated problems. Each of these eight approaches includes a comprehensive review of the fundamental concepts, their applications in hydrology, and a discussion on potential future directions.