Buch, Englisch, 304 Seiten, Format (B × H): 155 mm x 235 mm
A Bayesian Approach
Buch, Englisch, 304 Seiten, Format (B × H): 155 mm x 235 mm
Reihe: Forum for Interdisciplinary Mathematics
ISBN: 978-3-032-31719-3
Verlag: Springer
offers a comprehensive and accessible guide to the stochastic methods that underpin modern environmental analysis. Grounded in real-world data and decades of research, this book presents a unified framework for modeling pollutant concentrations, exceedances, temporal variability, and spatial dependence.
Bridging foundational concepts with advanced applications, the book explores:
- Discrete-time Markov chains , including homogeneous, non-homogeneous, and higher-order formulations for forecasting pollution levels.
- Homogeneous and non-homogeneous Poisson processes , with and without change-points, for studying exceedance frequencies and event clustering.
- Stochastic volatility models adapted from financial mathematics to characterize environmental variability.
- Spatio-temporal models that capture how pollutants evolve across both time and geographic regions.
- Bayesian inference and MCMC techniques , providing robust parameter estimation even in complex or data-limited scenarios.
Drawing on extensive ozone and particulate matter data from Mexico City and São Paulo, the book demonstrates how these models inform environmental policy, health-risk assessment, and scientific understanding. Detailed case studies show how thresholds are exceeded, how clusters of high-pollution events form, and how legislative interventions alter long-term behavior.
Complete with appendices featuring R , this volume provides readers with ready-to-use tools for their own research. It serves as an essential resource for statisticians, environmental scientists, data analysts, atmospheric researchers, and graduate students seeking a rigorous yet application-oriented treatment of stochastic environmental modeling.
Insightful, methodologically rich, and deeply practical—this book equips researchers to confront the complexities of air pollution with clarity and mathematical power.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Introduction.- Preliminiary results.- Markov chain models and their applications.- Poisson processes and their applications.- Stochastic volatility models and their applications.- Modeling the time between ozone exceedances.- Further models.- Discussion.- Appendix.
