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It is widely recognized that the techniques of classical geostatistics, which have been used for several decades, have reached their limit, and the time has come for some alternative approaches to be given a chance. This book, therefore, is an introduction to the fundamentals of modern geostatistics, which is a group of spatiotemporal concepts and methods that are the products of the advancement of the epistemic status of stochastic data analysis. The latter is considered from a novel perspective, promoting the view that a deeper understanding of a theory of knowledge is an important prerequisite for the development of improved mathematical models of scientific mapping. The main focus of the book is the Bayesian Maximum Entropy (BME) approach for studying spatiotemporal distributions of natural variables. As part of the modern geostatistics paradigm, the BME approach provides a fundamental insight into the mapping problem in which the knowledge of a natural variable, not the variable itself, is the direct object of study. The thread running throughout the book is that the modern geostatistical approach to environmental problems is that of natural scientists who are more interested in a stochastic analysis concerned with both the ontological level(building models for physical systems) and the epistemic level (using what we know about the physical systems and integrating and modeling knowledge from a variety of scientific disciplines), rather than in the pure naive inductive account of science based merely on a linear relationship between data and hypotheses and theory-free techniques that may be useful in other areas.
This book investigates the limitations of classical geostatistics and proposes the Bayesian Maximum Entropy (BME) approach as a superior framework for modeling spatiotemporal distributions of natural variables. George Christakos, a prominent researcher in mathematical geology, argues that scientific mapping requires a shift from purely inductive data analysis to a more nuanced integration of ontological and epistemic knowledge. By prioritizing the study of what is known about a variable rather than the variable itself, the author provides a rigorous mathematical foundation for modern environmental modeling.
What You Will Find
Experts recognize this work as a foundational text for researchers seeking to move beyond classical geostatistical limitations. Readers frequently note the high level of mathematical rigor and the philosophical depth required to fully grasp the author's proposed BME framework.
Page Count:
312
Publication Date:
2000-11-30
Publisher:
Oxford University Press
ISBN-10:
0195138953
ISBN-13:
9780195138955