This book provides an introduction to recent developments in automated stratigraphic correlation of fossil data, using computer programs for ranking and scaling of stratigraphic events. Mainframes or microcomputers can be used to aid the stratigrapher during data inventory for a region or time period, for construction of a biozonation based on stratigraphic events, (such as the latest appearance datum of a fossil species), and for automated correlation.
The book is intended for advanced geology students, research workers and teachers with a background in stratigraphy and an interest in using computer-based techniques for problem-solving.
1. PROBABILISTIC METHOD FOR AUTOMATED STRATIGRAPHIC CORRELATION. Introduction. IGCP Project 148. Quantitative biostratigraphy. Quantitative chronostratigraphy. Quantitative lithostratigraphy. Recent developments in stratigraphy. 2. PRINCIPLES OF QUANTITATIVE STRATIGRAPHY. Introduction. Zones in biostratigraphy. Quantitative versus qualitative stratigraphy. Local versus regional ranges of taxa. Estimation of the highest and lowest occurrences of taxa. The frequency distributions of highest and lowest occurrences of taxa. 3. APPLICATIONS OF MATHEMATICAL STATISTICS AND COMPUTER SCIENCE TO ZONATION, CORRELATION AND AGE INTERPOLATION. Introduction. Binomial test for randomness. Binomial distribution model for microfossil abundance data. Multiple pairwise comparison. Applications of graph theory. Use of cubic smoothing splines for removing ``noise'' from microfossil abundance data. Biostratigraphic correlation between Tojeira 1 and 2 sections in central Portugal using E. mosquensis abundance data. Multivariate methods. Research on time-scales. Computer simulation experiments on estimation of the age of chronostratigraphic boundaries. Smoothing of time-scales with the aid of cubic spline functions. Statitistical significance of ages. 4. CODING AND FILE MANAGEMENT OF STRATIGRAPHIC INFORMATION. Introduction. Five basic types of files. Hay example as derived from the Sullivan database: Lower Tertiary nannoplankton in California. Partial DAT file for the Hay example. DAT files constructed by Guex and Davaud. Gradstein-Thomas database: Cenozoic foraminifera in Canadian atlantic margin wells. Characteristic features of Gradstein-Thomas database. Frequency of occurrence of taxa of cenozoic foraminifera along the northwestern Atlantic margin. Artificial datasets based on random numbers. 5. RANKING OF BIOSTRATIGRAPHIC EVENTS. Introduction. Hay's original method. Algorithmic version of Hay's origina
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- © Elsevier Science 1990
- 26th April 1990
- Elsevier Science
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Mathematical Applications in Geology Section, Geological Survey of Canada, Ottawa, Canada,xxxx
@qu:The concept of probabilistic stratigraphy, and thus of RASC, is both intuitively simple and intellectually appealing, and, although the emphasis in Agterberg's book is on mathematics, the latter is not particularly fearsome. The evolving state of both RASC and CASC has been extensively described in a series of earlier publications and readers who are familiar with them will find a corresponding amount of familiar material here. Nevertheless, this book is obviously the presently definitive version and should be the point of departure for those seriously interested in experimenting with this approach to biozonation and correlation. It is right up to date, with a number of 1990 items in the reference list. Although ASC is mainly about RASC, there is a useful review of some other methods early in the book, and elements of some of these are indeed incorporated into the RASC/CASC package. Agterberg (himself a mathematician, but working within a Mathematical Applications section in the Geological Survey of Canada, and in close collaboration with Dr. F.M. Gradstein, a biostratigrapher) has performed a considerable service to the science of stratigraphy by developing Hay's initial idea to its fullest extent; few stratigraphers are sufficiently numerate to have attempted such a task. @source:Terra Nova @from:Brian Shaw, BHP Americas, Inc., Houston, TX, USA @qu:Automated Stratigraphic Correlation by Fritz Agterberg not only contains a lot of music, but qualifies as a full-blown symphony both in the complexity and the orchestration of his presentation. This book is not an introductory overture or "how-to" manual for the uninitiated, but a high-level exposition and review of the state-of-the-art of quantitative biostratigraphic correlation.... the book may be viewed as an expanded and detailed program document of the highest order. The programs are available on request from the Bedford Institute of Oceanography in Dartmou