Skip to main content
Log in

Abstract

A mathematical model is presented which describes the origin of the earth's geological record in terms of a stochastic process involving random events of sedimentation and erosion. The model yields quantitative predictions of the percentages of the earth's land area in which sediments of one geological period directly overlie those of any given earlier period. It also predicts the total amount of sediment dating from each geological period, and the percentage of the earth's surface marked by outcrops of this sediment. These computed quantities are shown to correlate well with corresponding quantities derived from empirical investigation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Blatt, H. and Jones, H. L., 1975, Proportions of exposed igneous, metamorphic, and sedimentary rocks: Geol. Soc. Amer. Bull., v. 86, p. 1085–1088.

    Google Scholar 

  • Dacey, M. F., 1979, Models of bed formation: Jour. Math. Geol., v. 11, p. 655–668.

    Google Scholar 

  • Kolmogorov, A. N., 1951, Solution of a problem in probability theory connected with the problem of the mechanism of stratification: Ann. Math. Trans., no. 53, p. 171–177.

    Google Scholar 

  • Lambert, R. St. J., 1971, The pre-Pleistocene Phanerozoic time-scale—A review, p. 9–31,in, Harland W. B. and E. H. Francis (Eds.), The Phanerozoic time-scale, a supplement (Part 1): Geol. Soc. London Spec. Publ., v. 5, 356 p.

  • Mizutani, S. and Hattori, I. 1972, Stochastic analysis of bed-thickness distribution of sediments: Jour. Math. Geol., v. 4, p. 123–146.

    Google Scholar 

  • Raup, D. M. 1976, Species diversity in the Phanerozoic: An Interpretation: Paleobiology, v. 2, p. 289–297.

    Google Scholar 

  • Schwarzacher, W. 1975, Sedimentation models and quantitative stratigraph: Elsevier, Amsterdam, 382 p.

    Google Scholar 

  • Woodmorappe, J. 1981, The essential nonexistence of the evolutionary-uniformitarian geologic column: A quantitative assessment: Creat. Res. Soc. Quart., v. 18, p. 46–71.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Thompson, R. A stochastic model of sedimentation. Mathematical Geology 16, 753–778 (1984). https://doi.org/10.1007/BF01036703

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01036703

Key words

Navigation