pure and applied geophysics

, Volume 64, Issue 1, pp 31–42 | Cite as

A markov model for aftershock occurence

  • D. Vere-Jones


A model for aftershocks is put forward in which it is supposed that successive aftershocks represent transitions of an energy system from one state to the next, the successive states being linked in a Markov chain. Expressions are derived for the aftershock frequency, the energy release, and the frequency-magnitude law.


Markov Chain Markov Model Energy Release Energy System Successive State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    H. Bateman,Higher transcendental functions, Vol.1 (Ed. P.Erdelyi et al., New York, 1953).Google Scholar
  2. [2]
    A. F. Filipov,On the distribution of the sizes of particles which undergo splitting, Teoriya Veroyatnostei6 (1961), 275.Google Scholar
  3. [3]
    B. Gutenberg andC. F. Richter,The seismicity of the earth (Princeton, 1954).Google Scholar
  4. [4]
    K. Mogi,On the time distribution of aftershocks accompanying the recent major earthquakes in and near Japan, Bull. Earthquake Res. Inst. Tokyo University40 (1962), 107.Google Scholar
  5. [5]
    F. Omori,On the aftershocks of earthquake, J. Coll. Science Imp. Univ. Tokyo, Japan7 (1894), 111.Google Scholar
  6. [6]
    M. Rosenblatt,Random processes (Oxford 1962).Google Scholar
  7. [7]
    J. Steindl,Random processes and the growth of firms—a study of the Pareto Law (London, 1965).Google Scholar
  8. [8]
    T. Utsu,A statistical study on the occurrence of aftershocks, Geophys. Mag. (Tokyo)30 (1961). 521.Google Scholar
  9. [9]
    D. Vere-Jones andR. Davies,A statistical survey of earthquakes in the main seismic region of New Zealand, Part II:Time series analysis (To appear in N. Z. J. Geol and Geophysics 1966).Google Scholar
  10. [10]
    I. G. Petrovskii,Lectures on the theory of integral equations, English ed., (Graylo Press, Rochester NY 1957).Google Scholar

Copyright information

© Birkhäuser Verlag 1966

Authors and Affiliations

  • D. Vere-Jones
    • 1
  1. 1.Department of StatisticsThe Australian National UniversityCanberraAustralia

Personalised recommendations