Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Journals
  3. Advances in Applied Probability
  4. Volume 8
Journal Home
Refine listing

Refine listing

Access:
Publication date:

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×
< Back to all issues

Volume 8 - June 1976

Contents

Page 5 of 8

Front Matter

Conference on Patterns and Processes in the Plane: Swansea, 25–27 September 1975

II. Contributed Papers

Fifth Conference on Stochastic Processes and their Applications

Back Matter

Conference on Patterns and Processes in the Plane: Swansea, 25–27 September 1975

II. Contributed Papers

Fifth Conference on Stochastic Processes and their Applications

Conference on Patterns and Processes in the Plane: Swansea, 25–27 September 1975

II. Contributed Papers

Fifth Conference on Stochastic Processes and their Applications

Conference on Patterns and Processes in the Plane: Swansea, 25–27 September 1975

II. Contributed Papers

Fifth Conference on Stochastic Processes and their Applications

Conference on Patterns and Processes in the Plane: Swansea, 25–27 September 1975

II. Contributed Papers

Fifth Conference on Stochastic Processes and their Applications

Conference on Patterns and Processes in the Plane: Swansea, 25–27 September 1975

II. Contributed Papers

Fifth Conference on Stochastic Processes and their Applications

Conference on Patterns and Processes in the Plane: Swansea, 25–27 September 1975

II. Contributed Papers

Fifth Conference on Stochastic Processes and their Applications

Research Article

  • Branching diffusion processes in population genetics

  • Stanley Sawyer
  • Published online by Cambridge University Press:
    01 July 2016, pp. 659-689

  • A branching random field is considered as a model of either of two situations in genetics in which migration or dispersion plays a role. Specifically we consider the expected number of individuals NA in a (geographical) set A at time t, the covariance of NA and NB for two sets A, B, and the probability I(x, y, u) that two individuals found at locations x, y at time t are of the same genetic type if the population is subject to a selectively neutral mutation rate u. The last also leads to limit laws for the average degree of relationship of individuals in various types of branching random fields. We also find the equations that the mean and bivariate densities satisfy, and explicit formulas when the underlying migration process is Brownian motion.

II. Contributed Papers

Fifth Conference on Stochastic Processes and their Applications

Page 5 of 8