AN interesting but highly mathematical memoir by Prof. Karl Pearson and Mr. J. Blakeman on "A Mathematical Theory of Random Migration" has just been re-issued.
The problem dealt with is, in simple terms, the following: -
Given that a large number of individuals move by successive straight steps of length x in random directions, starting from one and the same point, required to find their distribution after y such steps. The solution, which is obtained in terms of Bessel functions, is applicable to such practical problems as the infiltration of mosquitoes into a cleared area, or the recovery of a habitat by a species which has been driven out owing to temporarily unfavourable conditions. Prof. Pearson obtained some assistance in the solution of the problem through a letter addressed to our correspondence columns .
AN interesting but highly mathematical memoir by Prof. Karl Pearson and Mr. J. Blakeman on "A Mathematical Theory of Random Migration" has just been re-issued.
The problem dealt with is, in simple terms, the following: -
Given that a large number of individuals move by successive straight steps of length x in random directions, starting from one and the same point, required to find their distribution after y such steps. The solution, which is obtained in terms of Bessel functions, is applicable to such practical problems as the infiltration of mosquitoes into a cleared area, or the recovery of a habitat by a species which has been driven out owing to temporarily unfavourable conditions. Prof. Pearson obtained some assistance in the solution of the problem through a letter addressed to our correspondence columns .