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Topic: Life tables and intrinsic rate of increase
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David Arnold

Posts: 126
Registered: 12/4/04
Life tables and intrinsic rate of increase
Posted: Aug 4, 1996 11:58 PM
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I am examining (new for me) a construct called a "life table" and am
using an equation due to Lotka:

1=sum(x=0,M,l_x*m_x*exp(-r*x)) %(Lotka's equation)

I have the following data:

» x=(0:5)';
» l_x=[1 .98 .95 .5 .3 0]';
» m_x=[0 0 0 3 4 0]';

I need to solve Lotka's equation for the intrinsic rate of natural
increase, r. I would like to do this using Matlab, but without referring
to any of Matlab's various toolboxes. For example, could I use fzero.m
to solve this equation? Are there other ways?

Actually, I would be interested in seeing a number of techniques. That
would broaden my capability with Matlab and most likely open new


David Arnold
College of the Redwoods
Eureka, California 95501

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