Demography in stochastic environments. I. Exact distributions of age structure
✍ Scribed by S. Tuljapurkar
- Publisher
- Springer
- Year
- 1984
- Tongue
- English
- Weight
- 649 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0303-6812
No coin nor oath required. For personal study only.
✦ Synopsis
The steady state distribution of age structure is studied for populations with two age classes and stochastic vital rates. For a serially uncorrelated dichotomic vital rate the distribution of age structure is found analytically to be a singular steplike function; outside a specific region of vital rate values the singular function crosses a threshold to a smooth function. For a vital rate following a correlated two state Markov process the joint distributions of age structure and environment are found analytically to be singular steplike functions; again a threshold marks a transition to a smooth function. For fecundities which are serially uncorrelated but continuously distributed the age structure distribution is obtained as a smooth analytic function for all parameter values. These explicit results have applications to studies of age structure and average growth rate.