Equity and Sustainability: An Exposition

2020 ◽  
pp. 232102222097187
Author(s):  
Rabi Bhattacharya ◽  
Mukul Majumdar
Keyword(s):  
Stochastic Models ◽  
Infinite Horizon ◽  
Probability Of Extinction

The paper is an exposition of some issues involving sustainability of equitable (stationary) plans in infinite horizon models. We consider examples of deterministic as well as stochastic models. The models provide conditions on the possibility, inevitability or probability of extinction or collapse.

Population strategies and random environments

1975 ◽  
Vol 53 (2) ◽  
pp. 160-165 ◽  
Author(s):  
Hugh Barclay
Keyword(s):  
Population Growth ◽  
Stochastic Models ◽  
Carrying Capacity ◽  
Death Rate ◽  
Logistic Model ◽  
Birth Rate ◽  
Environmental Variation ◽  
Random Environments ◽  
Probability Of Extinction ◽  
Established Species

It is shown using several models that r and K selection may result from random environmental variation. Probabilities of extinction are derived for both colonizing and well-established species using stochastic models similar to the logistic model, and it is shown that the probability of extinction of a population can be reduced by increasing the birth rate or the carrying capacity or by decreasing the death rate or the effects of the environmental variation on population growth. It is probable that random environmental variation mainly facilitates r selection.

Stochastic models for learning.

1955 ◽  
Vol 39 (6) ◽  
pp. 464-464
Author(s):  
John E. Anderson
Keyword(s):  
Stochastic Models
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