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It is not the case that Stochastic models should be used when population sizes are small
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Reasons For
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Reason for 1 of 2
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1.
Deterministic models with sensitivity analysis can adequately capture threshold effects in small populations without stochastic complexity.
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2.
The computational costs of stochastic modeling in conservation contexts may divert limited resources from empirical data collection that matters more.
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Reason for 2 of 2
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1.
May and colleagues demonstrated that deterministic chaos in ecological models produces outcomes indistinguishable from stochastic noise in small populations.
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2.
If deterministic dynamics mimic stochastic outcomes, the prescriptive claim that stochastic models *should* be used lacks discriminatory empirical grounding.
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Reasons Against
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Reason against
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1.
When population sizes are small, the effects of fluctuations due to population size must be explicitly analyzed
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2.
Stochastic models explicitly analyze the effects of population size fluctuations
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