Population Viability Analysis Calculator

Enter your Initial Population (N₀), Carrying Capacity (K), Growth Rate (r), Variance, Time Horizon, and Extinction Threshold into this Population Viability Calculator to find Extinction Probability and Mean Time to Extinction.

Starting number of individuals in the population

Maximum sustainable population size

Annual population growth rate (negative for declining populations)

Variance in growth rate due to environmental stochasticity

Variance due to random births and deaths

Number of years to project into the future

Population size below which extinction is assumed

More simulations provide more accurate results

Results

Extinction Probability

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Mean Final Population

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Mean Time to Extinction

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Realized Growth Rate (λ)

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Population Trajectory Over Time

Results Table

Frequently Asked Questions

What is Population Viability Analysis (PVA)?

Population Viability Analysis is a quantitative method used to assess the risk of extinction for wildlife populations. It uses demographic data and environmental factors to predict the probability that a population will persist over a specified time period.

What does the extinction probability tell us?

Extinction probability represents the likelihood that a population will fall below the extinction threshold within the specified time horizon. A probability above 10% is generally considered high risk for conservation purposes.

How does environmental variance affect population viability?

Environmental variance accounts for year-to-year fluctuations in conditions like weather, food availability, or habitat quality. Higher environmental variance increases extinction risk by causing more unpredictable population fluctuations.

What is demographic stochasticity?

Demographic stochasticity refers to random variation in births, deaths, and reproduction that occurs even in constant environments. It has a stronger effect on smaller populations and can push them toward extinction.

How should I choose the carrying capacity?

Carrying capacity should reflect the maximum number of individuals the habitat can sustain. Consider factors like available territory, food resources, and breeding sites. It's often estimated from historical population peaks or habitat assessments.

What is a reasonable extinction threshold?

The extinction threshold is typically set between 1-10 individuals, representing the minimum viable population size. Very small populations face high extinction risk due to inbreeding, genetic drift, and demographic stochasticity.

How many simulations should I run?

More simulations provide more reliable estimates. 1,000 simulations are usually sufficient for most analyses, while 10,000 provide greater precision for critical conservation decisions or research publications.

What does lambda (λ) represent in population models?

Lambda is the finite rate of population increase. Values less than 1 indicate population decline, while values greater than 1 indicate growth. It's calculated as the exponential of the intrinsic growth rate (λ = e^r).

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