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  1. Scientists in Amazon jungle want to find the best estimate
    for the African lion population. They tagged and released 20
    African lion as part of a research project. Later, they found
    160 African lion, 8 of which were tagged? Find the best
    estimate of population?

Ask by Lindsey Whittaker. in the United States
Mar 28,2025

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The best estimate of the African lion population is 400.

Solución

  1. Let the total population of African lions be .
  2. In the first step, scientists tagged and released 20 lions.
  3. Later, a sample of 160 lions was observed, and 8 of them were found to be tagged.
  4. Using the capture-recapture method, we assume that the proportion of tagged lions in the sample is approximately equal to the proportion of tagged lions in the whole population. This gives us the equation:
    Plugging in the values:
  5. Simplify the right-hand side:
  6. Now we have:
  7. Solve for by cross-multiplying:
  8. Therefore, the best estimate of the African lion population is .

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Bonus Knowledge

To estimate the lion population, you can use the capture-recapture method. You initially tagged and released 20 lions. Later, you found a total of 160 lions, with 8 being tagged. The equation goes like this: (Number of tagged lions in the second sample / Total number of lions in the second sample) = (Number of tagged lions in the first sample / Estimated total population). Plugging in the numbers: , where X is the estimated population. Solving for X gives you about 400 as the best estimate of the African lion population!
Remember, this method assumes perfect mixing and equal chance of capture, which might not always be the case. It’s a good idea to consider factors like lion mobility and environmental conditions, as they can affect the accuracy of your estimates!

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