🔬general biology i review

Lincoln-Petersen formula

Written by the Fiveable Content Team • Last updated September 2025
Written by the Fiveable Content Team • Last updated September 2025

Definition

The Lincoln-Petersen formula is a method used in ecology to estimate the size of wildlife populations. It involves capturing a sample of individuals, marking them, releasing them back into the population, and then recapturing another sample to see how many marked individuals are present. This technique helps researchers understand population dynamics, which is crucial for effective conservation and management strategies.

5 Must Know Facts For Your Next Test

  1. The Lincoln-Petersen formula is mathematically expressed as $$N = \frac{(M \times C)}{R}$$, where N is the estimated population size, M is the number of marked individuals, C is the total number of individuals captured in the second sample, and R is the number of recaptured marked individuals.
  2. This method assumes that marked individuals mix evenly back into the population after release and that there are no significant changes in the population size between captures due to births, deaths, immigration, or emigration.
  3. The accuracy of estimates obtained using the Lincoln-Petersen formula can be influenced by factors such as capture efficiency and the time interval between marking and recapture.
  4. This formula is particularly useful for studying small to medium-sized populations where individual identification is feasible.
  5. The Lincoln-Petersen formula can be adapted for open populations with variations that account for births and deaths occurring during the study period.

Review Questions

  • How does the Lincoln-Petersen formula contribute to our understanding of wildlife population dynamics?
    • The Lincoln-Petersen formula provides a systematic approach to estimating wildlife population sizes, allowing ecologists to monitor changes in populations over time. By capturing and marking individuals, researchers can assess not just current population sizes but also trends in recruitment and mortality rates. This information is vital for conservation efforts as it helps identify whether a species is thriving or declining in its habitat.
  • What assumptions must be met for the Lincoln-Petersen formula to yield accurate population estimates?
    • For the Lincoln-Petersen formula to provide reliable estimates, several key assumptions must be satisfied. Firstly, it assumes that marked individuals mix randomly back into the population. Secondly, there should be no significant changes in population size due to births, deaths, immigration, or emigration during the study period. Lastly, captures must be independent events; that is, marked individuals should have no greater or lesser chance of being recaptured than unmarked individuals.
  • Evaluate the strengths and limitations of using the Lincoln-Petersen formula in ecological studies.
    • The Lincoln-Petersen formula has several strengths, including its simplicity and effectiveness for estimating population sizes of certain wildlife species. It provides quick insights that can inform management decisions. However, its limitations include reliance on specific assumptions that may not hold true in all situations. For example, if marked individuals do not mix evenly or if significant demographic changes occur between sampling events, estimates may be inaccurate. Additionally, this method may not be suitable for large or elusive populations where individual marking is challenging.