Quantifying functionals of age distributions in the wild by solving an operator equation

Area of Science:

• Ecology
• Population Biology
• Demography

Background:

• Understanding the age structure of wild populations, particularly insects, is crucial for ecological studies.
• Traditional demographic methods often require strong assumptions like population stability, which are difficult to meet in wild settings.

Purpose of the Study:

• To develop a novel method within residual demography for estimating age distribution functionals in wild populations.
• To specifically derive the mean age of wild populations by combining data from captive and reference cohorts.
• To provide a flexible approach that avoids assumptions of population stationarity or stability.

Main Methods:

• Development of an operator equation to derive functionals of the age distribution.
• Integration of data from a captive cohort (wild-caught individuals raised in the lab) and a reference cohort (lab-bred individuals).
• Application of the method to estimate the mean age of wild mosquito populations using seasonal data.

Main Results:

• Characterization of the existence of a solution to the operator equation, yielding the desired demographic functional (e.g., mean age).
• Demonstration of the method's straightforward implementation and ease of use.
• Successful application to estimate the mean age of wild mosquitoes in Greece across different seasons.

Conclusions:

• The proposed residual demography approach provides a powerful and practical tool for estimating key demographic parameters in wild populations.
• This method overcomes limitations of traditional approaches by relaxing assumptions about population dynamics.
• The technique is broadly applicable to various wild populations, especially insects, aiding ecological research and management.