Cohort Life Expectancy Calculator

Formula

The formula to calculate the Cohort Life Expectancy is:

\[ LE = \frac{\sum (P_x \cdot x)}{N} \]

Where:

\(LE\) is the Cohort Life Expectancy
\(P_x\) is the probability of survival at age \(x\)
\(x\) is the age
\(N\) is the total number of individuals in the cohort

What is Cohort Life Expectancy?

Cohort life expectancy is a measure used in demography and public health to estimate the average number of years a group of individuals (cohort) is expected to live. This measure takes into account the probability of survival at different ages within the cohort and provides a comprehensive view of the overall life expectancy for that group. It is particularly useful for understanding the long-term health and survival trends of specific populations, such as those born in a particular year or those exposed to certain environmental factors.

Example Calculation

Let's assume the following values:

Probabilities of Survival (P_x) = 0.9, 0.8, 0.7
Ages (x) = 10, 20, 30
Total Number of Individuals (N) = 100

Using the formula:

\[ LE = \frac{(0.9 \cdot 10) + (0.8 \cdot 20) + (0.7 \cdot 30)}{100} = \frac{(9) + (16) + (21)}{100} = \frac{46}{100} = 0.46 \]

The Cohort Life Expectancy is approximately 0.46 years.