Monday, November 28, 2011

Population Life Tables

A life table is a record of survival and reproductive rates in a population, broken out by age, size, or developmental stage (e.g., egg, hatchling, juvenile, adult). Ecologists and demographers (scientists who study human population dynamics) have found life tables useful in understanding patterns and causes of mortality, predicting the future growth or decline of populations, and managing populations of endangered species. Types of life tables include:

  • Age-specific, Cohort, or Dynamic life tables: data are collected by following a cohort throughout life. This is rarely possible with natural populations of animals. 
  • Static or time-specific tables: age-distribution data are collected from a cross-section of the population at one particular time or during a short segment of time, such as through mortality data.
  • Composite tables: data are gathered over a number of years and generations using cohort or time-specific techniques. This method allows the natural variability in rates of survival to be monitored and assessed. 
So, why do we care about life tables? The main value of a life table lies in what it tells us about the population's strategy for survival. So, life tables help us to understand the dynamics of populations. For example, time-specific life tables are valuable to a manager of exploited populations because they show the existence of strong year classes or help identify weak age classes.

Here is an example of a population life table for a Darwin finch: 

Life table for one Darwin finch, the Galapagos cactus finch (Geospiza scandens)*
age class**
(x)
probability of surviving to age x 
(lx)
average number of fledgling daughters (mx)product of survival and reproduction (Σlxmx)
  01.00.0        0.0
  10.5120.364        0.186
  20.2790.187        0.052
  30.2791.438        0.401
  40.2090.833        0.174
  50.2090.500        0.104
  60.2090.833        0.174
  70.2090.250        0.052
  80.2093.333        0.696
  90.1390.125        0.017
100.0700.0        0.0
110.0700.0        0.0
120.0703.500        0.245
130        —
R0 = 2.101
Net reproductive rate = R0 = Σlxmx = 2.101
Mean generation time = T = (Σxlxmx)/(R0) = 6.08 years
Intrinsic rate of natural increase of the population = r = approximately 1nR0 / T = 2.101/6.08 = 0.346

No comments:

Post a Comment