POPULATION ECOLOGY V DEMOGRAPHIC TECHNIQUES I. Life tables: age specific population parameters A. Types of Life Table 1. Cohort life tables - a group of equal-aged individuals is followed through time 2. Static (Stationary, Time specific, Current or Vertical) - based on a cross section of the whole population at a point in time a. Age of death observed b. Age structure directly observed 3. Life table terms a. x = age of the age group b. lx = survivorship of individuals aged x c. dx = number dying in interval x to x+1 d. qx = death rate for individuals aged x qx = dx / lx e. ex = expectation of future life of individuals aged x where ex = Tx/lx and Tx = ∑ Lx and Lx = lx+lx+1/2 II. Survivorship curves - lx vs age A. "types" of survivorship curve 1. Low mortality in early life 2. Constant probability of death at all ages 3. High mortality of young age classes III. Mortality curves qx vs age (same as above) IV. Age specific fecundity - mx The average number of offspring from females aged x NOTE R0 = ∑ lxmx The net reproductive rate is the sum of the product of age specific survivorship and fecundity Va the reproductive value of an individual aged a: Va = era/la ∫ e-rx lxmx Baker et al 1981 Demography of white-crowned sparrows (Zonotrichia leucophrys nuttalli) Ecol 62:636 Emlen 1984 Population Biology: The Coevolution of Population Dynamics and Behavior MacMillan Erickson et al. 2006 Tyrannosaur life tables: An example of nonavian dinosaur population biology Science 313: 213-217. Ostffeld & Keesing 2004 Oh the locusts sang, then they dropped dead. Sci 306: 1488 Palumbi & Kessing 1991 Population biology of the trans-Arctic exchange: MtDNA sequence similarity between Pacific and Atlantic sea urchins Evolution 45: 1970. Perron 1983 Growth, fecundity, and mortality of Conus pennaceus in Hawaii Ecology 64:53-62 Saether et al. 2002. Demographic characteristics and population dynamical patterns of solitary birds. Science 295: 2070. Taylor & Hellberg. 2003. Genetic evidence for local retertion of pelagic larvae in a Caribbean reef fish. Cience. 299: 107.