Lecture 17-Populations 3

Lecture 17-Populations 3 - Green-breasted Mango

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Jelly fishing Deep-sea jelly fish were photographed by members of a recent U.S.-Philippines expedition in the Celebes Sea. The Woods Hole Oceanographic Institution and National Geographic Society-led survey trawled up to three miles below the surface in an area that has been isolated over geological time by rising sea levels and may have spawned species not found elsewhere. (AFP/Getty photo / October 16, 2007) http://www.chicagotribune.com/news/nationworld/chi-pod-pix,1,4514127.photogallery? coll=chi_home_promo
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Life Tables Life tables provide a schedule of age- specific mortality and survival
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Life Tables Start with a cohort of organisms (all individuals born at the same time) Track individuals throughout their lives until death Observe trends in mortality
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(Dynamic/Cohort) Life Table—Grey Squirrels X = Age (in years) N x = Number of individuals from original cohort alive at age “x” X N x 0 530 1 159 2 80 3 48 4 21 5 5
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X = Age n x = Number of individuals from original cohort alive at age “x” l x = Probability of surviving to age “x” X n x l x How to get l x 0 530 1.00 n o /n o 530/530 1 159 0.30 n 1 /n o 159/530 2 80 0.15 n 2 /n o 3 48 0.09 n 3 /n o 4 21 0.04 n 4 /n o 5 5 0.01 n 5 /n o
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X = Age n x = Number of individuals from original cohort alive at age “x” d x = Number of individuals that died during any time interval X n x d x How to get d x 0 530 371 n o -n 1 530-159 1 159 79 n 1 -n 2 159-80 2 80 32 n 2 -n 3 80-48 3 48 27 4 21 16 5 5 5
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X = Age n x = Number of individuals from original cohort alive at age “x” d x = Number of individuals that died during any time interval q x = Age-specific mortality rate X n x d x q x How to get q x 0 530 371 0.70 d o /n o = 371/530 1 159 79 0.50 d 1 /n 1 = 79/159 2 80 32 0.40 d 2 /n 2 = 32/79 3 48 27 0.55 4 21 16 0.75 5 5 5 1.00
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Survivorship Curves 3 idealized types: High survival throughout life until heavy mortality at end (Type I) Survival rates do not vary with age (Type II) Extremely high mortality early in life (Type III)
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www.bioinquiry.vt.edu
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Grey Squirrel Fecundity X = Age • b x = Ave. # of females born to females in each age group X b x 0 0 1 2 2 3 3 3 4 2 5 0 Total = 10
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X = Age n x = Number of individuals from original cohort alive at age “x” l x = Probability of surviving to age “x” X n x l x How to get l x 0 530 1.00 n o /n o 530/530 1 159 0.30 n 1 /n o 159/530 2 80 0.15 n 2 /n o 3 48 0.09 n 3 /n o 4 21 0.04 n 4 /n o 5 5 0.01 n 5 /n o
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X l x b x l x b x 0 1.00 0.0 0.00 1 0.30 2.0 0.60 2 0.15 3.0 0.45 3 0.09 3.0 0.27 4 0.04 2.0 0.08 5 0.01 0.0 0.00 Total 10.0 1.40 = R 0 X = Age l x = Probability of surviving to age “x” b x = # females born to females in each age group l x b x = # females born in each group adjusted for mothers’ survivorship (R 0 = sum of l x b x ; = net reproductive rate)
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Lecture 17-Populations 3 - Green-breasted Mango

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