Veit and Lewis Am. Nat. 148(2):

Allee Effect & Demographic Stochasticity? At each time step, 50% chance of birth, 50% chance of death Time 1 0

Allee Effect & Demographic Stochasticity What is mean lambda for an infinitely large population? 1 because MM mates with FF. What is mean lambda for population size = 2? 0.5 because MM and FF do not mate. At each time step, 50% chance of male, 50% chance of female Each breeding pair produces two offspring, then die. M,M M,F F,M F,F M,F

Sea Turtle Management Eggs, Hatchlings Novice Breeders Juveniles Mature Breeders Sub-Adults

Sea Turtle Management Eggs, Hatchlings Novice Breeders Juveniles Mature Breeders Sub-Adults

Snow Goose Management Eggs, Hatchlings Juveniles Breeders (Age > 2)

Deaths l x = f x / f 0 d x = l x - l x+1 q x = d x / l x

Survivorship Graphs

Births Mean number of female (or reproductive) offspring produced per female (or reproductive) individual. Represents mean offspring produced for females that have survived to year “x”. Agebxbx 0 (to 1)0 1 (to 2)1.1 2 (to 3)3.5 3 (to 4).7

Births What would the birth schedule look like for Pacific salmon? Agebxbx 0 (to 1) 1 (to 2) 2 (to 3) 3 (to 4)

Births What would a possible birth schedule look like for Pacific salmon? Agebxbx 0 (to 1)0 1 (to 2)0 2 (to 3)0 3 (to 4)1000

R0R0 “Net reproductive rate” Mean number of female offspring produced per female over her lifetime Mean number of reproductive offspring produced per reproductive individual over its lifetime

Can We Calculate R 0 From b x Mean number of female offspring produced per female golden lion tamarin. Agebxbx 0 (to 1)0 1 (to 2)1.1 2 (to 3)3.5 3 (to 4).7

Can We Calculate R 0 From b x Mean number of female offspring produced per female golden lion tamarin. NO! Represents mean offspring produced for females that have survived to year “x”. Agebxbx 0 (to 1)0 1 (to 2)1.1 2 (to 3)3.5 3 (to 4).7

R0R0

Calculate R 0 for a population of tamarins in which 50% of the females survive to the breeding season each year, starting one year after birth, and then produces 6 offspring (3 females) per year. This continues until the end of their 3 rd breeding season, at which time all survivors die of old age. xlxlx bxbx lxbxlxbx R0R0

Calculate R 0 for a population of tamarins in which 50% of the females survive to the breeding season each year, starting one year after birth, and then produces 6 offspring (3 females). This continues until the end of their 3 rd breeding season, at which time all survivors die of old age. xlxlx bxbx lxbxlxbx R0R0

Calculate R 0 for a population of tamarins in which 50% of the females survive to the breeding season each year, starting one year after birth, and then produces 6 offspring (3 females). This continues until the end of their 3 rd breeding season, at which time all survivors die of old age. xlxlx bxbx lxbxlxbx R0R0

Calculate R 0 for a population of tamarins in which 50% of the females survive to the breeding season each year, starting one year after birth, and then produces 6 offspring (3 females). This continues until the end of their 3 rd breeding season, at which time all survivors die of old age. xlxlx bxbx lxbxlxbx R0R0

Calculate R 0 for a population of tamarins in which 50% of the females survive to the breeding season each year, starting one year after birth, and then produces 6 offspring (3 females). This continues until the end of their 3 rd breeding season, at which time all survivors die of old age. xlxlx bxbx lxbxlxbx R 0 =2.625

Growth Rates Population increases if r > 0, lambda >1, R 0 > ? Population is constant if r = 0, lambda =1, R 0 = ? Population declines if r < 0, lambda < 1, or R 0 < ?

R 0 vs. λ R 0 defines population growth per generation. λ defines population growth for a given time step. R 0 = λ where 1 time step = 1 generation.

Mean Generation Time (G) and r Mean age of all reproducing females Mean age of mothers of all newborn females Mean time between birth of a mother and all her offspring