Download Population Growth - Ecology - Lecture Slides and more Slides Ecology and Environment in PDF only on Docsity! 10 11 PHLOX WHOOPING CRANES Population Growth N = f (B, D, I, E) Docsity.com 0
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1) Pulsed Reproduction 2) Non-Overlapping Generations 1) Continuous Reproduction 2) Overlapping Generations GEOMETRIC GROWTH Exponential Growth λ r Docsity.com Geometric Growth • Non-Overlapping Generations • Reproduction is Pulsed λ: Geometric Rate of Increase λ < 1: λ = 1: λ > 1: Exponential Growth • Overlapping Generations • Reproduction is Continuous r: Per Capita Rate of Increase r < 0: r = 0: r > 0: Docsity.com Geometric Growth: Calculation of Geometric Rate of Increase (λ) λ = Nt+1 ______________ N t Docsity.com STEADILY INCREASING POPULATIONS Non-Continuous Reproduction (Geometric Growth) Fig. 11.3 in Molles 2006 Nt = No λt Docsity.com Problem A: The initial population of an annual plant is 500. If, after one round of seed production, the population increases to 1,200 plants, what is the value of λ? Docsity.com Problem B. For the plant population described in Problem A, if the initial population is 500, how large will be population be after six consecutive rounds of seed production? Docsity.com dN dT UNLIMITED POPULATION GROWTH B Exponential Growth (Rate of Population Growth) dN ___ dT = Rate Docsity.com Fig. 11.6 in Molles 2006 EXPONENTIAL POPULATION GROWTH: Rate of Population Growth dN ___ dT dN ___ dT dN ___ dT Docsity.com dN __ dT = rmax N EXPONENTIAL POPULATION GROWTH: Rate of Population Growth Intrinsic Rate of Increase Population Size Rate of Population Growth Docsity.com Problem D. Suppose that the worldwide population of whooping cranes, with initial population of 22 birds, is increasing exponentially with rmax = .0012 individuals per individual per year . How large will the population be after 100 years? After 1000 years? Docsity.com Problem E. How many years will it take the whooping crane population described above to reach 1000 birds? LN(AB) = LN(A) + LN(B) LN(A/B) = LN(A) – LN(B) LN(AB) = B LN(A) LN(e) = 1 ----------------------------------------------------------------------------------------------------------- Docsity.com Problem F. “Doubling Time” is the time it takes an increasing population to double. What is the doubling time for the whooping crane population described above? Docsity.com LOGISTIC GROWTH: Rate of Population Change Fig. 11.11 in Molles 2006 Docsity.com N T Carrying Capacity (K): Sigmoid Curve: 82 LOGISTIC GROWTH: Carrying Capacity Docsity.com Figs. 11.11 in Molles 2006. (Logistic Population Growth) LOGISTIC GROWTH: Rate of Population Change dN ___ dT Docsity.com
