Population Dynamics: Exponential and Logistic Growth Models - Prof. Alice A. Winn, Study notes of Biology

Download Population Dynamics: Exponential and Logistic Growth Models - Prof. Alice A. Winn and more Study notes Biology in PDF only on Docsity! 4. Effects of population structure on dynamics a. Sex ratio b. Age structure c. Life tables d. Life history 1) Survivorship patterns 2) Age-specific birth rates 3) Life history diversity Ecology the study of the distribution and abundance of organisms dN/dt = r N [(K - N)/K] For: r=0.1 K=100 if N = 10 dN/dt = .1 (10) [(100 - 10)/100] = .1 (10) (.9) = .9 if N = 99 dN/dt = .1 (99) [(100 - 99)/100] = .1 (99) (.01) = .099 Fig. 52.11 The patterns of exponential and logistic population growth What do I need to know about these models? Exponential Logistic Pattern: J-shaped S-shaped Equation*: dN/dt = rN dN/dt = rN[(K-N)/K] Assumptions: -growth rate constant growth rate decreases with pop size -unlimited env. carrying capacity * Know what each term means and how changes in the terms affect the pattern of population growth. Fig. 52.3 @ 4 000 —_ S So L Number of survivors (log sca ol, So L ok | 0 50 100 Percentage of maximum life span Copyright @ Pearson Education, inc. publishing as Benjamin Gummings. Variation in life history among plants Live long, reproduce once and die Live not so long, reproduce early Live long, begin reproduction late