Biology
5th Edition
ISBN: 9781260487947
Author: BROOKER
Publisher: MCG
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Chapter 56, Problem 2CQ
Summary Introduction
To calculate: The population growth using the logistic equation.
Introduction: populations follow a specific growth pattern depending on the environment. When the resources are abundant, exponential growth is seen. In the case of limited resources, a
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- Show how you build the logistic model for population growth from the exponential model equation? What part of the logistic growth equation produces the sigmoidal growth curve?arrow_forwardThe per capita birth (b) and death (d) rates are measured for two populations across a range of population sizes in the attached figure. The equation for exponential growth rate is dN/dt=rN where the per capita growth rate is r=(b-d). The equation for logistic population growth rate is dN/dt=rN(1-N/K). With logistic growth, r varies as a function of the population size with density-dependent birth and/or death rates. See attached image If the death rate decreased, what would happen to the population trajectory for population A? a) increase faster b) increase slower c) decrease faster d) decrease slowerarrow_forwardWhat is the major difference between the geometric population growth equation and the exponential population growth equation and when would you use one over the other?arrow_forward
- Explain the differences between equations for exponential population growth, logistic population growth, and Lotka-Volterra models for competition. Illustrate how and explain why these equations yield different trends?arrow_forwardIn the logistic model of population growth what are N and K and what happens if N>K and explain why. Ho w is the population growth affected if N=K?arrow_forwardUse this graph of the idealized exponential and logistic growth curves to complete the following. a. Label the axes and curves on the graph.b. What does the dotted line represent? c. For each curve, indicate and explain where population growth is the most rapid. d. Which of these curves better represents global human population growth?arrow_forward
- Which set of values for the intrinsic rate of increase, finite rate of increase, and net reproductive rate could describe the same growing population? (Note: you should not need to do any math to figure this one out. Just think through general interpretations of each parameter) Or = -0.14, A = 0.87, RO = 0.5 r = 3.0, A = 0.22, RO = 0.5 r = 0.22, A = 1.25, RO = 3.0 %3! r = = 0.22, A = -0.14, RO = 0.5arrow_forwardWrite a model for discrete population growth from t=0 to t=1. Assume that the population is ‘closed’. Define your terms.arrow_forwardThe growth rate of a population per unit of time is calculated by using this formula: G = r x N. What is the quantity r and how is it calculated?arrow_forward
- What does the growth rate of 0.7 mean in relation to r=(birth-death)+(immigration-emigration) What does the growth rate of 1 mean in relation to r=(birth-death)+(immigration-emigration) What happens to the population when r is greater than 1? What happens to the the population when r is equal to 1? What happens to the population when r is less than 1? Provide and explain the factors that lead to each type of distributions.arrow_forwardExpress the logistic population growth by equation.arrow_forwardThe curve below shows the growth rate of a population that has a per capita growth rate of 0.4. Which of the following is true about this curve. More than one is possible. exponential growth 2500000 2000000 1500000 1000000 500000 0 5 10 15 20 25 Select one or more: Ua. r becomes greater as the population grows because there are more births per year. b. There are more births per generation as you move right on the graph c. exponential growth is most often observed in stable populations that have resided in an environment for a long time. Od. The slope of the curve changes continuously as you move to the right even though r remains the same.arrow_forward
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