Loose Leaf For Integrated Principles Of Zoology
18th Edition
ISBN: 9781260411140
Author: Cleveland P Hickman Jr. Emeritus, Susan L. Keen, David J Eisenhour Professor PhD, Allan Larson, Helen I'Anson Associate Professor of Biology
Publisher: McGraw-Hill Education
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Chapter 38, Problem 7RQ
Contrast exponential and
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The 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 slower
Write a generalized model for exponential population growth. Define your terms. Then,
draw a plot showing an example, being sure to label your axes.
The following equation is used to calculate the population growth rate, Ro, per generation from a life
table. Iy is survival probability from birth to age x and my is fecundity at age x.
Ro = Elkm
Multiplying ly and my and summing it over all age categories in the life table gives the population growth
rate per generation because:
Calculating the reproductive output for each age class requires considering the survival probability to
that age (a dead individual does not reproduce) and the fecundity at that age by multiplying them
with each other. Summing over reproductive output for all age classes gives the total per capita
growth rate of the population
The fecundity at each age is lower when the survival is higher because of energy constraints.
Multiplying probability of survival and fecundity in each age class takes this trade-off into account.
Summing over reproductive output for all age classes gives the total per capita growth rate of the
population
The resulting type of growth…
Chapter 38 Solutions
Loose Leaf For Integrated Principles Of Zoology
Ch. 38 - The term ecology is derived from the Greek meaning...Ch. 38 - Prob. 2RQCh. 38 - Prob. 3RQCh. 38 - Define the niche concept. How does the realized...Ch. 38 - Populations of independently living (unitary)...Ch. 38 - Prob. 6RQCh. 38 - Contrast exponential and logistic (= sigmoid)...Ch. 38 - Growth of a population can be hindered by either...Ch. 38 - Herbivory is beneficial for the animal (+) but...Ch. 38 - Prob. 10RQ
Ch. 38 - Define predation. How does the predator-prey...Ch. 38 - Prob. 12RQCh. 38 - Prob. 13RQCh. 38 - What is a trophic level, and how does it relate to...Ch. 38 - Define productivity as the word is used in...Ch. 38 - Prob. 16RQCh. 38 - What conditions produce an inverted pyramid of...Ch. 38 - Prob. 18RQCh. 38 - Prob. 19RQCh. 38 - What do paleontological studies show about the...Ch. 38 - Prob. 1FFT
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- Draw a graph with a growth curve for a population that starts at 10 individuals and experiences exponential growth. Draw a second graph with a growth curve for a population that starts with 10 individuals and undergoes logistic growth. The second graph should have a carrying capacity of 100 individuals. Please give a proper written explanation for the graphs.arrow_forwardWhich 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 generalized model for exponential population growth. Define your terms. Then, draw a plot showing an example, being sure to label your axes. Write a formula that extends the preceding model to incorporate carrying capacity, producing sigmoidal population growth. Define your terms. Then, draw a plot showing an example, being sure to label your axes.arrow_forward
- What is shown in the graph? A) B) D) 40,000 Population exponential decay of a population exponential growth of a population arithmetic progression of a population an inverse relation between time and population Time 10 hrarrow_forwardWrite a model for discrete population growth from t=0 to t=1. Assume that the population is ‘closed’. Define your terms.arrow_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
- Two stable populations employ the same fertility schedule, but different mortality schedule. In both populations, 20% of women between exact ages 45-55 bear a female child annually. No child bearing occurs outside this span. In population A, there is no mortality until age 100 where all who reached age perish. In population B, 1% of each cohort dies within each single year of age with no survivors beyond age 100. Compute GRR, GRR and r for each population. ii) Determine the birth and death rate of each. Sketch the age distribution of each.arrow_forwardHeparin is a blood-thinning drug (prevents coagulation). Heparin is broken down by the liver, and has a half-life of 1.4 hours in the body. What type of mathematical model is immediately implied by the term 'half-life'? Exponential growth Exponential decay Logistic growth Logistic decayarrow_forwardFor exponential growth to occur in a population, the constant. This is unlikely if the population density approaches the of the environment. has to bearrow_forward
- 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_forwardA population with three life-stages separated by 3 years is modelled by a Leslie matrix, resulting in these predictions. The x-axis shows the number of time steps in the vector dynamics from the Leslie matrix multiplication. How many years before the long-term dynamics take over? a) 0 b) 2 c) 5 d) 15 What is the long term prediction for this population? a) decreases to zero b) anything could happen c) increases to infinity d) stable If the population started with many more animals and in different proportions from each life stage, would the prediction be the same or different? If the population started with many more animals and in different proportions from each life stage, in the long term dynamics what would be the ratio of newborns (stage 1) to youths (stage 2) to adults (stage 3). a) about 1 to 1 to 1 b) about 4 to 2 to 1 c) about 6 to 3 to 1 d) no way to judgearrow_forwardRegarding the population growth of Canada geese, which of the following statements is most likely true? O The population is increasing at a constant rate with time. O If modeled geometrically, A should be greater than 0, because the population is increasing. If modeled exponentially, r should be greater than 0, because the population is increasing. O None of the above statements is true.arrow_forward
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