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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 slowerSeveral years ago wolves were reintroduced in to a national park in North Carolina. Researchers have monitored the populations over the last several years and the per capita growth rate of the population is .5. If the current population size is 100, what equation would you use to determine how large the population will be in ten years? O N(1+r)* N/t *r O (N*r)/tWhen does the growth rate of a population following the logistic model equal zero?the logistic model is given as dN/dt = rN (1-N/K)
- Write 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.Suppose there are two different populations of deer that grow exponentially over a period of 20 years. One population has a growth rate (r) of 0.44, and the other population has a growth rate (r) of 0.46. Is the statement below true or false? There will not be much difference in the size (N) of these two populations after 20 years of exponential growth. True O False MacBook Pro G Search or type URL &1 3- LCA few plant-eating salamanders manage to float on a log to a large island in the Pacific that did not have any other salamander species previously. The salamanders find the island has abundant plants for food and no predators. On average, a salamander has four offspring per year and lives for one year. Refer to the equation for the logistic growth model if you were modeling salamnder population growth with this logistic growth equation, during the first few years, a) N<K b) N=K c) N>K d) there is no relationship between N and K
- A population of Giant armadillo, an endangered species found in South America, increased in numbers from 152 to 174 from 2001 to 2006. The per capita growth rate for the armadillo population is ? (three decimal places)The life table below is for a species of lizard. Use it to answer the questions below. It can be copied and pasted in excel or downloaded here. What is the intrinsic rate of increase of this population? nx bx 678 1 102 31 3 19 10 4 14 12 5 12 12 6 10 14 7 10 10 8 8 11 9 7 10 1.89 0.053 O 1.32 0.51The 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.
- S2) Below are two tables showing the population size and deaths by age for one year in the states of Louisiana (LA) and Florida (FL). Use the data to answer the following questions. You may use the blank cells in the tables for calculations and to show answers Age group 0-15 16-70 71+ Louisiana Deaths 30 215 585 Florida Age group Deaths 0-15 16-70 71+ 25 400 725 Population 165,000 300,000 75,000 Population 90,000 435,000 225,000 a. Calculate the overall crude mortality rates for LA and FL expressed as per 100,000 population. LA: FL: b. Calculate the age-adjusted mortality rates using the combined population as the standard. c. Explain what accounts for this difference in crude rates and adjusted rates between LA and FL.ASAPA continuously growing population of bears has a population size of 500 and its intrinsic rate of increase is 0.07 per year. Assuming that this rate of increase remains the same, about how long should it take for the population to reach 1,000? (Note: “e” is about 2.7 and the natural logarithm of 2 is about 0.70).