A) A population of 25 animals is growing exponentially, and the population has a growth rate of 0.7. How big would the population be after 5 years? B) What's the difference between exponential and logistic growth?
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- During what phase of the growth curves in each diagram is the population just beginning to colonize an area? (C) a) Which type of population growth appears to continue unchecked? b) The growth curves in the Model are often referred to using the letters of the alphabet they resemble. The logistic growth curve is sometimes referred to as an S-curve. What letter would you use to describe the exponential growth curve? c) What causes the population to slow down during logistic growth? d) The maximum population an environment can sustain is affected by environmental factors that cause the population to level out or become stable. What term is used to describe this level of logistic growth? Diagram A-Exponential Growth Curve Population Numbers Exponential growth Lag phase Time Population Numbers Diagram B-Logistic Growth Curve Lag phase Time Carrying capacity (K) Pressure begins due to environmental resistanceWhat 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?1.) At approximately what year did the human population enter an exponential growth phase? 2.) Prior to that time, what was the approximate carrying capacity of Earth? 3.) State three significant technological developments that have acted to increase the carrying capacity of Earth’s environment since that time. 4.) Provide two examples of density-dependent factors that are contributing to or have the potential to contribute to environmental resistance in human populations.
- You monitor the white-tailed deer population for the Wright State campus and woods and estimate 14 deer in the first year and 21 deer in the second year. (A) Assume the deer population is growing geometrically. Based on these data, what is geometric growth rate constant (A)? (B) Geometric growth patterns can also be modeled exponentially. If modeled exponentially, would you expect the exponential growth rate constant () to be greater than, less than, or equal to 0? Why? You monitor the deer population for many years. The population grows for a few more years, then seems to stabilize around 75 deer. (C) Given this information, what would be a more appropriate model for the deer population growth? Why? (D) What factors might be limiting the population growth? Would these factors be considered density-dependent or density- independent factors? Why? it is equal to zero. The correct answer is not displayed for Written Response type questions. Hide Feedback (A) Check geometric growth…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.Below is the output of several different models that Caterpillar has built to predic next quarter sales. Model A (3): Weather, recent quarter sales, housing starts Model B (3): Interest rates, worldwide GDP, housing starts Model C (3): Weather, worldwide GDP, housing starts Which model is the optimal combination of explanatory variables a) A b) B (c) C Caterpillar predicting Next Quarter Sales d) D R² R² adj 0.56 0.69 0.59 0.58 0.58 0.57
- The three types of curves are also described as: early loss, late loss, and constant loss. Propose an organism that would have a Type 2 curve. Defend your choice by describing this animal's life pattern using the data and growth curve as a guide. (If you are really stuck, use google to look up survivorship curves)Use 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?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?
- 5a. On the following figure to the right, correctly label the name of the population growth pattern that the red line and the blue line demonstrates. 5b. Match the following growth equations to the growth curve by drawing a line between the equation and the curve or placing the name of the growth pattern next to the equation. dN (K-N) rN -- dt K dN = rN dT %| Time (t) → 5b. What does K in this figure represent? How and why do population growth rates change as the population nears K? Population size (N)Question 1) Answer yes or no to the following questions. Scenario (A) A researcher uses a model from a long term study of birth and death rates from the wild population to suggest that a population of 136 animals will go extinct within 100 years. Using 10,000 stimulations, he finds that the population went extinct in 9,547 of them. Select the true statements below. a) Is the minimum viable population size 136. b) is the model stochastic. c) Does the model include uncertainty in the population's trajectory. d) Does the population have at least a 95% chance of persisting for 100 years. e) Is it true that the only way to prevent extinction is to reduce adult mortality Scenario (B) It is argued that African giraffes should be listed under the US Endangered Species Act as they have a global population of just 70,000 individuals, and are threatened by poaching. Select the true statements below. a) Inbreeding is likely to be a serious problem for the current population of giraffes. b) Listing…A population that grew in close relation to the amount of resources available in the environment, would experience A. exponential growth, such as shown on the J-shaped curve B. logistic growth, such as shown on the S-shaped curve C. unpredictable growth, such as shown on the ?-shaped curve D.logistic growth, such as shown on the J-shaped curve E. exponential growth, such as shown on the S-shaped curve