An ecologist studies three populations within an ecosystem. Each population has an identical intrinsic growth rate (r max = 0.5). The population sizes and carrying capacities are shown in the graph. 1000 900 800 700 600 500 400 300 200 100 ㅇ A Population 1 Size - Carrying capacity What is the growth rate of Population C? Number
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- Compare exponential J-curve growth (line A) to logistic S-curve growth (line B). Explain the conditions under which each might occur in might. ✓ ✓ A Carrying Capacity (K) it Number of Individuals B TimeA population grows according to the logistic model N = 55 1 + 0.9e−1.4t , where t is measured in years and N is measured in thousands. (a) What is r for this population? per year(b) What is the environmental carrying capacity K? thousand(c) This population is subject to harvesting. What is the optimum yield level? thousandASAP
- Based on the equation for logistic population growth, Logistic Growth O A. new Individuals are added most rapidly at low population sizes. This figure displays the equation for logistic population growth and visualizes population growth as a function of time (number of generations) as it approaches carrying capacity. N stands for population size, K stands for carying capacity, and r stands for intrinsic rate of increase. O B. population growth never exceeds K. C. growth rate decreases as N approaches K. D. the population keeps growing when N equals K. K= carrying capacity dN (K-N) dt Number of generations ered MacBook Air F10 F11 吕口 F3 888 F4 F5 F1 F2 $ % & * @ 7 9 2 4 Y P Q W E R F G H K A S D C V N M Z .. * CO B #3 Population size (M)The maximum sustainable yield (MSY) is the highest rate at which a potentially renewable resource can be used indefinitely without reducing its available supply. The idea is to remove individuals while keeping the population at a constant growth rate and size, but to find the size where the harvest is maximized. The greater the growth rate, the more individuals you can remove and not change the population size. Where is the growth rate at its maximum? To find this look at your logistic model simulator. 1. Set up a hypothetical salmon population where the carrying capacity is 20,000 fish, the maximumr is 0.7. According the the maximum sustainable yield (MSY), at what population size should we maintain the salmon while fishing?In a forest in India, there are 800 axis deer and 500 barking deer. The forest can support a maximum of 1,200 barking deer. The competition coefficient of barking deer on the axis deer is 0.25, and the competition coefficient of the reverse pair is 0.5. The intrinsic growth rate of barking deer is 2.0. Based on the Lotka-Volterra model, the population growth rate for barking deer is 416.67 Now, let's see if the two species can coexist in this forest. You are provided with some additional information: the carrying capacity of axis deer is 4,000. Determine if the two species can coexist.
- A colony of aliens reaches planet Earth in 3000 BC and set up a base in Antarctica. If their initial population is 100 and their specific growth rate is 0.02263/year and their yieid coefficient is 0.85, then in what year (AD) will they start to outcompete humans for resources negiecting resource and logistic growth limiting effects? Assume the human population 3000 BC is 50 million, the human yield coefficient is 0.75 and the human specific growth rate is 0.02/year. Answer: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.In logistic growth, large values of r (e.g., >3) can cause the population size to stay greater than K for multiple generations briefly exceed K but then stabilize at K thereafter never increase beyond the initial number fluctuate chaotically gradually approach K and then stabilize at K thereafter
- Two alien species compete for resources on a planet far far away. Their initial populations are 100 and 1000 and their specific growth rate is 0.02263/year and 0.02/year and their yield coefficient is 0.95 and 0.85 respectively. When the first species begins to consume more than 50% of the resources the other population will be inevitably be annihilated. How many years does it take for this to occur? Answer:For the mathematical model of population growth below, match the equation variables with their correct interpretation. N₁ = Nort t r NO Nt | Unit of time that the growth rate is based on Projected population number Growth rate of the species Initial population numberExponential vs Logistic Growth 1200 A 1000 00 600 400 200 02 46 10 12 14 16 18 20 22 24 Year/Generation 26 28 30 1-Which of the two curves exhibits exponential growth? 2-Which of the two curves exhibits logistic growth? 3-Which of the two curves is most likely to occur under natural conditions? 4-What is the carrying capacity of this graph? 5-In what generation does the green population reach its carrying capacity? _ 6-Which population curve would only occur under ideal (perfect) conditions? 7-What do we call factors that stop a population from growing out of control? 8-During which years did graph B show exponential growth? Number of Individuals