4. The carrying capacity of the environment with respect to any population is the maximum number of individuals that can be supported. What do you think are the carrying capacities for these species' populations? Draw horizontal lines on the graph indicating this for each species' population. Adjust your figure legend. 5. Assuming the original 10 organisms grew exponentially, doubling in size with every unit of time, calculate the population size from to to t and draw the position of this curve on your graph. Adjust your figure legend.
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please answer at least question 4 or 5 rather than answering none.
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- Write the BIDE dynamics equation, where the left side of the equation is Nt+1. Realizing you are working with a closed population, put an “X” through the terms you will not need to consider to understand population growth of a species.The northern hairy-nosed wombat has experienced historical population declines, though population have stabilized recently due to conservation efforts. While studying them researchers noticed the following fluctuations in (effective) population size: Year 1: 100 individuals Year 2: 90 individuals Year 3: 50 individuals Year 4: 75 individuals Year 5: 90 individuals Year 6: 95 individuals A. Given this information what is the long-term effective population size of this particular population over the six years? B. Assume that at the start of the study the researchers determined heterozygosity for this population to be 0.63 at microsatellite loci. What would you expect the heterozygosity to be at the end of the six years? (Answer part B)INTERPRET DATA Examine the top and middle graphs in Figure 54-5. Are these examples of exponential or logistic population growth? Where is K in each graph? (You may need to refer to Chapter 53 to answer these questions.) RESULTS AND CONCLUSION: The top and middle graphs show how each species of Paramecium flourishes when grown alone. The bottom graph shows how they grow together, in competition with each other. In a mixed culture, P. aurelia outcompetes P. caudatum, resulting in competitive exclusion. SOURCE: Adapted from G.F. Gause, The Struggle for Existence (Williams and Wilkins, Baltimore, 1934). Figure 54-5 G.F. Gauses classic experiment on interspecific competition
- In a particular population of Paramecium species, 30 Paramecia were found in 4 mL of sample pond water. At another location, 85 Paramecia were found in 40 mL of sample pond water. What is the change in density of the Paramecium species? Express your answer rounded to two decimal places.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?You are studying the population dynamics of an algae species that recently invaded a lake. You measured the amount of algae in the lake the time of the invasion and then for six years afterward (shown in green dots below). You also conducted experiments showing there are enough nutrients entering this lake to support a population density of 200 cells per mm- of algae, marked below as a dashed orange line labeled K. Based on your data, you want to predict how large the algae population will be in the future, assuming no major environmental fluctuations. Here, population density can be modeled in the same manner as population size. 1. what would you assume the algae population density will be 20 additional years in the future, assuming no environmental changes occur? __cells/mm^2
- The type of growth that occurs in a population that grows by a constant percentage per year is________ . Does this form of growth add the same number of individuals each year?_______ What shape of curve is generated if this type of growth is graphed?______ Can this type of growth be sustained indefinitely?______In a closed system, a pair of houseflies is provided with a garbage can full of food waste. Which of the following graphs describes the growth of housefly population?Contrast exponential and logistic (= sigmoid) growth of a population. Under what conditions might you expect a population to exhibit ex-ponential growth? Why can exponential growth not be perpetuated indefinitely?
- 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?Consider a metapopulation of iguanas inhabiting a chain of small islands off the coast of South America. In year 1, there are iguanas on 15 of the 60 islands. The probability of a given empty island being colonized in a given year is 0.11, and the probability of the population going extinct on any particular occupied island in a given year is 0.12. In year 1, what will be the rate of change in the proportion of islands occupied by iguanas, based on the Levins metapopulation model? Determine the number of islands that should be occupied when the metapopulation reaches equilibrium. Should this metapopulation go extinct, or should it persist? How do you know?. Draw a species accumulation curve for the beetles in Area C3, based on the data shown in Table 2. Ensure that you calculate a standard deviation around each average number of species per sample; plot this on this figure. Make sure you label the axes and that you provide a legend. You will need to reassemble the samples in all possible combinations in order to derive the species area curve (provided)