Population Dynamics AssignmentName: ________________________14.1 Characteristics of PopulationsDefinitions to write out: population, dispersion (clumped, random, uniform), quatrat sampling, mark recapture, population size and densityQuestions (write out complete responses)1. The number of yeast in a large vat can be determined by a quadrat sampling method. The quadrat, in this case is a pipet which samples 1.0 mL (0.0010L). The yeast are then counted using a microscope. Five samples are taken from the vat, and yeast count estimates of 982, 837, 1023, 915, and 1064 are recorded. Estimate the number of yeast in the 29 L vat.2. In a river in Ontario, 270 Atlantic salmon were captured and fin-marked with a numbered T-bar anchor tag. Two weeks later, a total of 112 Atlantic salmon were recaptured, and 11 carried the T-bar anchor tags. Estimate the Atlantic salmon population in this river during this study. 3. A small garden pond contains 38 goldfish at the beginning of the summer. There is noreproduction, but during the summer 15 are eaten by raccoons and the garden-owner adds 20 from the pond supply store. Full solutions are required. Determine the population size at the end of the summer. Determine the growth rate of the population overthe summer.1. Answer: 2.8 x 10 7yeastAnswer: The river held 2749 Atlantic salmon during the 2-week study3. Answer: the population size at the end of the summer is 43 fish and thepopulation has a growth rate of 13%.14.2 Measuring and Modeling Population ChangeDefinitions to write out: carrying capacity, biotic potential, limiting factor, fecundity, fertility, reproductive potential, population change, closed vs. open population, survivorship patterns (I, II, III), geometric growthvs. exponential growth, instantaneous growth rate, doubling time, logistic growth rate, logistic growth curveQuestions (write out complete responses)1.Each May, harp seals give birth on pack ice off the coast of Newfoundland and Labrador. In a hypothetical situation, an initial population of 1500 seals gives birth to 680 pups, and during the next 12 months, 90 seals die. Assuming that the population is growing geometrically, what will the harp seal population be in 11 years?2.Each May, harp seals give birth off the coast of Newfoundland and Labrador. In a hypothetical situation, an initial population of 900 seals gives birth to 390 pups, and during the next 12 months, 60 seals die.3.Assuming that the population is growing geometrically, what will the harpseal population be in 12 years?A population of squirrels in a local park exhibits geometric growth. The initial population size is 43 squirrels. During the year being studied, 77 young are born, and 21 squirrels are lost to predators and accidents. A) Calculate the geometric growth rate. A formal solution is required. B) Is it reasonable to assume that the population will continue to increase at this rate? Explain why you made this conclusion.4.During the summer, a population of aphids exhibits exponential growth on rose bushes. The initial population of aphids on a rose bush is 53 and their intrinsic rate of increase is 0.281 per day. Calculate the initial instantaneous growth rate. 5.A population of 1750 yeast cells in a culture tube is growing exponentially. If the intrinsic growth rate (r) is 0.023 per hour, calculate the initial instantaneous growth rate, dN/dt.6.A hypothetical population has a per capita growth rate of 3.5% per year. Determine the approximate time needed for the population todouble in size. 7.Historical records suggest that in A.D. 1650, the human population was growing such that the population doubled in 200 years. Determine the intrinsic growth rate of the human population in 1650 as a percent.
8.The Irish Potato famine occurred in 1850, however, historical records suggest that in A.D. 1850, the human population was growing such that the population doubling time was 100 years. Determine the intrinsic growth rate as a percent. 9.In a population of lobsters where growth is continuous, the carrying capacity of the environment is 1000 individuals. The initial population has a maximum intrinsic growth rate of 0.235 per year.Calculate the rate of logistic growth of the population over three years, by completing the table. Provide a formal solution of the population increase for 1 year. The population size is 170.10.A population is growing continuously. The carrying capacity of the environment is 800 individuals and the maximum growth rate is 0.35. a) Determine the population growth rate if the population size is 20 individuals. A formal solution is required.b) How would this rate compare to the rate if the population was very near the carrying capacity? A calculation is not required.11.A population is growing continuously. Thecarrying capacity of the environment is 780 individuals and the maximum growth rate is 0.35. a) Determine the population growth rate if the population consists of 700 individuals. The carrying capacity is 800.b) How does this rate compare to the rate that would be calculated with a much smaller population? A calculation is not required.Answers1.With the same growth rate, the seal population will have reached 60 743 at the end 11 years2.With the same growth rate, the seal population will reach 39 330 after 12 years.3. a)The geometric growth rate of the squirrel population is 2.3 b)It is not reasonable to assume a constant growth rate. The park has a carrying capacity determined by food, shelter and space requirements of the population. Once this isreached, the growth rate will decline. 4. The aphid population has an initial instantaneous growth rate of 15 aphids/h.5. The initial instantaneous growth rate is 40/h. 6. The population should double in approximately 20 years. 7. The growth rate of the human population in 1650 was 0.34%. 8. The growth rate of the human population in 1850 was 0.69%. 9. The logistic growth rate is 33 per year. 10. a) The population growth rate is 6.8 when the population has 20 individuals.b) Nearing the carrying capacity, the rate would be declining/approaching zero. 11. a) The population growth rate is 6.8 when the population numbers 700 individuals. b) The growth rate would be much lower.14.3 Factors Affecting Population Change & 14.4 Interactions Within CommunitiesDefinitions to write out: density dependent vs independent factors, interspecific vs intraspecific competition, predation, minimum viable population size, the allele effect, obligatory mutualism, mutualism, commensalisms, limiting factor, ecological niche, ectoparasite, mimicry, visual warning, habitat, fundamental vs. realized niche, parasitism, passive defense mechanisms vs active defense, exotic species