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a) A population will grow when (b>d, b<d, b=d) b) A population in an environment with unlimited resources will grow (exponentially, logistically) c) If a population grows at a rate of N=2t, where t is the sampling time interval, what is N at sampling time 10? Obtain 5 bags representing bacterial population at different time intervals (measured in military time). Just by looking at the bag, can you predict the type of growth demonstrated by the population? Count the # of individuals at each time interval. Graph. Using the graph you created, predict the population size at 1600. Under what conditions will a population increase exponentially? Be specific. How can you identify exponential growth on a graph? Can we represent this growth pattern mathematically? Consider the human population graph. Based solely on the graph, what would you predict the human population will be in 2100? Do you think this prediction is accurate? Explain your thinking. Obtain 10 bags representing the size of a population at a given time interval Count the # of individuals at each time interval. Graph. Can you identify the carrying capacity of the environment? • If so, mark it with a red dotted line on your graph • If not, write a brief explanation why not What is occurring at each time interval? Generate some possible explanations. Can you think of any examples of species that have this kind of population growth pattern? Create a model of what is occurring with your species over the 10 (weeks, months, years). Include possible scenarios that explain the changes in population size in the broader context of the 10 time frames. No population can increase indefinitely • Environment sets limits Maximum # of individuals a population can support indefinitely = carrying capacity (K) • S-curve • Takes into account carrying capacity: ▫ dN/dt = rN [(K – N)/K ] • When the # of individuals is small, [(K – N)/K ] is almost 1 ▫ Environment doesn’t keep population in check • As N increases to near carrying capacity, [(K – N)/K ] approaches 0 ▫ Growth decreases • Populations may rise temporarily above K ▫ Drop down to below K ▫ Population crash Examples: • Predation • Disease • Competition What do you think will happen to a population of insects that are introduced to a new environment? Justify your prediction