AP Biology ECOLOGY Chapter 53.1,2,3,4,5,6 Formula sheet for population formulae Big Idea 2: Biological systems utilize free energy and molecular building blocks to grow, to reproduce and to maintain dynamic homeostasis. Essential knowledge Chapters/sections Illustrative examples covered 2.a.1 All living systems require constant input of free energy. 53.3, 53.4 4.A.5: Communities are composed of populations of organisms that interact in complex ways. 53.1, 53.2, 53.3, 53.5, 53.6 54.1, 54.2 • Life-history strategy (biennial plants, reproductive diapause) • Change in the producer level can affect the number and size of other trophic levels • Change in energy resources levels such as sunlight can affect the number and size of the trophic levels • Predator/prey relationships spreadsheet model • Symbiotic relationship • Graphical representation of field data • Introduction of species • Global climate change models View video: On the Edge – Wildlife in the Columbia Mountains. 21 minutes AP Biology: Chapter 53 Population Ecology guided notes Page 1 Chapter 53 Population Ecology What is a population? What is Population ecology? How is population density different from population dispersion? Describe the three main patterns of dispersal within a population. The study of vital statistics that affect population size is called ____________. Additions to the population are caused by ____________________________ and ________________________________. Deletions from the population are caused by ______________________________ and _____________________________. A life table is an age-specific summary of the survival pattern of a population. The best way to construct a life table is to follow the fate of a cohort, a group of individuals of the same age, from birth throughout their lifetimes until all are dead. To build a life table, researchers need to determine the number of individuals that die in each age group and calculate the proportion of the cohort surviving from one age to the next. Examine table 53.1 A graphic way of representing the data in a life table is a survivorship curve, a plot of the numbers or proportion of individuals in a cohort of 1,000 individuals still alive at each age. AP Biology: Chapter 53 Population Ecology guided notes Page 2 A survivorship curve is a plot of the proportion or numbers of a cohort still alive at each age. Compare Type I, II and III survivorship curves. Each type of organism has a particular survivorship curve. Describe each type of curve and relate it to a real organism. What do we mean by the life history of an organism? ____________________________ ________________________________________________________________________ AP Biology: Chapter 53 Population Ecology guided notes Page 3 Population Growth 53.2 Change in population size = Using mathematical notation, we can express this relationship more concisely. o If N represents population size and t represents time, o then N is the change in population size and t is the time interval. We can rewrite the verbal equation as: N/t = B − D where B is the number of births during the time interval and D is the number of deaths. (this is if we ignore immigrants and emmigrants) The per capita birth rate is the number of offspring produced per unit time by an average member of the population. Calculate: If there are 34 births per year in a population of 1,000 individuals, the annual per capita birth rate is If we know the annual per capita birth rate (expressed as b), we can use the formula B = bN to calculate the expected number of births per unit time in a population of any size. Similarly, knowing the per capita death rate (symbolized by m for mortality) allows us to calculate the expected number of deaths per unit time in a population of any size using the formula. o If m = 0.016 per year , we would expect 16 deaths per year in a population of 1,000 individuals. If the mortality rate of a population is 0.05 per year. How many deaths can be expected in a population of I million people? Now we can revise the population growth equation, using per capita birth and death rates: N/t = bN − mN Population ecologists are most interested in the difference between the per capita birth rate and the per capita death rate. This difference is the per capita rate of increase, or r: r=b−m The value of r indicates whether a population is growing (r > 0) or declining (r < 0). o When r = 0, there is zero population growth (ZPG). o Births and deaths still occur, but they balance exactly. Using the per capita rate of increase, we rewrite the equation for the change in population size as: N/t = rN Ecologists use differential calculus to express population growth instantaneously, as the growth rate at a particular instant in time: where rinst dN/dt = rinstN is the instantaneous per capita rate of increase. Population growth under ideal conditions is called exponential population growth. AP Biology: Chapter 53 Population Ecology guided notes Page 4 o Under these conditions, we may assume the maximum growth rate for the population (rmax), called the intrinsic rate of increase. The equation for exponential population growth is dN/dt = rmaxN a) Exponential model of population growth (J-curve) This type of growth pattern can occur when a population is small and resources are unlimited. ________________________________________________________________________ ________________________________________________________________________ The recovery of the whooping crane population illustrates ______________ population growth. ________________________________________________________________________ _____________________________________________________ AP Biology: Chapter 53 Population Ecology guided notes Page 5 Do concept check 53.2 # 3. https://www.youtube.com/watch?v=1tvfmWdZHR4 Coral population recovery. Concep53.3 The logistic growth model describes how a population grows more slowly as it nears its carrying capacity. The logistic model of population growth incorporates the concept of carrying capacity. What is ‘carrying capacity’? This model incorporates the idea that the growth rate of the population slows down as the population size reaches the carrying capacity of the environment (K): Logistic growth gives a ‘J-shaped’ growth curve: AP Biology: Chapter 53 Population Ecology guided notes Page 6 Few populations actually follow the logistic growth pattern exactly, but it is used as a starting point for analyzing population growth. Here are some examples: The logistic growth model can be used to analyze various types of life histories. What type of life history traits are favoured in crowded conditions (high density) where the population is near the carrying capacity of the environment? ____________________________________________________________ Do concept check 53.3 #2 Concept 53.4 Life history traits are products of natural selection. Natural selection favors traits that improve an organism’s chances of survival and reproductive success. In every species, there are trade-offs between survival and traits such as frequency of reproduction, number of offspring produced, and investment in parental care. The traits that affect an organism’s schedule of reproduction and survival make up its life history. Read and understand the Inquiry in Figure 53.13 AP Biology: Chapter 53 Population Ecology guided notes Page 7 Selection for life history traits that are sensitive to population density is known as ____ selection, or density-____________ selection. ○ K-selection tends to maximize population size and operates in populations living at a density near K, where competition between individuals is strong. ○ Mature trees growing in an old-growth forest are an example of K-selected organisms. Review Fig 53.17 on page 1183 and 1184 Selection for life history traits that maximize reproductive success at low densities is known as _____-selection, or density-___________ selection. o r-selection tends to maximize r, the per capita rate of increase. o This occurs in environments in which population densities fluctuate well below K or when individuals face little competition. o Such conditions are often found in disturbed habitats, such as weeds growing in an abandoned agricultural field. What type of life history traits are favoured in less dense environments? Why do we say these traits are a result of ‘r-selection’? Complete this table of the Two Life Strategies r – strategists Many young K - strategists Intensive parenting Rapid maturation/ Large young Reproduce once Example: mammals, birds, reptiles AP Biology: Chapter 53 Population Ecology guided notes Page 8 Population Limiting Factors Limiting factors are those factors that limit population growth. They are divided into two categories: 1. Density – dependent factors are those factors that increase directly as the population increases. They include competition for food, the buildup of wastes, predation and disease. 2. Density – independent factors are those whose occurrence is unrelated to population density. For example earthquakes, storms, and naturally occurring fires and floods. How do the rates of birth, death, immigration and emigration change as population density rises? Population equilibrium is reached when the birth rate equals the death rate (assuming no immigration or emigration). What is the difference between a ‘density dependent’ and a ‘density-independent’ birth or death rate? Density independent birth or death rates do not change regardless of population density. Analyse these graphs. Negative feedback prevents unlimited population growth: AP Biology: Chapter 53 Population Ecology guided notes Page 9 What does population dynamics explain? Some populations have regular ‘boom-and-bust’ cycles What could account for the regular fluctuations in the snowshoe hare and lynx populations? ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ There are three main hypotheses. What are these? 1. 2. 3. The availability of prey is the major factor influencing population changes for predators such as lynx, great-horned owls, and weasels, which depend heavily on a single prey species. When prey become scarce, predators often turn on one another. o Coyotes kill both foxes and lynx, and great-horned owls kill smaller birds of prey as well as weasels, thus accelerating the collapse of the predator populations. Immigration and emigration also influence populations: When a population becomes crowded and resource competition increases, emigration often increases. AP Biology: Chapter 53 Population Ecology guided notes Page 10 Concept 53.6 The human population is no longer growing exponentially, but it is still increasing rapidly. The concepts of population dynamics can be applied to the specific case of the human population. It is unlikely that any other population of large animals has ever sustained so much population growth for so long. The human population increased relatively slowly until about 1650, when approximately 500 million people inhabited Earth. http://www.worldometers.info/world-population/ Activity: Human Population Growth To maintain population stability, a regional human population can exist in one of two configurations: Zero population growth = High birth rates − High death rates Zero population growth = Low birth rates − Low death rates The movement from the first toward the second state is called the demographic transition. As countries go through the ‘demographic transition’, their population growth rate can be very high because the death rate is much lower than the birth rate: AP Biology: Chapter 53 Population Ecology guided notes Page 11 The age structure of the population in a given country determines to some extent its future population growth pattern: Activity: Analyzing Age-Structure Pyramids How are age structure diagrams useful? ________________________________________________________________________ ________________________________________________________________________ _______________________________________________________ Which country in the diagrams above represents a developing nation? ______________ What determines our human footprint? Population growth and economics The Demographic Transition - Differences in a country's population growth correlate with economic development Pre-industrial: Birth rates high, but death rates high too. Population growth is LOW Transitional: Industrial society begins. More foor, more medical care. Birth rates high, death rates lowered. Population growth is HIGH Industrial: Population is "well off" and realtively wealthy. Birth and death rates are low, but population size grows rapidly! Post-industrial: Zero to negative growth: Birth rate very low, even less that death rate, but population size is still high AP Biology: Chapter 53 Population Ecology guided notes Page 12 http://www.nature.com/scitable/knowledge/library/how-populations-grow-theexponential-and-logistic-13240157 good website AP Biology: Chapter 53 Population Ecology guided notes Page 13