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Biology 30 Morinville Community High School Unit 6: Populations Name: ______________ Populations Unit Outline Key Concept A: Quantifying Gene Pools A1. The Hardy Weinberg Equilibrium Key Concept A: Quantifying Gene Pools A1. The Hardy Weinberg Equilibrium Key Concept B: Changes in a Gene Pool B1. Hardy Weinberg Restrictions B2. Founders & Bottleneck Effect Key Concept C: Population Growth and Quantitative analysis of populations C1. Density & Population Distribution C2. Population Growth & Growth Patterns C3. Factors that Inhibit Growth: Density Dependent and Density Independent Factors C4. Life Strategies Key Concept D: Population Interactions D1. Intra and Interspecific Competition D2. Predator Prey Relationships D3. Defenses against consumers D4. Symbiotic relationships The Hardy-Weinberg formulas allow scientists to determine whether evolution has occurred. Any changes in the gene frequencies in the population over time can be detected. The law essentially states that if no evolution is occurring, then an equilibrium of allele frequencies will remain in effect in each succeeding generation of sexually reproducing individuals. In order for equilibrium to remain in effect (i.e. that no evolution is occurring) then the following five conditions must be met: 1. 2. 3. 4. 5. There must be an infinitely large population No migration of individuals into, or out of, the population. Random mating must occur No mutations can occur in the population No natural selection can occur in the population Obviously, the Hardy-Weinberg equilibrium cannot exist in real life. Some or all of these types of forces all act on living populations at various times and evolution at some level occurs in all living organisms. The Hardy-Weinberg formulas allow us to detect some allele frequencies that change from generation to generation, thus allowing a simplified method of quantifying genetic change. Godfrey Hardy and Wilhelm Weinberg developed the following formula based on patterns of genetic inheritance: Key Concept E: Succession E1. Primary & Secondary Succession E2. Pioneer and Climax Communities E2. Species Richness vs. Biomass p2 + 2pq + q2 = 1 What do each of the terms represent in this equation? 2 p = frequency of ____________________________ individuals 2pq = frequency of ___________________________ individuals 2 q = frequency of ____________________________ individuals and… p = frequency of the ______________________ allele q = frequency of the ______________________ allele 2 2. Sickle-cell anemia is an interesting genetic disease. Normal homozygous individuals (AA) have normal blood cells that are easily infected with the malarial parasite. Thus, many of these individuals become very ill from the parasite and many die. Individuals homozygous for the sickle-cell trait (aa) have red blood cells that readily collapse when deoxygenated. Although malaria cannot grow in these red blood cells, individuals often die because of the genetic defect. However, individuals with the heterozygous condition (Aa) have some sickling of red blood cells, but generally not enough to cause mortality. In addition, malaria cannot survive well within these "partially defective" red blood cells. Thus, in Africa heterozygotes tend to survive better than either of the homozygous conditions. If 9% of an African population is born with a severe form of sickle-cell anemia (aa), what percentage of the population will be more resistant to malaria because they are heterozygous (Aa) for the sickle-cell gene? Hardy Weinberg Principle Practice Questions 1. You have sampled a population in which you know that the percentage of the homozygous recessive genotype (aa) is 36%. Using that 36%, calculate the following: a) The frequency of the “aa” genotype: __________ b) The frequency of the "a" allele: __________ c) The frequency of the "A" allele. __________ d) The frequencies of the genotypes "AA" and "Aa." AA: ________ Aa: ________ e) The frequencies of the two possible phenotypes if "A" is brown and “a” is white. Brown: __________ White: _________ 3 Hardy Weinberg Principle Practice Questions 3. Hip dysplasia is an autosomal recessive condition that affects 60% of golden retrievers. Calculate a) the frequency of the recessive allele. b) the frequency of the dominant allele. c) the frequency of heterozygous individuals. d) the frequency of the homozygous dominant individuals 4. Within a population of butterflies, the color brown (B) is dominant over the color white (b). And, 40% of all butterflies are white. Given this simple information, which is something that is very likely to be on an exam, calculate the following: 6. Cystic fibrosis is a recessive condition that affects about 1 in 2,500 babies in the Caucasian population of the United States. Please calculate the following. a) The frequency of the recessive allele in the population. b) The frequency of the dominant allele in the population. c) The percentage of heterozygous individuals (carriers) in the population. 7. Huntington’s disease is an autosomal dominant disorder that affects 6.3 people per 100,000. Given this information, calculate the approximate number of carriers per 1,000 people. a) The percentage of butterflies in the population that are heterozygous. b) The frequency of homozygous dominant individuals. 8. The ability to taste PTC is due to a single dominate allele "T". You sampled 300 individuals at MCHS, and determined that 273 could detect the bitter taste of PTC and 27 could not. Calculate all of the genotype & allele frequencies. 5. A very large population of randomly-mating laboratory mice contains 35% white mice. White coloring is caused by the double recessive genotype, "aa". Calculate allelic and genotypic frequencies for this population. 4 9. After graduation, you and 19 of your closest, none of which have cystic fibrosis, charter a plane to go on a round-the-world tour. Unfortunately, you all crash land (safely) on a deserted island. No one finds you and you start a new population totally isolated from the rest of the world. Two of your friends carry (i.e. are heterozygous for) the recessive cystic fibrosis allele (f). Assuming that the frequency of this allele does not change as the population grows, what will be the incidence of cystic fibrosis on your island? Are there different answers for this question? What does this scenario teach you about the “theoretical” Hardy Weinberg model? Key Concept B: Changes in a Gene Pool B1. Hardy Weinberg Restrictions The Hardy Weinberg formula only functions when 5 conditions or parameters are upheld: 1. Larger populations are less likely to have significant changes in allele frequencies. Small populations on the other hand may experience genetic drift. Genetic Drift: 10. What allelic frequency will generate twice as many recessive homozygotes as heterozygotes? Show your proof to Mr. Malanchen and see if he’ll give you a sucker of success. 2. The absence of migrations prevents a gene pool from changing. Migration however can lead to gene flow. Gene Flow: 3. If there are no mutations, there can be no new alleles or change in alleles among individuals. If there are mutations however, than the allele frequencies will change. 4. Natural selection increases the frequency of alleles that provide an advantage and decrease the frequency of alleles that provide a disadvantage. 5. Random mating ensure that each allele has an equal likelihood of being passed on. Non-random mating on the other hand will favour certain traits to be passed on instead of others. 5 B2. Founders & Bottleneck Effect Key Concept C: Population Growth and Quantitative Analysis of Populations Founders Effect: C1. Density and Population Distributions Density can be calculated using either of these two formulas: Ex: Dp = Bottleneck Effect: Where N A or Dp = Dp = population density N = population size A, V = area or volume ! N V ! Ex: Examples: 1. There is population of Morinville is estimated to be 7300. Morinvilleʼs 2 estimated area is 10.6 km . Calculate Morinvilleʼs population density. 2. There are 5 fish in a 40 gallon aquarium. What is the population density of the aquarium? 6 Populations may be clustered in 3 main types of distribution patterns: Population growth growth rates can also be calculated using the following two formulas: Random Population Distribution: gr = Ex. Where ! Uniform Population Distribution: Ex. Clumped Population Distribution: Ex. "N t or cgr = "N N gr = growth rate cgr = per !capita growth rate t = time (months, years etc) "N = change in population size N Initial population size = ! Examples 1. In 1980, the number of elephants in Kruger National Park (Africa) was estimated to be 7,454. In 1999, it was estimated that population had grown to 9,152 elephants. What is the growth rate? C2. Population Growth & Growth Patterns There are four factors that you must take into consideration when determining population growth / decline: births (B), deaths (D), immigrations (I), and emigrations (E). Write a formula for population growth using the terms above: "N = ! What is the per capita growth rate? 2. Albertaʼs woodland caribou population has steadily been declining due to logging practices and loss of habitat. It was estimated that there were 9,000 caribou in Alberta in 1965 and an estimate from 2005 shows this number has dropped to 3,000. What is the growth rate? What is the per capita growth rate? 7 Growth rates & patterns usually follow one of two basic curves: 1. Exponential (J-Shaped) Growth Curve: C3. Factors that Inhibit Growth: Density Dependant and Density Independent Factors Examples of Density Dependant factors that limit growth: Examples of Density Independent factors that limit growth: 2. Logistic (S-Shaped) Growth Curve C4. Life Strategies Two factors govern the type of population growth a particular species will exhibit: Biotic Potential (r): Lag Phase: Carrying Capacity (k): Carrying Capacity (k): Environmental Resistance: 8 Key Concept D: Population Interactions Generally, organisms can be classified into one of two types of life strategies depending on their growth and population patterns: r-Strategists k-Strategists D1. Intra and Interspecific Competition Intraspecific competition: Interspecific competition: D2. Predator-Prey relationships Generally predator & prey populations follow a cyclic pattern: Predators have evolved several adaptations to help them catch their prey: 9 D3. Defense against consumers & avoidance mechanisms. Mechanical Defense Ex: Camouflage Ex: Key Concept E: Succession E1. Primary and Secondary Succession Primary Succession: Group Defense Ex: Chemical Defense Ex: Warning Colouration Ex: Batesian Mimicry Ex: Mullerian Mimicry Ex: Secondary Succession: D4. Symbiotic Relationships Mutualism: Ex: Commensalism: Ex: Parasitism: Ex: 10 E2. Pioneer vs. Climax Species E3. Species Richness vs. Biomass 11