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Chapter 20 Population Growth and Interactions Chapter Outcomes Describe and apply models that represent population density and distribution of individuals within populations Describe the four main processes that result in population change and explain how these processes are related Analyze population data to determine growth rate and per capita growth rate Chapter Outcomes Describe how a population’s biotic potential and the carrying capacity of its habitat determine its pattern of growth Compare r-selected and K-selected reproductive strategies in terms of life cycles and patterns of population growth Chapter Outcomes Describe the interactions among population members and among members of different populations within a community Explain how producer-consumer interactions affect population growth Describe defense mechanisms that have evolved within populations Chapter Outcomes Understand that symbiosis includes mutual, commensal, and parasitic relationships Distinguish between primary and secondary succession 20.1 – Population Growth Quantitative measurements of populations are like snapshots of moments in time Ecologists often rely on a number of measurements over a long period of time to make inferences about population growth Both the distribution and growth of a population can be significant when studying populations and communities Population Distributions habitat can play a role in how populations are distributed population distributions can follow one of three general patterns: Patterns of Distribution 1. Clumped Patterns of Distribution 2. Random Patterns of Distribution 3. Uniform Population Size and Density population size simply describes the number of organisms in an area it is often more useful to compare populations by describing population density (the number of individuals in a given area or volume – for aquatic species) Population Density Formula D = N / A where: D = density of organisms (organisms/unit) N = # of organisms A = size of area in units Example: Ex: There are 200 lemmings in a 25 ha area. Determine the population density of the lemmings: Population Change 1. 2. 3. 4. 4 factors determine population size: Natality – Mortality – Immigration – Emigration – if all the factors remain the same except for an increase in the birth rate, population increases population change can be calculated in the formula: ∆N = (births + immigration) – (deaths + emigration) We can also calculate a per capita population growth rate cgr = (births + immigration) – (deaths + emigration) Initial number of organisms Population Growth Example Ex: In a Banks Island Breeding site, 40 cranes were born, and there were 55 deaths. There was no immigration or emigration of cranes. The original population was 200. Calculate the population growth. Biotic Potential 1. 2. 3. 4. biotic potential depends on a number of factors: Offspring – the maximum number of offspring per birth Capacity for Survival – the chances of offspring reaching reproductive age Procreation – the number of times per year an organism reproduces Maturity – the age at which reproduction begins Carrying Capacity Generally, growth in small populations begins slowly and then the rate of growth increases However, the growth must eventually slow because there is a maximum number of organisms that an ecosystem can support Growth Phases 1. 2. Lag Log (or Exponential Growth) 3. Stationary 4. Death S-Curves Many populations exhibit an S-shaped (sigmoidal) growth curve This is also known as a logistic growth pattern The population number increases until it reaches the carrying capacity of the ecosystem At this point, the population fluctuates near the carrying capacity J-Curves J – shaped curves are representative of quick growth and then a sharp decline in the population this occurs when a population quickly outgrows the carrying capacity of an ecosystem as a result, there is a crash in the population, which is followed by a relatively stable stationary phase these J-curves are most often associated with organisms that can reproduce very quickly (insects, bacteria, etc.) Comparison of J & S-Curves http://www.emc.maricopa.edu Limiting Factors in Populations if there are a number of substances required for growth, then the one with the least concentration will be a limiting factor for growth (law of the minimum) as well, in some cases, too much of a substance can harm an organism therefore, the greater an organisms’ range of tolerance for high and low concentrations of nutrients, the greater its survival ability (Shelford’s law of tolerance) the overall optimum ranges for abiotic factors for each species is different because each species reacts to each factor differently any abiotic factors that are not affected by population density are density independent such factors include temperature & climate factors that are dependent on the population density are density dependent these are factors such as limits to food supply, disease, and predation often problems involving density-dependent factors are alleviated when a population density returns to lower levels r and K Selected Populations K-selected populations are: r-selected populations are: 20.2 – Interactions in Ecological Communities An ecological community is a collection of interacting populations within an area In any community, individuals must compete for limited resources The competition between populations is the driving force behind population dynamics Intraspecies and Interspecies Competition Gause’s Principle states that if two populations occupy the same niche, one of them will be eliminated this principle would represent a worst-case scenario in interspecies competition (the competition between two different species) there also exists intraspecies competition, where members of the same species compete for resources such as food, space and mates Predation predator and prey populations are often closely tied to one another (for instance, if a prey population declines, it is likely that the predator species will as well) however, predators are important in ecosystems as they reduce the number of primary consumers that are feeding on producers Populations of Lynx & Hares Predator-Prey Cycles Predator-prey cycles often depend on a number of factors: in some cases, animals develop camouflage to escape detection (either by predators or prey) other organisms produce physiological adaptations (such as plant toxins) some animals will engage in mimicry, where they will develop markings similar to those on a poisonous or dangerous animal often predators and prey coevolve in an attempt to gain an upper hand Symbiosis 1. There are 3 types of symbiosis: Commensalism 2. Parasitism 3. Mutualism Succession succession is the slow, orderly replacement of one community by another through the development of vegetation climax communities are eventually formed through this process a climax community is a stable, mature community primary succession occurs where there previously was no community (on places such as barren volcanic islands) secondary succession occurs after the partial or complete destruction of a community Steps in Primary Succession 1. 2. 3. 4. 5. Bare land is formed. Pioneer species, such as mosses and grasses that are relatively hardy move in and decrease soil temperature and evaporation, while increasing soil fertility. Small shrubs that tolerate full sunlight move in, stabilizing and enriching the soil. Small, fast-growing trees replace the shrubs and deplete the soil of nutrients and sunlight. A climax community forms, produced from shadetolerant trees which have a high sapling survival rate. Generalizations Regarding Succession 1. 2. 3. 4. Species composition changes more rapidly during the earlier stages of succession. The total number of species increases dramatically during the early stages of succession, levels off during the intermediary phases, and declines as the climax community is established. Food webs become more complex and the relationships more clearly defined as succession proceeds. Both total biomass and nonliving organic matter increase during succession and begin to level off during the establishment of the climax community.