Causes of the recent population growth of humans and why extrapolating this backwards is invalid:
http://www.ecology.com/ecology-public-health-deborah-glik/population/population1.htm
In a finite world with limited resources, no population can grow forever.1. Population Growth (See 4 Handouts) -Population increases by birth (+ immigration) -Population decreases by death (+ emigration) -(r)Intrinsic or Instantaneous rate of increase or Malthusian parameter(r) = Instantaneous rate of change in population size per individual (r) = species specific (r) = average per capita birth rate (b) - average per capita death rate(d)
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(r) = b d (assume immigration and emigration cancel each other out)a. Exponential Growth Type of Explosive population growth -Mathematical Formula: ?N/?T = rN-Shows J-shaped curve. -Occurs when : 1. b > d, 2. Unlimited resources 3. No population regulation factors 4. Unrestricted growth under ideal conditions 5. We rarely see this type of growth for long in the real world. Popualtion growth rates eventually slow down. b. Logistic Growth -Mathematical Formula: ?N/?T = r(K-N/K)N -Type of population growth seen in most populations -Shows a S (Sigmoidal)shaped curve -Accounts for population. density via (K) Carrying Capacity which is the maximum # (N) of individuals the environment will hold. -Carrying capacity is determined by the amount of resources and other limiting factors in the environment. Populations usually fluctuate around K. -Each individual reduces the intrinsic rate of increase. -What happens to r when N=K ? Zero population growth -Some problems with the logistic model: 1. Populations usually fluctuate around K due to time delays or delayed responses to each added individual (e.g., effect of competition on birthrate may not be immediate) 2. K can change when available resources (food , shelter) and limiting factors (predators, disease, competition) change 2. Population Regulation -Population growth is influenced by a combination of density dependent and density independent factors. These factors keep population growth in check. a. Density Dependent Factors:- External factors which limit population growth in a density dependent way.
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-Recognize density dependence if birth rates, death rates or both are affected by population density -In other words, the proportion of individuals influenced by these factors changes with population density-Here are some density-dependent factors: 1. Competition and Food supply e.g., When food supply (e.g., plants) decrease, herbivores decrease, then plants recover, herbivores increase and compete for food, plant populations decreases, and the cycle continues (The more individuals, the less food to go around to each) (Remember my example of the reindeer introduced to St. Paul Island, Alaska. They overgrazed their food supply and this led a population crash).2. Predators e.g., When predator population is low, prey populations, then predator populations increase (as there is more food to go around grow and prey are at a greater risk of being captured) ,this is followed by prey populations decreasing, leading to predator populations decreasing (they starve), etc.(predator-prey oscillations)3. Disease As populations increase, disease causing microorganisms increase, and the cycle continues
Disease is spread more easily in larger populations. 4. Waste As populations increase, waste increases. Even wine producing yeast (yeast ferment sugar for energy and make ethanol as a byproduct) can only tolerate 14% ethanol. Waste is a limiting factor. b. Density Independent Factors: -External Factors that limit population growth in a density independent way. -Birth and/or death rates are independent of changes in population density-Same proportion of individuals are affected at any population density -Some density-independent factors: Natural disaster (fire, hurricane), bad weather (i.e., cold spell)
www.esb.utexas.edu/engler/bio304/lectures/lect19.pdf+population+check+ecology+&hl=en&ie=UTF-8