Science That Scares… What are your inalienable rights? • • • • #5 Right to enjoy natural beauty #4 Right to decent shelter #3 Right to breathe clean air #2 Right to drink pure water And • #1 Right to eat well T.H. Malthus • “There Should Be No More People In A Country Than Can Enjoy Daily A Glass of Wine and A Piece of Beef For Dinner” – T.H. Malthus The Malthusian “Iron Law” • Food resources grow arithmetically with increasing technology • Population sizes grow exponentially due to nature’s tendency to overproduce • Yet, population sizes eventually remain constant The Iron Law How is the Malthusian Iron Law Supported by the 1st Law of Thermodynamics? J-Curves • If populations were not bound by the Iron Law, then populations would grow exponentially in a “J” curve • Any population allowed to do this would reach its BIOTIC POTENTIAL Lag Phase • All population growth starts out slowly, in an arithmetic progression • This initial period of slow growth is called a LAG PHASE Why does population growth always start with a lag phase? Log Phase • Once a population has enough reproductive members, a period of exponential growth occurs • This is known as the LOG PHASE (or logistic growth) FACTORS AFFECTING RATE OF POPULATION GROWTH • NATALITY • MORTALITY • IMMIGRATION • EMIGRATION NATALITY • Def: # of live births in a given amt. of time • Natality is also determined by two additional factors – Fecundity – Age Structure FECUNDITY • Def: The number of offspring born to an individual during the course of its lifetime • Fecundity is correlated with lifespan and other abiotic factors Factors Affecting Fecundity AGE STRUCTURE • Def: The relative portions of each population that are: – Pre-Reproductive – Of Reproductive Age – Post-Reproductive ANY PREDICTIONS? MORTALITY • Def: The number of deaths in a population in a given amt. of time IMMIGRATION • Def: Individuals of one species entering a habitat of a species over a given amount of time EMIGRATION • Def: Number of individuals of a species leaving a given area within a certain length of time Doubling Time • Def: The amount of time it takes for a given population size to double • In the LOG PHASE, the doubling times get shorter BIOTIC POTENTIAL • Biotic potential is reached when a population is allowed to reproduce at its maximum rate without increasing numbers of deaths • To reach biotic potential, populations require unlimited space and resources • Instead of reaching biotic potential, populations are affected by limiting factors LIMITING FACTORS • Def: Any biotic or abiotic condition that negatively affects the rate of population growth • Limiting factors may be density-dependent or density independent. Density Dependent Limiting Factors • Def: A limiting factor that is caused by increasing population density • Examples: famine, disease, parasitic infections, pollution Density Independent Limiting Factors • Def: Limits on population growth are not due to increasing numbers/density of the population • Examples: Violent Weather, Natural Disasters S-Curves • Populations rarely ever reach biotic potential • Competition and other limiting factors cause growth rates to slow • The resulting growth pattern looks like an S Lag 2 • As density dependent factors begin to affect the rate of reproduction and survival, the growth rate may slow • ENVIRONMENTAL RESISTANCE • This time of slowing growth is LAG 2 How does the cause and rate of growth in Lag 1 differ from Lag 2? CARRYING CAPACITY (K) • Every ecosystem has a limit to how many organisms in a population can be supported. • This limit is determined by the biotic and abiotic composition of the ecosystem FLUX • When populations exceed the carrying capacity of the environment, the population must eventually decline • Populations tend to overproduce, once again exceeding K. Lab: Assessing Population Dynamics of Saccharomyces cerevisiae • Purpose: To assess the relationship between concentration of limiting factors on the carrying capacity of microorganism populations. • Methodology: Spectrophotometry • Hypothesis: How will the percentage of fructose impact the changes in the size of the Saccharomyces cerevisiae population? Which populations do you expect to grow and stabilize? Which populations will fail to thrive? Saccharomyces cerevisiae • “Brewer’s Yeast” • Kingdom Fungi • Utilize fructose and other simple sugars as the basis of their metabolism • Reproduce via binary fission (asexual reproduction) Spectrophotometry • Indirectly measures population size of microorganism culture • The greater the percent transmittance, the smaller the population Protocol • 1) CLEAN YOUR TEST TUBES • 2) Suspend each of the five cultures of Saccharomyces cerevisiae with the stirring rod • 3) Using a graduated dropper, transfer 1mL of culture to a clean test tube • 4) Dilute the culture sample with 8mL of tap water (this should fill the test tube to the top) • 5) Mix/invert and bring to instructor when that % is called to be assessed • 6) Determine % transmittance with the spectrophotometer • 7) Repeat steps 2-6 for all percentages