POPULATION GROWTH & MEASUREMENT

1. POPULATION GROWTH & MEASUREMENT AP Environmental Science Chapter 6

2. WHAT IS A POPULATION? A group of interbreeding individuals within a geographical location. POPULATION SIZE is determined by: • #of births (based on fertility rates) • # of deaths • # of indiv that enter or leave the population

3. Population Graphs measure status of populations J-curve or Exponential Growth Curve S-Curve or Logistics Curve

4. POPULATION DENSITY DENSITY: number of individuals per unit area or volume Ex: Suppose there are 150 bullfrogs living in a pond that covers an area 3 square km. What is the population density?

5. Population density Population Density = Number of Individuals (150 frogs) Unit Area (3 sq KM) = 50 bullfrogs per square kilometer!

6. Populations Dynamics • Population Modeling http://www.hippocampus.org/course_locator?course=AP%20Biology%20II&lesson=63&topic=1&width=600&height=454&topicTitle=Population%20Ecology:%20Overview&skinPath=http://www.hippocampus.org/hippocampus.skins/default

7. CARRYING CAPACITY P R E D A T O R S F O O D D I S E A S E D I S A s T E R S = Max population that a habitat can support (Level line)

8. Carrying Capacity Factors These limiting pressures keep a population in check such as carrying capacity: • 1. # of Predators • 2. Amount of Food & Water Resources • Disease • Natural Disasters • Reproductive ability

9. Other factors – H I P P O can decrease in population!! • H=Habitat • I= Invasive species • P= Pollution • P=Other interacting populations • O=Overconsumption

10. Exponential Increase (J-curve) In a J-curve, the popul keeps growing quickly (exponentially over time).

11. What causes J-curve to occur? Conditions: • No enemies • No competition. • Plenty of food & water 4. Low % of disease J-curve is usually a temporary situation=Population crash.

12. Exponential Growth Math Model Change in N Initial Population Change in time Rate of reproduction Time

13. dN/dt = rN N=2 cockroaches (male and female) r= 2 cockroaches can produce 20 offspring in 3 months a. The rate of growth (r) 20/2 adults or 10 per 1 adult. b. The growth rate (r) equals 10

14. Figure 06_03

15. Exponential Growth can Crash • When population can no longer sustain itself without food resources, pop decrease beneath the carrying capacity.

16. Population Crash Isle Royale, Michigan National Park Moose pop quickly in 1991-1995. Wolf pop due to Parvovirus passed on from domesticated dogs visiting the National Park. Moose population Due to tick infestation.

17. S-curve (Logistics curve)

18. S-curve or Logistics Population 1. Population at equilibrium. • S-curve may change (increase & decrease) slightly, but is constant near the carrying capacity. • May be considered “restricted growth”.

19. Factors that keep populations within carrying capacity Migration

20. Logistics Curve Model • dN = rN 1-N dt K dN = change of population over time dt N = Population K= Current Carrying Capacity r= rate of change or reproductive rate of a speciesd

21. Logisitics/Carrying Capacity Connection If the carrying capacity (K) = 100 wolves If the N = 100 wolves (wolves bred successfully to increase population) Look at the 1-N/K part: 1 - 100 100 1- 1 = 0 dN/dt = rN(0)=0!!!

22. Logistics & CC (continued) There is no change in dN/dt-no population growth! What if N=50? Plug it into 1-N/K to see how it affects the reproductive rate for a population. 1-50/100 = 1-1/2 = 1/2rN or half of the maximum reproductive rate for the wolves.

23. Logistics & CC (continued) • If N = 10…plug into 1-N/K (1- 10) = (1-.10) = .90 100 dN = rN(.90) or dNis at a rate of dtdt 90% as fast as the max possible reproductive rate for the wolves!

24. Lincoln Peterson Population Estimate Model Estimating population size by random sampling an ecosystem. Focus on population density or animal abundance. Model: n1 = m2 OR N= n1 x n2 N n2 m2 n1=#animal marked & released 1st time n2=# animals captured during 2nd session m2-# animals captured during 2nd session & are marked. Est Population

25. Population Measurement in Review

26. Population Equilibrium Equilibrium: the balance between births and deaths within a population

27. Other Population Considerations

28. Environmental Resistance Factors/pressures that limit a population’s ability to increase (CC)

29. Population Dispersal Definition Different patterns of how a species or population will inhabit a certain geographical location.

30. Population Dispersal is determined by:

31. POPULATION DISPERSAL A. RANDOM: 1. Least Common 2. Found anywhere in envir. 3. High mobility such as wind blown Ex: Dandelions

32. POP DISPERSAL B. Uniform • Rare Occurrence but does occur in nature! (Hawks, wolves) • Can indicate human impact a. Plantations, orchards, etc.

33. UNIFORM POPULATION DISP. Red-Tailed Hawk Orchards

34. CLUMPED POP DISPERSAL C. CLUMPED: • Patchy, most common • Protection, avail of natural resources, to survive • Ex: Allelopathy, fish, plants, trees, etc.

35. Clumped Dispersal – Purple Loosestrife Patterns in US

36. Reproductive Potential …Is an organism’s ability to grow at the fastest rate. (To replenish the species—innate!)

37. R-selected Hint: Rapid Repro Early reproduction Short life span Hi mortality Little/no parental care Large # of offspring produced Inhabit lower trophic levels (1st order consumers) 2. K-selected Hint: Longer Repro Late reproduction Long life span Low mortality High parental care Small # of offspring produced REPRODUCTIVE POTENTIAL COMPARISON

38. REPRODUCTION TYPES K-SELECTEDTYPE R-SELECTED TYPES

39. Reproductive potential – “R” Bacterium can produce 19 million descendants in a few days!! Mosquitoes live 10-14 days laying eggs every 3 days. Mosquito rafts have 200-300 eggs;. hatch in 48 hours

40. Reproductive potential – “K” Some species have higher reproductive potential!! K-Potential Gestation Times: Human= 9 months Elephants= 22 months Oppossum = 12-13 days (marsupial)

41. CRITICAL NUMBERS Survival & recovery of population depends on a minimum population base—its critical number.

42. Factors Affecting Critical Number C1. IMMIGRATION: movement of indiv into an area C2. EMIGRATION: movement of individuals which leave an area. Plus Environmental Resistance Factors

43. Critical Numbers If pop falls below critical number, breeding may fail and extinction could occur. Threatened: species whose pops are declining rapidly Endangered: near critical number and may become extinct.