1. Population Ecology

2. Population – a group of organisms of the same species occupying a particular space at a particular time.
Populations are units of study.

3. Population Attributes
Density – size of a population in relation to a definite unit of space
Affected by:
Natality – the reproductive output (birth rate) of a population
Mortality – the death rate of organisms in a population
Immigration – number of organisms moving into the area occupied by the population
Emigration – number of organisms moving out of the area occupied by the population

4. Population Density
Four primary population parameters:

5. Density Examples
Two fundamental attributes that affect our choice of techniques for population estimation are the size and mobility of the organism with respect to humans.

6. Range of Population Density

7. Two Types of Density Estimates
Absolute Density – a known density such as #/m2
Relative Density – we know when one area has more individuals than another

8. Measuring Absolute Density
Total Count – count the number of organisms living in an area
Human census, number of oak trees in a wooded lot, number of singing birds in an area
Total counts generally are not used very often
Sampling Methods – use a sample to estimate population size
Either use the quadrat or capture-recapture method

9. Quadrat Method
A Quadrat is a sampling area of any shape randomly deployed. Each individual within the quadrat is counted and those numbers are used to extrapolate population size.
Example: a 100 square centimeter metal rectangle is randomly thrown four times and all of the beetles of a particular species within the square are counted each time: 19, 21, 17, and 19. This translates to 19 beetles per 100 cm2 or 1900 per m2.

10. Transects as Quadrats
Each transect was 110 meters long and 2m wide (220 m2 or 0.022/ha). All trees taller than 25 cm counted.

11. Capture-recapture Method
Important tool for estimating density, birth rate, and death rate for mobile animals.
Method:
Collect a sample of individuals, mark them, and then release them
After a period, collect more individuals from the wild and count the number that have marks
We assume that a sample, if random, will contain the same proportion of marked individuals as the population does
Estimate population density

12. Assumptions For All Capture-Recapture Studies
Marking technique does not increase mortality of marked animals
Marked individuals are allowed to mix with population
Marking technique does not affect catch probability
Marks are not lost or overlooked
No significant immigration or emigration
No significant mortality or natality

13. Peterson Method or Lincoln Index
Marked animals in second sample
Total caught in second sample
Marked animals in first sample
Total population size = 5 20 N 16
N = (20)(16) 5
N = 64 =

14. Indices of Relative Density
Assume that samples represent some relatively constant but unknown relationship to total population size.
# cars in the Piggly Wiggly parking lot
Provides an index of abundance
Is population increasing, decreasing, or staying the same
Are there more animals in one location than another?
Can not quantify differences between sites
Twice the number of tracks does not = twice as many animals

15. Some Indices Used Traps Number of Fecal Pellets Vocalization Frequency
Pelt Records
Catch per Unit Fishing Effort
Number of Artifacts
Questionnaires
Cover
Feeding Capacity
Roadside Counts

16. Natality (birth rate)
Fecundity – physiological notion that refers to an organism’s potential reproductive potential
Usually inversely proportional to the amount of parental care given to young
Fertility – Ecological concept that is based on the number of viable offspring produced during a specific period
Realized fertility – actual fertility rate
One birth per 15 years per human female in the child-bearing ages
Potential fertility – potential fertility rate
One birth per 10 to 11 months per human female in the child-bearing ages

17. Natality Continued
Absolute or crude natality – number of new individuals per unit time
50 protozoa increase to 150 by division in one hour, then crude natality = 100
Specific natality – number of new members divided by the population size
100 new protozoa in one hour from original 50
100/50 = 2 protozoa per original per hour
400 births in one year in a town of 10,000
Absolute natality = 400
Specific natality = 400/10,000 = 0.04 = 4%

18. Mortality Opposite of mortality is survival
Longevity focuses on the age of death of individuals in a population
Potential longevity – maximum lifespan by an individual of a particular species
Set by the organisms physiology (dies of old age)
Sometimes described as the average longevity of individuals living in optimal conditions
Realized longevity – actual life span of an organism
Measured as an average for all animals living under real environmental conditions

19. Determining Mortality
Mark several individuals and measure how many survive from time t to t+1.
If abundance of successive age groups is known, then you can estimate mortality between successive age groups.
Can use catch curves for fish:
Or develop regression equation
292
Survival between age 2 and 3=
147/292=0.50
147

20. Immigration and Emigration
Seldom measured
Assumed to be equal or insignificant (island pop’s)
However, dispersal may be a critical parameter in population changes

21. Life Tables - Mortality
Mortality is one of the four key parameters that drive population changes.
We can use a life table to answer particular questions about population mortality rates.
What life stage has the highest mortality?
Do older organisms die more frequently than young organisms
A cohort life table is an age-specific summary of the mortality rates operating on a cohort of individuals.
Cohort – a collective group of individuals
Fish year class, all mice born in March, tadpoles from a single frog, freshman year class

22. Cohort Life Table: X = age nx = number alive at time t
lx = proportion of organisms surviving from the start of the life table to age x (ex: l1 = n1/n0, = 25/115; l2=n2/n0, 0.165=19/115)
dx = number dying during the age interval x to x + 1 (ex:d0=n0-n1, 90 = ; d1=n1-n2, 6=25-19)
qx = per capita rate of mortality during the age interval x to x + 1 (ex: q0=d0/n0, 0.78 =90/115; q1=d1/n1)

23. Per Capita Rates
Per capita is a presentation of data as a proportion of the population.
Suppose a disease kills 400 ducks:
If total duck population = 250,000 then the per capita mortality = 400/250,000 = 0.16%.
If total duck population = 2,500 then the per capita mortality = 400/2,500 = 16%.
Per capita gives us an idea of how the entire population is affected.
Allows us to standardize a population

24. Suvivorship Curve

25. Types of Survivorship Curves
Type 1 – Mortality rates high late in life span
Type 2 – Mortality rates fairly constant with age
Type 3 – Mortality rates highest early in life span

26. Survivorship Curves Can be a reflection of the amount of parental care
Can be affected by population density
Unmanaged area
Managed for hunting

27. Adding Reproduction
Fertility Schedule
Population net reproductive rate
0.6% increase each generation
bx = natality; (lx)(bx) = reproductive output for that age class
R0 =  (lx)(bx) = net reproductive rate

28. Net Reproductive Rate Under stable conditions R0 is usually around 1.
R0 < 1 population is declining, R0 = 1 population is stable, R0 > population is increasing.
Can greatly affect the population growth rate, and natural selection works towards an adaptive reproductive schedule

29. Population Age Structure

30. Population Age Pyramids

31. Dominant Year Class
Fish reproduction strongly affected by year-to-year fluctuations
Population Age Pyramids will be different

32. Environmental factors Rate of increase or decrease of the population
Relationships
Environmental factors
Mortality Rates
Natality Rates
Age Composition
Rate of increase or decrease of the population

33. Growth With Discrete Generations
Species with a single annual breeding season and a life span of one year (ex. annual plants).
Population growth can then be described by the following equation:
Where
Nt = population size of females at generation t
Nt+1 = population size of females at generation t + 1
R0 = net reproductive rate, or number of female offspring produced per female generation
Population growth is very dependent on R0
Nt+1 = R0Nt

34. Multiplication Rate (R0) Constant
If R0 > 1, the population increases geometrically without limit. If R0 < 1 then the population decreases to extinction.
The greater R0 is the faster the population increases:
Geometric Growth

35. Multiplication Rate (R0) Dependent on Population Size
Carrying Capacity – the maximum population size that a particular environment is able to maintain for a given period.
At population sizes greater than the carrying capacity, the population decreases
At population sizes less than the carrying capacity, the population increases
At population sizes = the carrying capacity, the population is stable
Equilibrium Point – the population density that = the carrying capacity.

36. Net Reproductive rate (R0) as a function of population density:
Y = mX + b
Y = b – m(X)
Intercept
N = 100, then R0 = 1.0 population stable
N > 100, then R0 < 1.0 population decreases
N < 100, then R0 > 1.0 population increases
Remember, at R0 = 1.0 birth rates = death rates

37. Growth With Overlapping Generations
Previous examples were for species that live for a year, reproduce then die.
For populations that have a continuous breeding season, or prolonged reproductive period, we can describe population growth more easily with differential equations.

38. Multiplication Rate Constant
In a given population, suppose the probability of reproducing (b) is equal to the probability of dying (d).
Instantaneous rate of population growth = r = b – d
Then dN/dt = (b – d)N = rN
Population grows geometrically

39. Multiplication Rate Dependent on Population SizedN dt
= rN
K - N K
Where:
N = population size
t = time
r = intrinsic capacity for increase
K = maximal value of N (‘carrying capacity’)

40. dN K - N = rN dt K K r Pop. Size (K-N)/K Growth Rate 1.0 1 99/100 0.9950
50/100
25.00 75
25/100
18.75 95
5/100
4.75 99
1/100
100
0/100
0.00 dN dt
= rN
K - N K K

41. Logistic Growth

42. Theoretical Growth Forms

43. Population Fluctuations
Irruption – a boom in numbers followed by a bust
Unpredictable, but usually happen when weather, food, and shelter are all ideal

44. Population Cycles
Population increase and decrease follow a multiple year cycle
Usually predator prey cycles, but not always

45. Modeling Population Cycles

46. Population Level Pulsing

47. Density Independent / Dependent Factors
Physical factors such as unpredictable weather, water currents, chemical limiting conditions, or pollution can affect the population no matter the size
Biotic factors such as competition, parasites, and predation often work as a density dependent factor (more important at higher densities)

48. Metapopulations
Subpopulations occupying discrete patches of suitable habitat separated by unsuitable habitat (except dispersal corridors)
Source vs. sink

49. r vs K selection r – intrinsic rate of increase K – carrying capacity
r-selected species have evolved to put a lot of energy into reproduction and growth
K – carrying capacity
K –selected species have evolved to put a lot of energy into maintenance

50. r vs K selection