Lec 8-10 Flashcards
What do population ecologists study?
1) Dispersion
- -How are individuals spread out within the population
2) Abundance (size and density)
- -How many individuals are there in the population, and how many individuals are there per unit area?
3) Growth
- -Is the size of the population changing (growing/declining) over time?
- -Positive or negative growth
4) Age/stage/size structure
- -How many individuals of different ages/stages of development /size are there in the population?
5) Sex structure
- -How many males and females are there in the population?
Population Dispersion Patterns
Three ways individuals can be spread out in a population:
1) Random
2) Clumped (AKA aggregated)
3) Regular (AKA uniform)
Random Dispersion
Null, starting point
The expected dispersion pattern in the absence of any biological interactions
–There are almost always biological interactions, which makes this unlikely
Very RARE
An example may be some tree species within tropical rainforests
Clumped Dispersion
The MOST COMMON dispersion pattern
Can result from :
- Favorable habitat patches (if the resources are clumped, the organisms will be too)
- Reproduction and other social behaviors (mammals and insects)
- Defense (schooling fishes)
Regular Dispersion
NOT as common as clumped, but much MORE common than random
Can result from:
- Competition for resources (desert shrubs)
- Territoriality (birds)
Desert shrubs
Not too close to avoid sharing nutrients, not too far to avoid wasting nutrients
Measuring population size
Complete counts of individual organisms in a population are usually difficult or impossible
Methods for estimating population sizes involve sampling from the population and extrapolating to the actual size
Sampling procedures differ for sessile and motile organisms
Sampling methods for sessile organisms (such as lants and intertidal invertebrates) most frequently involve plots and line transects
One common procedure employing plots is the AREA-BASED COUNTS METHOD
Area-Based Counts Method
The plots are sampling areas of a specified size and shape
As many plots as possible are placed at random throughout the entire population, and individuals are counted within each plot
Plot should be large enough to include at least 10 organisms (may not necessarily contain 10)
n greater than or equal to 30
Example:
1m x 1m (1m^2) square plots are used for small acorn barnacles
Five 1m^2 plots are placed in the intertidal, and the number of barnacles is counted in each plot
17, 25, 4, 23, and 11 are the numbers of barnacles found in the five plots
The average number of barnacles per square meter is:
(17+25+4+23+11)/5 = 16
If the intertidal area in which these small acorn barnacles live is 4,000m^2, the total number of barnacles in the population is estimated as:
16x4,000 = 64,000
Assumptions of the area-based counts method:
1) Individuals can be identified and counted accurately within each plot
2) The plots are representative of the entire population’s area (placed randomly and interspersed throughout the population)
3) The size of the population’s area is known
Sampling Methods for Motile Organisms (such as most animals)
- Trapping
- Spotting
- Listening for vocalizations
- Looking for evidence (burrows, nests, tracks, etc.)
One common procedure employing trapping is the _______________________
Mark-recapture method
Examples:
- Pitfall trap
- Sherman trap
- Mist net
Mark-Recapture Method:
Trap (capture) indivuals from the population at time 1
Mark each captured individual (using a pen, tag, implanted chip, etc.)
Release the captured individuals
In a few days (time 2), trap (capture) individuals from the population again and record how many are marked (recaptured)
M =
captured and marked at time 1
N =
Total # of individuals in the population
This is what we solve for
R =
individuals recaptured at time 2
C =
Total # captured at time 2
M/N is ____________________ and R/C is _______________________
the proportion of individuals in the population that were marked at time 1; the proportion of marked (recaptured) individuals in the sample at time 2, which should estimate (be equal to ) M/N
R/C = M/N
Solve for N:
N = (MC)/R
Example of Mark-Recapture Method
Snowshoe hare population in Minnesota in 1933
M = 948 hares captured and marked at time 1
C = 421 hares captured at time 2
R = 167 hares recaptures (already marked) at time 2
N = ?
N = (MC)/R
N = (948x421)/167 = 2389.868
Minnesota’s snowshoe hare population in 1933 was estimated to consist of 2390 individuals
–Can’t have a fraction of a hare
Mark-Recapture Method Assumptions
1) Population size stays constant between times 1 and 2
- -Can’t do during baby or migration seasons
- -Can’t have a bunch of death
2) All individuals in the population have an equal chance of being captured
- -Same chance of capture at both times; capture doesn’t affect behaviors
3) Marking or capturing does not affect behavior
- -Same chance of capture at both times; capture doesn’t affect behaviors
4) Marks are not lost between times 1 and 2
Modeling Population Growth
The purpose of population models:
- Abstract representation of populations
- If a population matches the model, use the model to make predictions about the population into the future
- If a population does NOT match the model, examine the population more closely to determine what is not accounted for by the model
Population growth Formula
N(t+1) = N(t) + B - D + I - E
N(t) = population size at current time period
N(t+1) = population size at the next time period
B = # births during time period
D = # deaths during time period
I = # immigrations into a population during time period
E = # emigrations out of a population during time period
Exponential Population Growth
During exponential growth, the number of individuals in the population will increase over time at an increasing rate
Represented by J-shaped growth curve
As you add more individuals into population, if increases at faster rate over time
Current Model of Exponential Growth for Continuously Breeding Populations:
(dN/dt) = rN
r > 0 => Population increasing (b > d)
r = 0 => Population stable (b = d)
r < 0 => Population decreasing (b < d)
Current Model of Exponential Growth for Discretely Breeding Populations:
N(t+1) = lambdaN(t)
lambda > 1 => Population increasing
lambda = 1 => Population stable
lambda < 1 => Population decreasing