Mission
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C4.1 Populations and communities

Tags
population
carrying capacity
quadrat
Lincoln index
sigmoid
exponential
commmunity
top-down
bottom-up
herbivory
predation
mutualism
parasitism
predator-prey relationship
endemic
invasive
chi-squared
allelopathic

Understanding points

C4.1.1 Populations as interacting groups of organisms of the same species living in an area C4.1.2 Estimation of population size by random sampling C4.1.3 Random quadrat sampling to estimate population size for sessile organisms C4.1.4 Capture–mark–release–recapture and the Lincoln index to estimate population size for motile organisms C4.1.5 Carrying capacity and competition for limited resources C4.1.6 Negative feedback control of population size by density-dependent factors C4.1.7 Population growth curves C4.1.8 Modelling of the sigmoid population growth curve C4.1.9 A community as all of the interacting organisms in an ecosystem C4.1.10 Competition versus cooperation in intraspecific relationships C4.1.11 Herbivory, predation, interspecific competition, mutualism, parasitism and pathogenicity as categories of interspecific relationship within communities C4.1.12 Mutualism as an interspecific relationship that benefits both species C4.1.13 Resource competition between endemic and invasive species C4.1.14 Tests for interspecific competition C4.1.15 Use of the chi-squared test for association between two species C4.1.16 Predator–prey relationships as an example of density-dependent control of animal populations C4.1.17 Top-down and bottom-up control of populations in communities C4.1.18 Allelopathy and secretion of antibiotics

Population

A group of individuals of the same species living in an area
Carrying capacity: maximum population size that an environment can support
Determined by abundance of resources: water, space, food

Estimation of population size

Random sampling
Every member of the species has an equal chance of being selected
Quadrat sampling
Repeatedly placing a quadrat frame at random locations and recording the number of organisms present each time
Only suitable for organisms that do not move (sessile)
Capture-mark-release-recapture
Use the Lincoln Index to estimate the population size =M×NR\frac{M\times N}{R}
(M=marked, N=captured, R=recaptured with mark)
Assumptions:
No births, deaths, or migration into the population
The mark stays visible and does not affect chance of survival
Marked individuals have the same chance of recapture as unmarked individuals

Control of population size

Density-independent factors: have the same effect regardless of population size
e.g. forest fires
Density-dependent factors: have an increasing effect as the population grows
e.g. competition, predation, infectious disease
Enables negative feedback

Population growth

Determined by: natality, mortality, immigration, emigration
Phases of the sigmoid growth curve:
Exponential: in an ideal environment with unlimited resources, the population grows more and more rapidly as there are more births than deaths
Transitional: population growth slows due to limiting factors and competition
Plateau: population reaches carrying capacity due to environmental resistance

Community

A group of populations living together in an area and interacting with each other
Top-down control: a higher trophic level acts on a lower one by predation
Bottom-up control: a lower trophic level acts on a higher one by resource restriction

Intraspecific relationship

Between members of the same species
Competition: wildebeest males fight for territory
Cooperation: penguins huddle together to conserve body heat

Interspecific relationship

Between different species
Herbivory
Primary consumers feed on producers e.g. cow grazes on grass
Predation
One consumer kills and eats another consumer e.g. lion hunts and eats gazelle
Competition
The amount of resources taken by one species reduces that available for another e.g. ivy and oak
Mutualism
Both species benefit from a close association e.g. corals and zooxanthellae: coral gains oxygen and organic compounds, algae gains a safe environment and CO₂ for photosynthesis e.g. legumes and Rhizobium: plant gains ammonium, bacteria gains sugars and a safe environment inside root nodules
Pathogenicity
One species lives inside another and causes disease e.g. bacteria in humans
Parasitism
The parasite benefits at the expense of the host from which it obtains food e.g. ticks on deer

Predator-prey relationship

Density-dependent interactions lead to cyclic oscillations in populations

Endemic vs invasive species

Endemic: species that occur naturally in an area
Invasive: alien species that are introduced by humans and multiply quickly due to absence of pests or predators in their original habitat

Chi-squared test

1) Determine two alternative hypotheses
H₀: two species are distributed independently
H₁: two species are associated in their distribution
2) Draw a contingency table and calculate the row and column totals
3) Calculate the expected frequency as:
rowtotal×columntotalgrandtotal\frac{row total \times column total}{grand total}
4) Calculate the degrees of freedom
Degrees of freedom  = (m - 1)(n - 1)
Where m, n = number of rows, columns
5) Find the critical region from a table of chi-squared values and p=0.05
6) Calculate the chi-squared value
x2=(OiEi)2Eix^{2} = \sum \frac{(_{Oi}-_{Ei})^2}{_{Ei}}
x² = chi squared
Oᵢ = observed value
Eᵢ = expected value
7) Accept/reject the null hypothesis
Chi-squared value < critical value
Accept null hypothesis
There is no significant association between the species - they are randomly distributed
Chi-squared value > critical value
Reject null hypothesis
There is evidence at the 5% significance level that there is an association between the species

Antibiotics and allelopathic agents

Antibiotics
Allelopathic agents
Produced by microorganisms to kill or inhibit other microorganism species e.g. penicillin by Penicillium species
Produced by plants to kill or inhibit the growth of neighboring plants e.g. ailanthone by Ailanthus altissima