# BIO205H5 Chapter : BIO205 Textbook Notes.docx

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School
UTM
Department
Biology
Course
BIO205H5 Chapter 9: Properties of Populations
What is „population‟ and how is it important to ecology?
A population is a group of individuals of the same species that inhabit a given area.
- Suggests the potential (in sexually reproducing organisms) for interbreeding among member of the population. As such,
the population is a genetic unit. It defines the gene pool, the focus of evolution.
- The population is a spatial concept, requiring a defined spatial boundary for example, the breeding of Chinook salmon
inhabiting the Copper River of Alaska.
o Organisms may be unitary‟ or „modular
o The distribution of a population describes its spatial location, the area over which it occurs. Distribution is based on the
presence and absence of individuals, and is influenced by the occurrence of suitable environmental conditions. In other
words, distribution is a spatial boundary within which all individuals in the population reside.
o When the defined area (of distribution) encompasses all the individuals of a species (total area occupied by a population),
the distribution describes the population‟s geographic range. Within the geographic range of a population, individuals are
not distributed equally throughout the area, and this range can be limited by factors such as geographic barriers (i.e. ocean
between two islands) and interaction with other species (i.e. predation/competition).
Abundance: whereas distribution defines the spatial extent of a population, abundance defines its size the number of
individuals in the population. Abundance is a function of
two factors
: 1) the population density, and 2) the area over which
the population is distributed.
Population density vs. ecological density:
o
Population density
is the number of individuals per unit are (also known as
crude density
), or per volume
o To account for patchiness, ecologists often refer to
ecological density
, the number of individuals per unit of available
living space.
Determining Abundance:
o Sampling:
population size =
mean density of units sampled x total area
Capture-recapture or mark-recapture method: (where
N
= Total population,
n
= number of individuals in the sample,
M
=
initially marked individuals,
R
= recaptured marked individuals)
Detection: observations by techniques such as vocalizations, counts of animal scant seen along a length of roads traveled,
counts of animal tracks (number of individuals crossing a certain track). These counts are called indices of abundance and
cannot function alone as estimates of actual density. However, it can show trends in abundance and comparison between
different habitats.
Population age classes or stages: prereproductive, reproductive, and postreproductive.
Chapter 10: Population Growth
Population growth: refers to how the number of individuals in a population increases or decreases with time.
Two methods of calculating population growth: (assuming the population dynamics are a function only of
demographic processes relating to birth and death à i.e. population is „closed‟ or immigration = emigration)
7. 1.
Exponential growth:
predicts the rate of population change through time. Exponential growth results in a
continuously accelerating rate of population increase (or decelerating rate of decrease) as a function of population
size.
o ; (where „r‟ = birth rate death rate)
9. 2.
Geometric growth:
described over discrete time intervals, using finite growth multiplier (λ). Unlike
exponential growth, this estimate of the per capita growth rate does not assume that all individuals in the
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Unlock all 21 pages and 3 million more documents. population are identical. This estimate does, however, assume that the age-specific rates of birth and death for the
population are constant (they do not change over time).
o N(t) = N(0) λ^t ; where „λ‟ = finite multiplier rate
λ = e^r or r=lnλ
Chapter 14- Predation
Predation: the consumption of one living organism by another
Heterotrophs consume organic matter, predators are
diff from decomposers and scavengers
o They feed on living organisms, function as agents of mortality, regulate prey populations (prey populations reduce/regulate
growth rate of predator populations)
Classifications of predators (excludes decomposers and scavengers) includes heterotrophic organisms
o Carnivores (eat animal tissue)
o Herbivores (eat plant/algal tissue) eat part of the individual plant, may harm the plant, doesn‟t result in mortality
o Omnivores (eat both plant and animal tissues
Parasites and their host organisms share an intimate relationship (not seen in predators and herbivores)
o Parasitoid attacks prey(host) by laying its eggs in host‟s body, egss hatch, larvae feed on host and kill it, don‟t cause
immediate death
Population growth equation FOR PREY POPULATION has two parts:
o 1) exponential model (dN/dt = RN)
o 2) mortality term: represent removal of pretty from the predator population
o Rate at which predators eat prey increases as # of prey increases
o cNprey [c= efficiency of predation]
o rate of predation = per capita rate of consumption * # of predators
o # of prey captured = cNprey * Npred (Npred/ cNpreyNpred)
dNprey/dt = rNprey - cNpreyNpred (represents rate of change in prey population)
Population growth rate for PREDATOR POPULATION has two parts
1) birth rate: amount of food consumed increases as with the rate at which prey is captured (cNpreyNpred).
Birth rate (b) = efficiency with which food is converted into population growth (reproduction) * rate of predation
(cNpreyNpred) or b(cNpreyNpred)
2) mortality rate: represented as dNpred [d= probability of mortality]
dNpred/dt = b(cNpreyNpred) - dNpred (represents rate of change in predator population)
These two lotka-volterra equations for predator and prey population growth function as density-dependent regulator on
each other
o Predators: regulate growth of prey population, function as source of density-dependent mortality
o Prey: function as source of density-dependent regulation on birthrate of predator population
o low predator population= prey population grows exponentially (dNprey/dt = rNprey)
o high predator population = prey mortality will increase until mortality rate (due to predation (cNpreyNpred)) is equal to
growth rate of prey population (rNprey) and net population rate growth for prey species = 0 (dNpred/dt = 0)
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Unlock all 21 pages and 3 million more documents. o Npred = r/c [growth rate of population prey is zero when # of predators = per capita growth rate of prey
population/efficiency of predation]. If predator population exceeds this value, prey population declines. Mortality due to
predation cNpreyNpred > prey population growth rate rNprey
Influence of prey population size on predator population‟s growth rate:
o Growth of predator will be 0 (dNpred/dt = 0) when the rate of predator increase is equal to the rate of mortality
(Nprey = d/bc) = growth of predator population is zero when size of prey population equals mortality rate of predator
population divided by product of efficiency of predation and conversion efficiency of captured prey into new predators
Growth of predator and prey populations are linked by cNpreyNpred
o For prey: cNpreyNpred regulates population growth through mortality
o For predator: cNpreyNpred regulates population growth through reproduction
Regulation of predator population growth is a result of 2 responses by predator to changes in prey population
1) Predator population growth depends on # of prey captured (cNpreyNpred)(more prey=more population)
o Functional response: relationship between rate of prey consumption & # of prey
2 ) Numerical response: increased consumption of prey = increase in predator reproduction [b(cNpreyNpred)]
If we define the rate of predation as # of prey eaten by a single predator during a period of search time (Ts) as Ne, the
per capita rate of predation is :
Ne = (cNprey)Ts
Ne = per capita rate of predation as # of prey eaten by a single predator during a period of search time (Ts)
Nprey = density of prey
C= efficiency of predation
Ts = period of search time
*fig 14.3 on page 286
Model of functional response (developed by Holling)
Type I functional response: # of prey taken per predator increases linearly as prey density increases. Expressed as a
proportion of prey density, rate of predation is constant- independent of prey density - all the time for feeding is spent
searching, search time is shorter than total time associated with consuming Ne prey, assumes no handling time below the
max rate of ingestion, occurs in passive predators (spiders)
Type II functional response: predation rates rise at a decreasing rate to the max level, expressed as a proportion of
prey density, rate of predation declines as prey population grows most commonly reported for predators. Why approaches
an asymptote? Time is divided into searching time and handling time (T = Ts + NeTh), as # of prey captured increases,
handling time increases, further reaching time decreases, this causes a decline in mortality rate of prey with increasing prey
density
Type III functional response: rate of predation is low at first and then increases in a sigmoid (S) fashion, approaching
an asymptote. Plotted as a proportion of prey density, rate of predation is low at low prey density, rising to a maximum
before declining as the rate of predation reaches its maximum high prey density = prey mortality increases in a density-
dependent fashion, low density = mortality rate is negligible.
Factors that result in type III functional response:
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## Document Summary

A population is a group of individuals of the same species that inhabit a given area. Suggests the potential (in sexually reproducing organisms) for interbreeding among member of the population. As such, the population is a genetic unit. It defines the gene pool, the focus of evolution. Distribution is based on the presence and absence of individuals, and is influenced by the occurrence of suitable environmental conditions. Within the geographic range of a population, individuals are not distributed equally throughout the area, and this range can be limited by factors such as geographic barriers (i. e. ocean between two islands) and interaction with other species (i. e. predation/competition). Abundance: whereas distribution defines the spatial extent of a population, abundance defines its size the number of individuals in the population. Abundance is a function of two factors: 1) the population density, and 2) the area over which the population is distributed.