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Population Biologists
People who study how populations change over time, including whether they are increasing or decreasing and what factors (biotic and abiotic) influence those changes.
Main factors that increase a population
High food availability
Lack of predators
Favorable environmental conditions
Adequate shelter
Low disease spread
Main factors that decrease a population
Limited resources (food, space)
Predation
Disease spread (especially in dense populations)
Environmental stress
Competition
Exponential growth
When the population increases at a rate proportional to its size, resulting in a J-shaped curve where growth accelerates rapidly over time.
Geometric Growth
Type of exponential growth that occurs in discrete steps (e.g., populations doubling each generation), though it appears continuous when graphed
Why is exponential growth unrealistic long-term
Resources become limited
Competition increases
Waste accumulates
Predation and disease increase
Per capita growth rate (r )
Growth rate per individual in a population (e.x. a rabbit population starts with 200 rabbits. After 1 year it increases to 260 rabbits)
Formula for per capita growth rate
r = b - d
Where:
b = birth rate (probability of reproduction)
d = death rate (probability of dying)
r > 0
Population is increasing (births exceed deaths)
r < 0
Population is decreasing (deaths exceed births)
r = 0
Population is stable (births equal deaths)
Exponential growth equation
Δt/ΔN=rN
Where:
N = population size
r = per capita growth rate
A key assumption of exponential growth models
All individuals are identical (same birth and death probabilities), which is unrealistic in real populations
Logistic growth
Population growth that starts exponentially but slows as resources become limited, forming an S-shaped (sigmoid) curve.
Three phases of logistic growth
Lag phase - slow initial growth
Exponential phase - rapid growth
Plateau phase - growth slows and stabilizes
Carrying capacity (K)
Maximum population size that an environment can sustainably support
Why do populations level off at carrying capacity
Limiting factors (food, space, disease, competition) prevent further growth
Life table
Table that tracks survivorship and reproduction of a population by age class, allowing prediction of population trends
Cohort
Group of individuals born at the same time and tracked throughout their lives
Age class
Specific age range (e.g., 0-1 years, 1-2 years) used to categorize individuals in a population
Survivorship (lₓ)
The proportion of the original cohort that survives to a specific age
Formula for survivorship
lx = Nx/No
Where:
No = original cohort size
Nx = number surviving to age x
Mortality (dx)
Proportion of the cohort that dies during a specific age interval
Formula for mortality
dx = lx - lx + 1
Fecundity
Average number of offspring produced per individual (usually females only) in a given age class
Why focus on females in fecundity
Because female reproductive capacity typically limits population growth
Survivorship Curve Type 1
High survival until old age
Example: humans, elephants
Survivorship Curve Type 2
Constant mortality rate
Example: birds, some mammals
Survivorship Curve Type 3
High early mortality, few survive to adulthood
Example: insects, fish
Life history traits
Traits that affect an organism’s schedule of reproduction and survival (e.g., growth rate, age of reproduction, lifespan)
Key limitation of exponential/logistic models addressed by life tables
They assume all individuals are identical, ignoring age structure and reproductive differences
Why don’t extremely large animals (like giant movie monsters) exist?
Because f physical and biological constraints, including structural support, energy demands, and surface area-to-volume limitations
Evolutionary trade-offs
Compromises where improving one trait reduces performance in another
Phenotypic plasticity
Ability of an organism to change its traits in response to environmental conditions without genetic change
Three major challenges animals face
Obtaining and using energy
Avoiding predators (survival)
Reproducing successfully
Herbivore vs carnivore trade-off
Herbivores: efficient at processing plants but cannot digest meat
Carnivores: efficient at processing meat but cannot digest plants
Omnivore
Organism that eats both plants and animals but is not highly specialized in either
Generalist vs specialist trade-off
Generalists:
Eat many foods
High competition
Flexible
Specialists
Eat specific food
Low competition
High risk if food disappears
Endotherm vs ectotherm trade-off
Endotherms (warm-blooded):
Generate own heat
High energy needs
Active anytime
Ectotherms (cold-blooded):
Rely on environment
Lower energy needs
Activity depends on temperature
Hibernation
State of reduced metabolic activity to conserve energy during unfavorable conditions
Migration
Movement to more favorable environments to avoid harsh conditions
Surface area to volume ratio
Relationship between an organism’s outer surface and internal volume, affecting heat loss, metabolism, and resource exchange
Why do small animals have higher metabolic rates
They have a higher surface are to volume ratio, causing faster heat loss and requiring more energy
Why do large animals have lower metabolic rates per unit mass
Their volume increases faster than surface area, reducing heat loss
Trade-offs of being small
Pros: less food needed, more hiding places
Cons: high heat loss, higher predation risk
Trade-offs of being large
Pros: fewer predators, better heat retention
Cons: need more food, fewer hiding places
Interspecific exploitation
Interaction between species where one benefits (+) and one is harmed (-), such as predator-prey, herbivory, and parasitism.
+/ - interactions
+ (benefit): increased fitness
- (cost): decreased fitness
Always measured in terms of fitness (survival + reproduction.
Three major types of consumption interactions
Herbivory
Predation
Parasitism
Why are exploitative interactions extremely numerous
Each species interacts with many others as food or host
Example: 500 species → 25,000 interactions
Lotka-Volterra model
Cyclical relationship between predator and prey populations
What happens when prey populations increase
more food for predators
Predator population increases after a time lag
Population Inertia
Predator populations continue increasing even after prey begins to decline, because reproduction lags behind food intake
Why do predator populations lag behind prey populations
It takes time to convert prey into offspring
Predator reproduction is delayed
When predator population gets too large
Prey declines
Predator eventually declines due to lack of food
WHen predator population declines
Prey population rebounds
Cycle repeats
Key limitation of Lotka-Volterra model
Assumes predator and prey only affect each other, ignores food availability, disease, and environment
Additional factor that strongly affects prey populations
Food availability (carrying capacity of prey)
Herbivory
Consumption of plant material by animals
Can herbivory ever benefit plants
Yes, through seed dispersal and pollination
Why is plant food more available than animal food
Plants are more abundant and base of food chains
Why do herbivores have longer digestive tracts
Plant material is harder to digest (cellulose, lignin) and requires more processin
Carnivory
Killing and consumption of other animals
Why is animal tissue higher quality food
It contains more protein, fat, and is easier to digest
Carnivore adaptations
Claws/talons
Sharp teeth
Venom
Speed
Advanced senses
Search image
A predator’s focus on the most common or profitable prey type, ignoring others
Parasitism
Relationship where parasite benefits and host is harmed but usually not killed
Ectoparasites
Parasites that live on the outside of the host (e.g., ticks, lice)
Endoparasites
Parasites that live inside the host (e.g., tapeworms, hookworms)
Why don’s parasites usually kill their hosts
The host is their resource and habitat
Parasitoid
Parasite-like organism that eventually kills its host
Example of parasitoid behavior
Wasps lay eggs inside host
Larvae consume host internally
Host dies
Parasite vs parasitoid
Host lives vs host dies
Constitutive defenses
Defenses that are always present
Thorns
Shells
Quills
Inducible defenses
Activated only when predators are present
Running
Curling up
Behavioral responses
Mechanical plant defenses
Physical barriers:
Thorns
Bark
Spines
Tough tissues
Chemical plant defenses
Secondary metabolites that deter herbivores
Secondary metabolites
Chemicals evolved specifically to prevent herbivory (e.g., tannins, alkaloids, terpenes)
Tannins
Bind to proteins
Prevent digestion → reduce nutritional value
Crypsis
Camouflage - blending into the environment
Aposematic coloration
Bright warning colors indicating toxicity or danger
Example: Monarch caterpillar (toxic from milkweed)
Müllerian mimicry
Multiple dangerous species look alike
Batesian mimicry
Harmless species mimics a harmful one
Evolutionary arms race
Continuous cycle where:
Prey evolve defenses
Predators evolve counter-adaptations (Example is birds removing caterpillar hairs before eating)
How do herbivores overcome plant defenses
Digestive symbiosis (microbes)
Enzymes like cellulase
Eating less toxic parts
Behavioral strategies
How predators overcome prey defenses
Social hunting
Ambush tactics
Luring prey
Specialized behaviors
Mutualism
A +/+ interaction where both species benefit, increasing fitness
Benefits in mutualism
Increased fitness (survival and/or reproduction)
Cooperation vs mutualism
Mutualism: Between species
Cooperation: within a species
A mutualistic relationship ends when..?
Costs > benefits
Commensalism
A +/0 interaction '
One benefits
One unaffected
Amensalism
A -/0 interaction
One harmed
One unaffected
Symbiosis
Two species living in close constant contact
Facultative mutualism
Species can survive without each other
Example: Honeyguide bird & humans
Obligate mutualism
Species cannot survive or reproduce without each other
Example: Herbivores + cellulose-digesting bacteria
Competition in ecology
A -/- interaction in which both individuals suffer a cost while competing for a limited resource
Ultimate determinant of ecological costs and benefits
Fitness (survival + reproductive success)
How does competition influence evolution
Competition favors better competitors, so traits improving competitive ability become more common over generations.
Intraspecific competition
Competition within the same species