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Geometric growth
Discrete population growth model (uses λ), typically applied to populations with distinct breeding seasons
Exponential growth
Continuous population growth model (uses r), suitable for populations with overlapping generations
Logistic growth
Population model with limitation due to carrying capacity (K); growth slows as resources become limiting
Carrying capacity (K)
Maximum population size that can be supported by available resources in logistic growth .
Per capita growth rate
Rate at which each individual in the population increases; highest when the population is small, decreases as it approaches K .
Age structure
Distribution of individuals among age classes in a population; broad-based pyramids indicate growth, narrow indicate decline, straight suggest stability.
Negative density dependence
Per capita growth rate decreases as population density increases (captured by logistic model), often due to limiting resources.
Positive density dependence (Allee Effect)
Per capita growth rate increases as population density increases, occurs at low densities when finding mates or avoiding inbreeding is difficult.
Life history
Schedule of growth, development, reproduction, and survival; organisms allocate time and resources to maximize reproductive success.
Fecundity
Number of offspring produced by an organism per reproductive episode.
Parity
Number of reproductive episodes during an organism's life.
Parental investment
Time and energy given to offspring by parents.
Longevity
Life span of an organism.
Principle of allocation
Resources invested in one trait (e.g., reproduction) cannot be allocated to another (e.g., survival); organisms face trade-offs.
Offspring number vs. size trade-off
Increasing offspring number decreases size/quality; most organisms face this trade-off.
Offspring number vs. parental care trade-off
More offspring means less care per offspring and lower survival, influenced by environmental conditions.
Parental care vs. parental survival trade-off
Having more offspring increases parental effort and can decrease the parent's survival and future reproduction.
"Fast" life history
r-selected species; mature quickly, short lifespan, many offspring, minimal parental care (e.g., fruit flies, weeds).
"Slow" life history
K-selected species; mature slowly, longer lifespan, fewer offspring, high parental investment (e.g., elephants, oak trees).
Trinidadian guppy example
High predation leads to earlier maturity, more offspring but smaller/poorer quality; low predation leads to fewer, larger, higher quality offspring - demonstrates life history trade-offs .
Resource (competition)
Anything an organism consumes/uses that increases population growth rate when more is available; excludes factors like temperature.
Fundamental niche
Full range of conditions under which an organism can survive and reproduce.
Realized niche
Subset of the fundamental niche where an organism actually lives, limited by competition and biotic interactions.
Exploitative competition
Indirect competition for resources (resource competition).
Interference competition
Direct competition, including territoriality or preemption.
Role of abiotic factors
Some species are better adapted to certain abiotic conditions and outcompete others where their preferences overlap.
Apparent competition
Negative effect of one species on another through a shared enemy, not through direct resource competition.
Lotka-Volterra model
Equations modeling predator and prey population dynamics; requires knowing variable meanings and predicting effects on growth rates.
Population cycles
Many predator and prey populations increase and decrease in regular cycles, often due to time delays and interactions (e.g., lynx and hare).
Search efficiency (predators)
Parameter (a) in Lotka-Volterra model; increasing search efficiency means more rapid prey removals, affecting population growth.
Conversion rate (predators)
Parameter (b) in Lotka-Volterra; efficiency of converting consumed prey/resource into offspring.
Stochastic vs deterministic models
Deterministic gives fixed outcomes; stochastic allows randomness and variation in results with the same inputs.
Aposematism
Warning coloration or trait signaling toxicity/unpalatability to predators.
Benefit of sexual reproduction
Creates genetic variation, helping hosts cope with rapidly evolving parasites (Red Queen Hypothesis).
Coevolution
Reciprocal adaptation; two species evolve due to selection pressures from each other, often seen in antagonistic or mutualistic interactions.
Symbiosis
Intimate association between two species living together; can be mutualism, consumer-resource, competition, commensalism, or amensalism.
Endosymbiosis
One organism lives inside another (endosymbiont).
Mutualism
A positive interaction between two species; can aid in defense, resource acquisition, pollination, or seed dispersal.
Generalist mutualist
A species interacting with many other species.
Specialist mutualist
A species interacting with one or a few closely related species.
Obligate mutualists
Require each other to persist, extinction of one can cause loss of the other.
Facultative mutualists
Benefit from each other but interaction is not critical for persistence.
Defensive mutualism example
Acacia trees and ants: ants defend trees in exchange for food and housing.
Coral bleaching
Disruption of coral-zooxanthellae mutualism mainly due to high temperatures; leads to coral starvation or death.
Mycorrhizal fungi
Mutualistic fungi helping plants obtain water/nutrients in exchange for sugars.
Rhizobium-legume mutualism
Bacteria convert atmospheric nitrogen to ammonia in exchange for shelter and food.
Yucca moth/yucca plant
Specialist obligate mutualism: moth pollinates yucca and lays eggs in flower; plant aborts flowers if cost too high.
Climate anomaly
Difference between measured value and a reference or baseline, often used in climate data.
Keeling Curve
Record of atmospheric CO2 increase from pre-industrial mean (278 ppm) to current levels (>400 ppm).
Direct evidence of warming
Instrumental record data (thermometers, satellites) for temperature, sea level, etc.
Proxy evidence
Trees rings, ice core isotopes, etc. used to reconstruct past climates.
Causes of sea level rise
Melting ice on land and thermal expansion of warming sea water.
Biological consequences of climate change
Direct effects on populations (extinction, decline), indirect on interactions (phenology, mismatch); ocean acidification, phenology changes.
Phenology
Seasonal timing of plant and animal life history events (migration, flowering, reproduction, hibernation).
Trophic mismatch
Asynchrony between interdependent species due to climate-driven timing changes (e.g., caribou calving and plant emergence).
Biological responses to climate change
Species may decline/extinct, acclimate (plasticity), shift range, or evolve; each with limits.
Four main greenhouse gases
CO2, methane (CH4), nitrous oxide (N2O), water vapor.