AP® Environmental Science

Unit 3

Topic 3.1

Generalist and Specialist Species

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Species can be classified by the breadth of their ecological niche — the range of conditions, resources, and interactions they use. Generalist species have broad niches; specialist species have narrow niches. This distinction affects vulnerability to environmental change.

CharacteristicGeneralistSpecialist
Niche breadthWide — tolerates many conditionsNarrow — requires specific conditions
DietVaried, omnivorous or opportunisticRestricted to specific food sources
HabitatMultiple habitat typesOne or few specific habitats
AdaptabilityHigh — thrives in changing environmentsLow — vulnerable to environmental change
Extinction riskLowerHigher
ExamplesRaccoons, cockroaches, coyotes, rats, crowsKoalas (eucalyptus only), pandas (bamboo), spotted owls (old-growth forest)
Exam Insight

Specialist species are often used as indicator species because their narrow tolerances make them sensitive to environmental change. If specialists disappear, it signals ecosystem degradation.

MCQ · Topic 3.1

Which species would most likely be negatively affected by deforestation of old-growth forests?

Answer: (B) — Spotted owls are specialist species that require old-growth forest habitat. The other species are generalists that can adapt to various habitats.
Common Mistakes

❌ Assuming generalist = "better." Specialists are highly competitive in their specific niche and outperform generalists there — until conditions change.

Topic 3.2

K-Selected and r-Selected Species

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Species are categorized by their reproductive strategies along a continuum from r-selected (quantity) to K-selected (quality). The letters refer to variables in the logistic growth equation: r = intrinsic growth rate, K = carrying capacity.

Traitr-SelectedK-Selected
Offspring numberMany (hundreds–thousands)Few (1–few)
Parental careLittle to noneExtensive
Body sizeSmallLarge
LifespanShortLong
MaturityEarly sexual maturityLate sexual maturity
Population sizeVariable, boom-and-bustStable, near K
SurvivorshipType III curveType I curve
ExamplesInsects, bacteria, mice, dandelions, salmonElephants, whales, humans, eagles, bears
Key Concept

K-selected species are more vulnerable to extinction because: slow reproduction, long generation times, small populations, and high parental investment mean they cannot quickly recover from population decline. This is why most endangered species are K-selected.

MCQ · Topic 3.2

A species has the following characteristics: long lifespan, few offspring per reproductive cycle, extensive parental care. This species is most likely

Answer: (B) — Long lifespan, few offspring, and extensive parental care are hallmarks of K-selected species. These species typically dominate stable, climax communities where competition is intense.
Common Mistakes

❌ Treating r/K as a binary. It is a CONTINUUM — most species fall somewhere in between.

❌ Saying r-selected species have "no chance" of survival. Their strategy is high reproduction to compensate for high mortality — it works in unstable environments.

Topic 3.3

Survivorship Curves

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Survivorship curves graph the proportion of individuals surviving at each age. They reveal the mortality patterns of a species across its lifespan. Three idealized types exist:

TypeMortality PatternCharacteristicsExamples
Type ILow mortality until old ageK-selected, few offspring, extensive parental care, long lifespanHumans, elephants, whales, primates
Type IIConstant mortality at all agesEqual chance of dying at any ageSongbirds, squirrels, coral, some lizards
Type IIIVery high mortality early, low afterr-selected, many offspring, little/no parental careOysters, sea turtles, oak trees, most fish, insects
Graph Interpretation

On survivorship curves, the Y-axis is logarithmic (number of survivors) and X-axis is age. Type I is concave (curves down late); Type II is a straight diagonal line; Type III is convex (drops steeply early then flattens).

Linking Survivorship to Reproductive Strategy

MCQ · Topic 3.3

A marine fish species produces 2 million eggs per reproductive cycle, of which fewer than 10 survive to adulthood. This species most likely exhibits which survivorship curve?

Answer: (C) — Massive offspring production with very high early mortality is characteristic of Type III survivorship. Most die young, but the few that survive to adulthood have relatively low mortality.
Common Mistakes

Mixing up Type I and Type III: Type I = low early mortality, high late mortality (humans, elephants). Type III = high early mortality, low late mortality (fish, insects). Remember: Type I looks like an "L" flipped horizontally; Type III drops steeply then flattens.

❌ Assuming Type II means "no deaths." Type II means CONSTANT mortality at every age — individuals have equal probability of dying at any point in their life.

FRQ-Style · Topic 3.2–3.3

A wildlife biologist is studying two animal species in the same ecosystem: Species A produces 2 offspring per year, provides extensive parental care, has a 30-year lifespan, and reaches sexual maturity at age 8. Species B produces 500 eggs per year, provides no parental care, has a 3-year lifespan, and reaches sexual maturity at 6 months.

(a) Identify the reproductive strategy (r-selected or K-selected) for each species. Justify your answer using TWO characteristics for each.
(b) Draw and label the expected survivorship curve for each species. Explain the shape of each curve.
(c) A severe drought reduces the habitat by 60%. Predict which species will recover faster and explain why, referencing their reproductive strategy.

(a) Species A is K-selected: few offspring (2/year) and extensive parental care, long lifespan (30 years), late sexual maturity (age 8). Species B is r-selected: many offspring (500 eggs/year), no parental care, short lifespan (3 years), early sexual maturity (6 months).

(b) Species A exhibits a Type I survivorship curve — most individuals survive to old age, then mortality increases sharply. The curve is concave (stays high, then drops steeply at the end). Species B exhibits a Type III survivorship curve — very high mortality early in life, but survivors have low mortality thereafter. The curve drops steeply at first, then flattens.

(c) Species B (r-selected) will recover faster because: (1) high reproductive output (500 eggs/year) allows rapid population rebuilding; (2) early sexual maturity (6 months) means shorter generation time; (3) r-selected species are adapted to unstable environments and can quickly colonize disturbed habitat. Species A's slow reproduction and long generation time make recovery much slower.
Topic 3.4

Carrying Capacity

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Carrying capacity (K) is the maximum population size an environment can sustain indefinitely, given available resources (food, water, shelter, space). It is determined by limiting factors — resources in shortest supply.

Density-Dependent vs. Density-Independent Factors

TypeDefinitionExamplesEffect
Density-DependentImpact increases as population density increasesCompetition, predation, disease, parasitism, waste accumulationRegulates population around K
Density-IndependentImpact is the same regardless of population sizeNatural disasters, extreme weather, wildfires, volcanic eruptionsCan crash population well below K
Key Concept

K is NOT fixed — it changes with resource availability. Drought reduces K; nutrient enrichment increases K. When a population exceeds K (overshoot), resources are depleted, leading to a die-off or population crash.

MCQ · Topic 3.4

In a deer population, disease spreads more rapidly when population density is high. This is an example of a

Answer: (A) — Disease transmission rates increase with population density (more contact between individuals), making it density-dependent. It helps regulate population size around carrying capacity.
Common Mistakes

❌ Thinking carrying capacity is a permanent constant. K changes with environmental conditions — drought, pollution, or habitat loss all reduce K.

❌ Classifying natural disasters as density-dependent. A wildfire kills the same proportion regardless of population density → density-independent.

Topic 3.5

Population Growth and Resource Availability

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Population growth follows two mathematical models: exponential growth (J-curve, unlimited resources) and logistic growth (S-curve, limited resources approaching K).

Growth Models

ModelEquationCurve ShapeWhen It Occurs
ExponentialdN/dt = rNJ-curve (accelerating)Unlimited resources, no competition, new habitat colonization
LogisticdN/dt = rN(K-N)/KS-curve (levels off at K)Limited resources, density-dependent regulation
Variables

N = population size, r = per capita growth rate, K = carrying capacity, dN/dt = change in population over time

Maximum Growth Rate

In logistic growth, the population grows fastest at N = K/2 (half carrying capacity). This is the inflection point of the S-curve.

Overshoot & Die-off

When population exceeds K, resources are depleted → population crashes below K. May oscillate before stabilizing. Reindeer on St. Matthew Island: classic example.

Growth Rate Formula

r = (births - deaths) / N. When r > 0, population grows. When r = 0, population is stable. When r < 0, population declines.

High-Frequency Exam Point

You MUST know that maximum growth rate occurs at K/2. This is the most frequently tested concept in population ecology. At K/2, the (K-N)/K term equals 0.5, balancing growth potential with remaining resource availability.

MCQ · Topic 3.5

A population of rabbits has a carrying capacity of 1,000. At what population size will the growth rate be greatest?

Answer: (B) — In logistic growth, the maximum growth rate occurs at K/2 = 1000/2 = 500. At this point, the population has both sufficient numbers to reproduce rapidly AND enough remaining resources to sustain growth.
Common Mistakes

❌ Thinking maximum growth rate is at the beginning. Early growth may seem fast proportionally, but ABSOLUTE growth rate (dN/dt) peaks at K/2.

❌ Confusing exponential and logistic models. Exponential has NO carrying capacity term. Real populations almost always follow logistic growth.

FRQ-Style · Topic 3.4–3.5

A population of elk is introduced to a new valley with abundant resources. The initial population is 40 elk, and the carrying capacity is estimated at 800.

(a) Describe the expected pattern of population growth over the first 20 years. Identify which growth model applies at the beginning versus later stages.
(b) Calculate the population size at which the elk population will experience the maximum growth rate. Show your work.
(c) After 15 years, a severe winter kills 70% of the elk. Explain what will happen to the growth rate immediately after this event, referencing the logistic growth equation.
(d) Identify ONE density-dependent and ONE density-independent factor that could affect the elk population. Explain how each operates.

(a) Initially, the elk will show near-exponential growth (J-curve) because resources are abundant and the population is far below K. As the population increases and approaches carrying capacity, growth will slow and transition to logistic growth (S-curve), leveling off near K = 800.

(b) Maximum growth rate occurs at K/2 = 800/2 = 400 elk. At this point, the logistic equation dN/dt = rN(K-N)/K is maximized because the (K-N)/K term balances population size with remaining resources.

(c) If 70% die, the population drops to ~30% of its pre-crash size. If the population was near K (800), it would drop to ~240, which is BELOW K/2. The growth rate will INCREASE because (K-N)/K becomes larger — more resources are available per individual, and the population is in the steep part of the S-curve. The population will rebound toward K.

(d) Density-dependent: Competition for food — as elk density increases, individuals compete for limited forage, reducing per-capita nutrition and reproduction rates. Density-independent: Severe winter/blizzard — extreme weather kills elk regardless of population density; a blizzard kills the same proportion whether there are 100 or 800 elk.
Topic 3.6

Age Structure Diagrams

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Age structure diagrams (population pyramids) show the distribution of a population across age groups and sex. The shape predicts future population growth trends.

Pyramid Shapes and Growth Predictions

ShapeGrowth TrendCharacteristicsCountry Examples
Broad Base (Triangle)Rapid growthHigh birth rate, many young, short life expectancyNigeria, Ethiopia, Afghanistan
Column (Rectangle)Stable/slow growthBirth rate ≈ death rate, even distributionUSA, France, Australia
Inverted TriangleDeclining populationLow birth rate, aging population, long life expectancyJapan, Germany, Italy
Key Concept

The proportion of pre-reproductive individuals (0-14 years) determines future growth potential. A country with 40% under 15 will continue growing for decades even if birth rates drop immediately — this is called population momentum.

MCQ · Topic 3.6

A country has an age structure diagram with a very broad base and narrow top. This indicates the country most likely has

Answer: (A) — A broad base means many young people (high birth rate). A narrow top means few elderly (low life expectancy or high death rate). This is characteristic of rapidly growing developing nations.
Common Mistakes

Ignoring population momentum: Even if a broad-base country drops to replacement-level fertility TODAY, its population will keep growing for decades because the large youth cohort hasn't yet reproduced.

❌ Confusing age structure shape with current growth rate. The pyramid shows POTENTIAL — a column-shaped pyramid can still have positive growth if birth rate slightly exceeds death rate.

Topic 3.7

Total Fertility Rate

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Total Fertility Rate (TFR) is the average number of children a woman will have during her reproductive years. It is the most important predictor of population growth trends.

Replacement Level and Population Trends

TFR ValueMeaningPopulation Trend
> 2.1Above replacement levelPopulation growing (assuming no migration)
= 2.1Replacement level fertilityPopulation eventually stabilizes (zero population growth)
< 2.1Below replacement levelPopulation eventually declines
Why 2.1, not 2.0?

The extra 0.1 accounts for infant/child mortality. In developing nations with higher child mortality, replacement TFR may be 2.3-2.5.

Factors Reducing TFR

Education (especially for women), access to contraception, urbanization, economic development, delayed marriage, higher cost of raising children.

Global TFR Decline

World TFR dropped from 5.0 (1950) to ~2.3 (2024). Sub-Saharan Africa remains highest (~4.5). East Asia lowest (~1.2).

Exam Point

Even when TFR drops to replacement level, population continues growing for 1-2 generations due to population momentum — the large cohort of young people already born will still reproduce.

MCQ · Topic 3.7

A country's TFR drops from 4.5 to 2.1 over 20 years. Which prediction is most accurate?

Answer: (B) — Population momentum: the large existing cohort of young people will reproduce even at replacement-level fertility, causing continued growth for 50-70 years before stabilization.
Common Mistakes

Thinking TFR = 2.0 is replacement: Replacement is 2.1 (not 2.0) because it accounts for infant/child mortality. In developing nations with higher child mortality, replacement TFR may be even higher (2.3-2.5).

❌ Assuming low TFR means instant population decline. Due to population momentum, a country can have below-replacement TFR and STILL grow for decades.

Topic 3.8

Human Population Dynamics

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Human population growth is shaped by crude birth rate (CBR), crude death rate (CDR), and migration. The population equation: Growth = (CBR - CDR) + (Immigration - Emigration).

Human Population Milestones

MilestoneYearTime to Add 1 Billion
1 billion1804All of human history
2 billion1927123 years
3 billion196033 years
4 billion197414 years
5 billion198713 years
6 billion199912 years
7 billion201112 years
8 billion202211 years
Doubling Time Rule of 70

Doubling time = 70 / growth rate (%). At 2% growth → 35 years to double. At 1% → 70 years. At 0.5% → 140 years.

Current Status (2024)

World population ~8.1 billion. Growth rate ~0.9%/year (slowing). Projected peak: 10.4 billion around 2086 (UN median).

IPAT Equation

Impact = Population × Affluence × Technology. Environmental impact is a function of how many people, how much each consumes, and the environmental impact of that technology.

Environmental Impact

More people → more resource demand, more waste, more habitat conversion. But AFFLUENCE matters enormously: one American has ~16× the carbon footprint of one person in Sub-Saharan Africa.

MCQ · Topic 3.8

A country has a population growth rate of 1.4%. Using the Rule of 70, approximately how many years will it take for the population to double?

Answer: (C) — Doubling time = 70 / 1.4 = 50 years. The Rule of 70 provides a quick estimate for exponential doubling time.
Common Mistakes

Using Rule of 70 with the wrong number: Use the PERCENTAGE growth rate, not a decimal. If growth rate is 1.4%, divide 70 by 1.4 (not 0.014). Answer: 50 years.

❌ Forgetting that the IPAT equation includes Technology. A country with small population but high affluence and dirty technology can have a larger environmental impact than a large, poor population.

Topic 3.9

Demographic Transition

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The Demographic Transition Model (DTM) describes how countries move through four (or five) stages as they industrialize and develop economically. Birth rates and death rates change predictably.

StageBirth RateDeath RatePopulation GrowthExamples
Stage 1: Pre-industrialHighHighSlow/stableNo modern countries (historical societies)
Stage 2: TransitionalHighRapidly fallingRapid growthMany Sub-Saharan African nations
Stage 3: IndustrialFallingLowSlowing growthIndia, Brazil, Mexico
Stage 4: Post-industrialLowLowStable (ZPG)USA, France, UK, Australia
Stage 5: DeclineVery lowLow (rising slightly)Negative growthJapan, Germany, Italy, South Korea
Why Death Rate Falls First

Improved sanitation, medicine, nutrition, and public health reduce CDR before cultural shifts reduce CBR. This gap causes rapid growth in Stage 2.

Why Birth Rate Falls Later

Urbanization (children = cost, not labor), women's education, access to contraception, delayed marriage, social security (no need for old-age support from children).

Stage 5 Challenges

Aging population, shrinking workforce, pension/healthcare burden, economic stagnation. Japan's population shrinking by ~500,000/year.

Environmental Link

Stage 2-3 countries: population pressure on resources. Stage 4-5 countries: high per-capita consumption pressure. Both have environmental impacts.

High-Frequency Exam Point

The AP exam loves asking: "In which stage does population grow FASTEST?" → Stage 2 (high birth rate + rapidly declining death rate = maximum gap). Also frequently tested: "What drives the transition from Stage 2 to 3?" → industrialization, urbanization, women's education.

MCQ · Topic 3.9

During which stage of the demographic transition does population growth rate reach its maximum?

Answer: (B) — In Stage 2, death rates fall rapidly due to improved medicine and sanitation, while birth rates remain high. This creates the maximum gap between CBR and CDR, resulting in the fastest population growth.
Common Mistakes

❌ Saying Stage 1 has fast growth. Stage 1 has high birth AND high death rates — they cancel out, resulting in slow/stable growth.

❌ Assuming all countries follow the same path. Some may skip stages, and the model doesn't account for war, famine, or policy interventions (China's one-child policy).

FRQ-Style · Topic 3.6–3.9

Country X has the following characteristics: CBR = 42 per 1,000; CDR = 10 per 1,000; TFR = 5.8; 45% of the population is under age 15; life expectancy = 58 years.

(a) Identify the stage of the Demographic Transition Model for Country X. Provide TWO pieces of evidence from the data.
(b) Describe the shape of Country X's age structure diagram and explain what it predicts about future population growth.
(c) Calculate the rate of natural increase (as a percentage) and the doubling time using the Rule of 70. Show your work.
(d) Propose TWO specific strategies that could help Country X transition to Stage 3. Explain the mechanism by which each strategy reduces birth rates.

(a) Country X is in Stage 2 (Transitional) of the DTM. Evidence: (1) High CBR (42/1,000) with much lower CDR (10/1,000) — the hallmark gap of Stage 2 where death rates have fallen but birth rates remain high. (2) TFR of 5.8 is well above replacement level, consistent with Stage 2's high fertility.

(b) Country X has a broad-base triangle age structure (45% under 15 = very wide bottom, narrow top due to 58-year life expectancy). This predicts rapid continued population growth for decades — even if TFR drops immediately, the massive youth cohort will enter reproductive age, creating strong population momentum.

(c) Rate of Natural Increase = (CBR - CDR) / 10 = (42 - 10) / 10 = 3.2% per year. Doubling time = 70 / 3.2 = ~21.9 years (approximately 22 years). This is extremely rapid growth.

(d) Strategy 1: Expand girls' education — educated women marry later, enter the workforce, understand family planning, and choose to have fewer children. Each additional year of female education reduces TFR by ~0.3 children. Strategy 2: Provide access to contraception and family planning services — allows women to control timing and number of pregnancies. In many Stage 2 countries, unmet need for contraception is 20-30%; meeting this need directly reduces unintended pregnancies and lowers TFR.
Exam Prep

Comprehensive Practice Questions

Mixed MCQ and FRQ in AP APES exam style. Attempt each before revealing the answer.

MCQ · Topics 3.1, 3.4

A specialist bird species feeds exclusively on insects found in old-growth forest canopy. Which of the following would most directly reduce the carrying capacity for this species?

Answer: (C) — As a specialist dependent on old-growth canopy, removing mature trees directly eliminates its food source habitat, reducing K. Predation (A) and competition (D) are density-dependent factors that regulate population around K but don't reduce K itself. Rainfall (B) is density-independent and temporary.
MCQ · Topics 3.5, 3.8

Country A has a population of 50 million, a growth rate of 2.8%, and an ecological footprint of 1.2 global hectares per capita. Country B has a population of 20 million, a growth rate of 0.3%, and an ecological footprint of 8.5 global hectares per capita. Which statement best compares their environmental impact?

Answer: (B) — Using IPAT logic: Country A's total footprint = 50M × 1.2 = 60M gha. Country B's total footprint = 20M × 8.5 = 170M gha. Despite having less than half the population, Country B's high per-capita consumption produces nearly 3× the total environmental impact. Affluence matters enormously.
FRQ-Style · Topics 3.2, 3.5, 3.9

A remote island ecosystem contains both r-selected rodent species and K-selected tortoise species. A new invasive predator is introduced to the island.

(a) Compare how the rodent and tortoise populations will likely respond to the new predator in the SHORT TERM (1-5 years).
(b) Explain how the introduction of the predator could change the carrying capacity for the tortoise population. Reference the logistic growth model in your answer.
(c) If the predator is eventually removed after 10 years, predict which species will recover to pre-invasion population levels first. Justify using reproductive strategy concepts.

(a) Short-term: Both populations will decline, but the tortoise population will be more severely affected. Tortoises (K-selected) have few offspring, long generation times, and slow reproduction — they cannot quickly replace individuals lost to predation. Rodents (r-selected) have high reproductive rates and can partially compensate for predation losses through rapid reproduction, though their population will still decline if predation exceeds reproduction.

(b) The invasive predator acts as a new density-dependent limiting factor, effectively lowering the carrying capacity (K) for tortoises. In the logistic model dN/dt = rN(K-N)/K, a reduced K means the population will stabilize at a lower level. Additionally, tortoises' low r value means even small increases in mortality can push dN/dt negative, causing sustained decline rather than oscillation around the new K.

(c) The rodent population will recover first because: (1) r-selected species have high fecundity (many offspring per cycle), so population can rebound rapidly; (2) short generation time means multiple reproductive cycles per year; (3) early sexual maturity allows young individuals to reproduce quickly. Tortoises' K-selected traits (few offspring, late maturity, long generation time) mean recovery could take decades or centuries. If the tortoise population dropped below a minimum viable population threshold, it may not recover at all.
FRQ-Style · Topics 3.6, 3.7, 3.8

The table below shows demographic data for three countries:

Country P: CBR = 38, CDR = 8, TFR = 5.2, % under 15 = 43%
Country Q: CBR = 12, CDR = 10, TFR = 1.8, % under 15 = 16%
Country R: CBR = 18, CDR = 7, TFR = 2.3, % under 15 = 28%

(a) Assign each country to a stage in the Demographic Transition Model. Justify each assignment with data from the table.
(b) Calculate the doubling time for Country P. Show your work.
(c) Explain why Country Q's population may decline even though its CDR (10) is lower than Country P's CDR (8).
(d) Country R is considering policies to reduce its environmental impact. Using the IPAT model, identify TWO approaches besides population reduction that could lower environmental impact.

(a) Country P = Stage 2: High CBR (38), low CDR (8), very high TFR (5.2), and 43% under 15 — large gap between birth and death rates indicates rapid growth typical of Stage 2. Country Q = Stage 5: Low CBR (12), low CDR (10), below-replacement TFR (1.8), only 16% under 15 — birth rate barely exceeds death rate and TFR below 2.1 indicates population decline. Country R = Stage 3: Declining CBR (18), low CDR (7), TFR near replacement (2.3), 28% under 15 — birth rates are falling but still above death rates, consistent with industrializing Stage 3.

(b) Rate of Natural Increase = (CBR - CDR) / 10 = (38 - 8) / 10 = 3.0%. Doubling time = 70 / 3.0 = ~23.3 years.

(c) Country Q's TFR (1.8) is below replacement level (2.1), meaning each generation is smaller than the last. Its CDR appears low now because the population is relatively young and healthy, but as the aging population (84% over 15, small youth cohort) grows older, CDR will rise. The combination of below-replacement fertility and an aging population leads to negative natural increase — deaths will eventually exceed births. Country P's CDR (8) is low due to improved healthcare while its population is young (43% under 15).

(d) Using IPAT (Impact = Population × Affluence × Technology): (1) Reduce Affluence/consumption: promote public transportation, reduce meat consumption, encourage energy conservation and smaller homes — reducing per-capita resource use lowers the A term. (2) Improve Technology: transition to renewable energy, implement cleaner manufacturing processes, develop more efficient agriculture — reducing the environmental impact per unit of consumption lowers the T term.
Exam Prep

High-Frequency Common Mistakes — Full Unit 3

Unit 3 Strategy

Focus study time on logistic growth and K/2 (most tested), demographic transition stages (especially Stage 2), and r-selected vs. K-selected species. The AP exam frequently presents data tables requiring Rule of 70 calculations and asks you to interpret age structure diagrams. Practice identifying density-dependent vs. density-independent factors — this distinction appears in both MCQ and FRQ.

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