30 Required Models & Theories for AP Human Geography
What You Need to Know
You’re expected to recognize, define, sketch (when relevant), and apply the most-used AP Human Geography models and theories—then evaluate limits/assumptions. Most exam questions aren’t “recite the model”; they’re “use the model to explain a real place” (and note why it doesn’t perfectly fit).
FRQ super-rule: Always do (1) define, (2) apply to the prompt’s place, (3) add a limitation/exception.
The “30” list (high-frequency models/theories)
Use this as your master checklist.
| # | Model / Theory | Core idea (what it explains) | What AP questions usually ask you to do |
|---|---|---|---|
| 1 | Central Place Theory (Christaller) | How settlements space out to provide goods/services | Identify hexagon market areas, range/threshold, predict where higher-order services locate |
| 2 | Rank-Size Rule | City sizes follow predictable rank pattern | Compute/compare expected sizes; spot deviations |
| 3 | Primate City Rule | One city dominates (often >2\times #2 city) | Explain colonial legacy, primacy effects (migration, investment) |
| 4 | Concentric Zone Model (Burgess) | US industrial city land use in rings | Label rings; connect to invasion/succession, filtering, disamenities |
| 5 | Sector Model (Hoyt) | Land use in wedges/sectors along transport routes | Explain why high-rent sector extends along corridors |
| 6 | Multiple Nuclei Model (Harris–Ullman) | Cities develop multiple centers (nodes) | Match land uses to nodes (airport, university, port) |
| 7 | Latin American City Model (Griffin–Ford) | Elite spine; CBD + peripheral squatter areas | Identify spine/elite sector, in situ accretion, periferico |
| 8 | Southeast Asian City Model (McGee) | Mix of colonial CBD + port zone + ethnic/“alien” zones | Identify commercial spine, old port, mixed land use |
| 9 | Bid-Rent Theory (Alonso) | Land value/rent declines with distance from center | Explain competition for accessible land (retail vs housing) |
| 10 | Demographic Transition Model (DTM) | How birth/death rates change with development | Place a country in a stage, predict growth, explain causes |
| 11 | Epidemiological Transition Model (ETM) | Causes of death shift with development | Match stages to disease patterns; discuss diffusion of disease |
| 12 | Malthusian Theory | Population grows faster than food → checks | Apply to famine/poverty debates; critique with tech/trade |
| 13 | Boserup Thesis | Population pressure drives agricultural intensification | Explain innovations (terracing, irrigation) as response |
| 14 | Population Pyramid + Dependency Ratio | Age/sex structure & economic burden | Interpret momentum, aging, youth bulge; compute dependency |
| 15 | Push–Pull Migration Model (Lee) | Migration driven by pushes/pulls + obstacles | Categorize factors; include intervening obstacles |
| 16 | Ravenstein’s Laws of Migration | Common migration patterns (short moves, step, urban pull) | Use “laws” to justify observed flows |
| 17 | Zelinsky Mobility Transition Model | Migration patterns change by development stage | Predict rural→urban vs international migration trends |
| 18 | Gravity Model | Interaction increases with size, decreases with distance | Calculate relative interaction; compare city pairs |
| 19 | Distance Decay / Friction of Distance | Effects weaken with distance (or cost/time) | Explain trade, diffusion, commuting, service areas |
| 20 | Environmental Determinism vs Possibilism | Environment controls vs humans adapt/modify | Critique deterministic claims; show cultural/tech mediation |
| 21 | Sequent Occupance | Places have layers of cultural landscape over time | Explain mixed toponyms, land use layers, architecture |
| 22 | Hägerstrand Innovation Diffusion (S-curve) | Diffusion over time: slow → rapid → leveling | Sketch/interpret adoption curve; connect to networks |
| 23 | Language Diffusion Models (Tree vs Wave) | Tree = divergence; Wave = spread via contact | Choose model that fits (isolation vs contact) |
| 24 | Geopolitical Theories: Heartland vs Rimland | Who controls “pivot” land (Heartland) or coastal rim (Rimland) controls power | Apply historically (Russia/Eurasia) and critique modern relevance |
| 25 | Shatterbelt Theory | Conflict-prone region between stronger powers | Identify examples; explain external pressure + internal division |
| 26 | von Thünen Model | Agricultural land use rings around a market | Predict crop placement by transport cost/perishability |
| 27 | Weber Least-Cost Theory | Industry locates to minimize transport + labor costs | Choose site (near inputs/market); note agglomeration |
| 28 | Rostow Stages of Economic Growth | Linear development stages from traditional → mass consumption | Place countries; critique Eurocentric/linear assumptions |
| 29 | Wallerstein World-Systems Theory | Core exploits periphery; semiperiphery mediates | Classify countries; explain dependency/unequal exchange |
| 30 | Clark–Fisher Sector Model | Economy shifts from primary → secondary → tertiary (→ quaternary/quinary) | Link to development, jobs, urbanization patterns |
Step-by-Step Breakdown
Use this workflow for any model/theory question (MCQ or FRQ).
Identify the unit/theme
- Urban land use? (Burgess/Hoyt/Multiple Nuclei/Bid-rent)
- Population? (DTM/ETM/pyramids)
- Migration? (Push–pull/Ravenstein/Zelinsky/Gravity)
- Development/industry/ag? (Rostow/Wallerstein/Weber/von Thünen/Clark–Fisher)
Name + define the model in 1 sentence
- Example: “The DTM explains how birth/death rates shift as a country industrializes, changing natural increase.”
Apply to the specific place in the prompt (2 concrete details)
- Use real indicators: TFR, CBR/CDR, aging, informal settlements, corridors, ports, coal/iron, labor cost, etc.
Add one limitation/exception (this is where points hide)
- Models often assume: isotropic plain, closed economy, stable politics, universal path, no colonial legacy, etc.
Mini worked examples (how to “apply + limit” fast)
von Thünen
- Apply: “A city market encourages dairy/market gardening close in because they’re perishable and costly to ship.”
- Limit: “Refrigeration, highways, and global trade break the neat ring pattern.”
DTM
- Apply: “Country X has a high CBR and rapidly falling CDR due to sanitation → Stage 2 rapid growth.”
- Limit: “War, HIV/AIDS, or state policies can interrupt the expected pathway.”
Central Place Theory
- Apply: “Higher-order services (specialty hospital) cluster in a regional city because they need a larger threshold population and people will travel farther (greater range).”
- Limit: “Physical barriers + online services + uneven wealth distort hexagonal spacing.”
Key Formulas, Rules & Facts
Core quantitative tools (you can actually compute)
| Tool | Formula | When to use | Notes |
|---|---|---|---|
| Gravity Model | I = \frac{P_1 \times P_2}{d^2} | Compare likely interaction between two places | Bigger populations → more interaction; distance reduces it (exponent may vary) |
| Rank-Size Rule | P_n = \frac{P_1}{n} | Estimate nth city size given largest city | Strong fit = integrated urban system |
| Dependency Ratio | \text{DR} = \frac{(0\text{–}14) + (65+)}{15\text{–}64} \times 100 | Measure pressure on working-age population | High DR can be from youth or aging |
Urban models: must-know labels
- Burgess (Concentric Zones) (inside → out): CBD → Zone of Transition → Working-Class → Middle-Class → Commuter/Suburbs.
- Hoyt (Sectors): High-rent and industry form wedges along rail/roads/water.
- Multiple Nuclei: Separate nodes (CBD, manufacturing, university, airport) shape land use.
- Latin American (Griffin–Ford): CBD + commercial spine to elite sector, with zone of maturity and peripheral squatter settlements; in situ accretion in between.
- Southeast Asian (McGee): Colonial CBD + port/old city, with commercial spine and mixed land uses; strong ethnic quarters.
- Bid-rent: Different land users “bid” for access; retail usually bids highest near the center.
Population models: high-yield stage clues
DTM Stage 1: High CBR, high CDR (little growth).
Stage 2: CDR drops fast (sanitation/medicine) → population boom.
Stage 3: CBR drops (urbanization, contraception, women’s education).
Stage 4: Low CBR/CDR (stable/slow growth).
Stage 5 (often taught): CBR below CDR (natural decrease), aging.
ETM (classic framing):
- Stage 1: Pestilence/famine
- Stage 2: Receding pandemics
- Stage 3: Degenerative diseases
- Stage 4/5 (often added): Delayed degenerative + re/emerging infections
Development/industry/agriculture: what each assumes
- Rostow: Development is linear; growth comes from investment/industrialization.
- Wallerstein: Development is relational (core–periphery); inequality is structural.
- Weber: Firms choose sites to minimize transport + labor (agglomeration can pull firms together).
- von Thünen assumes: One market city, isotropic plain, equal transport in all directions, farmers maximize profit.
- Clark–Fisher: As development rises, employment shifts primary → secondary → tertiary (and beyond).
Examples & Applications
1) Gravity Model (migration/shopping flows)
- Setup: City A P_1 = 2,000,000, City B P_2 = 500,000, distance d = 100.
- Insight: I = \frac{2,000,000 \times 500,000}{100^2} is much larger than if distance doubles (because distance is squared), so nearby big cities dominate interaction.
- Exam twist: If two options have similar distance, population sizes decide; if populations similar, distance decides.
2) Rank-size vs primate (urban system diagnosis)
- Setup: Largest city is 12 million; second is 3 million.
- Insight: Since 12 \text{ million} > 2 \times 3 \text{ million}, it fits primate dominance.
- Application: Explain with colonial primacy, centralized investment, or political centralization.
3) Weber (industrial location)
- Setup: A steel mill needs bulky inputs (iron ore + coal) and sells to a major metro market.
- Insight: If inputs lose weight during processing, the plant tends to locate near the inputs (to reduce transport of bulky raw materials). If market access dominates, it shifts toward the market.
- Limitation: Modern firms may prioritize skilled labor, just-in-time logistics, or tax incentives over classic least-cost.
4) Latin American city model (inequality pattern)
- Setup: City shows elite high-rise development along one corridor from CBD; large informal settlements on periphery.
- Insight: That corridor is the spine/elite sector; peripheral informal housing matches periferico.
- Limitation: Rapid globalization can produce edge cities and polycentric patterns not captured by the model.
Common Mistakes & Traps
DTM stage mix-ups: You call a country “Stage 3” just because it’s growing.
- Why wrong: Stage 3 is defined by falling CBR, not just growth.
- Fix: Look for why CBR is dropping (contraception, women’s education, urbanization).
Treating models as universal laws: You force-fit Burgess or von Thünen to every city/region.
- Why wrong: Many models assume flat land, single center, no planning, older industrial context.
- Fix: Always add a limitation (topography, zoning, highways, globalization, history).
Confusing rank-size with primate:
- Why wrong: Rank-size is a distribution pattern; primate is one-city dominance.
- Fix: Rank-size uses P_n = \frac{P_1}{n}; primate checks if the largest is disproportionately big (often >2\times #2).
Diffusion type confusion (contagious vs hierarchical):
- Why wrong: You describe “spread through social media influencers” as contagious.
- Fix: Influencer/elite-to-others = hierarchical; neighborhood-to-neighborhood = contagious.
Misreading population pyramids: You see a wide base and say “aging population.”
- Why wrong: Wide base = high youth dependency and likely high CBR.
- Fix: Aging shows as a wide/top-heavy upper structure and higher old-age dependency.
Overstating Heartland/Rimland today:
- Why wrong: Modern power includes air, cyber, trade networks, nukes.
- Fix: Use them as historical/geostrategic lenses, then critique modern limits.
Weber without agglomeration: You only mention transport costs.
- Why wrong: Clustering benefits (shared labor pool, suppliers) can outweigh transport.
- Fix: Add “agglomeration economies can pull firms into clusters even if costs rise.”
Memory Aids & Quick Tricks
| Trick / mnemonic | Helps you remember | When to use |
|---|---|---|
| DTM: 1 High/High → 2 Death drops → 3 Birth drops → 4 Low/Low → 5 Below replacement | Stage logic | Any population-growth prompt |
| Burgess: “CBD–Transition–Working–Middle–Commuter” | Order of concentric zones | Urban land-use MCQ/FRQ |
| Hoyt = “pie slices” | Sector wedges along transport | Distinguish from Burgess |
| Multiple nuclei = “many downtowns” | Nodes like airport/university create centers | Modern/polycentric cities |
| CPT: “Range = how far people will go; Threshold = how many people needed” | Two most-tested CPT terms | Service distribution questions |
| Primate = “primary city” dominates | Quick primate check | Compare city sizes |
| Malthus vs Boserup: “Malthus = limits; Boserup = innovation” | Opposing population-food theories | Food security questions |
| Diffusion: C-H-S-R (Contagious, Hierarchical, Stimulus, Relocation) | Four diffusion types | Culture/language/religion diffusion |
Quick Review Checklist
- You can name + define each of the 30 models/theories in one sentence.
- You can sketch/label: Burgess, Hoyt, Multiple Nuclei, Latin American, Southeast Asian, CPT hexagons.
- You know the 3 key computations: Gravity I = \frac{P_1P_2}{d^2}, **Rank-size** P_n = \frac{P_1}{n}, **Dependency ratio** \frac{(0\text{–}14)+(65+)}{15\text{–}64}\times 100.
- You can match DTM/ETM stages to real indicators (CBR/CDR, aging, disease types).
- You can apply Weber (inputs/market/labor/agglomeration) and von Thünen (perishability/transport).
- You can contrast Rostow (linear) vs Wallerstein (structural core–periphery).
- You always add one limitation/assumption when applying a model.
You’ve got this—focus on application + limitations, and these models will start feeling like free points.