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 / TheoryCore idea (what it explains)What AP questions usually ask you to do
1Central Place Theory (Christaller)How settlements space out to provide goods/servicesIdentify hexagon market areas, range/threshold, predict where higher-order services locate
2Rank-Size RuleCity sizes follow predictable rank patternCompute/compare expected sizes; spot deviations
3Primate City RuleOne city dominates (often >2\times #2 city)Explain colonial legacy, primacy effects (migration, investment)
4Concentric Zone Model (Burgess)US industrial city land use in ringsLabel rings; connect to invasion/succession, filtering, disamenities
5Sector Model (Hoyt)Land use in wedges/sectors along transport routesExplain why high-rent sector extends along corridors
6Multiple Nuclei Model (Harris–Ullman)Cities develop multiple centers (nodes)Match land uses to nodes (airport, university, port)
7Latin American City Model (Griffin–Ford)Elite spine; CBD + peripheral squatter areasIdentify spine/elite sector, in situ accretion, periferico
8Southeast Asian City Model (McGee)Mix of colonial CBD + port zone + ethnic/“alien” zonesIdentify commercial spine, old port, mixed land use
9Bid-Rent Theory (Alonso)Land value/rent declines with distance from centerExplain competition for accessible land (retail vs housing)
10Demographic Transition Model (DTM)How birth/death rates change with developmentPlace a country in a stage, predict growth, explain causes
11Epidemiological Transition Model (ETM)Causes of death shift with developmentMatch stages to disease patterns; discuss diffusion of disease
12Malthusian TheoryPopulation grows faster than food → checksApply to famine/poverty debates; critique with tech/trade
13Boserup ThesisPopulation pressure drives agricultural intensificationExplain innovations (terracing, irrigation) as response
14Population Pyramid + Dependency RatioAge/sex structure & economic burdenInterpret momentum, aging, youth bulge; compute dependency
15Push–Pull Migration Model (Lee)Migration driven by pushes/pulls + obstaclesCategorize factors; include intervening obstacles
16Ravenstein’s Laws of MigrationCommon migration patterns (short moves, step, urban pull)Use “laws” to justify observed flows
17Zelinsky Mobility Transition ModelMigration patterns change by development stagePredict rural→urban vs international migration trends
18Gravity ModelInteraction increases with size, decreases with distanceCalculate relative interaction; compare city pairs
19Distance Decay / Friction of DistanceEffects weaken with distance (or cost/time)Explain trade, diffusion, commuting, service areas
20Environmental Determinism vs PossibilismEnvironment controls vs humans adapt/modifyCritique deterministic claims; show cultural/tech mediation
21Sequent OccupancePlaces have layers of cultural landscape over timeExplain mixed toponyms, land use layers, architecture
22Hägerstrand Innovation Diffusion (S-curve)Diffusion over time: slow → rapid → levelingSketch/interpret adoption curve; connect to networks
23Language Diffusion Models (Tree vs Wave)Tree = divergence; Wave = spread via contactChoose model that fits (isolation vs contact)
24Geopolitical Theories: Heartland vs RimlandWho controls “pivot” land (Heartland) or coastal rim (Rimland) controls powerApply historically (Russia/Eurasia) and critique modern relevance
25Shatterbelt TheoryConflict-prone region between stronger powersIdentify examples; explain external pressure + internal division
26von Thünen ModelAgricultural land use rings around a marketPredict crop placement by transport cost/perishability
27Weber Least-Cost TheoryIndustry locates to minimize transport + labor costsChoose site (near inputs/market); note agglomeration
28Rostow Stages of Economic GrowthLinear development stages from traditional → mass consumptionPlace countries; critique Eurocentric/linear assumptions
29Wallerstein World-Systems TheoryCore exploits periphery; semiperiphery mediatesClassify countries; explain dependency/unequal exchange
30Clark–Fisher Sector ModelEconomy 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).

  1. 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)
  2. Name + define the model in 1 sentence

    • Example: “The DTM explains how birth/death rates shift as a country industrializes, changing natural increase.”
  3. 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.
  4. 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)

  1. 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.”
  2. 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.”
  3. 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)

ToolFormulaWhen to useNotes
Gravity ModelI = \frac{P_1 \times P_2}{d^2}Compare likely interaction between two placesBigger populations → more interaction; distance reduces it (exponent may vary)
Rank-Size RuleP_n = \frac{P_1}{n}Estimate nth city size given largest cityStrong fit = integrated urban system
Dependency Ratio\text{DR} = \frac{(0\text{–}14) + (65+)}{15\text{–}64} \times 100Measure pressure on working-age populationHigh 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

  1. 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).
  2. 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).
  3. 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).
  4. 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.
  5. 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.
  6. 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.
  7. 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 / mnemonicHelps you rememberWhen to use
DTM: 1 High/High → 2 Death drops → 3 Birth drops → 4 Low/Low → 5 Below replacementStage logicAny population-growth prompt
Burgess: “CBD–Transition–Working–Middle–Commuter”Order of concentric zonesUrban land-use MCQ/FRQ
Hoyt = “pie slices”Sector wedges along transportDistinguish from Burgess
Multiple nuclei = “many downtowns”Nodes like airport/university create centersModern/polycentric cities
CPT: “Range = how far people will go; Threshold = how many people needed”Two most-tested CPT termsService distribution questions
Primate = “primary city” dominatesQuick primate checkCompare city sizes
Malthus vs Boserup: “Malthus = limits; Boserup = innovation”Opposing population-food theoriesFood security questions
Diffusion: C-H-S-R (Contagious, Hierarchical, Stimulus, Relocation)Four diffusion typesCulture/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.