Layer 4: Coupling Rules

The Structural Rules Behind Every Simulation

100+ empirically calibrated coupling rules enforce causal economic coherence across every simulation path. Each rule has a trigger condition, a structural rationale, and an academic citation.

Coupling rules are the backbone of WorldSim's structural realism. They prevent economically impossible trajectories by enforcing known causal relationships between macroeconomic, fiscal, demographic, and social indicators, calibrated against decades of empirical research.

100+
SCE Structural Coupling Rules
13
BSE Black Swan Event Rules
100+
Academic Sources
Jump to Category

Macro & Growth

6 rules governing GDP, unemployment, and inflation interactions

SCE SCE-01

Productivity Upshift Spillover

When GDP per capita growth is strongly above trend, unemployment tends to fall (Okun-style coupling).

Trigger Condition

If GDP per capita YoY growth ≥ +2.0pp above its 5y moving average for 2 consecutive years.

Citation: Okun, A. M. (1962). Potential GNP: Its Measurement and Significance. Proceedings of the Business and Economic Statistics Section.
SCE SCE-02

Okun Downturn Coupling

Sustained negative GDP per capita growth increases unemployment and depresses GDP distribution (Okun-style downturn coupling).

Trigger Condition

If GDP per capita YoY growth ≤ -1.5pp for 2 consecutive years.

Citation: Okun, A. M. (1962). Potential GNP: Its Measurement and Significance. Proceedings of the Business and Economic Statistics Section.
SCE SCE-03

Disinflationary Boom

Tight labor market with low inflation can support higher GDP growth, with mild inflation pressure later.

Trigger Condition

If unemployment ≤ (its 10y median - 0.8σ) AND inflation ≤ 2.0% for 2y.

Citation: Phillips, A. W. (1958). The Relation between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom. Economica.
SCE SCE-04

Phillips Tight-Labor Inflation Pressure

Very low unemployment with already elevated inflation increases inflation further (Phillips curve pressure).

Trigger Condition

If unemployment ≤ (10y median - 1.0σ) for 2y AND inflation already ≥ 2.5%.

Citation: Phillips, A. W. (1958). The Relation between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom. Economica.
SCE SCE-28

Rapid Labor Tightening Wage Pressure

Fast unemployment declines signal tightening labor markets, raising wage/price pressures.

Trigger Condition

If unemployment declines by ≥ 2.0pp within 2 years.

Citation: Phillips, A. W. (1958). The Relation between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom. Economica. DOI →
SCE SCE-46

Employment Recovery GDP Lift

Sustained unemployment reduction signals improving economic conditions and supports GDP per capita growth.

Trigger Condition

If unemployment falls by ≥ 1.5pp within 2 years.

Citation: Okun, A. M. (1962). Potential GNP: Its Measurement and Significance. Proceedings of the Business and Economic Statistics Section. Source →

Fiscal & Tax

6 rules governing debt dynamics, government spending, and tax structure

SCE SCE-05

Debt Overhang Headwind

Very high public debt sustained over time depresses growth and raises labor-market slack.

Trigger Condition

If public_debt ≥ 120% GDP for 3 consecutive years.

Citation: Reinhart, C. M. & Rogoff, K. S. (2010). Growth in a Time of Debt. American Economic Review, 100(2), 573-578.
SCE SCE-07

Fiscal Squeeze (Austerity Drag)

Large spending cuts can depress growth and raise unemployment in the short run.

Trigger Condition

If government expenditure drops by ≥ 3pp within 2 years.

Citation: IMF (2015). Fiscal Policy and Long-Term Growth. IMF Policy Paper / Staff Discussion.
SCE SCE-09

Tax Wedge Employment Drag

Very high tax wedge sustained over time raises unemployment.

Trigger Condition

If tax_wedge ≥ 42% for 3 consecutive years.

Citation: OECD (ongoing). Taxing Wages. OECD Data/Publication.
SCE SCE-30

Deficit Drift

Persistent large deficits raise debt dynamics and can add mild inflation pressure.

Trigger Condition

If government expenditure increases by ≥ 2pp AND revenue does not increase over same period.

Citation: Blanchard, O. (2019). Public Debt and Low Interest Rates. American Economic Review, 109(4), 1197-1229. DOI →
SCE SCE-32

Spending Stimulus (Countercyclical)

When growth stalls, countercyclical spending can temporarily lift output but raises debt.

Trigger Condition

If GDP growth ≤ 0% for 1y AND government expenditure increases by ≥ 2pp.

Citation: IMF (2015). Fiscal Policy and Long-Term Growth. IMF Policy Paper. Source →
SCE SCE-33

Debt-Service Sensitivity

High inflation alongside high debt can increase debt dynamics uncertainty.

Trigger Condition

If inflation ≥ 5% AND public_debt ≥ 90% GDP for 2y.

Citation: Blanchard, O. (2019). Public Debt and Low Interest Rates. American Economic Review, 109(4), 1197-1229. DOI →

Monetary Policy

4 rules governing interest rate transmission and monetary shocks

SCE SCE-90

Monetary Tightening Response

If inflation remains elevated for multiple years, monetary tightening reduces growth with a lag.

Trigger Condition

If inflation ≥ 4.0% for 2 consecutive years.

Citation: Romer, C. D. & Romer, D. H. (2004). A New Measure of Monetary Shocks. American Economic Review, 94(4), 1055-1084. DOI →
SCE SCE-101

Sustained Monetary Tightening

Sustained policy rate increase of 1.5+ percentage points signals a meaningful tightening cycle.

Trigger Condition

If interest rate rises by ≥ 1.5pp over 2 years.

Citation: Taylor, J. B. (1993). Discretion versus Policy Rules in Practice. Carnegie-Rochester Conference Series on Public Policy.
SCE SCE-102

Sustained Monetary Easing

Sustained policy rate cut stimulates demand; GDP and employment improve but housing re-inflates.

Trigger Condition

If interest rate falls by ≥ 1.5pp over 2 years.

Citation: Cover, J. P. (1992). Asymmetric Effects of Positive and Negative Money-Supply Shocks. Quarterly Journal of Economics, 107(4).
SCE SCE-104

Rate Shock: Emergency Hike

Emergency rate hike of 3+ percentage points causes acute economic contraction.

Trigger Condition

If interest rate rises by ≥ 3.0pp in 1 year.

Citation: Romer, C. D. & Romer, D. H. (2004). A New Measure of Monetary Shocks. American Economic Review, 94(4), 1055-1084.

Housing

4 rules governing rent pass-through, affordability, and migration-driven demand

SCE SCE-12

Rent Shock Pass-through to Inflation

High rent inflation passes through to headline inflation.

Trigger Condition

If rent index YoY growth ≥ +6% for 2 consecutive years.

Citation: Phillips, A. W. (1958). The Relation between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom. Economica.
SCE SCE-14

Affordability Squeeze

Persistent rent-to-income deterioration reduces in-migration and fertility over time.

Trigger Condition

If rent index growth exceeds GDP per capita growth by ≥ 3pp for 3y.

Citation: United Nations (2022). World Population Prospects 2022. UN DESA, Population Division. Source →
SCE SCE-15

Mortgage Stress via Inflation

High inflation combined with stretched affordability increases stress, raises unemployment and corrects prices.

Trigger Condition

If inflation ≥ 4% for 2y AND price_to_income ≥ (median + 1.0σ).

Citation: Case, K. E. & Shiller, R. J. (2003). Is There a Bubble in the Housing Market? Brookings Papers on Economic Activity. Source →
SCE SCE-36

High Net Migration Housing Pressure

High net migration increases housing demand, raising rents and price-to-rent ratios.

Trigger Condition

If net migration ≥ +5 per 1000 for 2y.

Citation: Borjas, G. J. (2003). The Labor Demand Curve Is Downward Sloping. Quarterly Journal of Economics, 118(4), 1335-1374. DOI →

Energy & Petrol

5 rules governing energy security, electricity pricing, and fuel cost transmission

SCE SCE-21

Energy Self-Sufficiency Buffer

High energy self-sufficiency reduces inflation pass-through and stabilizes electricity prices.

Trigger Condition

If energy_self_sufficiency ≥ 70% for 3y.

Citation: International Energy Agency (IEA). Electricity prices for households and drivers. Source →
SCE SCE-22

Energy Import Dependence Vulnerability

Low energy self-sufficiency increases exposure to external price shocks.

Trigger Condition

If energy_self_sufficiency ≤ 30% for 3y.

Citation: International Energy Agency (IEA). Electricity prices for households and drivers. Source →
SCE SCE-54

Energy Poverty Alert

Household electricity prices above $0.35/kWh for 2 years suppresses GDP and raises inflation.

Trigger Condition

If electricity_price > $0.35/kWh for 2 consecutive years.

Citation: IEA. Energy Prices and Taxes (Quarterly Statistics). Source →
SCE SCE-91

Energy Competitiveness Shock

When electricity prices rise sharply or remain high, competitiveness deteriorates.

Trigger Condition

If electricity prices rise by ≥ $0.05/kWh within 2y OR remain ≥ $0.35/kWh for 2y.

Citation: Hamilton, J. D. (1983). Oil and the Macroeconomy Since World War II. Journal of Political Economy, 91(2), 228-248. DOI →
SCE SCE-109

Fuel Cost Pass-Through

Sustained fuel price increases feed into transport, logistics, heating, and food costs.

Trigger Condition

If petrol price rises ≥ 15% YoY for 1 year.

Citation: Hamilton, J. D. (2003). What Is an Oil Price Shock? Journal of Econometrics, 113(2), 363-398.

Demographics & Migration

5 rules governing ageing, fertility, brain drain, and migration dynamics

SCE SCE-34

Ageing Productivity Drag

Population ageing reduces productivity growth; labor force shrinkage can lower unemployment.

Trigger Condition

If population 65+ ≥ 25% for 5y.

Citation: United Nations (2022). World Population Prospects 2022. UN DESA, Population Division. Source →
SCE SCE-35

Low Fertility Ageing Acceleration

Sustained low fertility accelerates ageing; a policy response proxy is higher net migration.

Trigger Condition

If total fertility rate ≤ 1.4 for 5y.

Citation: United Nations (2022). World Population Prospects 2022. UN DESA, Population Division. Source →
SCE SCE-47

Migration Labor Dividend

Sustained positive net migration expands the labor force and supports economic growth.

Trigger Condition

If net migration ≥ +3 per 1000 for 3 consecutive years.

Citation: Card, D. (1990). The Impact of the Mariel Boatlift on the Miami Labor Market. Industrial and Labor Relations Review, 43(2). DOI →
SCE SCE-55

Demographic Winter Alert

Fertility below 1.3 for 3 years signals collapsing future labour force and tax base.

Trigger Condition

If total fertility rate < 1.3 for 3 consecutive years.

Citation: Kohler, H.-P., Billari, F. C. & Ortega, J. A. (2002). The Emergence of Lowest-Low Fertility in Europe. Population and Development Review, 28(4). DOI →
SCE SCE-63

Brain Drain Technology Erosion

Persistent negative net migration depletes the educated working-age population.

Trigger Condition

If net migration ≤ -2.0 per 1000 for 3 consecutive years.

Citation: Docquier, F. & Rapoport, H. (2012). Globalization, Brain Drain, and Development. Journal of Economic Literature, 50(3). DOI →

Technology & AI

4 rules governing innovation, digital divides, and AI displacement dynamics

SCE SCE-59

Innovation-Led Growth Dividend

Sustained R&D above 2.5% GDP drives endogenous productivity growth through innovation.

Trigger Condition

If R&D expenditure ≥ 2.5% GDP for 3 consecutive years.

Citation: Aghion, P. & Howitt, P. (1992). A Model of Growth Through Creative Destruction. Econometrica, 60(2), 323-351. DOI →
SCE SCE-65

Digital Divide Stagnation

Internet penetration below 60% prevents digital network effects.

Trigger Condition

If internet users < 60% for 3 consecutive years.

Citation: World Bank (2016). World Development Report 2016: Digital Dividends. Source →
SCE SCE-108

AI Displacement: Low R&D Trap

High AI exposure without R&D means workers are displaced but no new tasks are created.

Trigger Condition

If AI exposure ≥ 30% AND R&D < 1% GDP for 3 consecutive years.

Citation: Acemoglu, D. & Restrepo, P. (2020). Robots and Jobs: Evidence from US Labor Markets. Journal of Political Economy, 128(6).
SCE SCE-117

AI Displacement: Digital Divide

AI exposure with low internet penetration concentrates automation benefits among connected elites.

Trigger Condition

If AI exposure ≥ 20% AND internet users < 75% for 3 consecutive years.

Citation: World Bank (2016). World Development Report 2016: Digital Dividends.

Black Swan Events

13 rules modelling extreme tail scenarios: recessions, crises, pandemics, and systemic shocks

BSE BSE-01

Global Recession Regime

Broad recession dynamics: output contraction, labor market deterioration, disinflation.

Trigger Condition

If GDP YoY ≤ -2.0pp for 2y AND unemployment rises ≥ +2.0pp.

Citation: Claessens, S., Kose, M. A. & Terrones, M. E. (2012). How Do Business and Financial Cycles Interact? Journal of International Economics. DOI →
BSE BSE-02

Financial Crisis / Credit Crunch

Housing overvaluation plus labor deterioration forces correction and macro stress.

Trigger Condition

If housing overvaluation (price_to_rent or price_to_income ≥ median+2σ) AND unemployment rises ≥ +1.5pp.

Citation: Case, K. E. & Shiller, R. J. (2003). Is There a Bubble in the Housing Market? Brookings Papers on Economic Activity. Source →
BSE BSE-03

Sovereign Debt Crisis

High debt and high inflation jointly raise instability and depress activity.

Trigger Condition

If public_debt ≥ 140% GDP for 2y AND inflation ≥ 5% for 2y.

Citation: Reinhart, C. M. & Rogoff, K. S. (2010). Growth in a Time of Debt. American Economic Review, 100(2), 573-578. DOI →
BSE BSE-04

Energy Supply Disruption

Supply disruption when import dependence is extreme and electricity prices spike.

Trigger Condition

If energy self-sufficiency ≤ 25% AND electricity price YoY increases ≥ 25%.

Citation: Hamilton, J. D. (1983). Oil and the Macroeconomy Since World War II. Journal of Political Economy, 91(2), 228-248. DOI →
BSE BSE-05

Oil Shock / Commodity Spike

One-year inflation spike paired with growth drop: commodity shock proxy.

Trigger Condition

If inflation jumps by ≥ +3pp in 1 year AND GDP declines ≥ 3% YoY.

Citation: Hamilton, J. D. (1983). Oil and the Macroeconomy Since World War II. Journal of Political Economy, 91(2), 228-248. DOI →
BSE BSE-06

Housing Crash

Severe housing downturn: large affordability correction plus labor deterioration.

Trigger Condition

If price_to_income decreases by ≥ 20% within 3y AND unemployment increases ≥ +2pp.

Citation: Case, K. E. & Shiller, R. J. (2003). Is There a Bubble in the Housing Market? Brookings Papers on Economic Activity. Source →
BSE BSE-07

Inflation Spiral / De-anchoring

High-inflation regime where expectations de-anchor: large inflation shift and GDP damage.

Trigger Condition

If inflation ≥ 10% for 2 consecutive years.

Citation: Taylor, J. B. (1993). Discretion versus Policy Rules in Practice. Carnegie-Rochester Conference Series on Public Policy. DOI →
BSE BSE-08

Pandemic-like Demand Shock

Large GDP drop with rapid fiscal expansion: pandemic-like demand shock proxy.

Trigger Condition

If GDP drops by ≥ -3% YoY in one year AND government expenditure jumps by ≥ +3pp.

Citation: Claessens, S., Kose, M. A. & Terrones, M. E. (2012). How Do Business and Financial Cycles Interact? Journal of International Economics. DOI →
BSE BSE-09

War / Regional Conflict Shock

Conflict proxy driven by migration surge and inflation pressure.

Trigger Condition

If net migration increases by ≥ +10 per 1000 within 2y AND inflation ≥ 4%.

Citation: United Nations (2022). World Population Prospects 2022. UN DESA, Population Division. Source →
BSE BSE-10

Civil Unrest / Social Instability

Extreme crime plus macro distress drives emigration and hits output.

Trigger Condition

If crime ≥ median+2σ AND (inflation ≥ 6% OR unemployment ≥ 12%) for 2y.

Citation: Becker, G. S. (1968). Crime and Punishment: An Economic Approach. Journal of Political Economy, 76(2), 169-217. DOI →
BSE BSE-11

Mass Migration Wave

Extreme inflow year: raises housing pressure and public spending.

Trigger Condition

If net migration ≥ +15 per 1000 for 1 year.

Citation: United Nations (2022). World Population Prospects 2022. UN DESA, Population Division. Source →
BSE BSE-12

Energy Price Collapse (Windfall)

Large electricity price drop: disinflationary windfall and activity boost.

Trigger Condition

If electricity price decreases by ≥ 25% YoY.

Citation: International Energy Agency (IEA). Electricity prices for households and drivers. Source →
BSE BSE-13

Accelerated Green Transition Shock

Extreme renewable buildout (≥ 20pp share rise) triggers electricity price spikes and deindustrialisation risk.

Trigger Condition

If renewable energy share increases by ≥ 20pp within 5 years.

Citation: IEA (2022). Renewable Power: Scaling Up in the Energy Transition. Source →

See the Rules in Action

Run a simulation and watch how coupling rules activate across your chosen scenario path. Every rule fires conditionally, producing structurally coherent futures grounded in academic research.