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Gravity Trade Economic Mass Term Tool

One explicitly calibrated log-linear gravity-model level prediction without multilateral resistance or an estimation routine.

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Description

Raise positive GDP inputs to their supplied elasticities, multiply by nonnegative coefficient, and divide by distance raised to distanceElasticity.

Economic models simplify behavior through supplied technologies, coefficients, elasticities, or baselines. A calculated term reflects those assumptions rather than estimating them or proving causation.

Raise positive GDP inputs to their supplied elasticities, multiply by nonnegative coefficient, and divide by distance raised to distanceElasticity.

When to use this tool

Use Gravity Trade Economic Mass Term when you need one explicit economic-model term.

How to use the tool and how it works

  1. Enter firstGdp, secondGdp, distance, coefficient, firstElasticity, secondElasticity, distanceElasticity. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read tradeReference. Use the output convention below.

Raise positive GDP inputs to their supplied elasticities, multiply by nonnegative coefficient, and divide by distance raised to distanceElasticity.1

Input fieldMeaning and unitsAccepted input
firstGdpFirst GdpRequired. Finite number; strictly above 0.
secondGdpSecond GdpRequired. Finite number; strictly above 0.
distanceDistanceRequired. Finite number; strictly above 0.
coefficientSupplied coefficient for the indicated basis or model term.Required. Finite number; minimum 0.
firstElasticityFirst ElasticityRequired. Finite number.
secondElasticitySecond ElasticityRequired. Finite number.
distanceElasticityDistance ElasticityRequired. Finite number.
Output fieldInterpretationReturned shape
tradeReferenceTrade ReferenceRequired. Finite number.
json
{
  "input": {
    "firstGdp": 100,
    "secondGdp": 200,
    "distance": 10,
    "coefficient": 0.01,
    "firstElasticity": 1,
    "secondElasticity": 1,
    "distanceElasticity": 2
  },
  "output": {
    "tradeReference": 2
  }
}

Limitations and assumptions

  • This is one supplied gravity-model reference term without fitted parameters, multilateral resistance, statistical uncertainty, or a causal forecast.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Estimate and validate a complete model using suitable data and report its assumptions and uncertainty.

References

  1. Calculation and input contract: international-economics/gravity-trade-economic-mass-term — tool.io

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