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Age Band Earnings Mean Weight

Compute one age band’s contribution to a population-weighted earnings mean from supplied mean and compatible counts.

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Description

Calculate one age band's population-weighted earnings contribution.

Demographic economic terms depend on age-window boundaries, population scope, household equivalence units and supplied fiscal assumptions. A worker-share change is not an estimated demographic dividend, and endpoint survivors times duration differ from integrated life-table person-years. Local pension or subsidy calculations do not determine actual eligibility or entitlement.

Calculate one age band's population-weighted earnings contribution.

When to use this tool

Use Age Band Earnings Mean Weight when you already have bandMeanEarnings, bandPopulation, totalPopulation and need to calculate one age band's population-weighted earnings contribution.

How to use the tool and how it works

  1. Enter bandMeanEarnings, bandPopulation, totalPopulation. 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 populationShare, weightedMeanContribution. Use the output convention below.

Require positive safe totalPopulation and safe bandPopulation within total; return band/total and bandMeanEarnings*band/total.1

Input fieldMeaning and unitsAccepted input
bandMeanEarningsBand Mean EarningsRequired. Finite number.
bandPopulationBand PopulationRequired. Safe integer; minimum 0.
totalPopulationTotal PopulationRequired. Safe integer; minimum 1.
Output fieldInterpretationReturned shape
populationSharePopulation ShareRequired. Finite number.
weightedMeanContributionOne age-band mean*population share; not the complete population earnings mean.Required. Finite number.
json
{
  "input": {
    "bandMeanEarnings": 30000,
    "bandPopulation": 200,
    "totalPopulation": 1000
  },
  "output": {
    "populationShare": 0.2,
    "weightedMeanContribution": 6000
  }
}

Limitations and assumptions

  • Earnings may be signed. This is one contribution, not a full population mean, wage distribution or causal age effect.
  • 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

Use complete population, cohort, labor and fiscal records with the chosen equivalence and exposure definitions. Review applicable benefit rules and estimate the appropriate model for policy analysis; one supplied allocation or accounting ratio does not establish behavior or economic effects.

References

  1. Calculation and input contract: demographic-economics/age-band-earnings-mean-weight — tool.io

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