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Recreation Visit Consumer Surplus Term Tool

Semi-log travel-cost demand surplus -1/beta per visit; the supplied negative cost coefficient defines this narrow model.

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Description

Return surplusPerVisit = -1/costCoefficient, totalSurplus = visits*surplusPerVisit and netSurplus = totalSurplus-fixedAccessCost.

Environmental valuation assigns monetary or credit quantities to a defined change using explicit factors. Area prices, exposure damages, income adjustments and ecological equivalences embody different assumptions; multiplying them does not validate those assumptions.

Return surplusPerVisit = -1/costCoefficient, totalSurplus = visits*surplusPerVisit and netSurplus = totalSurplus-fixedAccessCost.

When to use this tool

Use Recreation Visit Consumer Surplus Term when checking one declared valuation or equivalence contribution.

How to use the tool and how it works

  1. Enter visits, costCoefficient, fixedAccessCost. 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 surplusPerVisit, totalSurplus, netSurplus. Use the output convention below.

Require nonnegative visits and fixedAccessCost and strictly negative costCoefficient. Return surplusPerVisit = -1/costCoefficient, totalSurplus = visits*surplusPerVisit and netSurplus = totalSurplus-fixedAccessCost. costCoefficient is the natural-log visit-demand coefficient per currency unit for a semilog demand model.1

Input fieldMeaning and unitsAccepted input
visitsVisitsRequired. Finite number; minimum 0.
costCoefficientStrictly negative semilog visit-demand coefficient per currency unit, not a price or elasticity.Required. Finite number; strictly below 0.
fixedAccessCostFixed Access CostRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
surplusPerVisitSurplus Per VisitRequired. Finite number.
totalSurplusTotal SurplusRequired. Finite number.
netSurplusNet SurplusRequired. Finite number.
json
{
  "input": {
    "visits": 1000,
    "costCoefficient": -0.02,
    "fixedAccessCost": 5000
  },
  "output": {
    "surplusPerVisit": 50,
    "totalSurplus": 50000,
    "netSurplus": 45000
  }
}

Limitations and assumptions

  • The coefficient must come from an appropriate estimated model, not a price or elasticity substituted directly. This model-specific surplus term does not estimate demand, address substitute sites or establish a complete welfare measure.
  • 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 an appropriate empirical model and examine transferability, causal attribution and double counting before interpreting a complete environmental benefit estimate.

References

  1. Calculation and input contract: environmental-economics/recreation-visit-consumer-surplus-term — tool.io

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