Transit demand elasticity scenario calculator

Calculate modeled passenger trips and modeled fare revenue with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Choose the currency for these amounts. Changing it keeps your numbers and does not convert exchange rates.

Use modeled passenger trips and modeled fare revenue to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Base passenger trips (count)
1000
Base fare (USD)
2
Scenario fare (USD)
2.5
User-supplied constant elasticity
-0.3
Modeled passenger trips
935.248448
Modeled fare revenue (USD)
$2,338.12
Revenue change (USD)
$338.12

Try another scenario

Base passenger trips (count)
1200
Base fare (USD)
2.5
Scenario fare (USD)
2
User-supplied constant elasticity
-0.5
Modeled passenger trips
1,341.640786
Modeled fare revenue (USD)
$2,683.28
Revenue change (USD)
-$316.72
Calculation method

Calculation method

Modeled passenger trips

Base trips×(new fare/base fare)^elasticity.

Modeled fare revenue (USD)

Modeled trips×new fare.

Revenue change (USD)

New modeled revenue−base trips×base fare.

Symbols and units
a
Base passenger trips (count)
b
Base fare (USD)
c
Scenario fare (USD)
d
User-supplied constant elasticity

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Constant-elasticity scenario supplied by user, not a demand forecast. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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