Load Reduction Required Percent Calculator

Audit observed load-source ledger against caller total target and independently reducible fractions; not regulatory reduction mandate or guarantee of concentration/ecological response.

Description

Load reduction planning needs a source ledger and explicit reducible fractions.

Load reduction planning needs a source ledger and explicit reducible fractions. The total target does not itself establish achievable reductions.1

Enter aligned nonempty nonnegative source loads/fractions 0–1 with positive total and nonnegative target. Return total, required kg/year/percent, maximum modeled reduction and inclusive feasibility.

When to use Load Reduction Required Percent Calculator

Use Load Reduction Required Percent Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No regulatory mandate, cost, allocation by source or concentration response is supplied.

Prepare the observed lake or sample measurements and explicit calibration, reference values or thresholds requested. Keep depth coverage, units, dates and sampling conditions consistent.

How to use Load Reduction Required Percent Calculator and understand its results

  1. Prepare the observed lake or sample measurements and explicit calibration, reference values or thresholds requested. Keep depth coverage, units, dates and sampling conditions consistent.
  2. Enter observedSourceLoadsKgYear, callerTotalLoadTargetKgYear, callerSourceReducibleFractions using the field table and calculation rules, then run the tool.
  3. Read totalObservedLoadKgYear, positiveLoadReductionRequiredKgYear, requiredTotalLoadReductionPercent, maximumCallerFeasibleReductionKgYear, targetFeasibleUnderCallerReducibility. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
observedSourceLoadsKgYearObserved source loads kg yearlist of numberRequired
callerTotalLoadTargetKgYearCaller total load target kg yearnumberRequired
callerSourceReducibleFractionsCaller source reducible fractionslist of numberRequired

Enter aligned nonempty nonnegative source loads/fractions 0–1 with positive total and nonnegative target. Return total, required kg/year/percent, maximum modeled reduction and inclusive feasibility.

required=max(0,total−target); possible=sum(sourceLoad×reducibleFraction)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
totalObservedLoadKgYearTotal observed load kg yearnumber
positiveLoadReductionRequiredKgYearPositive load reduction required kg yearnumber
requiredTotalLoadReductionPercentRequired total load reduction percentnumber
maximumCallerFeasibleReductionKgYearMaximum caller feasible reduction kg yearnumber
targetFeasibleUnderCallerReducibilityTarget feasible under caller reducibilityboolean
json
{
  "input": {
    "observedSourceLoadsKgYear": [
      40,
      60
    ],
    "callerTotalLoadTargetKgYear": 50,
    "callerSourceReducibleFractions": [
      1,
      0.5
    ]
  },
  "output": {
    "totalObservedLoadKgYear": 100,
    "positiveLoadReductionRequiredKgYear": 50,
    "requiredTotalLoadReductionPercent": 50,
    "maximumCallerFeasibleReductionKgYear": 70,
    "targetFeasibleUnderCallerReducibility": true
  }
}

Limitations and assumptions

No regulatory mandate, cost, allocation by source or concentration response is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Load Target Concentration Gap Calculator: A concentration gap can be converted to an instantaneous inventory gap in a well-mixed volume. That inventory differs from annual external load. For a complementary task, use Areal Phosphorus Loading GM2 Calculator: Areal external loading normalizes recorded source mass by lake area. Annualization requires an explicit observation interval.

References

  1. Load Reduction Required Percent Calculator — tool.io

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