Areal Phosphorus Loading GM2 Calculator
Normalize actual matched external-source phosphorus ledger to areal loading and explicit 365-day annualization; not loading-limit inversion or measured internal release.
Description
Areal external loading normalizes recorded source mass by lake area.
Areal external loading normalizes recorded source mass by lake area. Annualization requires an explicit observation interval.1
Enter nonnegative source-mass list and positive matched days/area. Return interval load and365-day annualized g/m²/year.
When to use Areal Phosphorus Loading GM2 Calculator
Use Areal Phosphorus Loading GM2 Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. Empty source lists give zero. Uniform annual extrapolation is arithmetic, not a forecast; internal release and loading limits are excluded.
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 Areal Phosphorus Loading GM2 Calculator and understand its results
- Prepare the observed lake or sample measurements and explicit calibration, reference values or thresholds requested. Keep depth coverage, units, dates and sampling conditions consistent.
- Enter externalSourcePhosphorusKg, matchedIntervalDays, lakeAreaM2 using the field table and calculation rules, then run the tool.
- Read observedIntervalArealPhosphorusLoadingGm2, annualizedExternalArealLoadGm2Year. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- 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 field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| externalSourcePhosphorusKg | External source phosphorus kg | list of number | Required |
| matchedIntervalDays | Matched interval days | number | Required |
| lakeAreaM2 | Lake area m2 | number | Required |
Enter nonnegative source-mass list and positive matched days/area. Return interval load and365-day annualized g/m²/year.
g/m²=1000sum(sourceKg)/area; annual=intervalLoading×365/days Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedIntervalArealPhosphorusLoadingGm2 | Observed interval areal phosphorus loading gm2 | number |
| annualizedExternalArealLoadGm2Year | Annualized external areal load gm2 year | number |
{
"input": {
"externalSourcePhosphorusKg": [
10,
20
],
"matchedIntervalDays": 365,
"lakeAreaM2": 1000
},
"output": {
"observedIntervalArealPhosphorusLoadingGm2": 30,
"annualizedExternalArealLoadGm2Year": 30
}
}Limitations and assumptions
Empty source lists give zero. Uniform annual extrapolation is arithmetic, not a forecast; internal release and loading limits are excluded.
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.
Alternative or Complementary methods
Use Load Reduction Required Percent Calculator: Load reduction planning needs a source ledger and explicit reducible fractions. The total target does not itself establish achievable reductions. For a complementary task, 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.
References
-
Areal Phosphorus Loading GM2 Calculator — tool.io
Similar or alternative tools
- Load Reduction Required Percent Calculator
Load reduction planning needs a source ledger and explicit reducible fractions. The total target does not itself establish achievable reductions.
- 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.