Mean Depth Calculator
Audit matched volume/surface area for mean lake depth with independent maximum-depth consistency; not hypsographic integration or a shape-based inferred volume.
Description
Mean lake depth is volume divided by matched surface area.
Mean lake depth is volume divided by matched surface area. Independent maximum depth provides a consistency check.1
Enter nonnegative observed volume and positive area/maximum depth. Reject mean depth above maximum; return depth and fraction.
When to use Mean Depth Calculator
Use Mean Depth Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No bathymetric integration or assumed-shape volume is generated.
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 Mean Depth 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 observedLakeVolumeM3, matchedSurfaceAreaM2, observedMaximumDepthM using the field table and calculation rules, then run the tool.
- Read observedMeanDepthM, meanDepthToMaximumDepthFraction. 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 |
|---|---|---|---|
| observedLakeVolumeM3 | Observed lake volume m3 | number | Required |
| matchedSurfaceAreaM2 | Matched surface area m2 | number | Required |
| observedMaximumDepthM | Observed maximum depth m | number | Required |
Enter nonnegative observed volume and positive area/maximum depth. Reject mean depth above maximum; return depth and fraction.
meanDepth=volume/area; fraction=meanDepth/maximum Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedMeanDepthM | Observed mean depth m | number |
| meanDepthToMaximumDepthFraction | Mean depth to maximum depth fraction | number |
{
"input": {
"observedLakeVolumeM3": 1000,
"matchedSurfaceAreaM2": 100,
"observedMaximumDepthM": 20
},
"output": {
"observedMeanDepthM": 10,
"meanDepthToMaximumDepthFraction": 0.5
}
}Limitations and assumptions
No bathymetric integration or assumed-shape volume is generated.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Shoreline Development Index Calculator: Shoreline development compares a measured planar perimeter with the circle having the same area. Measurement resolution and island treatment affect that comparison. For a complementary task, use Morphoedaphic Index MEI Calculator: The morphoedaphic index has alternative measurement conventions. This tool explicitly uses dissolved solids divided by mean depth.
References
-
Mean Depth Calculator — tool.io
Similar or alternative tools
- Shoreline Development Index Calculator
Shoreline development compares a measured planar perimeter with the circle having the same area. Measurement resolution and island treatment affect that comparison.
- Morphoedaphic Index MEI Calculator
The morphoedaphic index has alternative measurement conventions. This tool explicitly uses dissolved solids divided by mean depth.