Description
Multiply suppliedWidthGradient by referenceHeight-measuredHeight and add that adjustment to width.
Geomorphic geometry uses lengths, areas, volumes, and dimensionless shape ratios to summarize a feature. Grain axes, channel dimensions, and angular units need explicit definitions because similar field names can describe different measurements.
Multiply suppliedWidthGradient by referenceHeight-measuredHeight and add that adjustment to width.
When to use this tool
Use Valley Width Reference Height Gap when you need a geometric summary of a supplied landform or sediment measurement.
How to use the tool and how it works
- Enter measuredWidth, measuredHeight, referenceHeight, suppliedWidthGradient. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read referenceWidth, adjustment. Use the output convention below.
Require nonnegative measuredWidth. Multiply suppliedWidthGradient by referenceHeight-measuredHeight and add that adjustment to width.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| measuredWidth | Measured Width | Required. Finite number; minimum 0. |
| measuredHeight | Measured Height | Required. Finite number. |
| referenceHeight | Reference Height | Required. Finite number. |
| suppliedWidthGradient | Supplied Width Gradient | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| referenceWidth | Reference Width | Required. Finite number. |
| adjustment | Adjustment | Required. Finite number. |
{
"input": {
"measuredWidth": 100,
"measuredHeight": 10,
"referenceHeight": 12,
"suppliedWidthGradient": 3
},
"output": {
"referenceWidth": 106,
"adjustment": 6
}
}Limitations and assumptions
- Heights and gradient must produce compatible width units; adjusted width may be negative and no valley geometry, reference level, or model validity is inferred.
- 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
Inspect the measured feature and sampling method for the intended geometric definition. Use a spatial model or complete distribution when a single shape ratio or local term is insufficient.
References
Similar or alternative tools
- Valley Width Depth Relative Index
Average divide-minus-floor relief and divide floorWidth by that mean relief.
- Channel Sinuosity Valley Reference Ratio
Return channel/valley, channel/straight, and valley/straight ratios.