Trail Erosion Cross-Section Loss Per Year
Integrate actual matched trail cross-section surface change over unequal stations/time, signed deposition retained; no spatial geodesy, erosion causality or rate beyond survey. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.
Description
Trail erosion can be estimated by integrating aligned changes in a cross-sectional profile.
Trail erosion can be estimated by integrating aligned changes in a cross-sectional profile.1
Repeated coordinates, survey alignment and elapsed time determine the meaning of the signed area-loss rate. Use this tool to calculate trail erosion cross-section loss per year from the supplied measurements and assumptions.
When to use Trail Erosion Cross-Section Loss Per Year
Use this tool to calculate trail erosion cross-section loss per year from the supplied measurements and assumptions. Establish the species/site, survey protocol, units, sampled area or exposure, and the independently chosen reference or model.
How to use Trail Erosion Cross-Section Loss Per Year and understand its results
- Establish the species/site, survey protocol, units, sampled area or exposure, and the independently chosen reference or model.
- Enter observedCrossSectionStationM, observedBeforeTrailSurfaceM, observedAfterTrailSurfaceM, observedSurveyIntervalYears, using the field meanings and rules below, then run the tool.
- Read signedCrossSectionLossM2, signedCrossSectionLossM2PerYear. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedCrossSectionStationM | Observed cross section station m | list of number | Required |
| observedBeforeTrailSurfaceM | Observed before trail surface m | list of number | Required |
| observedAfterTrailSurfaceM | Observed after trail surface m | list of number | Required |
| observedSurveyIntervalYears | Observed survey interval years | number | Required |
Enter strictly increasing finite transect coordinates in meters, aligned finite before/after profile elevations and positive elapsed years. Integrate before−after elevation by the trapezoidal rule and divide by elapsed years. Return signed m² and m²/year; accumulation can give a negative result. This is a cross-sectional area change, not a full trail volume.
areaLossM²=ΣdeltaStation×[(before_i−after_i)+(before_(i+1)−after_(i+1))]/2; annualLoss=areaLoss/years Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| signedCrossSectionLossM2 | Signed Cross Section Loss M2; follow the units, sign, ordering and evidence convention stated above | number |
| signedCrossSectionLossM2PerYear | Signed Cross Section Loss M2 Per Year; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"observedCrossSectionStationM": [
0,
1,
2
],
"observedBeforeTrailSurfaceM": [
1,
1,
1
],
"observedAfterTrailSurfaceM": [
0.5,
0.5,
0.5
],
"observedSurveyIntervalYears": 2
},
"output": {
"signedCrossSectionLossM2": 1,
"signedCrossSectionLossM2PerYear": 0.5
}
}Limitations and assumptions
Repeated coordinates, survey alignment and elapsed time determine the meaning of the signed area-loss rate. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Riparian Buffer Width By Stream Class Lookup for this related task: Riparian buffer references depend on site, jurisdiction, objectives and the governing method.
Use Trail Recreation Carrying Capacity Visitors/Day when its separate inputs and assumptions fit the question: Recreation throughput depends on occupancy limits, open hours and average visit duration for independently defined compartments.
References
Similar or alternative tools
- Riparian Buffer Width By Stream Class Lookup
Riparian buffer references depend on site, jurisdiction, objectives and the governing method.
- Trail Recreation Carrying Capacity Visitors/Day
Recreation throughput depends on occupancy limits, open hours and average visit duration for independently defined compartments.