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Landslide Susceptibility for a Hill Road Alignment

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Landslide Susceptibility for a Hill Road Alignment

A hill district of 1,150 km2 needs a landslide susceptibility map to guide a new road alignment. The inventory contains 212 landslides from 2015 to 2022, mostly smaller than 0.5 ha, and many were triggered by a single extreme rainfall event in 2018. Candidate factors are slope, aspect, lithology, lineament density, rainfall, land cover, distance to road and soil depth, several of which are correlated with one another. A consultant produced the map by equal-weight overlay of all eight factors and reported 91% accuracy, having used the same inventory both to set the weights and to test the result. The department is unsure whether to accept the map for alignment decisions.

1. What is wrong with the 91% accuracy figure and with the modelling approach behind it?

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The validation is circular. The inventory set the weights and then tested the map; the model has already seen the answer. 91% is a measure of fit, not of predictive skill, and will not survive a new rainfall event.

Accuracy is the wrong metric here. Landslides occupy a minuscule fraction of the 1,150 km2. A map declaring the entire district stable would score above 99% accuracy while being useless. Under such class imbalance, precision-recall and the spatial agreement of the highest susceptibility class matter far more than overall accuracy.

Inventory bias: records cluster along roads and settlements, where people observe and report failures; the 2018 event dominates the sample, so the model largely learns one rainfall scenario. Failures smaller than 0.5 ha are barely a few 30 m pixels, and their location is uncertain relative to the DEM cell - position error alone degrades any slope-based signal.

Model issues: eight factors with equal weights is an arbitrary assumption presented as a result, and slope, lithology, road distance and soil depth are mutually correlated, so weights double-count the same underlying control. No sensitivity analysis is reported, so the user cannot know whether the high-susceptibility class is stable or an artefact of the weight choice.

2. Design a validation that would actually test predictive skill, and explain the choices.

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Split by time, not at random. Train on 2015-2017 landslides and test on 2018-2022, or hold out the 2018 event entirely as an out-of-sample scenario. Random point splitting leaks spatial information because neighbouring pixels share terrain, giving falsely optimistic scores.

Split by space as well. Use catchment- or block-wise cross-validation: hold out whole terrain units so the model is tested where it has not seen the terrain. Report the spread of scores across folds, not just the mean - instability across folds is itself a finding worth reporting.

Choose non-landslide samples carefully. Pseudo-absences drawn from flat valley floors make the problem trivial and inflate skill. Draw them from the same domain as the failures - similar slope and road-distance ranges - so the model must discriminate within the terrain where landslides actually occur.

Metrics: ROC/AUC for ranking, but pair it with precision-recall and with the success-rate and prediction-rate curves, which show what fraction of future landslides fall inside the top 10% or 20% of area flagged. For an alignment decision, that is the number that matters: "how much of the district must we treat as hazardous to capture most failures". Also report performance separately for small failures, since those dominate the inventory.

3. What changes should be made to the model itself, and how should the map be presented for road alignment decisions?

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Model changes:

  • Reduce redundancy. Check variance inflation or pairwise correlation and drop or combine duplicates (for example slope and soil depth, or road distance and land cover). Fewer, better-justified factors beat eight equal ones.
  • Replace equal weights with either a data-driven model (regularised logistic regression for interpretability, or a tree ensemble with monotonic constraints where the physical direction is known) or an explicit expert weighting with sensitivity testing across plausible weight sets.
  • Report the ensemble spread. If the high-susceptibility class moves substantially between weight sets, that instability is the headline, not a nuisance.
  • Carry the rainfall scenario explicitly: state that the map represents the 2018-type event, and produce a second version for an ordinary monsoon, because alignment decisions differ between them.

Presentation for alignment: aggregate to road-segment support rather than pixels - for each candidate segment, give the mean susceptibility, the proportion of the segment in the top class, and the variability. Add a stated false-negative rate for the high class, derived from the held-out test. Recommend field verification at every segment crossing the top class, and a rainfall-threshold monitoring plan for construction and operation. Present the map as a screening tool with quantified skill, not as a deterministic hazard zone.