Coastal shoreline movement rate calculator

Calculate observed linear movement rate and slope standard error with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use observed linear movement rate and slope standard error to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Observation years
2000,2005,2010,2015
Shoreline positions along fixed transect (m)
0,-4,-11,-14
Observed linear movement rate (m/year)
-0.98
Slope standard error (m/year)
0.103923
R squared
0.978004

Try another scenario

Observation years
[2000, 2005, 2010, 2015]
Shoreline positions along fixed transect (m)
[0, -5, -10, -15]
Observed linear movement rate (m/year)
-1
Slope standard error (m/year)
0
R squared
1
Calculation method

Calculation method

Observed linear movement rate (m/year)

Ordinary least squares position versus year; positive advances in supplied axis direction.

Slope standard error (m/year)

sqrt(residual SSE/(N−2)/sum((year−mean)²)), not total georeferencing uncertainty.

R squared

1−residual SSE/total position sum squares.

Symbols and units
a
Observation years
b
Shoreline positions along fixed transect (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

sum(list) adds all entries in the list.

Assumptions & limits

Assumptions & limits

  • Dated shoreline positions, transects, regression. Returns Observed retreat-advance rates and uncertainty. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Observation years: minimum None, maximum 1000000000000.0. Shoreline positions along fixed transect (m): minimum None, maximum 1000000000000.0.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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