Sea Level Rise Impact Calculator
Estimate coastal inundation area and shoreline retreat from sea level rise based on coastline length, slope, and rise amount.
About this calculator
This calculator estimates coastal flooding with what's often called a bathtub model — it treats sea level rise as simply filling in low-lying land based on the coastline's average slope, using basic trigonometry: horizontal inundation distance equals the sea level rise divided by the tangent of the slope angle. That geometric relationship makes slope the dominant factor, since a very flat coast (a slope near zero) pushes the horizontal distance far inland for even a modest rise, while a steep coast barely moves. Inundated Area simply multiplies that horizontal distance by the coastline length you enter.
Shoreline Retreat uses the Bruun Rule, a long-standing coastal engineering formula relating sea level rise to beach erosion, but applies fixed representative values for the active profile length, berm height, and closure depth rather than site-specific figures, since those genuinely vary by beach and would require actual surveyed data to use precisely. Real coastal flooding also depends heavily on storm surge, wave setup, tidal range, sediment supply, and human coastal engineering like seawalls and beach nourishment — none of which this simplified geometric model captures — so treat these figures as a rough planning-level estimate of exposure rather than a precise flood map.
Inputs
Results
Inundated Area
2.86 km²
≈ 143 city blocks
Horizontal Inundation
28.6 m
≈ 6 car lengths
How to Use This Calculator
- Enter Coastline Length, Average Coastal Slope, and Sea Level Rise.
- Review Inundated Area (km²) and Horizontal Inundation (m).
- Use Inundated Area (hectares) and Bruun Rule Shoreline Retreat (m) to inform your decision.
How the result changes with Average Coastal Slope
| Average Coastal Slope | Inundated Area | Horizontal Inundation |
|---|---|---|
| 0.5 | 5.73 km² | 57.3 m |
| 0.75 | 3.82 km² | 38.2 m |
| 1.5 | 1.91 km² | 19.1 m |
| 2.5 | 1.15 km² | 11.5 m |
What each input means
- Coastline Length
- Length of the coastline segment to analyze in kilometers.
- Average Coastal Slope
- Average slope of the coastal zone in degrees. Flat coasts (0.1-1°) are most vulnerable; cliffs (10°+) are resistant.
- Sea Level Rise
- Projected sea level rise in meters. IPCC projects 0.3-1.0 m by 2100 depending on emissions scenario.
How this is calculated
Worked example, using the default values
- Identify Input ParametersCoastline Length = 100, Average Coastal Slope = 1, Sea Level Rise = 0.5 = 3 input(s) provided
- Calculate Inundated AreaInundated Area2.864 = 2.864
- Calculate Horizontal InundationHorizontal Inundation28.6 = 28.6
- Calculate Inundated AreaInundated Area286.4 = 286.4
- Calculate Bruun Rule Shoreline RetreatBruun Rule Shoreline Retreat41.7 = 41.7
Figures and sources
- Bruun Rule for sea-level-rise-driven shoreline retreat (1962) — Per Bruun, "Sea-Level Rise as a Cause of Shore Erosion," Journal of the Waterways and Harbors Division, ASCE, 88 (1962) — the standard coastal engineering formula (retreat = active profile length / (berm height + closure depth) × sea-level rise) relating shoreline retreat to sea-level rise via the underwater beach profile's dimensions.
Engine last updated . Checked against 4 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does a small change in coastal slope dramatically change the inundation distance?
Horizontal inundation is sea level rise divided by the tangent of the slope angle, and the tangent shrinks very quickly as the slope angle approaches zero — meaning the same amount of sea level rise divides by an increasingly tiny number on a very flat coast. That's why flat coastal plains and river deltas are disproportionately vulnerable to sea level rise compared to coasts with even a modest incline.
What is the Bruun Rule, and why does it use fixed profile values here?
The Bruun Rule, published by coastal engineer Per Bruun in a 1962 ASCE paper, is a widely used formula estimating how much a beach retreats as sea level rises, based on the shape of the underwater beach profile. This calculator applies typical representative values for that profile's length, berm height, and closure depth rather than site-specific survey data, since those figures genuinely vary by beach and would need actual field measurements to model precisely for a real location.
Is this a realistic flood map, or a simplified planning estimate?
It's a simplified geometric estimate — often called a bathtub model — that ignores storm surge, wave action, tidal range, sediment transport, and coastal defenses like seawalls or beach nourishment, all of which significantly affect real flooding. Use it to get a rough sense of exposure and compare scenarios, not as a substitute for a detailed engineering flood study before making decisions about a specific property or infrastructure.
Why does Risk Level depend on Horizontal Inundation rather than the total Inundated Area?
Horizontal Inundation distance reflects how far flooding pushes inland at any single point along the coast, which is the figure most directly tied to whether specific structures or roads end up underwater. Total Inundated Area combines that distance with coastline length, which can look large simply because a long coastline is being analyzed, even if the actual inland flooding distance at any one spot is modest.
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