Sea Level Rise Estimate Calculator Formula

Understand the math behind the sea level rise estimate calculator. Each variable explained with a worked example.

Formulas Used

Projected Rise

rise_mm = total_rate * years

Projected Rise

rise_cm = total_rate * years / 10

Projected Rise

rise_inches = total_rate * years / 25.4

Variables

VariableDescriptionDefault
thermal_rateThermal Expansion Rate(mm/year)1.4
ice_melt_rateIce Melt Contribution Rate(mm/year)2.2
yearsProjection Period(years)50
total_rateDerived value= thermal_rate + ice_melt_ratecalculated

How It Works

Estimating Sea Level Rise

Sea level rise comes from two main sources: thermal expansion of warming ocean water and meltwater from glaciers and ice sheets.

Formula

Total Rise (mm) = (Thermal Rate + Ice Melt Rate) x Years

Current observations show about 3.6 mm/year of total rise, with the rate accelerating. Thermal expansion accounts for roughly 40% and ice melt for 60%.

Worked Example

Thermal expansion adds 1.4 mm/year and ice melt adds 2.2 mm/year. Project 50 years forward.

thermal_rate = 1.4ice_melt_rate = 2.2years = 50
  1. 01Total rate = 1.4 + 2.2 = 3.6 mm/year
  2. 02Rise over 50 years = 3.6 x 50 = 180 mm
  3. 03In centimeters: 180 / 10 = 18 cm
  4. 04In inches: 180 / 25.4 = 7.09 inches

Frequently Asked Questions

Is this a linear projection?

This calculator uses a linear rate, but actual sea level rise is accelerating. Satellite data show the rate has increased from about 2.5 mm/year in the 1990s to over 4 mm/year today.

What is thermal expansion?

As ocean water absorbs heat, it expands in volume. This thermal expansion has been the largest contributor to sea level rise historically, though ice melt is now dominant.

How much would seas rise if all ice melted?

If all land ice melted, seas would rise approximately 65 meters (213 feet). The Greenland ice sheet alone holds about 7.2 meters of potential rise.