MATLAB Examples

# thickness2freeboard documentation

thickness2freeboard is part of Antarctic Mapping Tools for Matlab (Greene et al., 2017). Click here for a complete list of functions in AMT.

thickness2freeboard estimates freeboard height above sea level, from ice thickneess assuming hyrostatic equilibrium.

## Syntax

```F = thickness2freeboard(T)
F = thickness2freeboard(...,'rhoi',iceDensity)
F = thickness2freeboard(...,'rhow',waterDensity)
F = thickness2freeboard(...,'rhos',snowDensity)
F = thickness2freeboard(...,'Ts',snowThickness)```

## Description

F = thickness2freeboard(T) estimatesfreeboard height height above sea level F in meters above the geoid from ice thickness T in meters.

F = thickness2freeboard(...,'rhoi',iceDensity) speccifies ice density in kg/m^3. Default ice density is 917 kg/m^3.

F = thickness2freeboard(...,'rhow',waterDensity) specifies water density in kg/m^3. Default water density is 1027 kg/m^3.

F = thickness2freeboard(...,'rhos',snowDensity) specifies snow density in kg/m^3. Default snow density is 350 kg/m^3, however the default snow thickness is 0 m, so the snow density value will only affect calculations if snow thickness is specified.

F = thickness2freeboard(...,'Ts',snowThickness) specifies snow thickness in meters. Default snow thickness is 0 m.

## Example 1:

An iceberg is 5 m thick and it's made of pure ice. How high is the iceberg's surface above sea level?

```F = thickness2freeboard(5) ```
```F = 0.5355 ```

## Example 2:

An iceberg is 4.83 m thick, including 40 cm of snow which has a density of 300 kg/m^3. How high is the iceberg's surface above sea level?

```F = thickness2freeboard(4.83,'Ts',0.4,'rhos',300) ```
```F = 0.8005 ```

And you can go back the other way too:

```T = freeboard2thickness(0.8,'Ts',0.4,'rhos',300) ```
```T = 4.8255 ```

## Citing AMT

If this function or any other part of Antarctic Mapping Tools is useful for you, please cite the paper that describes AMT.

Greene, C. A., Gwyther, D. E., & Blankenship, D. D. Antarctic Mapping Tools for Matlab. Computers & Geosciences. 104 (2017) pp.151-157. doi:10.1016/j.cageo.2016.08.003.

## Author Info

This function was written by Chad A. Greene of the University of Texas Institute for Geophysics (UTIG), April 2017, for inclusion in the Antarctic Mapping Tools package.