Ice Lake Morphometry

The table below summarizes information about the Ice Lake basin. The lake has been "sliced" into layers, or slabs, of water that are 2 meters (6.6 feet) thick. The table reports the volume of each layer and the surface area at the middle of each layer. Adding up the layers yields a total volume of 11.6 x 105 m3 (cubic meters). The surface area of the lake was determined by GIS from the Landuse maps Lake Summaries and equals 16.6 hectares (= 1.66 x 105 m2).

To estimate the area at the top of any layer, use the following formula:

Regression of: Area (hectares) at top of layer vs depth of layer top (meters)

A(z) = (-1.184)*z + 16.58

where area(ha) is for the top of the layer and z is the depth in meters at the middle of the layer

To estimate the volume of any 1 meter thick layer, use the following formula:

Regression of: Volume of 1m layers versus mid-layer depth (z)

V(z) = (-0.113)*z + 1.633

where V(z) is the volume of the layer

 Table 1 Morphometry of Ice Lake. Areas in hectares (1 hectare [ha] = 10,000 m2). LAYER (meters) AREA (hectares at mid-depth) VOLUME (x 105 m3) 0-2 15.4 3.081 2-4 13.0 2.606 4-6 10.7 2.134 6-8 8.3 1.660 8-10 5.9 1.186 10-12 3.6 0.713 12-14 1.20 0.242 14-16 0.03 0.005 Total Volume = 11.6 (x105 m3)

 Table 2 Complete depth profiles of area (at top of layers) and layer volumes for Ice Lake. z1 and z2 refer to the top and bottom depths of a particular layer. DEPTH Z (meters) AREA @ top (hectares) LAYER FROM z1 to z2 (m) LAYER VOLUME (x106 m3) 0 16.6 0-1 1.600 1 15.4 1-2 1.481 2 14.2 2-3 1.362 3 13.0 3-4 1.244 4 11.8 4-5 1.126 5 10.7 5-6 1.008 6 9.49 6-7 0.889 7 8.30 7-8 0.771 8 7.11 8-9 0.652 9 5.93 9-10 0.534 10 4.75 10-11 0.416 11 3.57 11-12 0.297 12 2.38 12-13 0.179 13 1.20 13-14 0.063 14 0.060 14-15 0.004 15 0.029 15-16 0.001 Total Volume = 11.6 (x105 m3)