Nature Notes From Crater Lake
Volume 7, No. 3, September 1934
The Waters of Crater Lake
By J. Stanley Brode, Ranger-Naturalist
The geologist has told the story of
Mount Mazama. The mountain has been built up and destroyed, and in that
great rent a second volcano appeared. Still more recently a lake has
formed. How long has Crater Lake existed? Wizard Island has on its
shoulder a mantle of tree life. The trees now there are the first it has
borne. By borings and ring counts made by Dr. W. G. Vinal in 1933 the
age of the trees was studied and some were found to be over 790 years
old. Observations made by scientists and laymen on the slopes of
Krakatoa and Katmai indicate that only a few years elapse after
eruptions until the volcanic slopes are covered with plant life. This
would place the probable cessation of volcanic activity on Wizard Island
some 900 to 1200 years ago. Geologists tell us that the rocks do not
show characteristics of lava that has flowed into or through water. This
leads us to believe that the lake is younger than the island. The lake
is probably well under a thousand years old.
In estimating the time required for the
lake to fill the caldera or crater to its present level we have four
factors to consider: (1) the volume to be filled; (2) the precipitation
and drainage into the lake; (3) evaporation from drainage area; (4)
seepage through crater walls. From the geological and engineering date
we get the following significant figures:
Total area within the Rim - - - - -
- - - - 27.48 Sq. Mi.
Area of water surface - - - - - - - - - - - 20.42 Sq. Mi.
Average depth of lake - - - - - - - - - - - 1500 feet

(1) Volume. According to the geologist
the hollow in which the lake lies is in the general shape of a truncated
cone. Arbitrarily estimating the average height of the rim at 1000 feet
above the lake surface with an area within the crater rim of 27 square
miles, and the lake surface, with its area of 20 square miles, a plane
parallel to the base of the cone, we assume the bottom of the lake to be
another plane parallel to the base of the cone and at an average depth
of 1500 feet. From this we figure the area of the lake bottom to be
nearly 10 square miles. From these figures we estimate the volume of
water in the lake at present as about 416 billion cubic feet or 2.82
cubic miles.
(2) Precipitation. The average annual
precipitation at the lake is given as 70 inches, most of it in the form
of snow, 80 to 100 feet falling at the rim. Over a drainage area of 27
square miles this precipitation would yield 3,885 million cubic feet of
water a year, which, if there were no evaporation or seepage to
consider, would fill the lake up to its 1908 level in a little over 107
years.
(3) Evaporation. One estimate gives the
evaporation from the lake area as 55 inches. While another gives it as
46 inches. Calling the average 50 inches, the effective precipitation
available to fill the lake is reduced to 20 inches, which, ignoring
seepage, would have filled the lake at a rate of 1,100 million cubic
feet a year and would have required 365 years to fill it to its 1908
level.
(4) Seepage. At the present time a
balance has been reached between precipitation on the one hand and
evaporation and seepage on the other hand, and since the evaporation is
approximately 50 inches there remains 20 inches of precipitation lost to
be accounted for by seepage. The seepage factor has perhaps been the
factor that has checked lake level rise. When the lake began to fill the
crater there was doubtless but little seepage. Presuming that over the
period of filling the amount of seepage has gone from 0 to 20 inches, we
take the average, or 10 inches, as being the average amount of
precipitation lost by seepage. That leaves 10 inches as the average
effective annual increase deposited in the lake, or 555 million cubic
feet a year. At this rate it would have required 730 years to fill the
lake, presuming that rainfall and evaporation rates to have averaged as
in the past fifty years.