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<H2 align=3Dcenter>SUPPLEMENTAL INFORMATION...IN GREATER DEPTH</H2>
<H4 align=3Dcenter>To complement the Daily Summary for Tuesday, 13 =
October 2009=20
</H4>
<H3 align=3Dcenter>MASS BUDGETS AND THE HYDROLOGIC CYCLE</H3>
<HR>

<P>Water resides as a liquid, solid or vapor within one of several =
reservoirs=20
constituting our planetary system. Incoming solar radiation provides the =
energy=20
for changes in the physical phase of the water and an exchange of water =
between=20
these reservoirs. This exchange is often called the hydrologic cycle. =
The=20
earth's hydrologic cycle is an extremely important factor, not only =
directly=20
sustaining life, but permitting the planet to remain a habitable place, =
by=20
moderating the flow of solar energy into the planetary system, the flow =
of long=20
wave radiation out of the system, and the distribution of energy within =
the=20
planetary system. </P>
<P>Various disciplines within the earth sciences focus upon certain =
aspects of=20
the water cycle. Meteorologists usually focus primarily upon water in =
the=20
atmosphere, precipitation and, to a certain extent, evaporation - the =
primary=20
mechanisms involving the exchange of water between the atmospheric =
reservoir and=20
those reservoirs that reside on the earth's surface. Besides considering =
the=20
extent of clouds and the amount of water vapor in the atmosphere, =
meteorologists=20
routinely measure precipitation - the depth of water accumulated on a =
unit area=20
from rainfall or snowfall in 24 hours or a month or a year. </P>
<P>On the other hand, hydrologists, concerned with water on or under the =
earth's=20
surface, typically focus upon exchange processes on land. Often, they =
are=20
concerned with flow rates in rivers and the amount of soil moisture that =
affects=20
the water table. </P>
<H4>THE BUDGET PHILOSOPHY</H4>
<P>One method used to quantify the flow of water between various =
reservoirs on=20
the planet is the mass budget. Like the financial budget that many of us =
try to=20
maintain in our personal lives, the mass budget can simply be stated as =
"the=20
gain (input) is equal to the loss (output) plus storage". On the earth's =
surface=20
we can rephrase this statement to say that any water gained by =
precipitation=20
would be balanced by the loss due to evaporation and surface runoff, =
plus any=20
storage term which would be associated with either a change in the =
soil's water=20
table or a change in lake or ocean levels. </P>
<P>We could apply this type of mass budget approach to any size system - =
ranging=20
from the size of a cornfield through the Mississippi River watershed =
that covers=20
a large portion of the nation , to the entire planet. </P>
<H4>PLANETARY AVERAGES</H4>
<P>Let us consider the entire planetary system on a long-term basis as=20
represented by annual averages. Over this time scale, we can assume that =
the=20
gain to the surface, as represented by the annual precipitation averaged =
over=20
the globe should equal the loss through evapotranspiration, since we =
cannot=20
detect large changes in stored water over time. </P>
<P>The annual average precipitation for the entire planet is =
approximately 33=20
inches (83 centimeters), with the same amount of evaporation taking =
place=20
annually. Obviously, any locale can depart greatly from these annual =
global=20
averages, with some desert locales such as Death Valley, CA receiving =
minuscule=20
amounts of precipitation annually, while some stations on Hawaii receive =
over=20
200 inches (5 meters) per year. Usually, more evaporation usually takes =
place=20
over the oceans, while more precipitation typically takes place over the =
land.=20
The differences between rates over land and ocean are reconciled by a =
net runoff=20
of the excess rainwater from the continent by rivers, and a net onshore =
flow of=20
moisture in the atmosphere. </P>
<H4>AVERAGE RESIDENCE TIME</H4>
<P>So how fast does water cycle through a particular reservoir? Let us =
trace an=20
"average water molecule" that is free to move between any of the =
hydrologic=20
reservoirs. The average residence time that this water molecule would =
spend in=20
any particular reservoir depends upon the combined effect of reservoir =
size (as=20
indicated in Table 6.1 in the <I>Weather Studies </I>text) and the rates =
at=20
which water either replenishes or depletes the reservoir. </P>
<P>Applying mass budgeting techniques to each hydrologic reservoir, =
water=20
molecules would cycle through the clouds most rapidly, spending an =
average of=20
only 1.3 hours in a cloud as a cloud droplet or ice crystal and between =
9 to 10=20
days as a water vapor molecule in the atmosphere. On the earth's =
surface, our=20
water molecule would only remain for approximately 2 weeks, but as =
ground water,=20
it would remain in the top soil for approximately 3 months and as much =
as 10,000=20
years in deep aquifers. Because of the immense size of the oceans, the =
molecule=20
could spend an average 3300 years in the world oceans. The longest =
recycling=20
time for a water molecule would be in the polar ice caps and glaciers of =
the=20
world, where the average residence time would be on the order of 11,500 =
years.=20
</P>
<P>These average residence times verify our observations that clouds are =
indeed=20
short lived, with new water molecules from the atmosphere rapidly =
replenishing=20
the water droplets and ice crystals that are continually removed from =
the cloud=20
base by precipitation (as rain or snow) and by evaporation (or =
sublimation) into=20
the atmosphere. The water vapor in the atmosphere recycles on the same =
time=20
scales as those average time scales that we associate with weather =
systems that=20
appear on weather maps. The times needed for the water to pass through =
the ocean=20
and the ice caps (some times called the "cryosphere") are on the same =
time=20
scales as those usually associated with long term climatic change, such =
as=20
experienced since the last large scale glaciation of the Northern =
Hemisphere=20
some 11,000 years ago.</P>
<HR>

<P><I>Return to the <A=20
href=3D"http://www.ametsoc.org/amsedu/online/archive/course/09_fall/f09w0=
6t_sum.html">Tuesday=20
Daily Weather Summary </A></I></P>
<P><I>Prepared by Edward J. Hopkins, Ph.D., email <A=20
href=3D"mailto:hopkins@meteor.wisc.edu">hopkins@meteor.wisc.edu</A> =
<BR>=A9=20
Copyright, 2009, The American Meteorological Society. =
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