167
know which formula to apply. Solar radiation measurements will be made at four levels above ground up to
about 1000 feet or greater. These will provide the distribution within the laver of measurement. Extrapolation techniques for determining the mixing depth may
be developed by uw series of comparison measurements
using helicopter and balloon data and the pyrheliometer measurements. These measurements will consist of
vertical profiles of temperature and particulates in addition to those of other atmospherie constituents such as
SO, or water vapor. A cheek on the systemis, of course,
essential before operational reliability can be established.
Aerosols may oceur in layers varying from 10’s to
100’s of feet in thickness above the primary mixing
layer near the ground.“ Should this condition prevail,
then the method as described here will be ineffective in
determining the true mixing depth. However, work is
currently in progress which will allow a determination
of the position and thickness of such lavers. This involves a passive system using two pyranometers separated by a baseline of about 2000 feet. The covariance
of the solar radiation flux observed by the two instruments involving 2 common volume arising from two intersecting cones of view is computed continuousiy, The
height and extent of acrosol layers may be determined
from the covariance measurements as the commonvolume is allowed to change its clevation above ground.
The pyranometer system also requires validation by
independent means such as by aireraft or balloons.
Advantages of the Pyrheliometer System for Measuring
Mixing Depth
The technique described here is essentially a passive
remote probe, but it would work best during cloudless

daytime conditions. During cloudyconditions or during
the night, it may be neeessury to develop an active svstem in which a source of electromagnetic energy is used.
When conditions of severe pollution exist, un extensive antieyelone is generally present. With extensive
high pressure areas, atmospheric subsidence is likely,
with the result that little cloudiness is present. One may,
therefore, expect to find that this system works well
when needed during high pollution situations.
As indicated in the schematic diagrams, Figures 131

and 133, the information obtained from the pyrheliome-

ters may be passed through an electronic circuit in
which the output represents the height of the mixing
depth. This output may be transmitted to a central
control point, such as an air pollution control office,
where a recording meter provides continuous readings
of the height of the mixing depth.
The pyrheliometer technique represents distinct advantages over the systems currently available for measuring the mixing depth, such as those with helicopters,
fixed winged aircraft, or bailoons. At best undercurrent
systems, only 2 few measurements per day can be obtained. With a system such as described in this pauper,
continuous measurements are provided. These, of
course, would be invaluable for not only providing a
better insight into meteorological processes, but-as a
valuable tool for incident control.
REFERENCES

1. MeCormick, R. A. and Kurfis, K. R. Vertical diffusion of
aerosols over a city. Quart. J. Roy. Meteoral. Soc. 92(393),
392-396 (1966).
2. Gilroy, John. Private Communication, 1969.

3. Davidson, Ben. A summary of the New York urban air
pollution dynamies research program. J. Atr Pollution

Control Assoc. 1703), 154-158 (1967).

THE TABULATION TECHNIQUE FOR FORECASTING CONCENTRATIONS
OF URBAN AIR POLLUTANTS

Harry Afoses, J. B. Anderson, and D. F. Gatz
An urban air pollution model can be of considerable use to
a municipality

for imcident control, for the siting of new

plants, and for assessing the effectiveness of abatement pro-

cedures. Two types of urban air pollution models are avail-

able: 1) the source-oriented model, and 2) the receptor-oriented model.
In

the

tabulation prediction

technique.

combinations of

meteorological variables are arranged in an ordered sequence
in tabular form. For each combination of meteorological variables, a cumulative percentile distribution of the concentrations of a selected pollutant. eg. SO. is presented. Also
included are relevant statistical parameters such as the interquartile range, the mean. or the number of cases.

The development of a tabulation prediction technique requires a number of preliminary analyses. These include test-

ing meteorological variables for their relative importance in
influencing the pollutant concentrations, selecting optimum
class intervals of the weather elements, and deciding the most
effective arrangement of the independent variables in the
tabulation.

These ure examined in a discussion of the construction of
this technique. The paper also discusses the continual upgrading of the tabulation prediction technique and its use in
source surveillanee. An example is given of the tabulation
prediction technique as applied to the city of Chicago.

When material is injeeted into the atmosphere,
whether it be from a distributed arca source or a point
source, the meteorological conditions determine the

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