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Upper-Air Data Validation and Applications

Note: EPA no longer updates this information, but it may be useful as a reference or resource.


Definitions
Upper-Air Data
Upper-AirInstruments
Data Validation and Examples
Common Problems Encountered in Upper-Air Data
Investigate Upper-Air Meteorological Data
Radar Profiler Reflectivity Cn2
Investigate Boundary Layer Structure and Evolution
Trajectory Analysis of Surface and Aloft Transport (Austin)
Isentropic Analysis
Performing Trajectory Analyses
Analysis of Aloft Winds During Episodes
Analysis of Ventilation and Recirculation
Summary
References


DEFINITIONS

agl above ground level
bscat Light-scattering coefficient
CBL Convective boundary layer
Cn2 Radar profiler reflectivity
NARSTO North American Research Strategy for Tropospheric Ozone
NBL Nocturnal Boundary Layer
NWS National Weather Service
RADAR RAdio Detection And Ranging
RASS Radio Acoustic Sounding Systems
RH Relative Humidity
SODAR SOund Detection And Ranging
Tv Virtual Temperature
WD Wind Direction
WS Wind Speed

UPPER-AIR DATA PAMS Data
  • PAMS requirements are for one upper-air station per PAMS network with four soundings per day of winds and temperature. Instruments that provide these are rawinsondes, radar wind profilers with radio acoustic sounding systems (RASS), and SODARs with RASS.
Radar wind profilers with RASS provide hourly averaged vertical profiles of winds, virtual temperature, and related quantities such as the radar reflectivity structure parameter, which can be used to estimate mixing depth. Non-PAMS Data
  • Aircraft instrumented to measure ozone, NO, NOy, hydrocarbons, carbonyl compounds, SO2, CO, meteorological observables, position, and altitude.
  • Satellite photographs
  • Tethersondes and ozonesondes measurements of ozone concentrations as a function of altitude.

UPPER-AIR INSTRUMENTS
System Variablesa Approx. Frequency Height Range(km) Resolution (m)
Rawinsonde WS, WD, T, RH, Td, p
mixing height

404 MHz
1680 MHz

3 to 5 p, T, Td, RH: 5-10
Winds: 45-75
Mini-SODAR WS, WD, u, v, w, 3-5 kHz <0.3 5 - 20
Standard SODAR WS, WD, u, v, w,
turbulence, mixing height
1-3 kHz <2 20 - 50
Mega-SODAR WS, WD, u, v, w,
turbulence, mixing height
<1 kHz <5 100 - 200
Radar profiler WS, WD, u, v, w,
mixing height
915 MHz <5 60 - 200
RASS Tv 2 kHz <2 60 - 200
Where WS = wind speed; WD = wind direction; u, v, and w are the east-west, north-south, and vertical components of the wind, respectively; T = dry bulb air temperature; Td = dew point temperature; Tv = virtual temperature; RH = relative humidity; and p = pressure. (U.S. EPA, 1995)


DATA VALIDATION

Data Screening Tests

  • Wind shear checks
  • Hydrostatic checks (temperature)
  • Temporal and vertical consistency checks
Manual Screening Tests
  • Meteorological reasonableness
    • climatology
    • local and regional weather conditions
  • Vertical and temporal consistency
    • compare adjacent times and heights
    • useful for continuous data (hourly)
How to Screen Data
  • Establish dominate (prevailing) weather pattern
  • Examine individual profiles
  • Identify cause of outlier (meteorological or instrument)
  • Use other supporting data (surface, weather maps, reflectivity, etc.)

COMMON PROBLEMS ENCOUNTERED IN UPPER-AIR DATA

Rawinsonde systems

  • Poor ventilation may occur if the instrument's air channels become obstructed during operation or due to a manufacturing defect
  • Radio frequency (RF) interference
  • Uncertainties in the position tracking mechanism can be caused by factors such as radio frequency interference, downbursts or updrafts, or icing conditions
  • Icing
  • Poor Loran reception
SODAR wind profiler systems
  • Fixed echo reflections (ground clutter)
  • Ambient noise interference
  • Reduced altitude coverage due to debris in the antenna
  • Precipitation interference
Radar wind profiler systems
  • Interference from migrating birds
  • Precipitation interference
  • Ground clutter - interference caused by stationary objects, such as trees, power lines, buildings
  • Velocity folding or aliasing
RASS systems
  • Vertical velocity correction
  • Potential cold bias - under certain conditions (possibly associated with site selection issues) RASS observations may exhibit a bias of -10 C or so.

Use this legend as an aid to interpret plots of winds in this document.

Wind Barb Key


Figure 1

Quality assurance of upper-air meteorological data is critical. This figure illustrates bird interference. Example of bird contamination in radar profiler data collected at New Brunswick, NJ on September 5, 1995.

Example of bird contamination in radar profiler data collected at New Brunswick, NJ on September 5, 1995. The northerly winds from 2100 and 2300 EST between 500 and 2000 m agl were actually caused by the radar measuring the motion of birds migrating to the south, instead of the northwesterly atmospheric winds. Birds act as large radar "targets," so that signals from birds overwhelm the weaker atmospheric signals. The color plot of signal-to-noise ratio (i.e., reflectivity) shows a region of strong reflectivity that coincides with these northerly winds. Birds generally migrate year-round along preferred flyways, with the peak migrations occurring at night during the Spring and Fall months (Gauthreaux, 1991). Additional information about bird contamination of radar wind profiler data can be found in Wilczak et al. (1995).

The top figure is a time-series plot of wind speed and direction at various altitudes. The orientation of the barb indicates wind direction (nose up = wind from north). The number of tails on the barbs indicates wind strength.

The bottom figure is a time-series plot of reflectivity at various altitudes. (Red = strong reflectivity, Blue = weak reflectivity.)


Figure 2

Another type of natural phenomenon that can invalidate upper-air meteorological data is precipitation.41Example of precipitation interference in radar profiler data collected at New Brunswick, NJ on September 22, 1995. Missing wind data at 1100, 1700-1900, and 2200 EST were caused by precipitation. During precipitation, the radar profiler measures the fall speed of rain drops or snow flakes. In this example, the profiler measured strong, downward motion of -3 to -8 m/s (blue region), which is actually the motion of the rain drops. Missing winds resulted when the radar measured both atmospheric and precipitation motions and the sub-hourly data failed quality control checks (Dye, 1996).


Figure 3

Recurrent and excessive ground clutter can seriously damage data quality. Siting issues are very important. Example of ground clutter interference from a radar profiler site at Red Hook, NY on August 25, 1995. Example of ground clutter interference from a radar profiler site at Red Hook, NY on August 25, 1995. Ground clutter is caused when a transmitted signal is reflected off an object instead of the atmosphere. In this case, the radar signals were reflected off distant treets, which produced the light winds between 0600 and 0800 EST (Dye, 1996).


INVESTIGATE UPPER-AIR METEOROLOGICAL DATA
  • Estimate mixing heights from radar profiler reflectivity (Cn2) and RASS data and prepare diurnal plots of mixing heights.

The depth of the mixed layer is a critical parameter for understanding the formation, dispersion, and transport of ozone and precursors during pollution episodes.

  • Compare mixing height estimates made from various measurement techniques.
  • Investigate temporal (day-to-day), spatial, and episode versus nonepisode differences in mixing heights.
  • Prepare time-height cross sections of winds and potential temperature at selected locations (important locations where sufficient data are available).

RADAR PROFILER REFLECTIVITY Cn2
  • Cn2 is a measure of the variations in the refractive index of the atmosphere. Turbulence produces variations in atmospheric temperature, humidity, and pressure, which in turn cause variations in the radio refractive index.
  • Cn2 is a useful parameter for estimating daytime mixing depth and nighttime residual layer structure.
  • The reference list provides equations for computing Cn2 and guidance in its use.
  • Theory: Cn2 largest at inversion capping convective boundary layer (Wyngaard and LeMone, 1980)
  • Observations:

Mixing depth = peak in Cn2 profile
Verified against rawinsonde data (White, 1993)
Verified against aircraft data (Dye et al., 1995a)

  • Applications
  • Maximum mixing depth
  • Diagnose growth of mixed layer
  • Compare with model inputs

Figure 4 Proper interpretation of radar profiler data yields good estimates of mixing depth. Scatter Plot- Derived mixing depths estimated from Aircraft Profiles of Pollutant concentrations...
Figure 5

An understanding of mixing depth and other upper-air parameters enhances air quality analysis. This figure reveals two inversion layers corresponding to the Cn2 maxima.

1993 and profiles of turbulence, ozone concentration, and temperature measured by an aircraft during a descent over the site."> Cn2 profile from the radar profiler at Southeast Houston on August 10, 1993 and profiles of turbulence, ozone concentration, and temperature measured by an aircraft during a descent over the site. The Cn2 profile peaks at 800 and 2400 m, which corresponds to the tops of two polluted layers. The first layer, from the surface to 800 m, was well mixed as indicated by high, uniform ozone concentrations and strong turbulence. This layer was capped by a weak stable layer between 800 and 1000 m, and the peak value of Cn2 closely corresponds to the top of this mixed layer. From 800 to 2300 m, the ozone and turbulence data suggest that mixing had occurred in this layer; these pollutants in this layer were likely vented by updrafts and clouds ahead of a sea-breeze front (Dye, 1996).


Figure 6

During growth and at midday, radar profiler data yield the best estimate of mixing depth. RASS data are superior when mixing heights are low, below 500 m. Time series plot of mixing depths estimated from a meteorological model for a radar profiler

Time series plot of mixing depths estimated from Cn2 and Tv data and from a meteorological model for a radar profiler site in Houston, TX for August 18-20, 1993 (Dye et al., 1995a). The agreement between the model, RASS Tv, and Cn2-derived mixing depths is quite good during the growth of the convective boundary layer (CBL - i.e., between 0800 and 1200 CDT). During the later afternoon and at night, discrepancies among all three estimates occurred.

Note that Cn2 mixing depths tend to be more accurate than Tv mixing depths during the day. The opposite is true when the nocturnal inversion layer forms.


INVESTIGATE BOUNDARY LAYER STRUCTURE AND EVOLUTION Boundary Layer Features
  • Nocturnal boundary layer
  • Evolution of the convective boundary layer
  • Mixing
  • Low-level nocturnal jet - A thin stream of fast-moving air (maximum speeds of 10-20 m/s) located 100 to 300 meters above ground. These phenomena have been observed in many parts of the world and are associated with weather fronts, sloping terrain, ducting and confluence in complex terrain and inertial oscillations associated with nighttime temperature inversions.
Analyses
  • Investigate typical profiler/RASS data during episodes, investigate the frequency of the nocturnal jet; investigate the spatial occurrence of the nocturnal jet.
  • Analyze tethersonde and ozonesonde data; compare with early-morning aircraft data and profiler/RASS data; investigate overnight pollutant and meteorological data.

Figure 7
These upper air data reveal a recurrent nocturnal jet.
Time series cross section of winds, mixing depth, and inversion conditions measured by the radar profiler on July 12-13, 1994 at Bermudian Valley, PA. Time series cross section of winds, mixing depth, and inversion conditions measured by the radar profiler on July 12-13, 1994 at Bermudian Valley, PA. The thin solid line denotes the height of the mixed layer estimated using Cn2 and RASS temperature data. The thick line denotes the subsidence inversion. The shaded area indicates the region of the nocturnal low-level wind maxima (Lindsey et al., 1995b).
ISENTROPIC ANALYSIS
  • Refers to locating surfaces of constant potential temperature and examining their structure, their relationships to other meteorological features present in the domain, and the implications of their relationships.
  • Analysis along constant potential temperature surfaces (called isentropes); computed from upper-air temperature, relative humidity, and pressure data.
  • Air parcels flow along isentropes because potential temperature is conserved during adiabatic motion.
  • Use isentropic cross sections for diagnosing the evolution of the boundary layer structure and winds to help evaluate pollutant transport.

Figure 8 Upper-air data can help elucidate complex structural features of the atmosphere that directly affect air quality and pollutant transport. West-to-east isentropic cross section from Rockford, IL to Muskegon, MI on June 26, 1991 at 0600, 0900, and 1200 CDT. West-to-east isentropic cross section from Rockford, IL to Muskegon, MI on June 26, 1991 at 0600, 0900, and 1200 CDT. Isentropes are contoured every 2 K. Aloft winds are plotted every 500 m at each rawinsonde site. The shaded region in the 0900 CDT figure denotes aircraft measurements of NOx concentrations from 20 to 40 ppb. The early morning conditions were characterized by a stable NBL over land and a stable conduction layer over Lake Michigan. The isentropes show that during the morning, the land breeze and the general offshore flow in Chicago, Gary, and Milwaukee would transport emissions offshore into the conduction layer. Hydrocarbon concentrations measured between 0700-0900 CDT in Chicago and offshore confirmed this type of transport. (Dye, et al., 1995b)
TRAJECTORY ANALYSIS OF SURFACE AND ALOFT TRANSPORT

Analysis Objectives

  • Diagnose important surface and aloft transport pathways and examine and evaluate key source-receptor relationships in a region.
  • Evaluate the potential for long-range transport overnight, and estimate the contribution of aloft carryover of ozone and precursors to regional background concentrations.
  • Characterize periods when surface and aloft transport are coupled (typically during the daytime in the convective boundary layer) versus periods when aloft transport is decoupled from near-surface processes (such as occurs at night as the stable NBL develops).
  • Examine the relative roles of same-day transport versus multi-day transport of ozone and precursors to key receptors where exceedances were observed.
  • Help develop recommendations for future aloft meteorological and air quality measurement strategies in the region.

PERFORMING TRAJECTORY ANALYSES
  • Assemble required data: hourly surface and upper-air meteorology (wind speed and wind direction).
  • Determine physical barriers to airflow.
  • Prepare 3-D wind fields for selected periods using the selected wind field model.
  • Run the 3-D trajectory model.
  • Assess results with respect to other analyses and data.

Figure 9

This figure shows a trajectory for a parcel of air observed at an altitude of 300 meters. Each symbol represents position in 2-hour increments. The trajectory indicates an eddy, with very little transport occurring from 7:00 a.m. to 4:00 p.m.This figure shows a trajectory for a parcel of air observed at an altitude of 300 meters. 300-m backward trajectory starting from Aldine, Texas at 1600 CST on August 19, 1993 (SAI et al., 1995).


Figure 10

Trajectory analyses performed from different sites help build consensus about transport phenomena. Trajectory analyses performed from different sites...

100-m backward trajectories starting from Gilchrist at 1300 CST, Texas City at 1300 CST, Seabrook at 1400 CST, and Smith Point at 1400 CST, on September 8, 1993 (SAI et al., 1995).


Figure 11

Trajectories should be launched for several hours and from different locations to arrive at a consensus regarding air parcel origins. 300-m forward trajectories from Galveston, Texas at all hours on August 18.

300-m forward trajectories from Galveston, Texas at all hours on August 18 (SAI et al., 1995).


Figure 12

The upper-air data in this figure show that inland there is a shallow inversion at night and deep mixing during the daytime.Time-height cross sections..

Time-height cross sections of winds from the Southeast Houston radar profiler on August 19 and 20, 1993. Hourly surface winds are also plotted at 10 m (SAI, et al., 1995). Solid lines indicate the top of the mixed layer.


Figure 13

In this figure, over the water, the marine boundary layer shows little diurnal variation. The meteorological phenomena in the Southeast Houston and High Island Platform examples are important to consider when assessing air quality.Marine boundary layer showing little Diurnal variation Time-height cross sections of winds from the High Island Platform radar profiler on August 19 and 20, 1993. Hourly surface winds are also plotted at 10 m (SAI, et al., 1995). Solid lines indicate the top of the mixed layer.


ANALYSIS OF ALOFT WINDS DURING EPISODES
  • Millstone Point, Connecticut on July 14, 1995
    • 37 sites had ozone concentrations &sup3; 125 ppb
    • Occurred in Connecticut, Delaware, Maine, Maryland, Massachusetts, New Jersey, New York, Pennsylvania, and Rhode Island
    • Third day of a 4-day episode (July 12-15, 1995)
  •  Holbrook, Pennsylvania on July 31, 1995
    • 12 sites had ozone concentrations &sup3; 125 ppb
    • Occurred in New Jersey, Pennsylvania, and Virginia
    • Beginning of a 3-day episode (July 31 - August 2, 1995)
    • 2 aircraft spirals at Holbrook (0830 and 1400 EST)
    • 0830 EST - Ozone was &raquo;80 ppb up to 1000 m agl
    • 1400 EST - Ozone was &raquo;115 ppb up to 1500 m agl

Figure 14

Light and variable winds during the daytime allow ozone and its precursors to accumulate. Example of radar profiler winds during an ozone episode

Example of radar profiler winds during an ozone episode from a site at Holbrook, Pennsylvania on July 31, 1995 (Dye, 1996)


Figure 15

Relatively high winds at a regional boundary suggest that ozone and its precursors can be transported substantial distances.Another example of radar profiler winds during an ozone episode

Example of radar profiler winds during an ozone episode from a site at Holbrook, Pennsylvania on July 31, 1995 (Dye, 1996). Wind speeds range from 10 to 13 m/s in the plot which can produce transport distances of 360 km in 10 hours.


ANALYSIS OF VENTILATION AND RECIRCULATION
  • Used to investigate transport conditions aloft.
  • Procedure based on integral quantities computed from the profiler data following the work of Allwine and Whiteman (1994).
  • Parameters include:
S Scalar wind run (km)
L Resultant (vector) transport distance (km)
Q Resultant wind directions in degrees from true N adjusted to the proper quadrant
R Recirculation factor (L/S)
  • Recirculation Factor:
R = 1 Straight-line, steady transport occurred during integration period
R = 0 No net transport
R&raquo; 1 Good ventilation conditions (for L = few hundred km)
R small Stagnation for small S (i.e., low winds)
Recirculation for low L (i.e., < 50 km)
Figure 16

On days with low ozone concentrations, aloft winds showed little recirculation. Vector integrated transport distances, resultant wind directions, and recirculation factors (R)

Vector integrated transport distances, resultant wind directions, and recirculation factors (R), calculated from data collected by the southeast Houston (SHE) radar profiler for the period 0600-1700 CDT on August 16, 1993 (SAI et al., 1995).


SUMMARY
 Analysis  Tool(s)  Data Requirements
Investigate upper-air meteorology Algorithms
Data display programs or spreadsheets Surfer
Upper-air met, surface met, aircraft temperature profiles, satellite images, surface air quality
Investigate carryover and initial conditions Data display programs
Surfer
Upper-air met, aloft air quality
Investigate boundary layer structure Data display
Surfer
Upper-air met
Trajectory analyses 3-D wind field model, 3-D trajectory model Surface and upper-air met

UPPER AIR REFERENCES

Allwine K.J. and Whiteman C.D. (1994) Single-station integral measures of atmospheric stagnation, recirculation, and ventilation. Atmos. Environ. 28, 713-721.

Blumenthal D.L., Lurmann F.W., Roberts P.T., Main H.H., MacDonald C.P., Knuth W.R., and Niccum E.M. (1997) Three-dimensional distribution and transport analyses for SJVAQS/AUSPEX. Draft report prepared for the San Joaquin Valleywide Air Pollution Study Agency, California Air Resources Board, Sacramento, CA by Sonoma Technology, Inc., Santa Rosa, CA, STI-91060-1705-DFR, February.

Chang J.C. and Hanna S.R. (1993) Trajectory calculation for selected LMOS periods. Report prepared for Sonoma Technology, Inc., Santa Rosa, CA by Sigma Research Corp., Concord, MA, Report No. 1197-600, May.

Dye T.S. (1996) Unpublished data. Sonoma Technology Inc., Santa Rosa, CA.

Dye T.S., Lindsey C.G., and Anderson J.A. (1995a) Estimates of mixing depths from "boundary layer" profilers. In Preprints of the 9th Symposium on Meteorological Observations and Instrumentation, Charlotte, NC, March 27-31, STI-94212-1451.

Dye T.S., Roberts P.T., and Korc M.E. (1995b) Observations of transport processes for ozone and ozone precursors during the 1991 Lake Michigan Ozone Study. J. Appl. Meteorol. 34, 1877-1889. (STI-1384).

Gauthreaux Jr. S.A. (1991) The flight behavior of migrating birds in changing wind fields: radar and visual analyses. Amer. Zool. 31, 187-204.

Hanna S.R. and Chang J.C. (1993) Representativeness of 1991 LMOS ozone episodes and relations between ozone episodes and meteorological variables in the Lake Michigan area. Report prepared for Sonoma Technology, Inc., Santa Rosa, CA by Sigma Research Corp., Concord, MA, Report No. 1197-407/411, January.

Lindsey C.G., Dye T.S., Blumenthal D.L., Ray S.E., and Arthur M. (1995a) Meteorological aspects of summertime ozone episodes in the Northeast. Paper FA 5.8 to be presented at the 9th Joint Conference on the Applications of Air Pollution Meteorology at the 76th AMS Annual Meeting, Atlanta, GA, January 28-February 2, 1996, (STI-1549).

Lindsey C.G., Dye T.S., Roberts P.T., Anderson J.A., and Ray S.E. (1995b) Meteorological aspects of ozone episodes in southeast Texas. Paper No. 95-WP96.02 presented at the 88th Air & Waste Management Association Annual Meeting, San Antonio, TX, June 18-23.

Lindsey C.G., Dye T.S., and Baxter R.A. (1995d) Draft guidelines for the quality assurance and management of PAMS upper-air meteorological data. Final report prepared for U.S. Environmental Protection Agency, Research Triangle Park, NC by Sonoma Technology, Inc., Santa Rosa, CA, Work assignment 10-95, EPA Contract No. 68D30020, STI-94611-1556-FR, December.

Main H.H., Chinkin L.R., Haste T.L., Roberts P.T., and Reiss R. (1997) Shasta County ozone and ozone precursor transport quantification study. Final report prepared for the Shasta County Department of Resource Management, Redding, CA, STI-95180-1714-FR, March.

Roberts P.T. and Main H.H. (1992) Characterization of three-dimensional air quality during the SCAQS. In Southern California Air Quality Study Data Analysis. Proceedings from SCAQS Data Analysis Conference, University of California, Los Angeles, CA, July 21-23, Air & Waste Management Association, Pittsburgh, PA, (STI-1223), VIP-26.

Roberts P.T., Main H.H., Smith T.B., Lindsey C.G., and Korc M.E. (1992a) Analysis of 3-D air quality data and carbon, nitrogen, and sulfur species distributions during the Southern California Air Quality Study. Final report prepared for the Coordinating Research Council, Atlanta, GA by Sonoma Technology, Inc., Santa Rosa, CA, STI-99100-1213-FR, October.

Roberts P.T., Musarra S., Smith T.B., and Lurmann F.W. (1992c) A study to determine the nature and extent of ozone and ozone precursor transport in selected areas of California. Final report prepared for the California Air Resources Board, Sacramento, CA by Sonoma Technology, Inc., Santa Rosa, CA, STI-90060-1162-FR, December.

Roberts P.T., Main H.H., Lindsey C.G., and Korc M.E. (1993a) Ozone and particulate matter case study analysis for the Southern California Air Quality Study. Final report prepared for the California Air Resources Board, Sacramento, CA by Sonoma Technology, Inc., Santa Rosa, CA, STI-90020-1222-FR, May.

Roberts P.T., Main H.H., and Korc M.E. (1993b) Comparison of 3-D air quality data with model sensitivity runs for the South Coast Air Basin. Paper No. 93-WP-69B.05 presented at the Air & Waste Management Association Regional Photochemical Measurement and Modeling Studies Conference, San Diego, CA, November 8-12, STI-1244.

Roberts P.T., Dye T.S., Korc M.E., and Main H.H. (1994) Air quality data analysis for the 1991 Lake Michigan Ozone Study. Final report prepared for Lake Michigan Air Directors Consortium, Des Plaines, IL by Sonoma Technology, Inc., Santa Rosa, CA, STI-92022-1410-FR.

Roberts P., Korc M., Blumenthal D., and Mueller P.K. (1995a) NARSTO-Northeast 1995 summer ozone study. Version 1. Report prepared for Electric Power Research Institute, Palo Alto, CA by Sonoma Technology, Inc., Santa Rosa, CA, STI-95135-1538-WD1; Research project EPRI WO9108-01.

Systems Applications International, Sonoma Technology Inc., Earth Tech, and Alpine Geophysics (1995) Gulf of Mexico Air Quality Study. Vol 1: Summary of data analysis and modeling. Draft final report prepared for U.S. Department of the Interior, Minerals Management Service, Gulf of Mexico OCS Region, New Orleans, LA, OCS Study, MMS 94-0046, SYSAPP-95/013d.

Tremback C.J. and Lyons W.A. (1993) Trajectory calculation derived from CALRAMS simulations. Report prepared for Lake Michigan Air Directors Consortium, Des Plaines, IL by ASTeR, Inc., Ft. Collins, CO, August.

White A.B. (1993) Mixing depth detection using 915 MHz radar reflectivity data. In: Preprints, AMS 8th Symposium on Meteorological Observations and Instruments, Anaheim, CA, January 17-22.

Wilczak J.M., Strauch R.G., Weber B.L., Merritt D.A., Ralph F.M., Jordan J.R., Wolfe D.E., Lewis L.K., Wuertz D.B., Gaynor J.E., McLaughlin S., Rogers R., Riddle A., and Dye T. (1995) Contamination of wind profiler data by migrating birds: characteristics of corrupted data and potential solutions. J. of Oceanic and Atmos. Tech., 12, 449-467.

Wyngaard J.C. and LeMone M.A. (1980) Behavior of the refractive index structure parameter in the entraining convective boundary layer. J. Atmos. Sci., 37, 1573-1585.

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