1432 JOURNAL OF CLIMATE VOLUME 26 GPS Precipitable Water as a Diagnostic of the North American Monsoon in California and Nevada JAMES D. MEANS Scripps Institution of Oceanography, University of California, San Diego, San Diego, California (Manuscript received 4 April 2012, in final form 4 September 2012) ABSTRACT Precipitable water derived from archived global positioning system (GPS) zenith travel-time delays is used to describe the seasonal and interannual variation of the North American monsoon in California and Nevada. A 3-hourly dataset of precipitable water from 2003 to 2009, for over 500 sites in California and Nevada using temperature and pressure interpolated from the North American Regional Reanalysis (NARR), is constructed to study the temporal and spatial extent of the North American monsoon in the desert regions of California and Nevada. The statistical distribution of precipitable water values is shown to delineate the region that is most often affected by the monsoonal influence. A normalized precipitable water index is employed to indicate when the monsoon starts and stops and to investigate spatial variability. The GPS network provides much higher spatial resolution than other meteorological networks using surface-based methods, such as dewpoint criteria and rainfall, and is seen to contain comparable ability in capturing temporal variations. This dataset reveals the northwestward propagation of the monsoon onset both synoptically and seasonally. The GPS observations indicate that in the mean the decay of the monsoon is less well defined than the onset. Seven-year reanalysis 700-mb geopotential height composites for the monsoon onset and 3 days prior indicate that the onset of the monsoon is associated with a shift in the synoptic pattern characterized by upper-level high pressure building from the east and offshore troughing retreating to the northwest. 1. Introduction In recent decades it has become apparent that the North American monsoon system is one of the largest seasonal weather systems to affect the continent. It brings widespread thunderstorms to the southwestern United States and northwestern Mexico, typically during the months of July, August, and early September. It is an important rain producer, bringing a significant portion of the annual precipitation to the region, albeit with significant year-to-year variability. The scope of terminology of the monsoon has expanded over time, with early studies referring to the ‘‘Arizona singularity’’ (Bryson and Lowrey 1955) and the Arizona monsoon, then the Mexican monsoon (Douglas et al. 1993), Southwest monsoon, and now the North American monsoon (Adams and Comrie 1997; Corresponding author address: James D. Means, Scripps Institution of Oceanography, Mail Code 0224, UCSD, 9500 Gilman Dr., La Jolla, CA 92093. E-mail: jmeans@ucsd.edu DOI: 10.1175/JCLI-D-12-00185.1 Ó 2013 American Meteorological Society Higgins et al. 1997), but with few exceptions the primary studies have been over Arizona and Mexico. However, as explored here, the monsoon exerts its influence regularly up to the Peninsular Range of Southern and Baja California, where thunderstorms are a regular occurrence during the months of July, August, and early September (Campbell 1906; Tubbs 1972). While the actual amount and fraction of the total annual rainfall is smaller west of the Colorado River, it still is an important factor in the summertime climate of the Southern California deserts and adjacent mountains. When monsoonal moisture arrives on a ‘‘Gulf surge’’ it is not uncommon to see the dewpoints in southeastern California reach levels more typical of places like Key West or Corpus Christi, belying the adage that desert heat is a ‘‘dry heat’’ (Brenner 1974; Fuller and Stensrud 2000; Hales 1972). In many parts of the world, such as the Indian subcontinent, it is standard to use observed rainfall as a criterion for monsoon onset. However, in the southwestern deserts it is problematic to use such an approach because the localized nature of the convection and the 15 FEBRUARY 2013 1433 MEANS TABLE 1. Meteorological stations and monsoon diagnostics for Southern California and adjacent regions. Location Lat (8) Lon (8) Elev (m) Jun (mm) Jul (mm) Aug (mm) Jul O Jun (—) Aug O Jun (—) Anza Anza-Borrego Baker Barstow Bishop Blythe Brawley Campo Cuyamaca El Centro Idyllwild Las Vegas Laughlin Mojave Needles Mountain Pass Ocotillo Palm Springs Palomar (Mt.) Phoenix San Diego Thermal Yuma 33.56 33.23 35.27 34.88 37.37 33.62 32.95 32.62 32.98 32.77 33.75 36.07 35.17 35.05 34.76 35.47 32.75 33.83 33.38 33.43 32.73 33.63 32.65 2116.68 2116.41 2116.07 2117.02 2118.37 2114.60 2115.55 2116.47 2116.58 2115.57 2116.72 2115.16 2114.58 2118.16 2114.62 2115.54 2116.00 2116.50 2116.83 2112.02 2117.17 2116.17 2114.62 1193.3 245.4 287.1 707.1 1253.0 81.7 230.5 801.6 1414.3 29.1 1639.8 649.5 184.4 833.6 278.6 1441.7 125.0 129.5 1691.6 337.1 4.0 234.1 64.9 1.8 0.5 1.8 1.3 5.3 0.8 0.3 2.3 6.9 0.3 5.8 2.0 1.8 1.3 1.0 6.4 2.0 1.3 4.6 2.3 2.3 0.5 0.3 11.7 8.4 4.8 5.8 4.3 4.6 1.8 7.4 10.9 1.5 19.8 11.2 6.9 4.1 8.1 24.6 8.4 4.8 10.7 25.1 0.8 4.8 5.8 14.7 15.0 12.2 5.6 3.3 16.5 10.7 14.0 23.6 8.1 24.1 11.4 11.2 6.9 17.8 30.2 11.9 10.2 23.1 23.9 2.3 9.4 13.5 6.6 16.5 2.7 4.6 0.8 6.0 7.0 3.2 1.6 6.0 3.4 5.5 3.9 3.2 8.0 3.9 4.1 3.8 2.3 11.0 0.3 9.5 23.0 8.3 29.5 6.9 4.4 0.6 21.7 42.0 6.1 3.4 32.0 4.1 5.6 6.3 5.4 17.5 4.8 5.9 8.0 5.1 10.4 1.0 18.5 53.0 relatively sparse observations make it difficult to ensure that rainfall is being adequately sampled. Nevertheless, that was the approach of Bryson and Lowrey (1955) in their seminal paper on the monsoon. They defined a ‘‘raininess index,’’ which was simply the fraction of climatological stations in Arizona that received a trace or more of precipitation on a given day. Their work showed a rapid increase in the raininess index after 1 July. Such an approach is more useful for Arizona than it is for California because the monsoon rainfall is generally greater there. This can be seen in Table 1, which shows monsoon (June–August) rainfall over stations in Southern California, Nevada, and Arizona. Monsoon precipitation at Phoenix is greater than at any California site except Mountain Pass, which is at a much higher elevation. Nevertheless, it is clear that monsoonal influence is important in California also, as can be seen by the ratio of rainfall during July and August, during the monsoon, to June rainfall, prior to the monsoon onset. The California desert and mountain stations have ratios greater than one, indicating monsoonal influence, while San Diego (a coastal site) and Bishop (a high desert site farther north than the others) have ratios less than or equal to one, indicating that the monsoon is weak or essentially not present in those areas. Later researchers (e.g., Skindlov 2007) used a dewpoint criterion for monsoon onset instead of a raininess index. Dewpoint data from the few available Southern California desert stations indicate that they fall within the monsoon region. Figure 1 shows a comparison of the dewpoints in Phoenix, Arizona, and El Centro, California, over the monsoons of 2006–09. Despite the measurements being taken over 300 km apart, the two curves are remarkably similar, with many signature peaks and valleys corresponding to monsoon moisture waxing and waning. Generally the dewpoints are higher at El Centro than they are at Phoenix, a strong indication that the monsoon influence extends into California, even if monsoon rainfall is more prevalent in Arizona. 2. Methodology Travel-time delays of global positioning system (GPS) signals between satellites and ground-based receivers can be used to determine precipitable water at the receiver site, if the temperature and pressure at the site are known (Bevis et al. 1992; Duan et al. 1996). A database of GPS-derived precipitable water at 3-hourly intervals has been constructed for over 500 sites in California and Nevada (see Fig. 2), covering the period 2003–09. The precipitable water was calculated using hourly GPS zenith delays archived by the Scripps Orbit and Permanent Array Center (SOPAC) and temperature and pressure at the GPS sites obtained from spatial interpolation of the 32-km resolution North American Regional Reanalysis (NARR) data, using a method 1434 JOURNAL OF CLIMATE VOLUME 26 FIG. 1. Plot showing daily averaged dewpoints for El Centro and Phoenix during monsoon time periods of 2006–09. described in Means and Cayan (2013). An hourly database was also constructed in a similar fashion by interpolating the 3-hourly NARR values to intermediate hours. This database of GPS precipitable water is similar to that provided by the SuomiNet network of GPS receivers, and indeed some of the same GPS sites are used. The ability to use NARR data to provide the station pressure and temperature needed to calculate the precipitable water from the station delay, rather than to rely on meteorological station data, opens up many more sites to the analysis. If we had restricted our study to SuomiNet sites we would have had only about 50 sites in California and Nevada that we could have used, and our spatial coverage would have been much less dense. A direct comparison between nine overlapping sites showed that root-mean-square (RMS) differences between the SuomiNet values for precipitable water and those calculated using our technique ranged from 1.5 to 2.1 mm (Means and Cayan 2013). These derived precipitable water values provide a regular progression of ‘‘snapshots’’ of atmospheric water vapor at higher temporal and geographic resolution than can be obtained from radiosonde data. The insight that can be obtained into the monsoon onset from this database is illustrated in Figs. 3a and 3b, two precipitable water images of the region from 18 h apart. The first image, Fig. 3a, shows dry conditions over the entire region that were present before the onset, while Fig. 3b, the later image, shows moisture increasing over the Imperial Valley in the southeastern portion of the region as the monsoon begins. Figure 3c shows the situation 18 days later, with the monsoon fully in place over the region. 3. Precipitable water statistical distribution Many sites around the world show a lognormal distribution in their precipitable water values (Foster et al. 2006). This is presumably a consequence of being under the influence of a single air mass for a majority of the year. In contrast, monsoonal regions exhibit distributions of precipitable water that are bimodal. This is understandable as being due to a seasonal variation in the dominant air mass, with different moisture characteristics for each. Figure 4 shows the contrast between a site that is nearly always subject to a midlatitude maritime air mass, GPS site farb in the Farallon islands off of San Francisco, and Mumbai, India, a classic monsoon location. The precipitable water for farb is drawn from the GPS dataset, while that for Mumbai is from 10 years of 40-yr European Centre for Medium-Range Weather Forecasts (ECMWF) Re-Analysis (ERA-40) data (Uppala et al. 2005). An excellent fit to a lognormal distribution is seen at farb while the distribution for Mumbai is clearly bimodal. 15 FEBRUARY 2013 MEANS FIG. 2. GPS sites for which precipitable water was derived. The U.S. states of California, Nevada, and Arizona are labeled CA, NV, and AZ; the Mexican states of Baja California Norte and Sonora are labeled BC and SO; and the Gulf of California (Sea of Cortez) is labeled GC. No previous studies have been done on the precipitable water distributions associated with the North American monsoon, so it was not clear at the outset whether bimodal characteristics would be seen. A visual examination of the 3-h frequency distribution from 2003 to 2009 from more than 500 GPS sites in California and 1435 Nevada revealed that sites in the monsoon had either a clear bimodal nature or at least an enhancement of the high-end tail of the distribution (a ‘‘shoulder’’) (see Fig. 4). Of the 513 sites examined, 100 of them, or 19.5%, were found to deviate from a simple lognormal distribution by having an enhancement of the tail of the distribution. Every one of those sites fell into the ‘‘South Coast Drainage’’ or ‘‘Southeast Desert Basin’’ climate divisions of California, or the ‘‘Extreme Southern’’ climate division of Nevada. Each of these are from the southernmost climate divisions, presumably ones that most come under the influence of the North American monsoon during the summer months. The shape of the precipitable water probability distribution appears to be an effective way of identifying monsoonal regions. To be more useful as a criterion for distinguishing between monsoonal and nonmonsoonal distributions it would be good to have a quantity that may be objectively calculated. Although bimodality is a concept of widespread interest in all areas of science, there is no single accepted objective measure of bimodality, but instead many different measures that appear in the literature (Knapp 2007). The reason that so many different measures of bimodality have been constructed may be that none is universally useful—they all have regions of applicability where they characterize the bimodal nature of a distribution well, but they fail as a measure of the bimodality of other distributions. This characteristic means that a bimodality measure that works well for describing obvious monsoonal distributions like that for Mumbai (Fig. 5) fails to detect the subtle variations that FIG. 3. GPS PWV images. (left) 13 Jul 2007, prior to the onset of the monsoon. (middle) Image is 18 h later at the onset of the monsoon. (right) Image is 18 days later when the monsoon is fully developed. 1436 JOURNAL OF CLIMATE FIG. 4. Plot of precipitable water distribution at southern California desert site iid2. Deviation of distribution from lognormal form at the high end is indicative of monsoon. distinguish the degree of influence of the North American monsoon. To this end we have tested a number of different measures of bimodality with real and synthetic data and have settled on the ‘‘bimodality coefficient’’ of Sarle (Knapp 2007; SAS 2008) as the most useful for our data. It can be written in terms of the kurtosis k, skewness s, and number of observations n as (SAS 2008) b5 k2 1 1 3(n 2 1)2 s1 (n 2 2)(n 2 3) . VOLUME 26 If this easily calculated quantity allows us to distinguish between monsoonal and nonmonsoonal stations just by a simple calculation based on the statistical distribution of precipitable water values for a location, it can be thought of as a possible ‘‘monsoon index.’’ Higher values should be obtained for stations where the monsoon exhibits a greater influence, and lesser values for stations away from the monsoon region. Figure 6 (left) is a plot of b and shows that the highest values (greater than 0.4) are indeed found in the monsoon regions, with values decreasing away from the monsoon region. To test whether the monsoon is responsible for these higher values of b, the monsoon time period can be excluded from the distributions and b calculated again; Fig. 6 (right) shows the results of doing this, using mid-June to mid-September as an approximate time span for the monsoon. The bimodality index is greatly decreased for the sites in the monsoon region, with about 90% of all sites showing a decrease, and no sites with values above 0.35. The only sites showing an increase are those in the area north of 388N, and with an absolute magnitude change that is not significant. Thus, it can be concluded that b serves as a useful measure of the monsoonal nature of a particular station, at least in the region under study. 4. Monsoon onset and retreat Experts have debated the best way to characterize the onset and retreat of the North American monsoon. Various criteria have been proposed (Skindlov 2007), FIG. 5. (left) PW distribution from the GPS site farb, in the Farallon Islands off of San Francisco. The plot from this site is an excellent fit to a lognormal distribution and displays no monsoonal influence. (right) The distribution of precipitable water values for Mumbai, India, as derived from 10 yr of ERA-40 data. Mumbai is a classic monsoon location and clearly shows a bimodal distribution of precipitable water values. 15 FEBRUARY 2013 1437 MEANS FIG. 6. (left) The bimodality index calculated for the entire year. (right) The bimodality index with the prime monsoon period excluded. The large decrease demonstrates that it is effective as a monsoon index. including ones based on rainfall, dewpoint, and integrated column water vapor or precipitable water. A criterion based on rainfall is perhaps most practical from a forecasting viewpoint, since the public has a strong interest in knowing when summer thunderstorms may occur for business planning, recreation, and safety, as well as just general interest. There are impracticalities associated with such an approach, however, since it is dependent on rainfall catch in gauges that may be very sparse in the harsh desert environment. Dewpoint criteria have proven very useful, and this is the approach that was taken by forecasters in the Phoenix and Tucson offices of the National Weather Service for a number of years, where the criteria has been three consecutive days of mean dewpoint of 12.88C (558F) or greater at Phoenix. One problem with dewpoint criteria is that they are dependent on the elevation of the observing station, since higher stations typically have lower dewpoints. In fact the National Weather Service recognized this and set the monsoon onset criterion slightly differently for Tucson, which is at a higher elevation than Phoenix, at 3 days with dewpoints of 12.28C (548F) or higher. Another shortcoming of dewpoint criteria is that they may not reflect the presence (or lack of) deeper moisture. It is not uncommon to see very shallow intrusions of high dewpoint air into the Imperial Valley without accompanying thunderstorm activity over nearby mountains, because the moist layer is too shallow. Ellis et al. (2004) have combined dewpoint and precipitation into a single monsoon criterion that offers a regional approach to monsoon onset and retreat, but may be less useful when applied locally. An improvement over dewpoint may be the integrated water vapor or ‘‘precipitable water.’’ In recent years GPS delay measurements of precipitable water have greatly increased the availability, both spatially and temporally, of precipitable water data. This has prompted some researchers to suggest that precipitable water can be used instead of dewpoint, with one suggestion being that onset be associated with the first of at least three consecutive days with precipitable water over 30 mm. In fact, such a criterion yields results, when applied to central Arizona, that are very similar to those of the dewpoint criterion, with the added guarantee that when the precipitable water criterion is met there will certainly be sufficient atmospheric moisture to generate convection—whether or not instability is present or precipitation is observed in what may be sparsely distributed gauges. Precipitable water, being the amount of water vapor in the air above the observation point, is subject to one of the same kind of shortcomings as is dewpoint—its value depends upon the elevation of the observation point, as higher elevations will necessarily have less atmosphere, and hence less water vapor, above them. A way around this shortcoming has been suggested by (Zeng and Lu 2004), who define a Normalized Precipitable Water Index (NPWI): NPWI 5 PW 2 PWmin , PWmax 2 PWmin where PWmax and PWmin are the maximum and minimum of the daily averaged precipitable water at a location. This 1438 JOURNAL OF CLIMATE VOLUME 26 FIG. 7. (a) Time series of GPS precipitable water at four sites in southeastern California for July and August 2007. (b) The Normalized Precipitable Water Index (NPWI) at the same sites. NPWI has smaller spread than actual precipitable water. removes some of the dependence of precipitable water on location and elevation, since it normalizes the range of the variable from a minimum of about zero (it can be negative on exceptionally dry days) to a maximum on the order of one (values of one can be exceeded for particular days that exceed the maximum daily average value). Figure 7 compares the actual precipitable water value and the NPWI for four sites along a southeast– northwest transect across the Imperial Valley during the months of July and August 2007. The similarity between the precipitable water curves at the different sites is striking, and is made even more so by looking at the NPWI rather than the actual value of precipitable water. Such an approach has been found to be extremely useful for defining monsoon onset and retreat, because NPWI provides a measure that is independent of elevation and position for a particular geographic area. Additionally, the same criterion based on NPWI has 15 FEBRUARY 2013 MEANS 1439 FIG. 8. Daily averaged dewpoint at El Centro and NPWI at nearby GPS station P496 for 2006–09. Plots are scaled vertically so the horizontal gridlines showing the threshold for monsoon onset are coincident in terms of dewpoint (512.88C) on left axis and NPWI (50.618) on right axis. been found to be useful for defining monsoon onset and retreat in vastly different basins, from the prototypical Indian monsoon, with a mean value of precipitable water of 77 mm, to the much drier monsoon in Arizona, with a mean value of precipitable water of 45 mm (Zeng and Lu 2004). The actual monsoon onset criterion suggested by Zeng and Lu, because it proved useful and also as something of an intuitive leap, was one where the NPWI exceeded the ‘‘golden ratio’’ of 0.618 for three consecutive days, with the first such day defining the onset. While there may have been a touch of whimsy in basing the definition on the golden ratio—anything around 0.6 would probably have worked just as well—the golden ratio appears quite often in nature where things are being divided, and in a sense the year is being divided up into a wet season and dry season. The monsoon retreat is defined similarly, as the first of three consecutive days with an NPWI less than the golden ratio, but with the further condition that if there are multiple ‘‘onsets’’ (monsoons often exhibit dry breaks), then the retreat is the first such retreat date that occurs after the final onset. This ensures that the retreat actually occurs at the end of the monsoon, and is not just a sequence of three dry days that has occurred after a particularly moist synoptic situation (such as an atmospheric river storm), which may temporarily increase the NPWI up to monsoon levels. Since the Zeng and Lu onset definition based on the NPWI has proven to be remarkably robust worldwide, this is examined here, using the database of precipitable water values, but first it is appropriate to determine whether it gives similar results to a criterion based on dewpoint. To evaluate this, a GPS site, P496, is compared with El Centro, where hourly dewpoint readings are available. FIG. 9. GPS sites (widc, cact, glrs, and iid2) used to study monsoon onset propagation. The U.S. states of California and Arizona are labeled CA and AZ; the Mexican states of Baja California Norte and Sonora are labeled BC and SO; the Pacific Ocean is labeled PO and the Gulf of California is GC. 1440 JOURNAL OF CLIMATE The two sites are located 10 km apart. The four plots of Fig. 8 show the daily averaged dewpoint at El Centro and normalized precipitable water index at the nearby GPS station P496 for 2006, 2007, 2008, and 2009. The plots are scaled so that the horizontal gridline that shows the threshold for monsoon onset in terms of Td 5 12:88C (on left axis) and the horizontal gridline that shows the precipitable water threshold for monsoon onset, NPWI 5 0:618 (on right axis), are coincident. If these criteria are equivalent, the dewpoint curve and precipitable water curve will cross the gridline at the same time (each threshold requires 3 days of exceedance). Despite measuring somewhat different quantities, with different sampling frequencies, and at slightly different locations, the curves are very similar. This demonstrates that surface dewpoint and NPWI yield approximately equivalent measures of monsoon onset. Examination of a set of dewpoint and NPWI records before and during the monsoon yields a similar degree of correspondence, so it is concluded that NPWI is an appropriate measure of monsoon activity and is adopted here for that purpose. 5. Propagation of monsoon onset The rather sudden onset of the monsoon suggests that the moisture front associated with onset must propagate fairly rapidly from south to north. To resolve a rapidly propagating moisture front between nearby sites, the VOLUME 26 TABLE 2. Imperial Valley GPS sites used in study of monsoon onset propagation. Site Lat (8) Lon (8) Elev (m) iid2 glrs cact widc 32.71 33.27 33.66 33.93 2115.03 2115.52 2115.99 2116.39 44.2 214.85 551.2 477.03 Distance between sites (km) 77.3 61.6 47.7 NARR 3-hourly data (Mesinger et al. 2006) are interpolated to every hour and an hourly database of precipitable water is calculated based on the hourly GPS zenith delays. While the NARR interpolation could lead to problems in rapidly changing synoptic situations, the amount of error in precipitable water that errors in pressure and temperature contribute is reasonably small (Bevis et al. 1994; Means and Cayan 2013), and there is no reason to expect the errors associated with changing values of these quantities to be large during the monsoon. If the moisture front moves slowly enough and if there is enough distance between the sites, it should be possible to detect the monsoon onset propagating northward. A map of isochrones of an advancing gulf surge given in Brenner (1974) suggests that the speed may vary depending on influences of the terrain—speeding up in low friction areas while slowing down in more complex terrain. The surge studied by Brenner was first observed at FIG. 10. The 2003, 2004, 2006, and 2007 monsoon onset for four sites in the Imperial Valley, southeastern California. 15 FEBRUARY 2013 MEANS 1441 FIG. 11. Geostationary Operational Environmental Satellite (GOES) visible image from 4 Jul 2008 showing cumulus and cumulonimbus forming over the Peninsular Range of Southern and Baja California associated with the onset of the monsoon in that region. Extensive cumulus field and large thunderstorm complexes can also be seen farther east over Arizona and northern Mexico. Yuma, then at Phoenix and Thermal 3 h later, indicating a relatively fast passage across the lower Colorado River Valley, while the isochrones north of Thermal are much more closely packed, suggesting that the surge had slowed down. Even the faster propagation seen by Brenner farther south suggests that it should be possible to observe the moisture advance with the 1-h time resolution used here. To examine the space–time development of the monsoon in southeastern California, four GPS sites were chosen along a southeast–northwest transect through the Imperial Valley (the starred stations in Fig. 9) and the precipitable water time series for each station that contains the monsoon onset is plotted. The monsoon onset time along the transect can then be examined for systematic variations associated with the propagation of the monsoon moisture front. The total length of the transect is about 186 km. Table 2 gives the location information for the sites and the distance between adjacent sites. Data from all these sites are not available for every year of the record, so only those years were included for which each of the four sites contained the monsoon onset: 2003, 2004, 2006, and 2007. The results are shown in Fig. 10. On each plot the golden ratio onset criterion is plotted as a horizontal line. There are several examples of ‘‘false’’ onsets, during which the NPWI exceeded the golden ratio but failed to sustain that level for the 3-day minimum requirement. For example, the plot from 2003 shows such a false onset at all the stations, which is followed a few days later by the true onset. Some of the onsets are quite dramatic, showing a large increase in normalized precipitable water index over a short time span. Each plot shows the southeasternmost station experiencing the onset first—in fact, this holds for the 1442 JOURNAL OF CLIMATE VOLUME 26 FIG. 12. The NARR 700-mb height composites (m) for 7 yr of monsoon onsets. (left) The composite of 3 days prior to monsoon onset in California with flow generally from the south and southwest. (right) The composite of day of monsoon onset showing a high building in from east with flow shifting to south to southeasterly across the region. Images provided by the National Oceanic and Atmospheric Administration’s Earth System Research Laboratory, Physical Science Division, Boulder, Colorado, from their web site at http://www.esrl.noaa.gov/psd/. false onsets also. Generally the onset can be seen to occur later at the more northwestward stations, more or less in the order iid2, glrs, cact, and widc (site abbreviations are given in Tables 2 and 3) but at times it is difficult to see any time difference between nearby stations, suggesting that there is geographical complexity to the moisture field, and also that this is probably near the time resolution of the onset passage for nearby stations. In some cases the monsoon onset may be associated with the northern extension of a tropical easterly wave passing through the area. This may be the case for the monsoon onset of 2008, shown in the visible satellite image of Fig. 11. Cumulus and cumulonimbus can be seen forming over the Peninsular Range of Southern California and Baja California, while farther east over Arizona large thunderstorm complexes and an extensive cumulus field can be seen. 6. Climatology of monsoon duration From the database sites were extracted that are contained within the National Climatic Data Center’s Southeast Desert climate division, and then from those sites a subset was selected using only those sites that had a record of greater than 95% temporal coverage over the period. This yielded 40 GPS sites with very complete records of observations, which were further culled down to 24 sites by examining the gaps in each site’s record, and rejecting sites with large gaps during the summer season. For each of these sites, the monsoon onset, retreat, and duration (time between onset and retreat) were calculated for each year from 2003 to 2009, and the results are given in Table 3. The first thing to notice about the monsoon onset date is how small the variation is from site to site, only varying between day of year 188 and 191 for every site except for cccc. The site-to-site variation is much smaller than the variance from year to year at a single site. There is a similar homogeneity in the mean retreat days, which vary from 255 to 261 across all sites, with the single site variances generally being somewhat smaller for the retreat days than for the onset days. In general from this data there does not appear to be much evidence for a geographical variation in the onset and retreat, indicating that in each year the onset and retreat are synoptic-scale events that affect the entire region. The monsoon onset and retreat can also be calculated in a somewhat different sense by forming the daily mean precipitable water at each site over the full 7 years and using that to determine the monsoon onset and retreat days. Since this method involves averaging across the 7 years under study, it smooths out the precipitable water variations that often herald the onset in a particular year, delaying the onset and hastening the retreat of the monsoon. The time period defined by the onset and retreat calculated in this fashion can be thought of as the ‘‘core’’ time period of the monsoon. The core onset calculated from the 7-yr mean has an even smaller 15 FEBRUARY 2013 1443 MEANS TABLE 3. GPS sites used in this study and their 2003–09 monsoon index, mean monsoon onset day, retreat day, and duration determined from 7-yr GPS precipitable water data. (S.D. 5 standard deviation.) Site Lat (8) Lon (8) Elev (m) Monsoon index Mean onset 6 S.D. (DOY) Mean retreat 6 S.D. (DOY) Mean duration (days) crrs mvfd cotd dssc bemt msob bmhl sdhl ldes opbl tabl opcl avry pbpp agmt ldsw hcmn troy rstp bsry phlb cccc shos ryan 33.07 33.21 33.73 33.73 34.00 34.23 34.25 34.26 34.27 34.37 34.38 34.43 34.47 34.51 34.59 34.70 34.75 34.84 34.88 34.92 34.93 35.57 35.97 36.32 2115.74 2116.53 2116.39 2116.71 2116.00 2117.21 2116.05 2116.28 2116.43 2115.92 2117.68 2116.31 2117.15 2117.92 2116.43 2116.21 2116.43 2116.53 2118.19 2117.01 2117.69 2117.67 2116.30 2116.65 248 1222 60 1692 1405 1765 754 866 1009 1258 2259 1344 920 934 1369 672 600 645 745 645 918 844 612 1315 0.426 0.431 0.424 0.414 0.436 0.406 0.434 0.436 0.429 0.435 0.416 0.43 0.398 0.384 0.426 0.424 0.415 0.411 0.363 0.386 0.374 0.377 0.409 0.415 190 610 188 611 191 610 188 612 190 69 188 612 191 69 191 69 189 612 188 612 188 612 188 612 188 612 188 612 188 612 189 612 189 612 188 612 188 612 188 612 188 612 184 614 189 612 189 612 249 65 249 611 246 69 246 69 251 68 246 612 247 69 247 69 247 69 247 69 245 613 247 69 246 68 247 69 247 69 252 67 251 68 251 68 249 67 251 68 247 69 246 69 248 612 245 611 60 62 55 59 62 59 59 56 58 59 57 58 59 60 59 63 63 63 61 63 60 62 59 56 variation, and is day 195 or 196 at all sites. The small variation could be an accident of the short duration of the dataset (only 7 yr), but the same is not seen for the date of the monsoon core retreat, which varies from day 213 to day 233. This large variation in end date results in a similarly large variation in monsoon duration. Generally, the monsoon retreat is seen earlier in sites that are farther north and west, resulting in longer monsoon duration to the south and east, as might be expected with the moisture source lying in that direction. The duration of the monsoon core dates has a weak but statistically significant correlation with latitude (decreasing to the north) and longitude (decreasing to the west). The results indicate that monsoon onset and retreat are synoptic-scale events that affect most of the monsoon region within a relatively short time span, with monsoonal moisture flooding northward in a single surge, while the retreat may be associated with an early cool-season passage of a baroclinic disturbance. To better understand the dynamics of the monsoon onset, a NARR 700-mb geopotential height composite was created from 7 yr of monsoon onset dates at the GPS site crrs, as well as a composite of 3 days previous to the monsoon onset dates (see Fig. 12). In the premonsoon onset composite the 700-mb winds are generally out of the southwest, becoming more southerly at the eastern side of the region. Upper-level high pressure is present over Arizona and a trough is offshore from California. This situation would bring in stable, dry air that has descended off the east Pacific high and would inhibit convection. The composite of the monsoon onset days shows a strikingly different synoptic situation. The upper-level high over Arizona is stronger and has built westward and northward, and the offshore trough has retreated to the northwest, with a col (an area of weak pressure gradients between two highs and two lows) now appearing southwest of the region. This configuration results in upper-level winds backing to a south to southeasterly direction. This would bring in air that had previous contact with the Gulf of California (and possibly the Gulf of Mexico and tropical eastern Pacific) and has a much higher moisture content that would make it more susceptible to convection when lifted by heating and orographics. 7. Conclusions GPS precipitable water measurements for the period 2003–09 show that the Southern California deserts experience a large increase in atmospheric water vapor 1444 JOURNAL OF CLIMATE associated with the North American monsoon. The monsoonal character of the late summer season is easily recognizable in the statistical distribution of precipitable water, and can be quantified using an index of distribution bimodality. The Normalized Precipitable Water Index has been demonstrated to be a very useful indicator of monsoon onset and retreat and can be used to study the propagation of the monsoon onset front across the region. The relatively short 7-yr climatology of precipitable water indicates that the monsoon starts and stops at approximately the same time across the desert region, perhaps associated with particular synoptic events, such as the passage of a tropical easterly wave across the region for the onset and a cool-season baroclinic disturbance bringing about the retreat. During the onset the moisture front can be seen propagating northwestward in the precipitable water data over a time period of a day or less. In contrast, the retreat of the monsoon is more gradual, with the monsoonal moisture leaving northern and western regions first and southern and eastern regions days or weeks later. Acknowledgments. 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