Analyzing and Forecasting
Rocky Mountain Lee Cyclogenesis
Often Associated With Strong Winds
Corresponding author address:
Dr. David M. Schultz
NOAA/National Severe Storms Laboratory
1313 Halley Circle
Norman, Oklahoma 73069
E-mail: david.schultz@noaa.gov
The slopes of southern Alberta are a favored location for lee cyclogenesis (e.g., Bowie and Weightman 1914; Petterssen 1956; Chung et al. 1976; Zishka and Smith 1980; Whittaker and Horn 1984; Nielsen and Dole 1992) and many previous studies have explored synoptic-scale aspects of Rocky Mountain lee cyclogenesis using observational (e.g., Newton 1956; McClain 1960; Carlson 1961; Hovanec and Horn 1975; Locatelli et al. 1989) and modeling (e.g., Bates 1990; Bannon 1992; Steenburgh and Mass 1994; Davis 1997) approaches. In particular, Palmén and Newton (1969, 344-349) and Steenburgh and Mass (1994, Fig. 22) present similar conceptual models illustrating the typical development of an Alberta low (e.g., Bowie and Weightman 1914; Huschke 1959), colloquially known as an Alberta clipper. This development occurs as follows.
Initially, a cyclone over the eastern North Pacific Ocean approaches the west coast of North America. As the tropospheric flow crossing the Rocky Mountains increases, lee troughing occurs, fixed to the lee slopes of the mountains by warming due to dry adiabatic descent. Eventually, a mid- to upper-tropospheric absolute vorticity maximum (i.e., shortwave trough or jet streak) may ``couple'' with the lee trough, causing the lee trough to become mobile (departure). A review of previous literature on lee troughing and lee cyclogenesis can be found in Steenburgh and Mass (1994, section 2).
Idealized-modeling studies (e.g., Buzzi et al. 1987; Bannon 1992; Davis 1997) provide insight into these observations. As the primary cyclone encounters the topography, it weakens and decelerates, curving northward. Redevelopment occurs on the lee side, south of the region of incidence of the dissipating primary cyclone. The cyclolysis of the primary cyclone and cyclogenesis of the lee trough are viewed as manifestations of the interaction of the mountain with the baroclinic wave associated with the primary and lee cyclones. The strength and location of the surface cyclones are modulated by the wave-mountain interaction.
Thus, forecasting the timing of departure of the lee cyclone would appear to be conceptually simple: given knowledge of the movement of the upper-level vorticity maximum, the timing of the departure could be easily determined. In practice, forecasting lee cyclogenesis is more difficult.
As noted by Smith et al. (1997, section 7b) in their recommendations for future research opportunities to improve forecasting in regions of orography, numerical forecast models often handle lee cyclogenesis poorly. For example, the Nested-Grid Model (NGM) has a well-documented bias to forecast cyclones that are too intense over land, in particular, in the lee of the Rockies (e.g., Grumm and Siebers 1989, 1990; Alexander and Young 1990; Kousky and Grumm 1993b). Rocky Mountain lee cyclones in the United States tend to be forecast too far north and east (e.g., Mullen and Smith 1993; Smith and Mullen 1993), whereas Rocky Mountain lee cyclones in Canada tend to be forecast too far north and west (e.g., Mullen and Smith 1993; Smith and Mullen 1993; Hutchinson 1995). This northward bias may be related to the NGM's inability to capture fully the wave-mountain interaction described earlier. Also, the position errors tend to be aligned along the direction of travel of the cyclones, indicating that the NGM has difficulty diagnosing the cyclone speed, the timing of cyclone formation, and/or the timing of departure (e.g., Mullen and Smith 1990; Grumm et al. 1992; Hutchinson 1995). Brown and Szoke (1994) have found that these surface-cyclone movement errors are related to similar movement errors with the associated upper-level vorticity maxima. Such errors have been attributed to inadequate upstream data for initialization, coarse model resolution and terrain representation, various sea level pressure reduction techniques, and different representations of form drag. Thus, the ability of the models to forecast departure accurately depends upon their ability to forecast the movement of the upper-level features accurately.
Unfortunately, other National Centers for Environmental Prediction (NCEP) operational forecast models produce similar errors in the lee of the Rockies, errors that have been documented as early as the six-layer primitive-equation model (Leary 1971) and the Limited-Area, Fine-Mesh Model (LFM; as reviewed by Junker et al. 1989). These errors are found in the current operational models as well: the aviation run of the Global Spectral Model (AVN; e.g., Grumm and Siebers 1990; Smith and Mullen 1993; Grumm 1993), the Medium-Range Forecast Model (MRF; e.g., Walker and Davis 1995), and the 80-km version of the Eta model (e.g., Kousky and Grumm 1993a,b; Brown and Szoke 1994; Mesinger et al. 1996). Although the errors are smaller for higher resolution models, such as the 32- and 29-km Eta models (F. Mesinger 1999, personal communication) and the Rapid Update Cycle (RUC; e.g., J. Brown 1999, personal communication), the errors have similar biases and, in general, are not zero.
Given the potential difficulty in employing numerical models to forecast lee cyclogenesis and cyclone departure, knowing the location of upper-level vorticity maxima from the observations in near-real-time becomes of primary importance. The wind and thermal structures associated with upper-level vorticity maxima, however, can be observed most reliably using upper-air sounding data, which are only available every 12 h operationally. Dark regions in satellite-based water-vapor imagery (representing dry upper-tropospheric regions typically formed by subsidence behind upper-level vorticity maxima; e.g., Demirtas and Thorpe 1999) can be apparent in some cases, when not obscured by mountain-wave-induced clouds. Unfortunately, vorticity maxima may be difficult to detect as they move into the climatological ridge often present over western North America (e.g., Sanders 1988, Fig. 7; Bluestein 1993, Fig. 1.72a; Lackmann et al. 1996, Fig. 1). Additional tools to locate vorticity maxima indirectly between synoptic times (0000 and 1200 UTC) would be of some value to forecasters. The importance of knowing the location of upper-level vorticity maxima cannot be understated, since the precursor lee trough can be manifest for up to several days before departure, often with little indication that departure may be imminent. Thus, we believe that forecasts of the timing of departure can be improved by tracking upper-level features.
Therefore, the purpose of this paper is to examine a case of southern-Alberta lee cyclogenesis and to develop observational tools to aid forecasters in predicting when departure will occur. In section 2, an observational analysis of a lee cyclone that was associated with strong winds over much of the northwestern United States is presented, leading to a potential method for improving short-term forecasting of departure. A mesoscale-model simulation of this case is described in section 3 and is used to diagnose the lee cyclogenesis in section 4. This case-study analysis motivates the construction and interpretation of a larger dataset of lee-cyclogenesis events in section 5. Finally, section 6 presents a concluding discussion.
At 13/06, multiple low centers and troughs were apparent, as the cyclone reorganized amidst the complex terrain of western North America (Fig. 2c). The remains of the landfalling primary cyclone were located in western British Columbia. A second relative minimum in sea level pressure (as well as altimeter setting; not shown) was apparent over the Fraser River Valley in central British Columbia, a feature also analyzed by Steenburgh and Mass (1996, Figs. 4d and 7e,f) for a similar landfalling Pacific cyclone. Although the sparse observations outside the valley prevent a definitive conclusion regarding the nature of this troughing, hourly surface analyses (not shown) suggest that this trough formed in situ, rather than being a mobile feature associated with the landfalling cyclone. Whether this pressure minimum is genuine or a by-product of sea level pressure reduction at high-elevation stations cannot be conclusively determined from this analysis, but, as suggested in section 2b, this Fraser River Valley trough appears to be genuine. A third minimum in sea level pressure was a trough in the lee of the Rocky Mountains (Fig. 2c), associated with sea level pressure falls exceeding 3 hPa h-1 (Fig. 3b).
By 13/09 (Fig. 2d), pressure rose in the Fraser River Valley and the Rocky Mountain lee trough developed further, with the 996-hPa minimum pressure immediately adjacent to the steep terrain. Two hours later (13/11; Fig. 2e), the central pressure deepened 2 hPa and the trough extended farther southeastward along the lee slopes of Montana and Wyoming. The largest pressure falls (exceeding 2 hPa h-1), however, occurred in southeast Alberta and northern Montana (Fig. 3c). Within the next hour (13/12; Fig. 2f), the low center jumped 300 km to southeast Alberta, as pressures rose rapidly (3 hPa h-1; Fig. 3d) immediately along the lee slopes. Maximum pressure falls exceeding 2 hPa h-1 continued to be located east of the low center (Fig. 3d). Thus, the movement of the lee cyclone away from the mountains was very abrupt, despite the comparative longevity of the lee trough. In this case, the trough existed for 11 h (0100-1100 UTC) before rapidly moving away from the terrain, movement which commenced within one hour.
Another method that has been proposed to follow mobile features is the isallobaric field. As shown in Fig. 3, the observed isallobars were useful in examining the magnitude and location of sea level pressure changes, yet pressures were falling for 6-12 h in southeastern Alberta before departure (Figs. 3b-d and 4a). In this case, detecting departure from the isallobaric field was masked by the overall pressure falls along the lee slopes. The arrival of the zero isallobar into Alberta at 13/11 (Fig. 3c), however, was coincident with departure. This relationship is substantiated by time series of altimeter setting (hereafter, also referred to as pressure) from western North American stations, indicating that a single trough or pressure minimum (zero isallobar) progressed across western North America (Fig. 4a), despite the complicated evolution analyzed on the surface maps (Fig. 2). Constructing a map of the isochrones of this pressure minimum confirms that 1100 UTC represents the time of minimum pressure along the lee slopes immediately prior to departure (Fig. 4b). As meteorologists, we are drawn to the maxima and minima of a field of isopleths. We argue, however, that tracking the location of the zero-isallobar may be a better indicator to the timing of departure than tracking isallobaric minima.
These pressure changes during the case study of lee cyclogenesis presented here occur during a time of relatively small pressure changes [less than 0.5 mb (3 h)-1] due to diurnal effects (Mass et al. 1991, Fig. A1). Therefore, the pressure-fall features seen in Figs. 2-4 are primarily due to synoptic-scale processes, not diurnal effects. The nature of the mobile pressure trough will be explored further in section 4b.
As further demonstration of the structure and evolution of the sea level pressure fields, we construct pressure-anomaly maps using a bandpass filter in both space and time using the methodology described in Doswell (1977) of differencing two low-pass filters. The response functions of the space and time filters (Figs. 5a,b) are designed to highlight subsynoptic-scale features (300-1500 km and 3-20 h), while eliminating small-scale noise and synoptic-scale patterns. As a result, this bandpass filter is well-suited to the analysis of the mobile pressure features in this case. The bandpass-filtered pressure analyses also minimize sea level pressure reduction errors, although both the bogus semidiurnal cycle caused by the temperature-averaging scheme used in sea level pressure reduction (Mass et al. 1991) and the genuine atmospheric semidiurnal cycle would still be present in the bandpass-filtered fields.
At 13/00, the bandpass-filtered pressure minimum was making landfall north of Vancouver Island (Fig. 6a),1 in agreement with the observed map at this time (Fig. 2b). By 13/03, the bandpass-filtered pressure was decreasing over central British Columbia with a second minimum along the coast (Fig. 6b), giving support for the Fraser River Valley minimum being a separate feature from the landfalling cyclone (see also Fig. 2c). The minimum over central British Columbia (Fig. 6c) remained in place for 3 h before moving abruptly toward the lee slopes of the Rockies (Fig. 6d), reminiscent of the southeastward jump in idealized models of lee cyclogenesis (section 1). After 13/09, the bandpass-filtered minima slowly drifted southeastward along the lee slopes into Montana (Figs. 6e,f), consistent with the southeastward extension of the lee trough after 0900 UTC (cf. Figs. 2d,e). Thus, the bandpass-filtered pressure fields illustrate their utility in highlighting the mobile pressure features responsible for departure.
As time series at these six stations illustrate, the sign of the temperature change associated with trough passage is not consistent between stations. Three of the six stations (UIL, GEG, FCA) have temperature falls associated with the trough passage ranging from 0.2 to 2°C per hour. Temperature changes associated with the trough passage at the other stations range from increase at YYF, constant at YQL, and increase then decrease at GTF. That the signal is not consistent among stations is one of the challenges in analyzing western United States weather situations. Even among the three stations where the temperature falls, the modest temperature changes force us to question the validity of analyzing this feature as a surface front, if we define a front as a region of strong horizontal temperature gradient (e.g., Sanders and Doswell 1995). Consequently, we have not analyzed a front with this feature (Fig. 2).
Prior discussion of the nonfrontal nature of these mobile pressure troughs can be found in Hess and Wagner (1948), an extension of earlier work by Henry (1908, 1916). Their ``moving pressure waves'' responsible for lee cyclogenesis typically progressed at a speed of about 20 m s-1 (1000 miles per day), similar to the 22 m s-1 average speed computed for this case from Fig. 4b. Therefore, the pressure minima could not have been related to surface fronts, recognizing that the speed of surface fronts is closely related to a low-level advective wind speed, which is usually less than 20 m s-1. A similar argument was made by Sanders (1999b), in his discussion of the complex evolution of a cold front in the southwest United States.
Few research studies have examined the low-level structure and evolution of lower-tropospheric fronts in the complex topography of western North America. Baroclinic zones associated with upper-level features are often indistinct or absent below 700 mb (Saucier 1955, 298); McClain and Danielsen (1955, 321) estimate that one-third to one-half of the landfalling Pacific cyclones may lack near-surface baroclinity. Williams (1972) asserts that cold fronts in the western United States often fail to move at the wind speed normal to the front in the cold air. Bonner (1961) found that lee cyclone formation occurred well ahead of the cold front of the parent surface cyclone. That the moving pressure waves are nonfrontal makes sense if one considers the difficulty in trying to move a surface air parcel through the complex terrain of the western United States, from the Pacific Coast to the lee slopes, in a relatively short time (e.g., 12 h from landfall to redevelopment in this case). Mayr and McKee (1995, p. 1450) find that flow of low-level air out of the Intermountain West was prohibited 65% to 92% of the time for a three-month winter period. Furthermore, Lackmann et al. (1998) note that the transport of moisture from the Pacific Ocean below 800 hPa during a continental precipitation event is small because of blocking by the Rocky Mountains. Coupled with the relatively weak baroclinity that landfalling cyclones often possess, tracking continuous baroclinic zones at the surface may not be feasible for all events, regardless of the density of surface observing stations. Further discussion of this point as it applies to operational surface analysis can be found in Hess and Wagner (1948, 17).
This case is additional evidence for the increasingly recognized fact that the surface wind shift or pressure trough does not necessarily have to coincide with the surface temperature change [see Schultz and Steenburgh (1999, p. 1109) and references within]. In a classical cold front, the arrival of cold, dense air in the lower troposphere is associated with concomitant surface pressure rises. Indeed, if the feature termed a cold front is a tropospheric-deep, baroclinic structure, then a pressure rise should accompany the temperature drop. In extreme cases of arctic frontal passages in the central Plains, for example, pressure rises of several hectoPascals (millibars) per hour can be observed. But, for typical troughs or weak fronts, the surface pressure changes associated with just the lower-tropospheric temperature changes may be overwhelmed by pressure changes due to other processes (i.e., height falls due to mobile pressure features aloft). This research suggests that further examinations of the variety of different processes that cause separation of the temperature gradient and the surface pressure trough are warranted.
Consequently, we question the applicability of analyzing this pressure minimum as a front on surface analyses. [As a contrasting example, the conceptual model of southern-Alberta lee cyclogenesis by Palmén and Newton (1969, Fig. 11.16), for example, shows the progression of a surface front through western North America.] Analysts might be tempted to draw a front within the pressure trough, but frontal properties may not be present (e.g., Sanders and Doswell 1995; Sanders 1999a,b).
Recently, Sanders (1999a) proposed a classification scheme encompassing fronts (regions of strong temperature gradient and cyclonic vorticity), nonfrontal baroclinic zones (regions of strong temperature gradient, but little to no cyclonic vorticity), and nonfrontal troughs (or baroclinic troughs, regions of strong cyclonic vorticity, but little to no temperature gradient). We feel that Sanders' (1999a) term nonfrontal trough best describes the feature in this case. It is important to draw the distinction between these features because their dynamics may be entirely different. Thus, by drawing a line on a map that is customarily referred to as a front, certain properties of that feature become implicit. For example, by labeling a feature a cold front, the textbook cross section through a cold front pops into our minds, whether the feature has those properties or not. Understanding the structure and evolution of weather systems moving through the western United States and their effects on sensible weather changes (e.g., temperature, cloudiness, precipitation) will depend on challenging these textbook notions.
Four-dimensional data assimilation was used throughout the simulation on the 90-km domain and during the first 12 h on the 30-km domain.2 The assimilation technique (Stauffer and Seaman 1990) employs Newtonian nudging to relax the model simulation to gridded 12-h upper-level and 3-h surface analyses. To create the upper-level analyses, National Meteorological Center (NMC, now known as NCEP) analyses were interpolated to the model grid. Surface and upper-air observations were then incorporated into the analysis using a Cressman-type analysis scheme (Benjamin and Seaman 1985). After the removal of superadiabatic lapse rates below 500 hPa, the analysis was interpolated to the terrain-following-coordinate system, and the integrated mean divergence was removed to avoid the production of spurious gravity waves. Three-hour surface analyses were generated similarly, with first-guess analysis fields provided by linear interpolation of 12-h NMC analyses. Lateral boundary conditions for the 90-km domain were generated by linear interpolation of the 12-h analyses. Throughout this paper, only output from the domain with 90-km horizontal grid spacing is displayed.
This simulation also provides some insight into the rapid evolution of the upper-level features between 0000 and 1200 UTC 13 December. Figure 8 shows the close relationship between the 500-hPa vorticity maximum and the mobile surface low-pressure center. In this paper, we use the model simulation to examine the feature aloft that appears to be responsible for the mobile surface cyclone.
(1)
(2)
(3)At 13/00, the forcing due to differential thermal advection at 500 hPa (Fig. 9a) is weaker than and occurs slightly upstream of that due to the vorticity advection (Fig. 9b), so that their sum lies nearly over the surface cyclone (Fig. 9c). Forcing for height falls by vorticity advection is slightly southeast of the surface cyclone (Fig. 9b), suggesting the importance of the mobile shortwave trough to the movement of the surface cyclone. Indeed, an absolute-vorticity maximum was located upstream of the landfalling cyclone (Fig. 8a). An east-west vertical cross section through these maxima shows that the forcing at 500 hPa is representative of deep mid- to upper-tropospheric forcing, which is maximized at the tropopause (Fig. 9d).
Similar diagnostics at 13/06 and 13/12 show that the forcing for height falls due to differential thermal advection is smaller in magnitude and in horizontal extent than that due to the vorticity advection (cf. Fig. 10a with Fig. 10b and Fig. 11a with Fig. 11b). As at 13/00, the total forcing for height falls is roughly collocated with the surface cyclone and is representative of a deep mid- to upper-tropospheric structure (Figs. 10c-d and Figs. 11c-d). The southeastward movement of the forcing after 13/06 is consistent with the southeastward movement of the bandpass-filtered pressure anomaly at the same time (cf. Figs. 10b,c-11b,c and Figs. 6d-f.)
In this section, computations of the terms in the QG height-tendency equation illustrated the relationship of the surface pressure minimum to forcing from the mobile upper-level vorticity maximum. Although these diagnostics showed a close relationship, an exact relationship cannot be expected for three reasons. First, to obtain the complete forcing for surface height falls, the forcing terms at all levels, not just 500 hPa, must be integrated. As shown in the cross sections (Figs. 9d, 10d, and 11d), however, the forcing is deep throughout the mid and upper troposphere, showing that a single level can be representative of a much deeper layer in these cases. Second, to obtain the actual QG height tendency at the surface, (3) would need to be solved explicitly, which is beyond the scope of this paper. Finally, we would expect the computed QG height tendency to equal the actual height tendency only in the most ideal of cases (e.g., neglecting nonQG, diabatic, and orographic effects). Therefore, the QG height-tendency diagnostics illustrate that the forcing for the mobile pressure minima at the surface is associated with the advection of upper-level absolute vorticity in the 13 December 1988 case. This fact gives us confidence that tracking mobile pressure minima in other cases of lee cyclogenesis is useful for locating the forcing for height falls due to the upper-level vorticity maxima.
One-hundred and eleven events were identified, averaging about 22 events per four-month winter period or about one event per six days. To ascertain the possibility that departure was associated with a mobile upper-level vorticity maximum, the sea level pressure tendency at Spokane, Washington (GEG) was characterized. Spokane was selected for three reasons. First, as noted by Atallah and Bosart (1998), a preferred pathway for 700-hPa vorticity maxima through the Cordillera of western North America is through the Columbia River Valley. Vorticity maxima that make it into eastern Washington by this route, hence, will pass very near Spokane. Thus, Spokane is ideally located for experiencing the effects of mobile mid- to upper-tropospheric vorticity maxima associated with lee cyclogenesis. Second, Spokane lies on a relatively broad plain in eastern Washington and should be relatively unaffected by transient orographic pressure disturbances. Third, Spokane is a reliable first-order station, plotted on nearly every NMC 3-h surface map. When maps at two or more times reported the same minimum pressure value at Spokane, the time with a pressure check in the pressure-tendency notation was selected. If no pressure check was reported, then the later time was selected. For the 13 December 1988 case, Spokane reported a minimum pressure at 0600 UTC (Fig. 7c), 6 h before departure at 1200 UTC 13 December (Figs. 2e,f).
For 69 (62%) of the 111 events, Spokane reported a minimum in pressure 3-9 h (1-3 surface maps) before the event (Fig. 12). Nineteen events (17%) were characterized by a pressure minima greater than 9 h prior to the event. These events were associated with relatively weak flow aloft or a large change in the 500-hPa synoptic-scale flow, such as a building ridge. Thus, the relationship between the pressure minimum at Spokane and the lee cyclogenesis in these cases may be ambiguous and would not satisfy our criteria for validating our hypothesis. Twelve events (11%) (labeled as ``falling'' in Fig. 12) were associated with falling pressure that continued beyond departure. These events were often characterized by a large change in the 500-hPa synoptic-scale flow, such as a collapsing large-scale ridge over western North America. Finally, three events (3%) did not have a clear signature in the 3-h pressure change and so were classified as ``other.''
These results suggest that the majority of cyclones that move away from the mountains are associated with mobile pressure-change patterns upstream of the lee slopes. Unfortunately, large-scale pressure rises/falls may mask pressure troughs associated with shortwave-trough passage. Thus, the relative success in following the pressure minimum for the 12-13 December 1988 event is likely attributable to the relatively quiescent large-scale flow evolution (Fig. 8) and the lack of large changes in near-surface air masses over western North America (e.g., Fig. 2). In preparing this climatology, the following additional relationships were apparent. (1) The presence of an arctic high in the lee of the mountains inhibits departure of a lee trough. (2) Lee cyclones in northwesterly 500-mb flow tend to move southeastward along lee slopes, rather than moving eastward. (3) Lee cyclones in strong zonal flow are likely to depart more quickly (tending to occur in the 3-6-h categories in Fig. 12). (4) If the 500-hPa flow aloft is poorly defined (slow-moving cut-off or closed low), movement of surface pressure troughs may not be well-defined. These relationships, therefore, should be considered in adapting this strategy to individual cases.
Finally, to assess the impact of hazardous weather from these events, we employ Storm Data. Although we recognize the inherent limitations of the Storm Data database (e.g., Branick 1997), we note its importance as an expeditious way to assess the potential severity of these events. Eighty-four (76%) of the 111 events were associated with reports of hazardous weather in Washington, Idaho, Montana, Wyoming, or the Dakotas. Branick (1998, personal communication), however, notes that eastern Montana and the Cascades of Washington have a paucity of Storm Data reports relative to surrounding areas. Categorizing these reports by state shows that the overwhelming majority of reports in Storm Data associated with these lee-cyclogenesis events were of strong winds or heavy snow (Fig. 13). Strong winds were reported most frequently in the lee of the Rockies in Montana and Wyoming, whereas heavy snow was reported most frequently in Wyoming and Idaho. Blizzard conditions were reported most frequently in Idaho and the Dakotas. Mixed-precipitation reports generally occurred in the Dakotas and Wyoming. Flooding, heavy rains, and convective phenomena were typically reported in Washington and Idaho. This climatology, however, does not take into account reports from Canada (e.g., British Columbia, Alberta) or farther east and south in the United States.
These traveling pressure minima are similar to the ``moving pressure waves'' described by Hess and Wagner (1948). This article extends their work by showing the utility of this feature to a case of Rocky Mountain lee cyclogenesis and demonstrating that the reason for the migratory pressure trough is the forcing from the upper-level vorticity maximum responsible for lee cyclogenesis. Bandpass-filtered pressure fields provide support for results from idealized-modeling studies that show the baroclinic wave moving eastward through the complex topography. Pressure-change maps and bandpass-filtered fields can be easily computed in the modernized weather service forecast offices. Such diagnostic tools can help forecasters evaluate the validity of numerical forecasts of lee cyclogenesis.
Also, in accord with Hess and Wagner (1948), the mobile pressure trough over western North America does not resemble a front, but a nonfrontal trough (Sanders 1999a). Analysts should consider carefully whether a front should be associated with each landfalling cyclone and whether the in-grained habit of frontal continuity in time (e.g., Sanders and Doswell 1995, 507) should apply, particularly for western North American weather systems (see also, Williams 1972). Once lee cyclones move onto the central Plains, they may develop new fronts or affix preexisting baroclinic zones already present in central North America, developing structures similar to those documented by Hobbs et al. (1990, 1996), Keshishian et al. (1994), and Steenburgh and Mass (1994).
Finally, we suggest that this methodology of tracking pressure minima can be useful for tracking the forcing aloft in other regions of complex terrain besides southern Alberta. Another maximum in cyclogenesis occurs in the lee of the Colorado Rockies (see cyclogenesis references in section 1). The typical path of the forcing aloft comes across the intermountain region and southwest United States (e.g., Hovanec and Horn 1975; Achtor and Horn 1986), regions of complex terrain. Also, cyclogenesis occurs in the lee of the Alps. Data from the Mesoscale Alpine Programme (http://www.map2.ethz.ch/) could be used to test this methodology. Given the emphasis on future United States Weather Research Program (USWRP) efforts to understand the interaction of weather systems with coastal and inland topography (Rotunno et al. 1996; Smith et al. 1997), this methodology may prove to possess considerable generality.
Acknowledgments. We are deeply indebted to the following individuals for their contributions to this work: Jim Steenburgh and David Stensrud for their assistance using MM5, Charlie Crisp for alerting us to the existence of Waters (1970), Katherine Day (NOAA Library, Boulder, Colorado) for performing an extensive literature search, Fedor Mesinger and Jamie Kousky for forwarding references on verification of the Eta model, Fernando Caracena for providing the cowbell-filter code, and John Brown, Roger Edwards, Eric Hoffman, and Keith Meier for their insights into western United States weather-analysis issues. Charlie Crisp, Robert Maddox, Tom Matejka, Fred Sanders, Brad Smull, Jim Steenburgh, Steve Weiss, and an anonymous reviewer provided valuable comments on earlier versions of this manuscript.
We are grateful to the Data Support Section of the Scientific Computing Division of NCAR and the National Climatic Data Center for data used in this study, the Storm Prediction Center for access to their archives of NMC maps on microfilm, and the Mesoscale and Microscale Meteorology Division of NCAR for their support of MM5. Much of this research was conducted while the first author was a National Research Council Postdoctoral Research Associate at the National Severe Storm Laboratory.
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Figure 1: Reports from Storm Data (1988) for 13-14 December 1988 for Washington, Idaho, Montana, Wyoming, North Dakota, and South Dakota. All reports are from 13 December, unless specified by ``14'' following the time of the report. ``Gnn'' represents the location of a wind-gust report of nn m s-1. ZR=freezing rain; IP=ice pellets (sleet).
Figure 3: One-hour observed sea-level pressure changes (every 1 hPa h-1): grey (black) lines represent negative (positive and zero) isallobars or pressure falls (rises). Numbers in italics represent local maxima and minima. Dots represent typical locations of available stations. (a) Pressure change between 2300 UTC 12 December 1988 and 0000 UTC 13 December 1988; (b) Pressure change between 0500 UTC 13 December 1988 and 0600 UTC 13 December 1988; (c) Pressure change between 1000 UTC 13 December 1988 and 1100 UTC 13 December 1988; (d) Pressure change between 1100 UTC 13 December 1988 and 1200 UTC 13 December 1988.
Figure 4: (a) Time series of altimeter setting (hPa) from selected surface stations, showing pressure trough moving over western North America from 1200 UTC 12 December 1988 to 0000 UTC 14 December 1988. Crosses represent typical locations of available stations. UIL=Quillayute, Washington; YYF=Penticton, British Columbia; GEG=Spokane, Washington; YQL=Lethbridge, Alberta; FCA=Kalispell, Montana; GTF=Great Falls, Montana.
(b) Isochrones (hour UTC on 13 December 1988) of pressure trough moving over western North America. Crosses represent typical locations of available stations; numbers represent hour UTC on 13 December 1988 (except 23, which represents 2300 UTC 12 December) of time of minimum altimeter setting; ``n'' represents inadequate data at station to determine time of pressure minimum to within one-hour precision.

Figure 5: (a) Response functions for lowpass and bandpass spatial filters. (b) Response functions for lowpass and bandpass temporal filters.

Figure 6: Bandpass-filtered observed sea-level pressure (every 0.5 hPa h-1): dashed (solid) lines represent negative (positive and zero) bandpass-filtered pressure falls (rises). (a) 0000 UTC 13 December 1988; (b) 0300 UTC 13 December 1988; (c) 0600 UTC 13 December 1988; (d) 0900 UTC 13 December 1988; (e) 1100 UTC 13 December 1988; (f) 1200 UTC 13 December 1988.

Figure 7: Time series of surface parameters from 1200 UTC 12 December 1988 to 0000 UTC 14 December 1988. Top: temperature (°C; triangles) and dewpoint temperature (°C; squares); observed weather: R=rain, F=fog, W=showers, S=snow, IP=ice pellets, +=heavy, -=light. Bottom: sea level pressure (hPa) and horizontal wind (pennant, full barb, and half barb denote 25, 5, 2.5 m s-1, respectively). See Fig. 4 for station locations. (a) Quillayute, Washington (UIL); (b) Penticton, British Columbia (YYF); (c) Spokane, Washington (GEG); (d) Lethbridge, Alberta (YQL); (e) Kalispell, Montana (FCA); (f) Great Falls, Montana (GTF).

Figure 8: Simulated sea level pressure from MM5 domain with 90-km horizontal grid-spacing: 500-hPa geopotential height (solid lines every 6 dam), sea level pressure (dashed lines every 2 hPa), and absolute vorticity of total 500-hPa wind (10-5 s-1, shaded according to scale): (a) 0000 UTC 13 December 1988; (b) 0600 UTC 13 December 1988; (c) 1200 UTC 13 December 1988.

Figure 9: Forcing for quasigeostrophic (QG) height tendency at 0000 UTC 13 December 1988 from MM5 domain with 90-km horizontal grid-spacing; forcing for height falls (rises) are solid (dashed): (a) 500-hPa forcing for QG height-tendency from vorticity-advection term (10-14 s-3); (b) 500-hPa forcing for QG height-tendency from differential-thermal-advection term (10-14 s-3); (c) 500-hPa total forcing for QG height-tendency (10-14 s-3); location of cross section in (d) shown by thick solid line; (d) vertical cross section along 50°N from 135° to 105°W of total forcing for QG height-tendency (10-14 s-3) and potential temperature (K, thin solid lines). Uncontoured values below 850 hPa over the Pacific Ocean in (d) are attributed to a near-neutral layer (i.e., the static stability s is small, pushing the validity of QG theory).

Figure 10: As in Fig. 9 except for 0600 UTC 13 December 1988.

Figure 11: As in Fig. 9 except for 1200 UTC 13 December 1988.
Figure 12: Distribution of the time in hours between the observed pressure minimum at Spokane, Washington (GEG) and lee-cyclone movement away from the mountains for 111 southern-Alberta lee-cyclogenesis events. Times determined from 3-h NMC surface analyses. ``Falling'' represents a time series of pressure at Spokane that does not reach a minimum because it falls monotonically. ``Other'' represents a time series of pressure that is difficult to classify as a pressure minimum or ``falling''.
Figure 13: Number of lee cyclones with Storm Data reports by state. ID=Idaho; MT=Montana; ND=North Dakota; SD=South Dakota; WA=Washington; WY=Wyoming. ``BL-DR SNOW'' represents blowing and drifting snow; ``MIXED PRECIPITATION'' represents sleet and/or freezing rain; ``R+'' represents heavy rain; ``LTNG/HAIL/TSTM WIND'' represents lightning, hail, and/or thunderstorm wind. Numbers along right side of plot indicate the number of unique storms in each category (i.e., a single storm could have strong winds reported in two or more states).
1 Animation of the 13-h sequence of bandpass-filtered sea level pressure from 13/00 to 13/12 can be found at http://www.nssl.noaa.gov/ ~ schultz/schultzanddoswell.shtml.
2 Initial simulations without four-dimensional data assimilation were performed, but were not successful. Departure in these initial simulations occurred 6 h later than that observed. Steenburgh and Mass (1994) also had difficulties with their MM4 (the hydrostatic predecessor to MM5) simulation of a different southern-Alberta lee-cyclogenesis event. Because their initial model simulation (MTS) deviated from reality, a second simulation (PLAINS) was performed to capture the remainder of the event, after departure had occurred (J. Steenburgh 1998, personal communication). These two situations are further evidence that numerical-model simulations of lee cyclogenesis can be problematic, whether it be from initial-condition uncertainties, inadequate model resolution, or improper model physics (see section 1).
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