1. Introduction
a. Motivation
The St. Lawrence River valley (SLRV) is an important orographic feature in eastern Canada that has been previously shown to have impacts on the observed weather in communities located along the valley (e.g., Roebber and Gyakum 2003; Razy et al. 2012). One pertinent example was the 1998 Ice Storm that resulted in substantial damage in the SLRV [$3 billion U.S. dollars in damage; NCDC (2010)]. Roebber and Gyakum (2003) found that during the 1998 ice storm, the orography of the SLRV contributed substantially to higher amounts of precipitation (hereafter enhanced precipitation) within the SLRV through ageostrophic frontogenesis.
The SLRV is oriented southwest to northeast, from the eastern end of Lake Ontario to the Gulf of St. Lawrence (Fig. 1a; Google Maps 2011). Two major Canadian cities (Montreal and Quebec City) are located within the SLRV, which is home to the majority of the population in the province of Quebec. Several mountain chains surround the SLRV: the Laurentian Mountains to the north, and the Adirondack, Green, and White Mountains to the south (Figs. 1a,b). All four mountain chains (the Adirondacks, in particular) have individual peaks above 800 m (Fig. 1b) (Amante and Eakins 2009). Montreal, Quebec (CYUL), is located at the confluence of three river valleys: the SLRV, which runs directly through CYUL, the Ottawa River valley to the west, and the Lake Champlain valley to the south (Fig. 1b), all of which can impact surface wind regimes (Carrera et al. 2009; Razy et al. 2012). The width of the SLRV varies over its length, ranging from as narrow as 3 km in some locations to 90 km around CYUL. The average width of the SLRV is approximately 50 km (Carrera et al. 2009; Razy et al. 2012).
Earlier work has demonstrated a climatological northeast–southwest bimodality in observed winds at various locations throughout the SLRV that correspond to the orientation of the valley (Powe 1969; Cohn et al. 1996; Slonosky 2003; Carrera et al. 2009; Razy et al. 2012) and can subsequently have an impact on the observed weather within the SLRV (Roebber and Gyakum 2003; Razy et al. 2012). The bimodality is related to certain types of forcing mechanisms (sometimes referred to as wind channeling) within the valley (Carrera et al. 2009; Razy et al. 2012). There are four forcing mechanisms for valley winds (Whiteman and Doran 1993): thermal forcing, downward momentum transport, forced channeling, and pressure-driven channeling. For a more complete conceptual overview of the various forcing mechanisms for valley winds, we suggest Whiteman and Doran (1993), Kossmann and Sturman (2003), Carrera et al. (2009), and Razy et al. (2012).
We primarily focus on pressure-driven wind channeling, in which the wind, owing to the synoptic-scale pressure gradient from one end of the valley to the other, blows along the axis of the valley toward lower pressure regardless of the direction of the geostrophic wind (Gross and Wippermann 1987; Carrera et al. 2009; Razy et al. 2012). Previous research has shown that pressure-driven channeling is often the dominant channeling mechanism in wide and shallow valleys such as the SLRV and the Rhine valley in Germany (Whiteman and Doran 1993; Bergstrom and Juuso 2006; Carrera et al. 2009; Razy et al. 2012). Weber and Kaufmann (1998) and Razy et al. (2012) suggested that the dominance of pressure-driven channeling in broad and shallow valleys is likely due to the fact that wide valleys tend to be long valleys, thus facilitating the establishment of a synoptic-scale pressure gradient.
Several studies (Roebber and Gyakum 2003; Razy et al. 2012; Ressler et al. 2012) have noted that orographic effects combined with synoptic-scale forcing for ascent can lead to enhanced and/or prolonged precipitation events within the SLRV. Roebber and Gyakum (2003) showed that with lower pressure located at the southwestern end of the SLRV, northeasterly pressure-driven channeling along the long axis of the SLRV (Fig. 2, red line), in combination with south-southeasterly geostrophic winds, produced ageostrophic frontogenesis in the SLRV during the 1998 Ice Storm. The ageostrophic frontogenesis acted as a mesoscale ascent-focusing mechanism that contributed to large freezing-rain accumulations (Roebber and Gyakum 2003).
Figures 2a,b show a representative case from a composite study of 20 cold-season cyclones tracking through the SLRV from 1979 to 2002, which revealed valley-induced frontogenesis in the SLRV (Razy 2010). In Fig. 2a, a cyclone is located to the west of the SLRV, with a pressure gradient oriented northeast–southwest along the SLRV. The near-surface (30 m) winds are northeasterly within the SLRV, but generally southeasterly outside the SLRV (Fig. 2b). These winds result in a tightening of the potential temperature gradient in the SLRV (Fig. 2b) and are, thus, conducive to ageostrophic frontogenesis (Figs. 2a,b).
b. Transitioning tropical cyclones
Hart and Evans (2001) found that 50% of landfalling tropical cyclones in the North Atlantic basin have undergone extratropical transition (ET) at some point in their life cycle. Many of these storms bring heavy rain and high winds to areas in eastern North America (Hart and Evans 2001; Jones et al. 2003).
Most early literature on ET focused on case studies that brought about major flooding in the eastern United States and Canada, such as Hurricane Hazel in 1954 (Palmén 1958; Matano 1958; Weese 2003) and Tropical Storm Agnes in 1972 (Carr and Bosart 1978; DiMego and Bosart 1982a,b; Bosart and Dean 1991). For a broad overview of the many issues regarding ET dynamics, we suggest the summary article of Jones et al. (2003) and the introduction section of Milrad et al. (2009).
Studies regarding the impacts of ET on Canada are relatively sparse, although several case studies examined the ET dynamics of Hurricanes Danielle (1998) and Earl (1998) (McTaggart-Cowan et al. 2003, 2004; Ma et al. 2003), Hurricane Michael (2000) (Fogarty 2002; Abraham et al. 2002), and Juan (2003) (McTaggart-Cowan et al. 2006a,b). Milrad et al. (2009) assembled a climatology of transitioning storms that specifically impacted Canada, identifying 40 cases from 1979 to 2005.
Atallah and Bosart (2003) and Atallah et al. (2007) found that storms that had undergone or were undergoing ET (and had thus interacted with an upstream midlatitude trough) exhibited left-of-track precipitation distributions, while storms that did not undergo ET had precipitation distributions to the right of track. Milrad et al. (2009) came to similar conclusions for eastern Canada. Whether the majority of precipitation occurs left or right of track has important forecasting implications, as evidenced during the transition of Hurricane Floyd (Atallah and Bosart 2003; Colle 2003). Moreover, various case studies have shown that precipitation associated with ET or the remnants of tropical cyclones can result in extreme precipitation events in eastern North America (DiMego and Bosart 1982a,b; Bosart and Lackmann 1995; Atallah and Bosart 2003; Atallah et al. 2007; Milrad et al. 2009). Occasionally, extreme precipitation events can still occur when the transitioning storm is not very intense, as was the case with the remnants of Hurricanes Camille (1969) and David (1979) (Chien and Smith 1977; Bosart and Lackmann 1995; Atallah et al. 2007). Many of the cases examined by Milrad et al. (2009) were associated with heavy precipitation events in Canada, particularly those with left-of-track precipitation signatures.
One mesoscale mechanism that has been found to result in locally enhanced precipitation is frontogenesis. Bosart et al. (1972) and Bosart (1975) showed that coastal frontogenesis along the New England coast is often associated with enhanced precipitation during cool-season cyclones. Novak et al. (2004, 2006) showed that strong deep-layer frontogenesis and weak static stability were important factors in the formations of heavy mesoscale precipitation bands within cold-season northeastern U.S. cyclones. Milrad et al. (2010) showed that frontogenesis was a main mechanism for ascent in a subset of extreme precipitation events at St. John’s, Newfoundland. However, very little documentation exists in the literature regarding the impact of frontogenesis on precipitation associated with transitioning tropical cyclones.
In 2008, the cyclone resulting from the extratropical transition of Hurricane Ike (2008) tracked near the SLRV, depositing large amounts of precipitation (Canadian Hurricane Centre 2008) over the length of the valley (Fig. 3a). From 0600 to 1200 UTC 15 September, the heaviest precipitation was located to the south of Ike’s path (Fig. 3a), or right of center (Atallah et al. 2007; Milrad et al. 2009). However, at later times in the northeastern SLRV, the heaviest precipitation was located to the north of Ike’s track, or left of center (Fig. 3a). Given that the storm (according to the National Hurricane Center’s best-track dataset) had become extratropical well before 0600 UTC 15 September, one would typically expect the heaviest precipitation to be left of center (Atallah et al. 2007; Milrad et al. 2009). However, the heaviest precipitation amounts lined up nearly perfectly with the axis of the SLRV, regardless of whether the heaviest precipitation was located to the north or south of Ike’s circulation center (Fig. 3a). This is suggestive of an association between the SLRV itself (and its orography) and the location of heaviest precipitation.
Although objective indicators of ET have been identified (e.g., Evans and Hart 2003) and are used operationally, we do not consider whether a storm has officially been declared extratropical, similar to the methodology of Milrad et al. (2009). For reference, most (29 of 38) cases that affected the SLRV in this study officially underwent ET.
c. Objectives
The primary objectives of this paper are to
compile a climatology of transitioning tropical cyclones that affected the SLRV from 1979 to 2011;
identify cases that were associated with (a) near-surface ageostrophic frontogenesis oriented parallel to the long axis of the SLRV and (b) northeasterly (channeled) surface winds that strongly deviate from the geostrophic wind direction;
contrast the dynamics of cases with near-surface ageostrophic frontogenesis to those of null cases;
evaluate the association between near-surface ageostrophic frontogenesis and precipitation distributions in the vicinity of the SLRV; and
identify a physical pathway through which valley-induced ageostrophic frontogenesis can result in enhanced precipitation in the SLRV.
Section 2 of this paper details the data used in the study. Section 3 gives an overview of the case selection and partitioning. Section 4 presents the results of a synoptic–dynamic analysis of our cases, including an examination of the soundings. Finally, section 5 presents our conclusions as well as avenues for future work.
2. Data
Cases were chosen using the National Hurricane Center (NHC) best-track dataset (online at http://www.nhc.noaa.gov/pastall.shtml), and are viewed using the National Oceanic and Atmospheric Administration (NOAA) Coastal Services Center historical hurricane tracks plotter (online at http://www.csc.noaa.gov/hurricanes/). For the synoptic–dynamic analysis, we utilized the National Centers for Environmental Prediction (NCEP) North American Regional Reanalysis (NARR) dataset (Mesinger et al. 2006), which has 32-km horizontal resolution, 45 vertical layers, and 3-hourly output. The NARR has been shown to be sufficient at identifying many synoptic and mesoscale features and processes (e.g., Mesinger et al. 2006), including wind channeling in the SLRV (Carrera et al. 2009; Razy et al. 2012).
The main limitation of the NARR is the inaccuracy of the precipitation field over Canada, in which precipitation often appears to “stop” at the U.S.–Canada border (Bukovsky and Karoly 2007; West et al. 2007; Becker et al. 2009; Milrad et al. 2009). We partially compensate for this by focusing on the precipitation for a subset of cases from 2003 to 2011, for which we have gridded precipitation data from the 6-hourly Canadian Precipitation Analysis (CaPA) dataset (Mahfouf et al. 2007). The CaPA dataset has a horizontal resolution of 15 km, and is based on the assimilation of rain gauge observations, radar data, and short-range precipitation forecasts from the Canadian Meteorological Centre’s regional model. The CaPA data match up well with archived precipitation data from stations along the SLRV (not shown).
The NARR and CaPA diagnostics were produced using the General Meteorology Package (GEMPAK), version 6.2.0, which is updated from the original package devised by Koch et al. (1983).
3. Case selection and methods used
a. Case selection
Using NHC best-track data, we identify 38 cases of tropical cyclones from 1979 to 2011. We stipulated that these storms had to track within 500 km of anywhere in the SLRV (Fig. 3b) at some point. Figure 3b shows the tracks of all 38 cases, with the red parallelogram marking the area through which a storm was required to track in order to be included in this study (500 km from the SLRV in any direction). The study area encompasses much of eastern Canada, with the exception of southeastern Newfoundland, as well as parts of the northeastern and Great Lakes regions of the United States.
Figure 3b shows that the majority of the 38 cases tracked to the east or southeast of the SLRV, while only a few circulation centers actually moved through the SLRV. Figure 3b also shows that most of the cases had already undergone ET by the time they came within 500 km of the SLRV. A few notable cases that remained classified as tropical systems while impacting the SLRV (Fig. 3b) were Gloria (1985), Floyd (1999) (Atallah and Bosart 2003; Colle 2003), and Juan (2003) (McTaggart-Cowan et al. 2006a,b).
b. Case partitioning
Group A cases (n = 19). The subset of 10 cases where CaPA data were available (2003–11) are in boldface and are shown in Fig. 4. The locations and times listed are those of the observed maximum ageostrophic frontogenesis in the SLRV (t = 0 h).
Group B cases (n = 5), as shown in Fig. 5. The t = 0 h is defined as the time of closest approach to the SLRV.
Group C cases (n = 14); cases not selected for further analysis. Listed are t = 0 h and the reason each case did not meet the criteria for further study, as described in section 3b.
While not all ageostrophic frontogenesis is due to the orography of the SLRV, we can likely attribute some of it if it is oriented parallel to the long axis of the valley. To test whether the NARR is correctly identifying ageostrophic frontogenesis in the SLRV due to its high resolution being able to correctly discern the orography of the valley, all of the cases in this study were also examined using the NCEP Climate Forecast System Reanalysis (CFSR; Saha et al. 2010). The CFSR has a coarser horizontal resolution than the NARR (0.5° latitude versus 32 km). We found that the ageostrophic frontogenesis in the SLRV for the cases shown in Fig. 4 was generally not present in the CFSR (see Supplement 1 to this paper online at http://dx.doi.org/10.1175/WAF-D-12-00071.s1). This finding is not limited to the derived ageostrophic frontogenesis field; the near-surface wind and potential temperature structures are also quite different between the two reanalyses (see Supplement 1).
Roebber and Gyakum (2003) and Razy et al. (2012) demonstrated that modulation of observed weather and precipitation within the SLRV occur primarily when ageostrophic frontogenesis occurs in concert with channeled northeasterly surface winds blowing toward lower pressure. As such, we only consider the impacts on precipitation distribution in cases where the ageostrophic frontogenesis is collocated with northeasterly surface winds. Synoptic-scale forcing for ascent is usually present in these regions (with the low pressure system located to the south or west) and the ageostrophic frontogenesis acts as a mesoscale ascent-focusing mechanism in the SLRV (Roebber and Gyakum 2003; Razy et al. 2012).
The complete partitioning methodology and results are as follow.
Group A (active cases, n = 19) includes cases (Table 1) that meet the following five criteria:
The ageostrophic frontogenesis at t = 0 h exceeds 150 × 10−2 K (100 km)−1 (3 h)−1 and is oriented parallel to the long axis of the SLRV.
The center of the (former) tropical cyclone is discernible in the NARR SLP field.
The 30-m NARR total wind is northeasterly (channeled down the valley) in the region of ageostrophic frontogenesis.
At t = 0 h, there must be an along-valley pressure gradient with lower pressure to the west.
At t = 0 h, the wind direction difference between the 30-m wind and the geostrophic wind in the SLRV must be more than 20°.
Group B (null cases, n = 5) includes cases (Table 2) in which the ageostrophic frontogenesis threshold criterion [>150 × 10−2 K (100 km)−1 (3 h)−1] was not met at t = 0 h.
Group C (cases not selected for further analysis, n = 14) includes cases that were left out of group A for one of the following three reasons (Table 3):
the center of circulation of the (former) tropical cyclone in the NARR was undetectable (n = 4); if the SLP field is unreliable, the ageostrophic wind calculations likely will be as well;
northeasterly 30-m winds were not found in the region of ageostrophic frontogenesis (n = 6); this suggests that the ageostrophic frontogenesis was due to processes unrelated to wind channeling and, thus, unrelated to the orography (Roebber and Gyakum 2003; Carrera et al. 2009; Razy et al. 2012); or
the ageostrophic frontogenesis at t = 0 h was judged (albeit subjectively) to be due to synoptic-scale systems in northern Quebec, and was not attributed to the (former) tropical cyclone (n = 4). The goal of this study is to isolate the impacts of SLRV orography on precipitation associated with the transitioning tropical cyclone, not other synoptic-scale systems.
The last two criteria in group A are established to separate cases of pressure-driven channeling from forced channeling and downward momentum transport, in which the geostrophic wind direction and channeled wind direction are similar (Carrera et al. 2009; Razy et al. 2012). These processes will be discussed further in section 4a.
The remainder of this paper will explore the contrast in dynamics between groups A and B, as well as focus on the impact of group A cases on precipitation in the SLRV. The dynamics of group C cases are available for viewing in the online supplement to this paper (Supplement 2).
4. Synoptic–dynamic analysis
a. Frontogenesis
Figure 4 shows a sample of the 19 group A cases. We chose the group A cases from 2003 to 2011, since that is the time period for which we have precipitation (CaPA) data. The group A cases not shown (1979–2002) can be viewed online (see Supplement 2). The location of ageostrophic frontogenesis for each group A case is marked in Table 1. The ageostrophic frontogenesis at t = 0 h occurs in two different areas of the SLRV. For example, in the case of Frances (2004), the ageostrophic frontogenesis is located in the southwestern SLRV, from CYUL southwestward toward Lake Ontario (Fig. 4). In contrast, during the approach of Barry (2007), the ageostrophic frontogenesis is located in the northeastern SLRV, northeast of Quebec City (CYQB) (Fig. 4). In cases where more than one area of ageostrophic frontogenesis is present, the area listed in Table 1 is that which is closest to the storm center. These areas were chosen because they were the most likely to be collocated with precipitation, given that enhanced precipitation is the focus of this study. Within group A (n = 19), there are 15 cases in which the ageostrophic frontogenesis is located in the northeastern SLRV, and 4 cases in the southwestern SLRV (Table 1).
Figure 5 shows the group B (n = 5) null cases. None of the group B cases track directly through the SLRV, in contrast to several group A cases (Figs. 4 and 5). Moreover, Fig. 5 shows that the pressure gradients within the SLRV are generally weak, with the isobars parallel to the long axis of the SLRV (e.g., Floyd 1999).
In Fig. 6, two cases from groups A and B are presented to examine the 30-m wind and potential temperature fields used to calculate the ageostrophic frontogenesis, as the latter is a highly derived field. In the cases of Juan (2003) and Frances (2004) (Figs. 6a,b), northeasterly 30-m winds within the SLRV are collocated with areas of ageostrophic frontogenesis (regions marked by purple ovals). Furthermore, the 30-m wind directions outside the SLRV are quite different than the northeasterlies within the SLRV. For Juan (2003), Fig. 6a shows that the 30-m winds are almost entirely southeasterly outside of the SLRV. For Frances (2004), Fig. 6b shows that the 30-m winds south of the SLRV are southeasterly, while winds to the north of the Ottawa River valley and SLRV are easterly or east-northeasterly. The spatial change in wind direction sets the stage for the ageostrophic frontogenesis located within the SLRV.
In contrast, Figs. 6c,d show the 30-m wind and potential temperature for two group B cases. During both Josephine (1996) and Floyd (1999) (Figs. 6c,d), the 30-m winds within the SLRV are almost entirely northeasterly. In addition, the wind directions in the adjacent regions outside the valley are also northeasterly (Figs. 6c,d). These wind directions correspond to the geostrophic wind directions in these cases (Fig. 5). Thus, it is likely that downward momentum transport or forced channeling (Razy et al. 2012) is occurring in the SLRV in group B cases. However, the definitions of forced channeling and downward momentum transport require that the channeled wind direction be similar to the geostrophic wind direction, meaning that the surface wind directions in and outside of the SLRV will be very similar. This setup is not favorable to ageostrophic frontogenesis (Figs. 6c,d). Similar structures are evident in the remainder of the group A and B cases (see Supplement 3). As such, we consider group A cases to be primarily associated with pressure-driven channeling (Carrera et al. 2009; Razy et al. 2012).
In group A cases, there is implied strong cold potential temperature advection in the region of northeasterly 30-m winds and ageostrophic frontogenesis (Figs. 6a,b), as evidenced by the strong buckling (analogous to, e.g., a thickness trough) of potential temperature contours in the SLRV. Meanwhile, much weaker or no cold advection is implied in group B cases (Figs. 6c,d, respectively). Similar results are seen in other group A and B cases, respectively (see Supplement 3). The stronger buckling of the potential temperature contours in the region of northeasterly winds (Figs. 6a,b) in group A cases further supports our assertion of pressure-driven wind channeling, as colder surface air from northeastern Quebec is advected toward the southwest along the axis of the SLRV. This finding has implications for static stability, which is discussed in section 4c.
Figure 7 shows that 18 of 19 group A cases have pressure gradients larger than 0.4 hPa (100 km)−1, while the same can be said for only 1 of 5 cases in group B. Moreover, eight cases in group A (e.g., Frances in 2004) are associated with pressure gradients exceeding 1 hPa (100 km)−1 (Fig. 7). These findings are highly suggestive of pressure-driven channeling.
Figures 8a and 8b present composite analyses for groups A and B, respectively. Since 4 of 19 group A cases had ageostrophic frontogenesis located in the southwestern SLRV (Table 1), we aim to limit composite smearing by only compositing the 15 group A cases with ageostrophic frontogenesis in the northeastern SLRV (Table 1). Figure 8a shows that the only northeasterly 30-m NARR winds found in Fig. 8a are within the SLRV and are collocated with the ageostrophic frontogenesis. The 30-m winds to the north and south of the SLRV are primarily from the southeast. Moreover, the surface cold-air advection signature observed in individual cases (Figs. 6a,b) is also present in the composite (Fig. 8a). This finding has important ramifications for the low-level static stability in developing a near-surface temperature inversion, discussed further in section 4c.
Figure 8b shows that in the group B (null case) composite, 30-m winds are generally in the same direction (northeasterly) both within and outside of the SLRV, suggesting forced channeling or downward momentum transport. This setup is not conducive to ageostrophic frontogenesis, since the winds are largely from the same direction (nearly geostrophic) both within and outside of the SLRV. In addition, the northeasterly winds located in the northeastern SLRV (Fig. 8b) are weaker than those in the group A composite (Fig. 8a), perhaps explaining the relative lack of surface cold-air advection in group B cases.
Finally, structures in the northeastern SLRV (Figs. 6a and 8a,b) are also consistent with coastal frontogenesis (Bosart et al. 1972; Bosart 1975). The climatological SSTs in the northeastern SLRV during the Atlantic tropical season range from 284 to 289 K (available online at the St. Lawrence Global Observatory; http://www.slgo.ca). Figure 8a shows that the composite 30-m potential temperatures correspond to these values. Since we assume the land surface temperatures to the south to be warmer, it is logical to think that the land–SST difference is a contributor to the magnitude of the temperature gradient and, thus, the ageostrophic frontogenesis (Fig. 8a). In group B cases (Figs. 6c,d and 8), the composite 30-m potential temperatures in the northeastern SLRV also agree with the climatological SSTs, but the potential temperatures over land are lower than in group A (Figs. 6a and 8a), reducing the land–sea temperature contrast and thus the coastal frontogenesis contribution.
b. Precipitation
To analyze the precipitation distributions in the SLRV, we focus on 10 group A cases from 2003 to 2011, in accordance with the availability of the CaPA (Mahfouf et al. 2007). Figure 9 displays two-panel figures of all 10 cases, in order to compare the orientation of the precipitation to that of the valley-induced ageostrophic frontogenesis. In Fig. 9, the left-hand panels show the total ageostrophic frontogenesis for the 6-h period surrounding t = 0 h (i.e., from t = −3 h to t = +3 h). The right-hand panels in Fig. 9 show the CaPA precipitation totals for the 12-h period surrounding t = 0 h (Table 4). Using values summed over several time periods avoids problems caused by trying to compare instantaneous values of ageostrophic frontogenesis at t = 0 h with 6-h precipitation totals. Although the greatest ageostrophic frontogenesis in a particular case occurs at t = 0 h, ageostrophic frontogenesis is still present at neighboring times. Since precipitation accumulation is not an instantaneous field, the ageostrophic frontogenesis at neighboring times can still have an impact on precipitation amounts. As an example, during the passage of Ike (2008), t = 0 h is 0600 UTC 15 September, so the CaPA-accumulated precipitation shown in Fig. 9 is from 0000 to 1200 UTC 15 September (Table 4).
The 10 group A cases from 2003 to 2011, t = 0, and the 12-h precipitation periods used for the right-hand panels in Fig. 9.
Figure 9 shows qualitative evidence that in group A cases from 2003 to 2011, areas of enhanced precipitation are collocated with areas of ageostrophic frontogenesis, and both are oriented parallel to either the SLRV or the Ottawa River valley (a westward extension of the SLRV; Fig. 1b). For example, during the approaches of Frances (2004) and Ike (2008), an axis of heavy precipitation is oriented parallel to the SLRV from the eastern end of Lake Ontario to CYUL (Fig. 9). The axis of heaviest precipitation is collocated with the ageostrophic frontogenesis, and both are oriented parallel to the long axis of the SLRV (Fig. 9). For Arlene (2005), both the ageostrophic frontogenesis and the axis of heaviest precipitation are located in the Ottawa River valley west of CYUL (Fig. 9), a region that is also prone to pressure-driven wind channeling (Carrera et al. 2009; Razy et al. 2012).
For the sake of comparison, the online supplement to this paper (see Supplement 5) shows plots as in Fig. 9 for one group B (Hanna 2008) and one group C (Hermine 2004) case for which CaPA data were available. Unlike in group A cases (Fig. 9), there is no enhancement of precipitation in the SLRV evident in Hanna (2008) or Hermine (2004). This is supportive of the observed collocation of ageostrophic frontogenesis and enhanced precipitation. The association between ageostrophic frontogenesis and enhanced precipitation is analyzed physically and discussed further in section 4c.
Figure 10 shows a composite of CaPA precipitation for the 10 cases in Fig. 9, along with the location of the center of each transitioning cyclone in the composite. At t = −12 h (Fig. 10a), most of the composite precipitation is located in New York and New England, and is not yet in the SLRV. By t = −6 h (Fig. 10b), two areas of enhanced precipitation are evident in the SLRV: 1) the region between Lake Ontario and CYUL and 2) the region northeast of CYQB. This observation corresponds to the fact that 3 of the 10 cases in the composite have ageostrophic frontogenesis in the southwestern SLRV, while the remaining 7 cases have ageostrophic frontogenesis in the northeastern SLRV. This bifurcation is also evident at t = 0 h (Fig. 10c), where precipitation in the SLRV is enhanced compared to regions north and south of the valley. By t = +6 h (Fig. 10d), the axis of heaviest precipitation is located in the northeastern SLRV.
The precipitation composites from t = −6 h to +6 h (Figs. 10b,d) show enhanced precipitation in the SLRV despite the fact that many of the cyclone centers are located outside of the SLRV. Along with the temperature and wind structures observed in Figs. 6 and 8, and the pressure gradient calculations shown in Fig. 7, this suggests that an approaching cyclone need only help to establish a synoptic-scale pressure gradient in the SLRV to have an impact on the precipitation distribution. The cyclone itself does not actually have to be located within the SLRV, although in some cases it is (Figs. 10b,d).
c. Dynamic mechanisms for ascent and static stability
Because the SLRV is a broad and shallow valley (Carrera et al. 2009; Razy et al. 2012), the valley-induced ageostrophic frontogenesis observed in group A cases (Figs. 4 and 6) is likely a relatively shallow phenomenon. The goal of this section is to suggest a physical pathway between shallow ageostrophic frontogenesis and ascent and precipitation.
For each group A case from 2003 to 2011, Fig. 11 shows 1000–500-hPa layer-averaged Q-vector divergence, sea level pressure, and 1000–500-hPa thickness at t = 0 h. Utilizing Eqs. (4) and (5), we can conclude that areas of geostrophic frontogenesis and Q-vector convergence are associated with areas of synoptic-scale ascent and possible precipitation. We note that the Q-vector divergence field in Fig. 11 was not smoothed any more than the ageostrophic frontogenesis field was in Figs. 4 and 6, retaining the relatively high resolution of the NARR. Figure 11 shows that in several cases (e.g., Barry 2007), Q-vector divergence (associated with descent) is observed near the area of precipitation and ageostrophic frontogenesis (Fig. 9) in the SLRV. In other cases such as Ike (2008) and Frances (2004), Q-vector convergence is present, but is relatively equal in magnitude on either side of the SLRV, suggesting no preferential alignment of the large-scale ascent with the axis of SLRV. We can therefore infer that the enhanced precipitation along the SLRV (Figs. 9 and 10) is focused by lower-tropospheric mesoscale forcing for ascent, not synoptic-scale forcing or 1000–500-hPa geostrophic frontogenesis.
In the left-hand panels in Fig. 9, the black vertical lines indicate areas chosen for cross-section analyses in Fig. 12. The cross sections are oriented from southeast to northwest through the areas of maximum ageostrophic frontogenesis, and perpendicular to the long axis of the SLRV, provided the ageostrophic frontogenesis is collocated with regions of precipitation where precipitation data were available (Fig. 9). The center point of each cross section represents the region of ageostrophic frontogenesis in the SLRV, and is the location of each sounding in Fig. 13.
Figure 12 shows that for all 10 group A cases from 2003 to 2011 there is substantial low-level ageostrophic frontogenesis centered in the SLRV at t = 0 h. The remaining group A cases show similar results (see Supplement 4). In most group A cases (e.g., Ernesto in 2006), low-level ageostrophic frontogenesis is not observed to the north or south of the SLRV, and is relatively shallow, roughly encompassing only the lowest 75–100 hPa of the troposphere. In cases such as Irene (2011) where there is also ageostrophic frontogenesis outside the SLRV (Fig. 12), it is likely that not all of the ageostrophic frontogenesis can be attributed to the channeling within the SLRV (e.g., Rotunno et al. 1994). However, we suggest that channeling plays some role in the ageostrophic frontogenesis in all group A cases. To that end, the depth of the ageostrophic frontogenesis roughly corresponds to the terrain height of the SLRV (Fig. 1). In a couple of cases in Fig. 12 (e.g., Frances in 2004), a region of ageostrophic frontogenesis is present in the midtroposphere, but remains distinct from the low-level ageostrophic frontogenesis. The latter is likely due to pressure-driven wind channeling and the orography of the valley, and the former is not.
The equivalent potential temperature contours plotted in each panel in Fig. 12 are used to evaluate potential instability. There are two cases (Arlene in 2005, Cindy in 2005) that exhibit upright equivalent potential temperature contours and thus low potential stability. However, most cases (e.g., Juan in 2003) are associated with a potentially stable lower troposphere. The group A cases in Fig. 12 were also examined for regions of conditional symmetric (slantwise) instability (CSI, not shown), but all cases were found to be lacking CSI. Thus, we turn our focus to an examination of conditional instability, using the soundings in Fig. 13.
Roebber and Gyakum (2003), Razy et al. (2012), and Ressler et al. (2012) found that northeasterly pressure-driven channeling in the cold season results in cold surface temperatures and strong low-level temperature inversions, which are conducive to freezing rain events in the SLRV. The cold surface temperatures were induced by the channeling of colder surface air from the northeast. The warmer inversion layer was typically located immediately above the surface, and moist neutral profiles were found above the inversion layer (Razy et al. 2012). Figure 13 shows similar results for the transitioning tropical cyclones in group A, despite these events occurring during the warm season. Relatively cold surface temperatures, a lower-tropospheric temperature inversion, and a moist neutral profile above the inversion layer are present in each group A case (Fig. 13). This is consistent with the surface cold potential temperature advection observed in the SLRV (Figs. 6a,b). Even in the case of Arlene (2005), where low-level potential instability is evident in Fig. 12, a temperature inversion remains in place above the potentially unstable layer (Fig. 13). Finally, the near-surface winds (Fig. 13) are primarily northeasterly and distinct from winds above the temperature inversions. This is also similar to what Razy et al. (2012) and Ressler et al. (2012) found during cold-season freezing precipitation events.
There are a couple of exceptions to the observation of temperature inversions within group A (e.g., Cindy in 2005, Fig. 13; Karen in 2001; see Supplement 4). In Cindy (2005), convective instability appears to be present in the region of precipitation (Fig. 12). The region of low-level cold potential temperature advection (and thus the temperature inversion) is located to the northeast of the precipitation. For the 10 group A cases for which we have precipitation data, Cindy (2005) is the only exceptional case.
5. Concluding discussion and future work
The SLRV is a broad and shallow orographic feature in eastern Ontario and Quebec, Canada (Fig. 1), that has been shown previously to impact surface winds, observed weather, and precipitation distributions during the cold season (Roebber and Gyakum 2003; Razy et al. 2012; Ressler et al. 2012). We examine the impacts of the SLRV orography on precipitation distributions, using 38 cases of transitioning tropical cyclones that tracked within 500 km of the SLRV (Fig. 3). We find that in 19 of the 38 cases (group A) there is substantial ageostrophic frontogenesis oriented parallel to the long axis of the SLRV (Fig. 4). This low-level, shallow (75–100 hPa) ageostrophic frontogenesis is associated with pressure-driven wind channeling (Roebber and Gyakum 2003; Razy et al. 2012), in addition to a contribution to the ageostrophic frontogenesis from coastal frontogenesis, for group A cases in the northeastern SLRV near the Gulf of St. Lawrence. In contrast, group B cases (Fig. 5a) show no substantial ageostrophic frontogenesis in the SLRV and may be associated with forced channeling or downward momentum transport, in which the near-surface wind direction is similar to the geostrophic wind direction. Moreover, Figs. 6a,b and 8 suggest that in group A cases there is near-surface cold-air advection down the SLRV from northeast to southwest, resulting in a low-level temperature inversion (Fig. 13). An analysis of the along-SLRV pressure gradient (Fig. 7) shows that group A cases are associated with larger pressure gradients than group B cases, lending credence to the suggestion of pressure-driven wind channeling.
Although the unreliability of NARR precipitation in Canada limits our assessment of precipitation distribution to 10 group A cases from 2003 to 2011 (Figs. 9 and 10), we show that ageostrophic frontogenesis and enhanced precipitation are concomitant and oriented parallel to the SLRV in those cases. A composite analysis of precipitation (Fig. 10) shows that the axis of heaviest precipitation is located within and parallel to the SLRV (Figs. 10b,d), regardless of the location of the center of each cyclone. We acknowledge, however, that Figs. 9 and 10 merely provide circumstantial evidence of the collocation of ageostrophic frontogenesis and enhanced precipitation, and do not conclusively prove that the former is fully responsible for the latter. For example, one can argue that the enhanced precipitation amounts in Ike (2008) line up along a pressure trough–warm front that also happens to be within the SLRV (Fig. 9). Consequently, mesoscale numerical model sensitivity experiments (described below) will be necessary to quantify the impact of the ageostrophic frontogenesis on precipitation amounts.
Figure 11 shows that there is no preference for large-scale ascent and geostrophic frontogenesis to be oriented purely within and parallel to the long axis of the SLRV. This suggests that the ageostrophic frontogenesis serves as a mesoscale ascent-focusing mechanism for enhanced precipitation in the SLRV.
In summary, we suggest the following physical pathway to the modulation of heavy precipitation within the SLRV during group A transitioning tropical cyclone events (an associated schematic of this process is presented in Fig. 14):
A transitioning tropical cyclone approaches the SLRV, and helps to establish a synoptic-scale pressure gradient in the valley, typically pointing from higher pressure to the northeast to lower pressure to the southwest (Fig. 14). The pressure gradient within the SLRV generally exceeds 0.4 hPa (100 km)−1 (Figs. 7, 14). This pressure gradient allows for pressure-driven wind channeling from northeast to southwest, resulting in northeasterly surface winds and low-level cold potential temperature advection along the SLRV (Figs. 6a,b, 8, and 14).
In group A cases, the channeled northeasterly surface winds in the SLRV provide a source of low-level cold air, while surface winds outside of the SLRV are primarily southeasterly (Fig. 14). The ageostrophic frontogenesis in the northeastern SLRV is likely a combination of pressure-driven channeling and coastal frontogenesis driven by the land–SST difference near the Gulf of St. Lawrence (Fig. 8a).
The ageostrophic frontogenesis induced by pressure-driven channeling (Fig. 14) is shallow (lowest 75–100 mb of the troposphere) and is located primarily within the confines of the SLRV.
Soundings (Fig. 13) show surface-based cold air, a large low-level temperature inversion, and moist neutral profiles above the inversion layer. As such, we can conclude that the shallow ageostrophic frontogenesis in the SLRV acts as an ascent mechanism that allows air parcels to rise above the inversion layer, to a layer of conditional instability.
In conclusion, this study serves as an assessment of the physical mechanisms responsible for precipitation modulation in the SLRV during transitioning tropical cyclone events. Pressure gradient threshold values for these events have been presented (Fig. 7). In addition, potential temperature, wind, and stability profiles unique to pressure-driven channeling occurrences during these cases have been examined (Figs. 6, 8, 12, and 13). All such findings may be useful to the local forecaster in helping to predict precipitation distributions in the SLRV during the approach of transitioning tropical cyclones.
While the results here do agree with the numerical modeling results of the cold-season study of Roebber and Gyakum (2003), future mesoscale numerical modeling sensitivity studies of our cases are warranted to further corroborate the findings of this paper. Specifically, the amounts of precipitation enhancement due to the orographic effects must be quantified for group A cases. To accomplish this, two mesoscale model simulations should be conducted [similar to the 1998 Ice Storm experiments of Roebber and Gyakum (2003)]: (a) a finescale simulation that accurately replicates the terrain of the SLRV and (b) a coarse-scale simulation in which the terrain in the SLRV region is entirely flat. Comparisons of precipitation amounts between the two simulations should provide substantial insight into exactly how much the orography of the SLRV (and accompanying pressure-driven channeling) can increase both near-surface ageostrophic frontogenesis and precipitation amounts during transitioning tropical cyclone events.
Acknowledgments
This research has been funded by grants from Ouranos (the regional climate consortium of Quebec), the Natural Sciences and Engineering Research Council of Canada (NSERC), and the Canadian Foundation for Climate and Atmospheric Sciences (CFCAS). Thanks to the National Centers for Environmental Prediction (NCEP) and the National Climatic Data Center (NCDC) for providing access to the NARR, and to Environment Canada and Marco Carrera for providing station precipitation data and access to the Canadian Precipitation Analysis (CaPA), respectively. Finally, thanks to Paul Sisson and John Goff of NWS Burlington, as well as the three anonymous reviewers, for their helpful comments in revising this manuscript.
REFERENCES
Abraham, J., Fogarty C. , and Strapp W. , 2002: Extratropical transition of Hurricanes Michael and Karen: Storm reconnaissance with the Canadian Convair 580 aircraft. Preprints, 25th Conf. on Hurricanes and Tropical Meteorology, San Diego, CA, Amer. Meteor. Soc., 12D.4. [Available online at http://ams.confex.com/ams/pdfpapers/35168.pdf.]
Amante, C., and Eakins B. W. , 2009: ETOPO1 1 arc-minute global relief model: Procedures, data sources and analysis. NOAA Tech. Memo. NESDIS NGDC-24, 9 pp.
Atallah, E. H., and Bosart L. F. , 2003: The extratropical transition and precipitation distribution of Hurricane Floyd (1999). Mon. Wea. Rev., 131, 1063–1081.
Atallah, E. H., Bosart L. F. , and Aiyyer A. , 2007: Precipitation distribution associated with landfalling tropical cyclones over the eastern United States. Mon. Wea. Rev., 135, 2185–2206.
Becker, E. J., Berbery E. H. , and Higgins R. W. , 2009: Understanding the characteristics of daily precipitation over the United States using the North American Regional Reanalysis. J. Climate, 22, 6268–6286.
Bergstrom, H., and Juuso N. , 2006: A study of valley winds using the MIUU mesoscale model. Wind Energy, 9, 109–129.
Bluestein, H. B., 1992: Principles of Kinematics and Dynamics. Vol. 1, Synoptic–Dynamic Meteorology in Midlatitudes, Oxford University Press, 431 pp.
Bluestein, H. B., 1993: Observations and Theory of Weather Systems. Vol. 2, Synoptic–Dynamic Meteorology in Midlatitudes, Oxford University Press, 585 pp.
Bosart, L. F., 1975: New England coastal frontogenesis. Quart. J. Roy. Meteor. Soc., 101, 957–978.
Bosart, L. F., and Dean D. , 1991: The Agnes rainstorm of June 1972: Surface feature evolution culminating in inland storm redevelopment. Wea. Forecasting, 6, 515–536.
Bosart, L. F., and Lackmann G. M. , 1995: Postlandfall tropical cyclone reintensification in a weakly baroclinic environment: A case study of Hurricane David (September 1979). Mon. Wea. Rev., 123, 3268–3291.
Bosart, L. F., Vaudo C. J. , and Helsdon J. H. Jr., 1972: Coastal frontogenesis. J. Appl. Meteor., 11, 1236–1258.
Bukovsky, M. S., and Karoly D. J. , 2007: A brief evaluation of precipitation from the North American Regional Reanalysis. J. Hydrometeor., 8, 837–846.
Canadian Hurricane Centre, cited 2011: Hurricane Ike total precipitation. [Available online at http://www.ec.gc.ca/ouragans-hurricanes/.]
Carr, F. H., and Bosart L. , 1978: A diagnostic evaluation of rainfall predictability for Tropical Storm Agnes, June 1972. Mon. Wea. Rev., 106, 363–374.
Carrera, M. L., Gyakum J. R. , and Lin C. A. , 2009: Observational study of wind channeling within the St. Lawrence River valley. J. Appl. Meteor. Climatol., 48, 2341–2361.
Chien, H. H., and Smith P. J. , 1977: Synoptic and kinetic energy analysis of Hurricane Camille (1969) during transit across the southeastern United States. Mon. Wea. Rev., 105, 67–77.
Cohn, S. A., Gyakum J. R. , Rogers R. R. , Ecklund W. L. , Carter D. A. , and Wilson J. S. , 1996: Wind profiler/RASS observations of two complex synoptic events. Beitr. Phys. Atmos., 69, 37–47.
Colle, B., 2003: Numerical simulations of the extratropical transition of Floyd (1999): Structural evolution and responsible mechanisms for the heavy rainfall over the northeast United States. Mon. Wea. Rev., 131, 2905–2926.
DiMego, G., and Bosart L. , 1982a: The transformation of Tropical Storm Agnes into an extratropical cyclone. Part I: The observed fields and vertical motion computations. Mon. Wea. Rev., 110, 385–411.
DiMego, G., and Bosart L. , 1982b: The transformation of Tropical Storm Agnes into an extratropical cyclone. Part II: Moisture, vorticity and kinetic energy budgets. Mon. Wea. Rev., 110, 412–433.
Evans, J., and Hart R. , 2003: Objective indicators of the life cycle evolution of extratropical transition for Atlantic tropical cyclones. Mon. Wea. Rev., 131, 909–925.
Fogarty, C., 2002: Hurricane Michael, 17–20 October 2000: Part I—Summary report and storm impact on Canada and Part II—Forecast and warning critique. Atlantic Region Science Rep. Series 2002-01, Meteorological Service of Canada, 35 pp. [Available online at http://www.novaweather.net/Hurricane_Michael_files/Michael_MSC.pdf.]
Google Maps, cited 2011: St. Lawrence River valley. [Available online at http://maps.google.com.]
Gross, G., and Wippermann F. , 1987: Channeling and countercurrent in the Upper Rhine valley: Numerical simulations. J. Climate Appl. Meteor., 26, 1293–1304.
Hart, R., and Evans J. , 2001: A climatology of the extratropical transition of Atlantic tropical cyclones. J. Climate, 14, 547–564.
Hoskins, B. J., Draghici I. , and Davies H. C. , 1978: A new look at the ω-equation. Quart. J. Roy. Meteor. Soc., 104, 31–38.
Jones, S., and Coauthors, 2003: The extratropical transition of tropical cyclones: Forecast challenges, current understanding, and future directions. Wea. Forecasting, 18, 1052–1092.
Keyser, D., Reeder M. J. , and Reed R. J. , 1988: A generalization of Petterssen’s frontogenesis function and its relation to the forcing of vertical motion. Mon. Wea. Rev., 116, 762–780.
Koch, S., DesJardins M. , and Kocin P. , 1983: An interactive Barnes objective map analysis scheme for use with satellite and conventional data. J. Climate Appl. Meteor., 22, 1487–1503.
Kossmann, M., and Sturman A. P. , 2003: Pressure-driven channeling effects in bent valleys. J. Appl. Meteor., 42, 151–158.
Ma, S., Ritchie H. , Gyakum J. , Abraham J. , Fogarty C. , and McTaggart-Cowan R. , 2003: A study of the extratropical reintensification of former Hurricane Earl using Canadian Meteorological Centre regional analyses and ensemble forecasts. Mon. Wea. Rev., 131, 1342–1359.
Mahfouf, J. F., Brasnett B. , and Gagnon S. , 2007: A Canadian Precipitation Analysis (CaPA) project: Description and preliminary results. Atmos.–Ocean, 45, 1–17.
Matano, J., 1958: On the synoptic structure of Hurricane Hazel, 1954, over the eastern United States. J. Meteor. Soc. Japan, 36, 23–31.
McTaggart-Cowan, R., Gyakum J. , and Yau M. , 2003: The influence of the downstream state on extratropical transition: Hurricane Earl (1998) case study. Mon. Wea. Rev., 131, 1910–1929.
McTaggart-Cowan, R., Gyakum J. , and Yau M. , 2004: The impact of tropical remnants on extratropical cyclogenesis: Case study of Hurricanes Danielle and Earl (1998). Mon. Wea. Rev., 132, 1933–1951.
McTaggart-Cowan, R., Atallah E. H. , Gyakum J. R. , and Bosart L. F. , 2006a: Hurricane Juan (2003). Part I: A diagnostic and compositing life-cycle study. Mon. Wea. Rev., 134, 1725–1747.
McTaggart-Cowan, R., Bosart L. F. , Gyakum J. R. , and Atallah E. H. , 2006b: Hurricane Juan (2003). Part II: Forecasting and numerical simulation. Mon. Wea. Rev., 134, 1748–1771.
Mesinger, F., and Coauthors, 2006: North American Regional Reanalysis. Bull. Amer. Meteor. Soc., 87, 343–360.
Miller, J. E., 1948: On the concept of frontogenesis. J. Meteor., 5, 169–171.
Milrad, S. M., Atallah E. A. , and Gyakum J. R. , 2009: Dynamical and precipitation structures of poleward-moving tropical cyclones in eastern Canada, 1979–2005. Mon. Wea. Rev., 137, 836–851.
Milrad, S. M., Atallah E. A. , and Gyakum J. R. , 2010: Synoptic typing of extreme cool-season precipitation events at St. John’s, Newfoundland, 1979–2005. Wea. Forecasting, 25, 562–586.
NCDC, cited 2010: Eastern U.S. flooding and ice storm. [Available online at http://www.ncdc.noaa.gov/oa/reports/janstorm/janstorm.html.]
Novak, D. R., Bosart L. F. , Keyser D. , and Waldstreicher J. S. , 2004: An observational study of cold season–banded precipitation in northeast U.S. cyclones. Wea. Forecasting, 19, 993–1010.
Novak, D. R., Waldstreicher J. S. , Keyser D. , and Bosart L. F. , 2006: A forecast strategy for anticipating cold season mesoscale band formation within eastern U.S. cyclones. Wea. Forecasting, 21, 3–23.
Palmén, E., 1958: Vertical circulation and release of kinetic energy during the development of Hurricane Hazel into an extratropical storm. Tellus, 10, 1–23.
Powe, N. N., 1969: The climate of Montreal. Climatological Study, No. 15, Meteorology Bureau, Canadian Department of Transport, 51 pp. [Available from Supply and Services Canada, Canadian Government Publishing Centre, Ottawa ON K1A 0S9, Canada.]
Razy, A., 2010: Synoptic analysis of cold-season surface wind regimes in Montreal. M.S. thesis, Dept. of Atmospheric and Oceanic Sciences, McGill University, 102 pp.
Razy, A., Milrad S. M. , Atallah E. H. , and Gyakum J. R. , 2012: Synoptic-scale environments conducive to orographic impacts on cold-season surface wind regimes at Montreal, Quebec. J. Appl. Meteor. Climatol., 51, 598–616.
Ressler, G. M., Milrad S. M. , Atallah E. H. , and Gyakum J. R. , 2012: Synoptic-scale analysis of freezing rain events in Montreal, Quebec. Wea. Forecasting, 27, 362–378.
Roebber, P. J., and Gyakum J. R. , 2003: Orographic influences on the mesoscale structure of the 1998 ice storm. Mon. Wea. Rev., 131, 27–50.
Rotunno, R., Skamarock W. C. , and Snyder C. , 1994: An analysis of frontogenesis in numerical simulations of baroclinic waves. J. Atmos. Sci., 51, 3373–3398.
Saha, S., and Coauthors, 2010: The NCEP Climate Forecast System Reanalysis. Bull. Amer. Meteor. Soc., 91, 1015–1057.
Slonosky, V. C., 2003: The meteorological observations of Jean-Francois Gaultier, Quebec, Canada: 1742–56. J. Climate, 16, 2232–2247.
Weber, R. O., and Kaufmann P. , 1998: Relationship of synoptic winds and complex terrain flows during the MISTRAL field experiment. J. Appl. Meteor., 37, 1486–1496.
Weese, S., 2003: A reanalysis of Hurricane Hazel (1954). M.S. thesis, Dept. of Atmospheric and Oceanic Sciences, McGill University, 123 pp.
West, G. L., Steenburgh W. J. , and Cheng W. Y. Y. , 2007: Spurious grid-scale precipitation in the North American Regional Reanalysis. Mon. Wea. Rev., 135, 2168–2184.
Whiteman, C. D., and Doran J. C. , 1993: The relationship between overlying synoptic-scale flows and winds within a valley. J. Appl. Meteor., 32, 1669–1682.