1. Introduction
Low-level observations near and within the hurricane inner core have been rare. The lack of data in this region has forced researchers to make assumptions regarding the thermodynamic structure of the tropical cyclone (TC) boundary layer, including the critically important air–sea interface where ocean–atmosphere exchanges of momentum, heat, and moisture occur. Based on a few observations, it is the “conventional wisdom” that differences between sea surface temperature (SST) and surface air temperature (TA) within the hurricane environment are small (i.e., SST − TA ∼ 0°–1°C) and do not vary much as a function of distance from the storm center (Byers 1944; Palmen 1948; Riehl 1950, 1954; Miller 1958; Gray and Shea 1973; Hawkins and Imbembo 1976; Holland 1987; Willoughby 1995). It has also been speculated that any adiabatic or evaporative cooling experienced by surface air parcels as they flow inward toward lower pressure will be effectively balanced by heat transfer from the sea or by downward vertical mixing of relatively warm air above the surface (Byers 1944; Malkus and Riehl 1960; Frank 1977, 1984;Barnes and Powell 1995). Assumptions about SST − TA are particularly essential to thermodynamic models attempting to simulate the structure and physical processes responsible for the evolution and maintenance of hurricanes (Emanuel 1986; Holland 1997).
Recent studies by Korolev et al. (1990), Pudov (1992), and Pudov and Holland (1994) suggest, however, that there may be some functional dependence of the sea–air temperature contrast on the surface wind speed. Korolev et al. (1990) and Pudov (1992) observed that the average sea–air contrast (SAC) for two tropical storms increased from 1°C to 5°–6°C as surface wind speed increased from 12 to 25 m s−1. They suggested that the reduction in TA occurred primarily due to the evaporation of sea spray and that this cooling was dramatically enhanced as the sea state rose in response to stronger surface winds. While these preliminary findings are significant, a more thorough investigation using observations from many storms (particularly hurricanes) is essential if we are to understand air–sea interaction processes that regularly occur in tropical systems. A major objective of this research is to construct multi-storm composite analyses of near-surface atmospheric and oceanic conditions in order to improve the physical representation and basic understanding of the low-level thermodynamic environment observed in hurricanes.
2. Observational database
This research utilizes over 7800 individual near-surface meteorological and oceanographic observations from the National Data Buoy Center’s (NDBC) moored and drifting buoys and coastal marine automated network (C-MAN) platforms. The tropical cyclone–buoy database (termed TCBD) developed for this study includes 153 time series from 37 hurricanes over a 23-year period between 1975 and 1998 (Table 1). In order for a buoy–C-MAN time series to be incorporated in the TCBD, at least one observation must come within 250 km of the hurricane center. In addition, only surface data within 6° radius of the storm center have been included.
Hourly observations of standard surface meteorological data [TA, sea level pressure (SLP), wind speed and direction] were obtained from marine observing platforms for the 37 hurricanes illustrated in Table 1. Many of the time series in the TCBD also recorded measurements of SST. For 10 of the 37 hurricanes studied, surface dewpoint temperature (TD) was available. Most of the TCBD observations were acquired from NDBC’s quality controlled online archive buoy database (Gilhousen 1988, 1998). Detailed information on items such as platform locations and configurations, sensor descriptions and levels of accuracy, data acquisition, averaging, quality control, and archival techniques is available at the NDBC Internet site (http://www.noaa.ndbc.gov).
Over the past two decades, efforts by the Hurricane Research Division (HRD) have improved the quality of the current buoy–C-MAN database maintained at NDBC. This long-term quality control effort has been important in identifying and removing questionable surface data, particularly from the 1970s and early 1980s. In addition to these important contributions, considerable work has gone into improving the TCBD used in this research. This includes the elimination of several C-MAN time series that did not represent a marine exposure environment as well as efforts designed to identify possible cases of “wet-bulb” contamination within the TCBD. Wet-bulbing occurs when a thermistor becomes wet, and evaporative cooling on the sensor results in an erroneously cool TA measurement. Since only 10 of the 37 storms had TD observations, low-level moisture measurements could not always be used to detect the occurrence of near-surface wet-bulbing. Nevertheless, by using existing paired observations of TA and TD, preliminary analyses designed to investigate the occurrence of wet-bulbing could be attempted. For this analysis, TA and TD at t = t0 were compared with TA and TD observations at t = t0 + 1 h. As such, 1-h “ΔTA” and “ΔTD” pairings were determined. After eliminating all observations having surface winds <13 m s−1, 418 ΔTD–ΔTA pairings remained. Of these, 45 exhibited TA reductions <−0.5°C h−1. If wet-bulbing were occurring in these cases, an increasing trend in TD (i.e., positive ΔTD values) would be expected. However, for the 45 strongest cooling events the average ΔTD was found to be −0.26°C h−1. Using a Student’s t-test, the difference between the population ΔTD mean of −0.04°C h−1 and the 45-member sample mean of −0.26°C h−1 was found to be statistically significant beyond the 5% level. A brief summary of this analysis is given in Table 2. These findings suggest that low-level drying (and not wet-bulbing) is associated with the strongest surface cooling events observed in the TCBD. The issue of low-level drying and cooling will be discussed further in section 3b.
All surface winds used in the TCBD have been referenced to a 1-min averaging period using standard overwater ratios. Since NDBC observations use 8.5-min averaging periods for hourly buoy observations, 10-min averaging periods for drifting platform data, and 2-min averaging periods for observations obtained at C-MAN platforms, surface winds were normalized to a common maximum 1-min sustained averaging time (Powell et al. 1996). The 1-min period was chosen since it is the same averaging period used in advisories issued by the National Hurricane Center. In addition, all winds in the TCBD were adjusted to a common reference height of 10 m (Liu et al. 1979). For platforms that recorded TA at heights other than 10 m, a dry-adiabatic lapse rate adjustment to 10 m was made (i.e., ±0.0098°C m−1). No corrections were made for differences between SST and TA.
In addition to using hurricane positions obtained every 6 h from the “best track” dataset (Neumann et al. 1993), center fixes were also obtained from National Oceanic and Atmospheric Administration WP-3 and U.S. Air Force Reserves WC-130 aircraft reconnaissance flight missions. These high temporal “enhanced” TC center positions were available for 19 of the 37 hurricanes listed in Table 1.
3. Near-surface thermodynamic observations in hurricanes
a. Radial variations in sea–air contrast and surface wind speed
Figures 1a, 1b, and 1c are scatterplots of SAC for the SST ≥27°C subgroup (herein referred to as the ≥27 group), SAC for the SST <27°C group, and the 10-m wind speed for the ≥27°C group, respectively. Observations illustrated in Figs. 1a–c were subject to minimum surface wind speed thresholds of 13 m s−1 beyond 0.75° radius from the hurricane center and 17.5 m s−1 inside 0.75° radius from the center. The 13 m s−1 threshold was chosen since it incorporated most observations but eliminated a few suspect low wind cases. The latter filter of 17.5 m s−1 inside 0.75° radius was designed to eliminate surface observations within the hurricane eye.
After stratifying surface observations by SST ≥ or < 27°C, it was apparent that SACs for the ≥27 group noticeably increased with decreasing radial distance. This trend was not found for the <27 group shown in Fig. 1b. Figures 1a and 1b also illustrate that the degree of variability in SAC was much greater for the <27 group. In fact, the difference in standard deviation between these two groups was shown to be statistically significant beyond the 1% level (Table 3). Table 3 gives a summary of the SAC radially binned observations for both the ≥27 and the <27 groups. In addition, Table 3 illustrates statistics for SLP, SST, and TA as well as the mean and radially dependent values of surface wind speed for the ≥27 group.
Figures 1a and 1b depict contrasting low-level thermodynamic conditions near the inner core. In Fig. 1a, 294 of the 298 observations (i.e., 99%) exhibit SACs >0°C inside 2° radius. In contrast, less than 50% of the 234 observations inside 2° radius in Fig. 1b have SAC values >0°C. One possible reason for the increased variability and lower SACs in Fig. 1b may be found in Table 3. Here, we see that the average latitude for observations in Fig. 1b is 34.8°N versus 28.3°N for observations shown in Fig. 1a. In Fig. 1b, the observations are more likely to have come from northward “recurving” hurricanes located off the U.S. east coast. As such, these storms would tend to encounter significantly cooler SSTs poleward of the Gulf Stream “north wall” (typically located between 35° and 37°N, west of 65°W).
Counter to the Korolev et al. (1990) and Pudov (1992) case study results shown in Fig. 2a, the 1967 TCBD observations illustrated in Fig. 2b only suggest a weak positive correlation between the SAC and the surface wind speed. Less than 8% of the variance is explained for the polynomial fit illustrated in Fig. 2b. When observations having SSTs ≥27°C and surface wind speeds >13 m s−1 outside 0.75° radius or >17.5 m s−1 inside 0.75° radius were used, only 17% of the observed variance was explained (not shown). In comparison, 40% of the variance is explained for the polynomial fit shown in Fig. 1a between the SAC and the radial distance from the hurricane center.
Radially binned TCBD values illustrated in Table 3 show that much of the observed increase in SAC is a result of TA cooling occurring ∼3.25°–1.25° radius from the storm center, well outside the region of strongest surface winds and maximum pressure gradients. In order to determine if the average increase in SAC from 0.15°C (∼3.25° radius) to 2.42°C (∼1.25° radius) illustrated in Table 3 was statistically significant, a Student’s t-test that assumed unequal variance was conducted. Italic values in Table 3 signify a statistically significant difference (at the 1% level) with the adjacent mean value radially outward. Results from this analysis show that true differences between mean SAC values of 0.99°C (∼2.25° radius) and 1.75°C (∼1.75° radius), and 1.75°C (∼1.75° radius) and 2.42°C (∼1.25° radius) existed in each case beyond the 1% significance level. Similar statistical analyses showed that the increase in surface wind speed from 16.6 to 20.4 m s−1 between 3.25° and 1.25° radius was not found to be statistically significant at the 1% level in any case. It should be noted that the rise in SAC between 3.25° and 1.25° radius represents 96% of the total 2.4°C SAC increase observed inside 3.5° radius. In contrast, the increase in surface wind speed from 16.6 to 20.4 m s−1 over this same interval only represents 32% of the total 11.9 m s−1 wind speed increase observed inside 3.5° radius.
Radially binned averages of the parameters shown in Table 3 for the ≥27 group are also illustrated in Figs. 3a–c. Figure 3a depicts the SAC, SST, and TA, Fig. 3b shows the 10-m surface wind speed and 10-m radial wind, and Fig. 3c illustrates SLP and TAadiabatic, where TAadiabatic represents the impact of adiabatic expansion on the surface air parcel as it encounters lower pressure. Figures 3a and 3c show that only 0.3°C of the 1.9°C TA decrease between 3.25° and 1.25° radius is attributable to adiabatic expansion resulting from reduced SLP. Figures 3a–c also show, that on average, only 0.2°C additional TA cooling is observed within the high wind inner core despite rapidly falling SLPs and associated TAadiabatic reductions on the order of 1.8°C inside 1.25° radius.
b. Radial variations in low-level moisture
A possible explanation for the TA decrease observed in Fig. 3a may be found in Fig. 4, which illustrates radially binned calculations of surface relative humidity (RH) and surface specific humidity (q). These calculations are based upon direct measurements of TD from 10 of the 37 TCBD hurricanes listed in Table 1. In addition to the radially averaged values shown in Fig. 4, a statistical summary of these moisture parameters is given in Table 4. As with previous illustrations, only observations with SSTs ≥27°C and surface wind speeds >13 m s−1 outside 0.75° radius or >17.5 m s−1 inside 0.75° radius were included. It is evident from Fig. 4 that RH and q vary as a function of radius [despite earlier studies suggesting otherwise (Miller 1958; Gray and Shea 1973)]. Figure 4 shows that a temporary reduction in near-surface moisture exists between 4.5° and 1.75° radius. The difference between the mean q values of 20.2 g kg−1 (between 5° and 3.5° radius) and 19.0 g kg−1 (between 2.25° and 1.5° radius) illustrated in both Table 4 and Fig. 4 is statistically significant beyond the 5% level. Figure 4 also depicts a dramatic increase in q inside ∼1.25° radius from the storm center. Using a Student’s t-test for unequal variance, the average increase in q from 19.0 to 20.5 g kg−1 (inside 0.75° radius) is statistically significant well beyond the 1% level.
In section 2 it was shown that hourly reductions in TA <−0.5°C were associated with decreases in TD. From Table 2, we also see that the average drop in TD for the 13 strongest surface cooling events (i.e., top 25% of the ΔTA <−0.5°C sample) was −0.58°C. This compares with a −0.04°C mean drop in TD for the entire ΔTD population. Even after accounting for the low sample size, the likelihood of a true difference between these two means is greater than 95%. For these pairings, over 35% of the variance is explained (R2 = 0.351).
These statistical results suggest that some of the strongest cooling events observed in the TCBD may be associated with concurrent episodes of low-level drying. This trend is also illustrated in Fig. 5a, which depicts a portion of the paired TA–TD time series obtained from the Sombrero Key (SMKF1) C-MAN platform during Hurricane Georges (1998). The rapid drops in TA and TD observed between 2200–2300 UTC on 24 September 1998 are associated with a strong line of convection that moved through the SMKF1 station during that period (Fig. 5b). It should be noted that this particular ΔTA–ΔTD pairing was not included in the statistical analysis since the minimum wind speed threshold was not met at 2200 UTC. Nevertheless, these illustrations in conjunction with paired TA–TD statistical analyses suggest that low-level drying may accompany significant cooling events near regions of active convection.
These findings are significant since convective downdrafts are capable of bringing cooler air to the surface via evaporation, provided the air aloft is sufficiently dry (Barnes et al. 1983; Powell 1990). This “necessary condition” is more likely to be met outside the hurricane inner core where drier conditions in the low to midtroposphere are more common (Frank 1977). The composite analysis of near-surface moisture illustrated in Fig. 4 also demonstrates that drier conditions are observed away from the inner core ∼1.0°–3.0° radius from the hurricane center. These results may help explain why the majority of TA cooling is observed well away from the storm center (Fig. 3a). Within this outer region, dry air at low to midlevels could potentially modify TA and q structure in and around areas of active convection (Barnes et al. 1983; Powell 1990). However, within the highly convective inner core, it is likely that conditions aloft are well mixed and closer to saturation (Frank 1977; Jorgensen 1984). Under these conditions, the potential for downdraft-induced TA cooling would be significantly reduced (Barnes and Stossmeister 1986). TCBD composite analyses showing increasing q and constant TA inside 1.25° radius tend to support these findings (Figs. 4 and 3a).
Earlier studies investigating tropical squall-line convective systems have documented the fact that convective-scale downdrafts often interact with the tropical boundary layer (Betts 1976; Zipser 1977; Johnson and Nichols 1983; Fitzgarrald and Garstang 1981a,b). These studies also showed that relatively cool and dry squall-line wakes existed for several hours and were often readily discernable over hundreds of square kilometers. In Hurricanes Earl (1986) and Josephine (1984), Powell (1990) confirmed that convective downdrafts associated with hurricane rainbands transported dry air to the surface. In addition to these observational studies, numerical simulations conducted by Brown (1979) and Leary (1980) showed that downdrafts associated with tropical squall line convection significantly modified the thermodynamic structure of the tropical boundary layer by injecting relatively dry air into it. In each of these studies, the post-rainband–squall line tropical boundary layer was drier and noticeably cooler when compared with the initial, undisturbed, low-level environment (Barnes et al. 1983; Powell 1990).
c. Radial variations in θe
Over the last three decades, few surface moisture observations have been made in hurricanes over the ocean. However, if the overall “U-shaped structure” of q illustrated in Fig. 4 proves to be representative as additional measurements become available, the implications are significant. Figure 6 represents a radial depiction of θe using mean SLP and TA values from Table 3 with q values shown in Fig. 4 (interpolated to the radii used in Figs. 3a–c).
In addition to the θe profile determined using TCBD observations, Fig. 6 also depicts an “assumed” θe profile that uses a prescribed near-surface inflow temperature of SST − 1°C as well as a constant RH of 85%. The thermodynamic basis of the assumed profile is a balance between cooling from adiabatic expansion as the parcel flows inward and heating from the sea and/or from entrainment of relatively warm air above the cloud base (Malkus and Riehl 1960; Frank 1977, 1984;Willoughby 1995; Barnes and Powell 1995). The value of 85% is used since it is an often-cited reference value for RH in the hurricane near-surface inflow layer (Miller 1958; Willoughby 1995). Previous use of a constant 85% RH may have arisen from the “linear extrapolation” of results from an observational study conducted by Jordan (1958), showing surface RHs to be ∼80%–85% in the undisturbed Tropics with observations obtained from research and reconnaissance flights suggesting average surface RHs in the hurricane eye to be on the order of 80%–90% (Jordan 1952).
Figure 6 shows a decreasing trend in “observed” θe between ∼4.0° and 1.25° radius, stemming from inward reductions in both TA and q. In contrast, Fig. 6 depicts a marginal increase in “assumed” θe over this same interval as prescribed values of TA and q remain relatively constant and mean SLP decreases 3 mb from 1004.6 to 1001.6 mb. The net θe increase between 4.0°–1.25° radius for the assumed profile is 1.2 K while the observed θe decrease is slightly more than 4.1 K between 4.0°–1.25° radius. Similar to earlier studies depicting low-level radial profiles of θe near the inner core (Jorgensen 1984; Barnes and Stossmeister 1986; Barnes and Powell 1995), both profiles in Fig. 6 show an increasing trend in θe inside 1.25° radius. Figure 6 illustrates an 8-K increase in observed θe and a 3.4-K increase for the assumed profile. While both profiles exhibit θe increases resulting from reductions in SLP near the inner core (997.5 to 980.5 mb), only the observed θe profile includes the effects of rapidly increasing q inside 1.25° radius (19.2 to 20.5 g kg−1).
d. Radial variations in surface heat fluxes
The latent and sensible heat flux profiles illustrated in Fig. 7a compare reasonably well with estimates made in previous studies (Riehl and Malkus 1961; Miller 1964; Machta 1969; Barnes and Powell 1995; Black and Holland 1995). Both the assumed and observed flux profiles in Fig. 7a depict rapid increases in total surface heat flux (sensible plus latent) near the inner core. Of particular significance is the observed increase in the TCBD-derived sensible heat flux inside 1.5° radius. (This trend is not observed for the assumed profile since SAC = constant = 1°C.) This rapid rise in the relative contribution of surface sensible heat flux dramatically impacts the Bowen ratio near the inner core. An often-made assumption is that the Bowen ratio (defined as the ratio of sensible to latent heat flux) remains relatively constant with a value near 0.1 within the TC inflow layer (Huschke 1959; Hawkins and Imbembo 1976; Holland 1987). Figure 7b, however, shows that the observed Bowen ratio increases inside 2.5° radius and reaches a maximum average value of 0.20 near 0.5° radius. This significant increase in low-level diabatic warming in the inner core (when combined with nearly saturated conditions aloft) may help explain why surface air temperatures inside 1.25° radius remain relatively constant despite strong surface winds, deep convection, and rapidly falling surface pressures.
4. Summary and conclusions
Composite analyses of surface data compiled from 37 Atlantic basin hurricanes between 1975 and 1998 suggest that the difference between observed sea and air temperatures increases significantly outside the hurricane inner core. Increases in sea–air contrast are much more common when the observed sea surface temperatures are at least 27°C. For this group of observations, most of the increase in sea–air contrast is a result of a reduction in air temperature and not an increase in sea temperature. These observations show that 90% of the total 2.1°C low-level cooling occurs 3.25°–1.25° radius from the hurricane center, far outside the region of strongest winds and horizontal pressure gradients. Adiabatic expansion of the inflowing air parcel only accounts for 16% of the cooling observed between 3.25° and 1.25° radius. It also appears that the observed reduction in air temperature is not simply a result of evaporation from sea spray or precipitation since the average surface specific humidity is observed to decrease 4.5°–1.75° radius from the composite storm center. A possible alternate explanation is that outside the inner core, unsaturated convective downdrafts are transporting relatively dry, cool air into the near-surface environment. This low-level cooling and drying trend is also supported by earlier studies of tropical cyclone rainbands and squall lines. These studies illustrate that unsaturated downdrafts can act to significantly dry and cool the tropical boundary layer within and near regions of active convection.
The near-surface composite analyses constructed in this research do not support conventional wisdom regarding the thermodynamic structure of the TC inflow layer. It is clear that inside 3.25° radius, the observed low-level inflow is not isothermal, constant with respect to surface specific humidity, or in thermodynamic near-equilibrium with the sea. Due to the observed low-level cooling and drying, calculated values of θe significantly decrease between 4.0° and 1.25° radius. However inside 1.25° radius, θe quickly recovers as surface pressures fall, specific humidity increases, and air temperatures remain relatively constant. On average, calculated surface sensible and latent heat fluxes are greater than fluxes that assume near-isothermal inflow and constant surface relative humidity. The greatest increase in surface sensible heat flux occurs inside 1.5° radius where surface winds are strong and sea–air temperature contrasts are large. This dramatic increase in low-level sensible heating (as well as a limited supply of dry air aloft in the inner core) may help explain why surface air temperatures inside 1.25° radius do not cool further despite strong surface winds, regions of active convection, and rapidly falling surface pressures.
The composite analyses used in this research incorporate much surface data from 37 hurricanes over a 23-year period. Still, additional near-surface thermodynamic observations and radar analyses of precipitation patterns are necessary in order to further refine the representation of the low-level thermodynamic environment presented in this research. It is hoped that additional observations obtained from future targeted dropwindsonde deployments (Hock and Franklin 1998) as well as flight-level measurements from aerosonde radial inflow experiments (G. Holland, 1999, personal communication) will play a pivotal role in dramatically improving the representation, physical understanding, and realistic simulation of the low-level hurricane environment.
Acknowledgments
The authors would like to thank Russell St. Fleur of Miami’s Mast Academy for his assistance in data processing and for constructing the tables used in this research, as well as Pam and Joseph Cione for their word processing and editing assistance and Hugh Willoughby (HRD), Matt Eastin (Colorado State University), Chris Landsea (HRD), Greg Holland (Bureau of Meteorology Research Centre), and Pat Fitzpatrick (Jackson State University) for their very helpful discussions. The authors appreciate the efforts of Shirley Murillo (HRD) and Mark Powell (HRD) for developing the enhanced tracks used in this study. Thanks also go to Mike Burdette and others at NDBC. Without their assistance, finishing this work in a timely manner would have been next to impossible.
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Hurricanes in the tropical cyclone–buoy database.
Statistical summary of paired Δ TA–Δ TD observations.
Statistical summary of radially binned surface observations. Italic values indicate statistical significance at the 1% level with the next radial bin going outward.
Statistical summary of surface moisture parameters.