Flux and turbulence measurements at a densely built-up site in Marseille: Heat, mass (water and carbon dioxide), and momentum

Authors


Abstract

[1] Eddy covariance (EC) observations above the densely built-up center of Marseille during the Expérience sur site pour contraindre les modèles de pollution atmosphérique et de transport d'émissions (ESCOMPTE) summertime measurement campaign extend current understanding of surface atmosphere exchanges in cities. The instrument array presented opportunities to address issues of the representativeness of local-scale fluxes in urban settings. Separate EC systems operated at two levels, and a telescoping tower allowed the pair to be exposed at two different sets of heights. The flux and turbulence observations taken at the four heights, stratified by wind conditions (mistral wind and sea breeze), are used to address the partitioning of the surface energy balance in an area with large roughness elements. The turbulent sensible heat flux dominates in the daytime, although the storage heat flux is a significant term that peaks before solar noon. The turbulent latent heat flux is small but not negligible. Carbon dioxide fluxes show that this central city district is almost always a source, but the vegetation reduces the magnitude of the fluxes in the afternoon. The atmosphere in such a heavily developed area is rarely stable. The turbulence characteristics support the empirical functions proposed by M. Roth.

1. Introduction

[2] At the end of the twentieth century, approximately half of the world's population, over three billion people, lived in urban areas. By 2025, the United Nations (cited by Uitto and Biswas [2000]) predicts that this number will double, and that two thirds of the global population will live in urban areas. Alteration of the land surface and atmosphere by urban development leads to the creation of distinct urban climates. Ultimately, these urban climate effects are due to differences in the exchanges of heat, mass, and momentum between the city and its preexisting landscape. Thus the understanding, prediction, and mitigation of urban climate effects are intricately tied to knowledge of surface-atmosphere exchanges in urban environments.

[3] Urban areas comprise a wide range of land covers and land uses. This diversity presents a multiplicity of boundary conditions to the atmosphere. These include controls exerted by roughness (the size, shape and separation of buildings and vegetation), the radiative, thermal, and moisture properties of all facets of the urban system and their spatial arrangement, and patterns of emissions (carbon dioxide, for example). In any given urban area these properties are organized uniquely because of the particular blend of topography, climate, economy, history and culture, and the residential, industrial and commercial land uses that differentiate its districts. Recognition of this has directed research to understand the spatial and temporal variability of surface-atmosphere exchanges within and between cities, within and between land uses, and the causes that underlie such differences. Several studies have been conducted in North American cities, mainly in summertime conditions and residential neighborhoods (see summary given by Grimmond and Oke [2002]). More recently, flux observations have been conducted outside of North America; see, for example, work in Christchurch, New Zealand [Spronken-Smith, 2002], and Tokyo, Japan [Moriwaki and Kanda, 2004]. Studies in European cities add significantly new characteristics to the mix because of these cities' distinct architectural styles, building materials, climatic settings and energy use/emission patterns (for example, Zurich, Switzerland [Rotach, 1995]; Basel, Switzerland [Feigenwinter et al., 1999; Christen et al., 2002]; Edinburgh, Scotland [Nemitz et al., 2002]; and Łódź, Poland [Offerle et al., 2004]). There are also examples of longer-term studies encompassing at least the full seasonal cycle and even multiple years [Anderson and Taggart, 2002; Christen et al., 2002; Grimmond et al., 2002b; Moriwaki and Kanda, 2004; Offerle et al., 2004]. Collectively, these studies document the temporal and spatial variability of flux partitioning, both within and between urban areas. Nevertheless, the range of conditions studied, both in terms of meteorology (seasonal and synoptic conditions) and surface cover (building sizes, shapes and arrangements, and vegetation cover) remains limited, especially compared with the many studies of surface-atmosphere fluxes in forested, agricultural, wetland, snow and ice environments.

[4] In June–July 2001, a multidisciplinary study of urban air pollution, the Expérience sur site pour contraindre les modèles de pollution atmosphérique et de transport d'émissions (ESCOMPTE) project, was conducted in the Berre-Marseille region, of France [Cros et al., 2004; Mestayer et al., 2004]. As part of this extensive study, local-scale fluxes of heat, mass, momentum, and carbon dioxide were measured at a central city site in Marseille. These flux data provide information on the summertime surface energy balance and carbon dioxide fluxes in a densely built-up area (little vegetation, tall buildings with massive walls and deep street canyons) under a range of wind conditions (strong mistral winds and sea breezes). The instrument configuration made it possible to address the representativeness of local-scale fluxes in such a district because two sets of instruments were operated at two sets of heights. Moreover, the availability of complementary observations of surface temperature [Pigeon et al., 2002; Roberts et al., 2003; Lagouarde et al., 2004], spatially integrated sensible heat fluxes [Irvine et al., 2002; Lagouarde et al., 2002], boundary layer structure [Mestayer et al., 2004], and the results of detailed numerical modeling [Lemonsu et al., 2004a, 2004b] provide independent data against which to evaluate and interpret the local-scale flux data.

2. Methods

2.1. The City

[5] Marseille, the second largest city in France, is a major seaport and an industrial and commercial center. Its current population exceeds 800,000; more than two million people live in the extended metropolitan area. Marseille is located at the south end of the Rhône Valley, a long north-south rift between the Cévenne Mountains and the foothills of the French Alps. The city itself is surrounded by hills, 400–650 m in height, separated by small valleys that channel flow toward the city center. The Gulf of Lyons is located directly to the west of the city, and the open Mediterranean Sea lies approximately 10 km to the south.

2.2. The Site

2.2.1. Urban Structure and Roughness

[6] The measurement site, centered on the Cour d'appel administratif (CAA, ESCOMPTE site E10), is located at 43°17′N, 5°23′E (elevation 70 m asl), in a dense commercial and residential area of the city (Figure 1). Buildings are 4–6 stories in height with an average height (zH) of 15.6 m (Table 1), based on a ground survey and analysis of the Long et al. [2002] database near the site. Vegetation is largely contained within the urban canyons or inner courtyards. The zero-plane displacement length (zd), based on rule-of-thumb estimates (where zd = 0.7 zH [Grimmond and Oke, 1999a]), is ∼11 m. Using this value for zd and the log law, we estimate the roughness length for momentum (z0) for the site is ∼2.5 m.

Figure 1.

Images of the study site: (a) Oblique photograph looking north showing the observation site. Arrow indicates location of tower. (b) Aerial photograph of city center with location of the tower and other sensors. The horizontal bar is 1 km. Note that this is a modified version of Figure 1 of Lemonsu et al. [2004a], which had errors.

Table 1. Surface Characteristics of the Study Sitea
Surface PropertyValue
  • a

    See text for further explanation of methods used to obtain values. Sky view factor calculated using a digital camera and methods described by Grimmond et al. [2001] at ∼1.5 m.

Albedo (D1)0.18
Albedo (U1)0.16
Sky view factor (mean)0.40
Roughness length2.5 m
Zero-plane displacement length11 m
Mean building height, zH15.6 m
Mean surface fraction vegetated (when at U1, D1)0.11, 0.14

2.2.2. Surface Cover

[7] On the basis of visual analysis of a color aerial photographic image (provided by M.-A. Velay-Dabat, Laboratoire ABC, Ecole d'Architecture de Marseille-Luminy), information on the surface cover and materials around the site was generated for an area of 3.5 km (north-south) × 2.5 km (east-west). The surface cover was classified into 15 types (Table 2). This information was combined with building height data (based on the 2 m resolution database of Long et al. [2002] derived from data of the Institut Géographique National de France (IGN)), to generate a 10 m × 10 m resolution database of surface materials and morphometry (for details, see Lemonsu et al. [2004a] and Mestayer et al. [2004]).

Table 2. Surface Cover/Materials Mapped Visually From Color Aerial Photographsa
General ClassMaterials Categorized
  • a

    A portion of the image is shown in Figure 1b.

Roofstile roofs, metal roofs, gravel roofs, white roofs, green roofs, black roofs
Imperviousroads, concrete courtyards, railway
Waterharbor, fountains, boats
Vegetationtrees, other (mainly grass), bare ground

[8] To determine the surface characteristics affecting the flux observations for any 60 min period, the flux source area model (FSAM) of Schmid [1994] was used to estimate the source areas of the turbulent fluxes. Given the limits of FSAM, the range of the stability conditions encountered during the study period (see section 3.8) and the height of the sensors relative to the roughness elements, source area could not be estimated for some observations. However, it is possible to estimate the probable characteristics of the source areas for most observation periods. The three inputs to the FSAM model are related to stability (z′/L = [zs − zd]/L, where zs is the sensor height and L is Obukhov length) (see section 3.8), sensor height ([zs − zd]/z0), and lateral turbulence characteristics (σv/u* where σv is the standard deviation of the lateral velocity and u* is the friction velocity). The size of the source area increases with increasing sensor height; its length increases as atmospheric stability changes from unstable to neutral to stable conditions; and its width increases with σv/u*. For those times when FSAM did not yield a result, a source area filter was assigned on the basis of results for periods with the closest meteorological conditions for the 60 min period.

[9] Source weights for each grid square were used to calculate the appropriate surface characteristics influencing each 60 min flux observation from a GIS database. The composite daytime source areas during mistral and sea breeze conditions are given by Lemonsu et al. [2004a] (their Figure 10).

2.3. Micrometeorological Measurements

[10] The micrometeorological instrumentation at the CAA site (Table 3) was mounted on a pneumatic mast (Hilomast NX30) installed on the roof of the building. The base of the tower was 20.7 m above ground level. Equipment was mounted at two levels (L1 upper and L2 lower) on the tower (Table 4). The tower was operated in two modes: up (U) when the tower was extended to its greatest height of operation and down (D) when the tower was partially retracted because of strong wind conditions. Thus at any given time the two eddy covariance (EC) systems, vertically separated by 6 m, operated in one of these two modes, depending on wind conditions (Table 4). The mast was located along the path of a large aperture scintillometer. Thus fluxes measured at the tower using eddy covariance techniques can be compared with those measured along the scintillometer path [Lagouarde et al., 2004; Lemonsu et al., 2004a].

Table 3. Instrumentation Used at the CAA Site (ESCOMPTE Site E10)a
VariableInstrumentModelLevel
  • a

    See text for definition of variables. Levels and their heights are defined in Table 4.

u, v, w, u*, QH, T, τsonic anemometerRM Young 81000L1, L2
CO2, H2Oinfrared gas analyzerLicor-7500L1, L2
K↓, K↑, L↓, L↑, Q*radiometerKipp & Zonen CNR1L1
TthermocoupleOmega T-type 36 awgnine heights
T, RHT/RH sensorVaisala HMP35C with Gill radiation shieldL2
Surface moisture Weiss-type 
Surface Tinfrared radiation thermometerEverest, various 
Table 4. Heights at Which EC Equipment Was Operateda
 L1L2zL1/zHzL2/zH
  • a

    “L” refers to level, and “up” and “down” refer to the height to which the tower was extended; zH is the average height of the buildings. The radiation equipment was mounted at level 1 (L1).

Up43.9 m (U1)37.9 m (U2)2.812.42
Down34.6 m (D1)28.5 m (D2)2.221.83

[11] The methods used to acquire and process the meteorological data are similar to those described by Schmid et al. [2000] and Offerle et al. [2004]. Two sonic anemometers (RM Young, Model 81000) were used to measure the three-dimensional (3-D) wind velocities (u, v, w) and virtual air temperature (T). Two infrared gas analyzers (Licor, Model 7500) were used to measure fluctuations of water vapor and carbon dioxide. A net radiometer (Kipp and Zonen, Model CNR1) measured the incoming (↓) and outgoing (↑) shortwave (K) and longwave (L) radiation fluxes. All instruments (Table 3), except for the sonic anemometers (SAT), were wired to a datalogger (Campbell Scientific 23X). The SATs were connected directly to the serial ports of a computer. The signals for the eddy covariance calculations were sampled at 10 Hz, and data were subjected to spike detection and rejection algorithms. The lag between the sonic measurements and the IRGA was set to the lag of maximum correlation between the thermocouple and the sonic temperature over the flux-averaging interval. Following Kaimal and Finnigan [1994], the variances and covariances are rotated to streamwise coordinates for flux computation. At hourly intervals, QH, QE and turbulence statistics are computed, and block averages are used to compute the instantaneous fluctuations. Corrections were applied for sonic virtual temperature [Schotanus et al., 1983] and the density correction [Webb et al., 1980] for QE and FCO2. All data (raw and calculated statistics) are subjected to strict data limits to reject implausible values. All data are referred to in terms of local time.

[12] Rotation of the coordinate system of the 3-D turbulence data, particularly the vertical component, has been much discussed in the micrometeorological literature [Lee, 1998; Paw U et al., 2000; Wilczak et al., 2001; Massman and Lee, 2002; Finnigan et al., 2003; Su et al., 2004]. Most recently, the use of a planar fit method is recommended [Paw U et al., 2000; Baldocchi et al., 2001; Wilczak et al., 2001]. However, in this study since we do not have a long-term record of flux observations, the influence of tilt and flow distortion on the mean vertical velocity (equation image) cannot be determined easily (given the need for the assumption that equation image is zero over “long” periods). Here this issue is exacerbated because the instruments were not kept at the same position at all times (the mode of operation of the tower and thus the height of the instruments varied). Therefore the data set would need to be divided into short periods for analysis, resulting in inadequate data for a range of wind directions. Thus we chose to report flux data without planar coordinate rotation. The implication is that local topographic effects have not been removed.

2.4. Meteorological Conditions During the Observation Period

[13] Measurements were undertaken from 16 June 2001 (day 167) to 14 July 2001 (day 195). The reference climate station for this area, which is part of the Global Station Network, is Marseille-Marignane (World Meteorological Organization (WMO) ID 07650), located at 43°45′N, 5°23′E (elevation 36 m asl) (WMO, GSN stations list region 6 Europe, http://www.wmo.ch/web/gcos/region6europe.htm, 2002). Data from this station are available from 1921 to 1999 from National Climatic Data Center [2002]. On the basis of these data, climatologically the June–July period is the driest period of the year (Figure 2). July has the highest average surface pressures and the warmest temperatures. June 2001 was drier than usual. In the study period it only rained twice with the most significant rain occurring at the end of the field campaign (Figure 2b). Through the study period, the characteristic sequence of synoptic conditions involved rising atmospheric pressure followed by lower pressure every 5–6 days.

Figure 2.

(a) Average climatology by month for Marseille-Marignane (WMO ID 07650) based on WMO Global Station Network (1921–1999) data. Mean and standard deviation are shown for temperature (T) and precipitation along with mean, maximum, and minimum temperature and station level pressure. (b) Conditions at Marseille-Marignane during ESCOMPTE, times of intensive operation periods (IOPs), and wind régime classification (see text) are shown. Days without a symbol are classified as “other.” Bars associated with the mean temperature are the maximum and minimum temperatures for the day.

[14] Much of the observation of surface-atmosphere fluxes in cities has been restricted to places with low wind speeds. An exception is Tucson, where simple parameterization schemes that work well elsewhere perform more poorly [Grimmond and Oke, 2002]. Therefore, in Marseille, where strong winds were common, the effect of wind on local-scale flux partitioning was of particular interest. In order to facilitate this analysis, G. Pigeon ( Météo France, personal communication, 2001) classified each day of the study period into one of three wind régimes (“mistral,” “sea breeze,” and “other”) using wind speed and direction data from the station Vallon Dol (see location in Figure 1 of Mestayer et al. [2004]). The mistral is a strong NW katabatic wind (>7 m s−1) that emerges from the Rhône Valley and is driven primarily by synoptic-scale pressure differences between the Pyrénées and the Apennines. Mistral events are most common during winter and spring. The mistral often develops after midnight, or in the early hours of the morning. Once established, however, the wind speeds associated with the mistral generally peak in the afternoon, weakening in the evening. Typically, mistral conditions prevail for 1–3 days, occasionally lasting a full week. In contrast, sea breeze flow has light to moderate winds from the NW, SW or SE. This range of directions is a response to the complex geometry of the coastline around Marseille, which means that the sea breeze front moves onshore from several directions. The category “other” includes those days where there is a large variation in wind direction and speed. Under these conditions, winds tend to be light during the night and morning (<5 m s−1). The wind conditions on any given day are shown in Figure 2b.

3. Results and Discussion

[15] Turbulence data were collected from four levels (two at any given time) and radiation at two levels (one at any time) (Table 4). Stratifying the data by level and wind direction allowed the influence of surface cover on flux partitioning and of the representativeness of surface-atmosphere fluxes to be studied. The influence of the height of the measurements is considered first, then the effect of the different wind régimes and surface properties on the fluxes are discussed.

3.1. Effects of Wind Régimes

[16] As a precursor to this analysis, it is useful to consider the actual wind conditions observed during the study period and their diurnal pattern. To study the effects of changes in wind direction, the data were stratified into 60° sectors: Dir 1 from 0° to 60°; Dir 2 from 60° to 120°, etc. Mean values for a direction are reported only if there was a minimum of four 60 min samples for that direction. When the tower is in the U position, data from the uppermost instrument level exhibit a greater range of wind directions. In contrast when the tower in the D position winds were predominately from the west-north sectors. This is expected since the tower was retracted to the lower (D) position when strong mistral winds were forecast. Overall, the highest mean wind speeds (average 6.5 m s−1) occurred in the afternoon from direction 6 (300°–360°) when the tower was in position D1. Although the tower is lower, the results are consistent with what was expected under the influence of the mistral.

3.2. Effects of Measurement Height

[17] The nature of the vertical structure of the atmosphere in urban areas is of interest both from the perspective of measurement and modeling [Rotach et al., 2002]. The presence of large roughness elements in cities means the roughness sublayer is large relative to the inertial sublayer, or constant flux layer. This has implications for the height of instrument exposure to ensure measurements are representative of the appropriate spatial scale. Instruments located within the surface layer above the blending height (or the roughness sublayer), where the differences from the microscale variability have been smoothed out or integrated, can be considered representative local-scale measurements. Below this height, measurements are affected by the microscale effects of individual elements and surfaces and show enhanced variability in space and time [Oke, 1997; Rotach, 1999; Roth, 2000; Rotach et al., 2002]. On the basis of wind tunnel observations, Kastner-Klein and Rotach [2004] show that at heights above approximately 2 times the mean height of the roughness elements (zH) this transition should occur (see their Figure 5). It has been suggested that the multiple may, however, depend on the density of the element spacing: least at high, and greatest at low, densities [Oke, 2004].

[18] To investigate the height of the transition in Marseille, observations of QH and u* from the two levels of instrumentation (L1 and L2) were compared when the tower was in the up and down modes (Table 4). The ratio of the sensor data (L1/L2) for 60 min periods were calculated and stratified by tower position (U and D) and time of day. When the tower is in position U, during the day the ratio of u* values for the two heights is close to unity (Figure 3); that is, u* from both levels of EC instruments on the tower are similar. In contrast, when the tower is in the D position (and the lower instrument package is mounted below 2 zH) measurements of u* differ. Values from the lower level are consistently less than those at the upper level, hence the ratio is greater than unity. Broadly similar results are evident for the observed sensible heat fluxes. When the tower is extended (U) both instrument levels record similar fluxes (Figure 3), but when retracted (D), the lower instruments (D2) measure lower QH. Greater variability is evident for both u* and QH at night. This is not surprising given that ratios of small values are involved, and wind velocities are less giving greater measurement error [Baldocchi et al., 2001].

Figure 3.

Mean and standard deviation of the ratio by level of u* and QH (L1/L2) when the tower is in the U and D positions by time of day.

[19] When the ratio of u* or QH for the two levels is close to unity, we conclude that both sets of instruments are within the constant flux layer. At this site, therefore, when the tower is in the U position, and instruments at both levels are exposed at heights greater than 2zH, both instrument levels yield representative local-scale flux measurements. However, when the tower is in the D position, only the upper measurement level provides local-scale fluxes. In this dense urban setting, these results provide further support of the guideline of about 2zH as the minimum height required to obtain representative local-scale fluxes at a densely developed site and gives confidence that such fluxes are being analyzed here.

3.3. Albedo and Radiation Fluxes

[20] The surface albedo was determined from the observations at the two heights when both the incoming and outgoing solar radiation were >5 W m−2. The diurnal “U”-shaped pattern (Figure 4) is remarkably similar to that observed over less rough surfaces such as low plant covers, bare soil, snow, ice and water bodies [Oke, 1987]. This pattern has been seen in other urban studies [Rouse et al., 1973; White et al., 1978; Offerle et al., 2003]. In the middle of the day, the albedo is 0.16 when the tower is at the U1 level, and 0.18 when the tower is more retracted (D1) (Table 1). As Reifsnyder [1967] described, and Offerle et al. [2003] and Soux et al. [2004] demonstrate, the height of a radiation sensor influences the number of microscale units (building and canyons) the sensor “sees,” and thus the representativeness of the observations. It also affects the proportions of facet types seen (i.e., roofs, walls and road [Soux et al., 2004]). At this site, the albedo determined from the U1 level should yield the most representative local-scale value for the city center area. In particular, it probably gives a better representation of facet types is relevant because the roof of the CAA building is covered with light-colored gravel (albedo ∼0.21 [Roberts et al., 2003]) and it has a larger influence on the tower-observed albedo the lower the down-facing pyranometer is mounted.

Figure 4.

Mean and standard deviation of surface albedo with height (U1, D1).

[21] The asymmetry in the diurnal course of albedo (Figure 4) suggests that either the sensor is not exactly level or that surface and/or meteorological factors influence the radiation exchanges differently in the morning and afternoon. The varying sun/shade patterns and the associated changes in the role of particularly high- or low-albedo surfaces through the day can result in temporal asymmetry of the upwelling flux. Further, this site has deep urban canyons, thus shadows and canyon orientation affect albedo. The effect of canyon geometry (specifically the height to width ratio) on albedo is well documented [Aida, 1982; Arnfield, 1982], however, previous modeling studies only consider symmetrical canyons [Aida, 1982; Arnfield, 1982; Pawlak and Fortuniak, 2003]. At the CAA site, the urban configuration is complex and asymmetric. Although the pyranometer's field of view (FOV), and thus albedo, does not vary with wind direction, differences in air quality, haziness, and cloud may change with winds from different directions are another potential source of asymmetry. For example, at times when the mast was fully extended, U1, and the wind was from directions 120°–180°, clouds tended to be present in the early afternoon (1300–1400 LT), with an associated reduction in K↓, K↑ and Q*.

[22] Given these characteristics it is not surprising that the diurnal course of albedo (Figure 4) is asymmetric. The difference through the course of the day (1000–1700 LT) when measuring at one height is about the same size, 0.02, as the difference observed between measurements at the two heights (U1 and D1). The diurnal asymmetry of albedo is greater from the lower measurements, D1 (0.028 compared to 0.016 at U1), which is consistent with shadows being a more significant part of the FOV when the tower is retracted.

[23] The incoming and outgoing shortwave and longwave radiation fluxes are categorized into two periods: when the tower was retracted (D) typically during mistral wind conditions; and when it was more fully extended (U), sea breeze and all other wind conditions. Generally, clearer skies were associated with times of the mistral wind, resulting in slightly greater solar radiation in the morning hours when the tower was down (D) (Figure 5). The outgoing longwave radiation is essentially the same regardless of tower height or wind. The morning incoming longwave radiation is slightly less for D1 than U1, as is to be expected because of the clearer and cooler skies during mistral conditions. Overall, the mean net all-wave radiation is very similar for the two sets of conditions (U and D) with the greatest difference (<50 W m−2 in the average) just before solar noon.

Figure 5.

Mean radiation balance at the U1 (lines with symbols) and D1 (symbols) levels.

3.4. Energy Balance Fluxes

[24] In this study, the terms not directly observed in the surface energy balance are the anthropogenic heat flux, advection, and storage heat flux. The anthropogenic heat flux (QF) is a function of the number of vehicles driven within the area, the energy used within buildings, and the energy released as part of metabolism [Grimmond, 1992; Sailor and Lu, 2004]. Unfortunately, such data are not available for the study site in Marseille. However, Sailor and Lu [2004] recently made estimates of the temporal variation of QF for several large U.S. cities, and Ichinose et al. [1999] do the same for central Tokyo, Japan; Harrison et al. [1984] and Kłysik [1996] include both temporal and spatial variations for the densely built cities of London, UK, and Łódź, Poland, respectively. On the basis of these and other published analyses the diurnal pattern of QF for central Marseille was assigned as follows: nighttime value of 15 W m−2, daytime value of 50 W m−2; with an hour transition, to a morning and late afternoon peak value of 75 W m−2. The timing of these peak values are based on the FCO2 results (section 3.7), which provide an independent measure of human activity near the Marseille site. As previous discussions indicate, the observed surface energy balance already incorporates some of the anthropogenic heat flux. For example, the net all-wave radiation is reduced because of increased surface temperature [Grimmond, 1992; Crawford and Grimmond, 2003]. The turbulent sensible heat flux measured above the canopy also includes emissions of heat from vehicles. However, because the storage heat flux term is derived as a residual, i.e., it is not directly measured, any anthropogenic heat that causes the urban soil-building-air volume to heat up needs to be included.

[25] The horizontal advective terms for this measurement period are difficult to determine with our observations. Pigeon et al. [2003] used their network of temperature and humidity sensors, located at approximately the top of the urban canopy layer in Marseille, and a mesoscale model to determine these fluxes for 1400 local time (LT) on 4 days in the ESCOMPTE campaign. Their results indicate that the moisture and heat flux advection are of similar size but of opposite sign. They conclude that they cancel each other out.

[26] Here, the storage heat flux is determined as a residual from the observations, including an estimate of QF but not the advective terms. Therefore the storage heat flux accumulates the errors due to measurement uncertainty and the unmeasured terms [Grimmond and Oke, 1999b]. In forested sites, where energy balance closure has received significant attention in recent years, it has been noted that in most cases, closure of the energy balance is not obtained from observations [Wilson et al., 2002; Oliphant et al., 2004]. Moreover, it appears that the turbulent heat fluxes may be under observed. The results presented here should be considered with these caveats in mind.

[27] Controls on surface energy balance fluxes are complex and relate to both atmospheric and surface influences. Given the different atmospheric and fetch (surface) conditions related to the mistral and sea breeze wind régimes, here we consider the surface energy balance fluxes for the entire study period and then discuss differences under the influence of the sea breeze (U) and mistral (D) conditions.

[28] The overall energy balance fluxes for the entire study period are summarized in Table 5. The fluxes presented come from those days with complete data for the 24 hours or for the daytime period. If a 1 hour gap occurred, missing data were filled in by linear interpolation of data from the surrounding hours. On the basis of hour-by-hour inspection of the fluxes, it is apparent that for individual hours the moisture signal produces large excursions of QE. For this reason, the initial or first averages were computed when all data were considered (for the conditions listed above), referred to hereafter as condition 1 (C1). A second set of averages was calculated with the hours having large excursions removed (referred to hereafter as condition 2 (C2)) (QE fluxes removed when σq > 0.2 g m−3 when QE > 200 or <−35 W m−2). The day-to-day variability of the average daily fluxes for both sets of conditions is presented in Figure 6 (open symbols indicate C1, and closed symbols indicate C2).

Figure 6.

Mean daily fluxes for each day of the observation period. The upper line of text gives information on the prevailing wind régime (M, mistral; S, sea breeze; O, other). On the next two lines, C indicates complete 24 hour data coverage with the presence of data for condition 1 on line C1 (see Table 5 and text) and with the presence of data for condition 2 on line C2. The data connected with lines and open symbols are for condition 1; the solid symbols are for condition 2.

Table 5. Mean Energy Balance Fluxes Measured at L1 for the Study Period, by Prevailing Wind Régime and by Tower Locationa
 Condition 1Condition 2
Q*QHQEΔQSQH/Q*QE/Q*ΔQs/Q*βNQ*QHQEΔQSN
  • a

    Mean energy balance fluxes are given in W m−2. See Figures 2 and 6 for prevailing wind régimes. Condition 1 consists of the averages of all data, whereas for condition 2, spikes in the latent heat flux have been removed (see text for more details). N is the number of complete days. QF is estimated to be 33 W m−2.

  • b

    U1↔D1 refers to days when the tower was moved between positions.

24 Hours
All1631543830.950.230.024.022516415339519
Other1571523160.970.200.044.8561591533175
Mistral17316450−90.950.29−0.053.28417316448−74
Sea breeze1621523860.930.230.034.011516314939810
 
Q* > 0 (13 Hours)
All36425361980.690.170.274.17253672525910419
Other35024850980.710.140.284.956353249471045
Mistral38626973910.700.190.243.66438626969954
Sea breeze365251611000.690.170.274.08153662466010810
 
24 Hours
D117017241−111.010.24−0.064.18717017242−127
U11651484270.900.260.043.49916714540156
U1↔D1b15514532100.940.200.074.58915514035136

[29] Clearly, for Marseille, QH accounts for the largest fraction of energy, with an overall fraction of 0.95 of Q*. However, for individual days the ratio varies widely, from 0.69 to 1.32. Under sea breeze conditions QH/Q* is slightly smaller, on average (0.93). The storage heat flux (ΔQS) peaks before solar noon and turns negative one or two hours before Q* (Figure 7). Prior to the solar peak the partitioning of the sensible heat between convection and conduction is almost equal; but in the afternoon convection dominates, with a peak in the early afternoon. The phase shift of QH relative to Q* is substantial in the later afternoon, and in the evening QH remains directed away from the surface. This is a known feature of heavily developed urban sites (see Grimmond and Oke [2002] for a more full discussion). There is a large loss of heat storage through the nighttime period, indeed the ΔQS/Q* ratio is considerably greater than 1 (Figure 8). The heat storage régime at this site is considered in more detail by Roberts et al. [2003]. The role of changing conditions through the study period is also evident in ΔQS. The net storage heat flux is expected to tend to zero over longer time periods, with excursions of net gain and loss based on synoptic conditions. For the overall study period, ΔQS averages 3 W m−2 (condition 1), but if spikes in QE are removed (condition 2), it averages 5 W m−2 (Table 5). It should be noted, however, that the net ΔQS is influenced by the size and timing of the assumed QF term. For example, if our estimated daytime QF were reduced to 40 W m−2 it would give a net ΔQS of 0 and 1 W m−2, for conditions 1 and 2, respectively. The time periods of greatest net heat loss from the urban fabric are, as expected, during mistral wind conditions.

Figure 7.

Mean and standard deviation of the energy balance fluxes for all L1 (U1 and D1) data for the study period for condition 1 of Figure 6.

Figure 8.

Mean and standard deviations of the surface energy balance fluxes (left column) for days defined as sea breeze (top), mistral (middle), and other (bottom). Mean and standard deviation of surface cover characteristics in the flux source area associated with these conditions (middle column). Normalized fluxes compared by wind condition (right column) for Bowen ratio (QH/QE) (top panel) and turbulent sensible heat flux (QH/Q*), latent heat flux (QE/Q*), and net storage heat flux (ΔQS/Q*) (bottom three panels). See Figure 6 for definitions of days.

[30] The latent heat fluxes (QE) measured at the CAA site generally are small, as expected given the relatively small fractions of vegetation cover and open water in the source area of the turbulent flux measurements, and the lack of precipitation in the study period. However, the latent heat fluxes are not negligible (QE/Q* = 0.23) and are larger than those observed in Mexico City (Me93) and at a light industrial site in Vancouver (Vl92) [Grimmond and Oke, 2002]. The combined plan area fraction of vegetation and water is much greater in Marseille (10–20%) than in Me93 and Vl92 where it was ≪10% (see section 3.6). Also, street cleaning, using water from the city main water pipes, appears to be more common in Marseille than in Me93. The daytime Bowen ratio (QH/QE) fluctuates around 3–4. At night small latent heat fluxes (<20 W m−2) continue. Variations in moisture associated with differences in wind directions are also important on an hour-to-hour and day-to-day basis. This issue is considered further in section 3.5. Under mistral wind conditions the QE/Q* ratio is greatest.

[31] It should be noted that all of the fluxes have a larger absolute magnitude, on average, under mistral conditions. This is partly due to the clearer air and therefore increased Q*. When the tower was in the U1 (sea breeze typically) and D1 (mistral typically) modes, observed differences in the turbulent sensible heat flux are greater than differences in the forcing radiation flux (Table 5). Observations from the D1 position show QH values that are slightly greater than Q* on average.

[32] The mean diurnal pattern of the energy balance fluxes for the observation period, with standard deviations, is shown in Figure 7. It is useful to consider the variability between individual observation periods to determine the consistency of the mean results. The variability can be compared to the data stratified by wind régimes in Figure 8. Only on rare occasions is the nocturnal QH negative, although there is variability from day to day of the order of 100 W m−2. As expected, the daytime variability is greater.

[33] The turbulent source area characteristics change with both meteorology and the height of the instrumentation. The roofs and impervious surfaces are always the predominant fractions of the source area (Figure 8) but the role of the water in the old port changes with wind conditions (see Figure 10 of Lemonsu et al. [2004a]). Under mistral conditions the water fraction is larger than the vegetation fraction (Figure 8). The “other” days are characterized as being the least influenced by the presence of the port. It should be noted that the radiative source areas also change with the tower position. However, the U1 and D1 L↑ values (Figure 5) are similar despite the FOV changes of the radiometer. The temperature close to the surface (from temperature profile measurements) is cooler in all periods under mistral conditions compared with other days and the temperature profile gradient is also much smaller (see also section 3.8).

[34] Comparison of the flux partitioning according to wind régimes shows, that during morning hours the partitioning between turbulent and conductive sensible heat differs. Under mistral conditions QH is larger than ΔQS, whereas for the other two régimes their size is more similar. The ΔQS/Q* and QE/Q* ratios show the reverse relative ordering by wind régime, with the mistral conditions having the larger QE/Q* fraction. Bowen ratio (β = QH/QE) values are similar, but because QE is small relative to QH there is a lot of variability on an hour-to-hour basis between wind régimes (Figure 8). On a diurnal basis, under mistral conditions the greatest difference is in the increased QE/Q* which results in a smaller β. This is in agreement with the increased presence of water in the source area, which unlike the vegetation has no restriction on evaporation. The reduced daytime ΔQS/Q* and the continued large QH and QE during the night result in the net loss of ΔQS under mistral conditions.

3.5. Short-Term Variability in Water and Carbon Dioxide

[35] Sources and sinks of water and carbon dioxide in urban environments are always patchy. In Marseille this is particularly true: the sparse vegetation (Figure 1), which is a source of water and a sink of carbon dioxide, largely exists in courtyards except for one boulevard, and the primary source of carbon dioxide is traffic, which is largely restricted to the network of streets. In previous studies of the latent heat flux in cities using eddy covariance techniques, the fluxes have been noted to be variable over short periods [Grimmond and Oke, 1995; Grimmond and Oke, 2002].

[36] When the Marseille data are viewed in detail, sudden short-term excursions both positive and negative in the signal, away from and toward the surface, respectively, occur in both water vapor and carbon dioxide fluxes at a variety of timescales (5, 10, 15, 30 and 60 min averaging times) throughout the data set. These excursions occur in data from both levels, with some coincidence in the timing at different heights and in more than one scalar variable. In many instances the anomalies in fluxes evident at longer time periods are traceable back to such excursions at the 5-min scale; therefore the 5-min fluxes were analyzed in more detail. In order to isolate these values objectively from the data set, cutoff values of ±250 W m−2 were chosen for water vapor fluxes and ±50 μmol m−2 s−1 for carbon dioxide fluxes. Spikes due to sensor malfunction are excluded.

[37] The excursions frequently coincide with marked jumps in mean concentration of the scalar, suggesting that they may be an inadvertent product of the Reynolds averaging process rather than being a true peak in the flux. To test this hypothesis, jumps in concentration were identified on the basis of cutoff values of 0.5 g m−3 for water vapor and 0.25 mmol m−3 for carbon dioxide (Table 6). Although there were more excursions in water vapor concentration than in water vapor flux, more than 90% of the flux spikes can be attributed to this phenomenon. More than 70% of the excursions in the carbon dioxide flux (FCO2) coincided with jumps in mean carbon dioxide concentration.

Table 6. Total Number of Excursions in the 60 min Mean Concentration Data by Level by Wind Régime
 Number of 60 min Periods With Excursions
H2O ConcentrationsCO2 Concentrations
OtherMistralSea BreezeOtherMistralSea Breeze
L130710611180
L23471277369

[38] These findings suggest that the nonstationarity associated with abrupt discontinuities in the air mass characteristics at the site may be a significant causal factor in the incidence of spikes in the respective fluxes. As noted earlier, winds at this site were highly polarized along the SE-NW axis during the observation period, with mistral flow dominating NW flows. Given the coastal location of Marseille we might expect to see quite different air mass characteristics with wind direction.

[39] Our results indicate that for water vapor there is an increased probability for jumps in concentration when winds are from the SW and NE sectors. The corresponding weighted distribution of carbon dioxide jumps shows that spikes occur most with flow from the N and NNE sectors. These are ratios of small numbers in most instances. The main NW-SE wind direction axis is almost free of excursions. This may be attributable to the spatial and temporal consistency of the mistral wind and the enhanced mixing from this direction.

3.6. Variability of Turbulent Fluxes With Surface Cover

[40] The influence of surface properties on the turbulent heat flux partitioning can be evaluated using the Schmid [1994] 2-D FSAM source area model to determine source area properties influencing the flux observations at any given time (see section 2.2.2). One index of surface cover shown to be to be related to flux partitioning, specifically the Bowen ratio, is the fraction of the surface irrigated [see Grimmond and Oke, 2002]. Figure 9 shows the Bowen ratio and the corresponding mean vegetation fraction using data from the 4-hour period centered on solar noon. The midday mean Bowen ratio of 5.5 (D1) is associated with source areas that are on average 11% vegetated (+9% water). For U1 the mean midday Bowen ratio is 3.8 associated with 14% vegetation (<1% water). The Marseille data conveniently occupy a gap in the relation and show similar variability from day-to-day to that at other sites. The average value (solid symbol) for the data for each level are close to what is predicted on the basis of Grimmond and Oke [2002]. This suggests that the LUMPS approach to parameterizing the turbulent heat flux partitioning is probably valid in this high-density urban area.

Figure 9.

Bowen ratio versus vegetation plus water fraction for midday period. The line and solid black circles are data from Grimmond and Oke [2002] (see their Figure 5b). The open symbols are the individual days, and the solid symbols are the average for the observations.

3.7. Carbon Dioxide Fluxes

[41] In comparison to other environments, in particular forests [Baldocchi et al., 2001], there are relatively few observations of carbon dioxide fluxes (FCO2) from urban sites. Those published include data for a suburban/commercial area of Chicago [Grimmond et al., 2002a], the city core of Edinburgh [Nemitz et al., 2002], and residential areas of Copenhagen [Soegaard and Moller-Jensen, 2003], Tokyo [Moriwaki and Kanda, 2004], and Basel [Vogt et al., 2004]. In most of these cases, as with Marseille, the sites are in areas with little vegetation and heavy traffic.

[42] The observed FCO2 for Marseille indicates that the central area of the city acts as a source of CO2 (Figure 10). Since these measurements were taken close to the peak of the growing season, they suggest that the central city core will be a source of carbon dioxide throughout the year. The diurnal pattern of FCO2 reveals the impact of the daily traffic cycle on emissions. In the midafternoon, 1400–1600 LT, FCO2 is reduced, probably because of a reduction in traffic, and small uptake by vegetation (Figure 10), then increases again between 1700 and 2000 LT. The morning peak is larger than the afternoon peak. In the period between 0400 and 0600 LT there is almost a zero flux. This is a time when human activities are at a minimum and given the relatively small area of vegetation in the source area plant respiration is also low.

Figure 10.

Mean diurnal pattern of FCO2 by level for the observation period (open symbols) with standard deviations. Solid symbols mean for periods when σCO2 < 0.2 mmol m−3. In both cases, N had to be greater than 5 for an individual hour to be plotted.

[43] The magnitude of the average FCO2 and the diurnal pattern reported in this study are comparable to those reported from the other studies of central urban sites (in Edinburgh, mean values of 22 μmol m−2 s−1 are reported, and in Basel, values typically range from 10 to 20 μmol m−2 s−1, with peak values of 30 μmol m−2 s−1) and approximately twice the magnitude of the average values reported in a more residential, heavily treed neighborhood of Chicago [Grimmond et al., 2002b]. In all the cities peak values, as in Marseille, are associated with rush hour traffic.

[44] Like the case of QH, the average fluxes are very similar when the tower is extended (U1, U2), except for periods when σCO2 is very large. The solid data symbols in Figure 10 are the mean when σCO2 < 0.2 mmol m−3. Some of the apparent dips in the diurnal cycle, especially for the U data, are caused by a few large departures from the mean. When the tower is in the D position there is greater difference between the two levels. This highlights, again, the importance of the measurement height in local-scale flux comparisons.

3.8. Stability Conditions

[45] Given the relatively small number of observational studies of turbulence in urban areas, and the importance of this information to predicting dispersion behavior and selecting appropriate coefficients (for example, for wind profile related functions), it is important to know the mean stability conditions in an urban environment such as Marseille, plus the variability of stability and probability of these conditions occurring. It is common practice in air pollution dispersion calculations to assume that urban atmospheres tend to remain unstable or neutral at night, rather than becoming stable as in the rural case. Direct evidence of this fact is sparse however, prompting calls by the dispersion and diffusion communities to document these stability properties [Dabberdt et al., 2004].

[46] The Obukhov stability length (L) was calculated for each measurement level for each time period. Overall, less than 1% of the data at each level were stable (z′/L ≥ 0.1). The conditions are frequently (85%) unstable (z′/L < −0.1) at levels U1 and U2. At the D1 and D2 levels, >60% of the data are close to neutral ∣z′/L ≤ 0.1∣ otherwise conditions are unstable. In comparison, <15% are close to neutral ∣z′/L ≤ 0.1∣ for the U1 and U2. The mean generally indicates more unstable conditions than the median (50th percentile) (Figure 11). On the basis of air temperature profile data on the CAA mast, the temperature gradient is close to neutral throughout the nocturnal period under mistral conditions. On the other hand, for the remaining days it remains unstable until ∼0400 LT and then becomes slightly stable until ∼0700 LT. The results are similar between levels (U1 and U2 versus D1 and D2), which suggests the importance of studying a wide range of meteorological conditions in urban settings. Because of lower wind speeds the surface layer is often more unstable at night than in the daytime. Similar results between measurement levels suggest that this is spatially well averaged and consistent with the release of heat stored in the urban fabric

Figure 11.

Diurnal pattern of stability by level (U1, U2, D1, and D2). Mean, standard deviation, and 10th, 25th, 50th, 75th, and 90th percentiles are shown.

3.9. Variability of Turbulence Characteristics

[47] Roth [2000] provided a comprehensive historical review of the atmospheric turbulence data collected in urban areas. He notes the relatively small amount of data available for his synthesis. There is need to expand the data available to test the universality of both theoretical and empirical relations. Roth [2000] reworked the original data into a common framework and used it to develop statistical relations. Here we compare Roth's relations with the data collected in Marseille. The data from all four levels are used. As with Roth [2000] the synthesis involves a series of normalizations wherein the height of measurement is expressed relative to the size of the roughness elements. By collapsing the height scale, comparison with other urban sites becomes possible (see section 2 for notation definitions). Here neutral conditions are defined as ∣z′/L∣ ≤ 0.1.

[48] In many circumstances the drag coefficient (CD0.5 = u*/U, where u* is friction velocity and U is the mean wind speed) is used instead of the roughness length for momentum to describe the role of surface roughness on the turbulence and wind fields. In Marseille under neutral conditions the data fall close to the line that expresses the log law wind profile (Figure 12). In this plot the mean roughness length to one significant figure is used rather than a fit to the log law for the individual directions. This result is similar to that found at Sapporo (S92) (see Figure 1 of Roth [2000]). The data fall to the right of the line predicted by Roth [2000]. Given the other results lie to the left of the line it suggests that his equation (5) is applicable to this type of dense urban core for determination of the drag coefficient (Figure 12).

Figure 12.

Variation of u*/U for neutral conditions with nondimensional heights (left) z′/z0 and (right) zs/zH. Mean and standard deviation are shown for a normalized height and direction data. Line in left panel is based on log profile, and line in right panel is based on Roth [2000, equation (5)] (u*/U = 0.094 + 0.353 exp [−0.946(zs/zH)]). Squares are data from this study, and crosses are data reported by Roth [2000, Figure 1].

[49] In many dispersion applications it is necessary to specify the standard deviations of the wind velocities (σi). The normalized velocity standard deviations (Ai = σi/u* where i = u, v, w) for longitudinal (u), lateral (v) and vertical (w) wind velocities were determined for neutral conditions. The Au value are scattered around 2.40; Av shows the greatest variability and is centered around 1.93, whereas Aw is the least variable with an overall mean of 1.22. In all cases, these are slightly less than the mean values suggested by Roth [2000] for zs/zH < 2.5, but are within the limits suggested by Panofsky and Dutton [1984]. Figure 13 shows the variation of Ai with increasing instability. The best fit using the empirical relation of Roth [2000, equation (6b)] is for the more unstable portion of Au. With increasing instability each set of Marseille data approaches the 1/3 slope predicted by Monin-Obukhov similarity. The D2 data, which show the greatest scatter, are still similar to that given by Roth [2000, Figure 4] when using smaller zs/zH data sets.

Figure 13.

Variation of (top) Au = σu/u*, (middle) Av = σv/u*, and (bottom) Aw = σw/u* with unstable stability (logarithmic scale) with Roth [2000, Figure 4] data. Mean and standard deviation are shown for each level binned by stability. Dotted, blue lines and solid, red lines are from Roth [2000, equation (6b)] using his Table 5 zs/zH > 2.5 and all coefficients, respectively. The 1/3 slope is also shown.

[50] Figure 14 shows the turbulence intensities (Ii = σi/U where i = u, v, w) for neutral conditions. The lines are based on theory [Roth, 2000, equation (8)]

equation image

and Roth's empirical fit to the available data (his equation (9)) (right). Both lines are generally good descriptions of the Marseille data, with the Iu data having the least scatter. When turbulent intensities, Ii, are plotted relative to stability, Roth found considerable scatter, with almost all of the data falling above the Monin-Obukhov similarity predictions. In Marseille this pattern is also evident (Figure 15) with the data following a trend of increasing Ii with increasing instability. In Marseille, there were not enough stable conditions to provide data points in that stability régime.

Figure 14.

Turbulence intensities (top) IU = σu/U, (middle) Iv = σv/U, and (bottom) Iw = σw/U for neutral conditions with nondimensional heights z′/z0 (left) and zs/zH (right). The lines in the left column are from Roth [2000] based on theory, his equation (8), and those in the right column are from his empirical equation (9), which has the form Ii = ai + bi exp [−ci(zs/zH)] with coefficients for u of ai = 0.259, bi = 0.582, and ci = 0.943; for v of 0.163, 0.391, and 0.563; and for w of 0.114, 0.226, and 0.634, respectively.

Figure 15.

Turbulence intensity with stability with Roth [2000, Figure 8] data.

[51] The Marseille data have larger Ii values than the V89 and S76 data plotted by Roth [2000]. Probably this is to be expected given the larger roughness in Marseille compared to the Vancouver and St Louis sites. The Zurich data (Z86) used by Roth, which is more similar in roughness characteristics to Marseille, had more comparable values, but the Z86 data are for a more restricted range of stability conditions.

4. Conclusions

[52] These data from the city core of Marseille help to fill a gap in our understanding of surface energy balance fluxes and turbulence data in cities. The combination of wind and surface properties creates an interesting range of conditions in which to conduct observations. It is clear from the analysis that care is needed when stratifying and averaging data from such sites. Here the height of measurement, wind direction, and the surface character associated with these observations were all considered. The surface energy balance partitioning is largely as expected, with large turbulent sensible heat fluxes dominating the daytime. Under the three different wind régimes considered here the fluxes vary most in the morning. The small amount of vegetation present plays a more influential role after solar noon by generating small but significant latent heat fluxes and reduced carbon dioxide fluxes. Mistral winds act to reduce concentrations of pollutants in the urban atmosphere, which in turn results in increased net all-wave radiation and increased sensible heat flux. The Bowen ratio for this site falls close to that predicted by the Grimmond and Oke [2002] relation on the basis of the fraction of the surface covered by vegetation.

[53] The Marseille data provide much needed information on the stability conditions in central city environments. They also allow comparison with the synthesis of turbulence data for urban areas forwarded by Roth [2000]. In general, the Marseille data provide support for the empirical functions proposed by Roth. In cases, such as the relation of turbulence intensity with stability, where there are few urban data available, the new results provide further confirmation of the impact of dense urban areas on turbulent behavior.

Acknowledgments

[54] Funding for this project was provided by the National Science Foundation (BCS-0095284), Météo-France, ESCOMPTE, NSERC, and CFCAS (GR022). The project UBL/CLU-ESCOMPTE is funded by the CNRS programs for remote sensing from space (PNTS) and atmospheric dynamics (PATOM). We would like to thank the Cour Administrative d'Appel for providing the site and V. Anderson, B. Crawford, F. Cropley, M. Irvine, P. Jackson, J.-P. Lagouarde, V. Masson, J. Noilhan, S. Roberts, S. Scott, C. Souch, J. Voogt, and C. Walsh for their help in the field, with the preparation of equipment, and/or with data analyses. Information for the development of the surface database was provided by D. Groleau, N. Long, and M. A. Velay-Dabat. Paul Sabatier University (Toulouse, France) and CNRM provided funding for A.L.'s stay at Indiana University. We acknowledge helpful discussions with M. Kanda and D. Sailor regarding the role of anthropogenic heat in the energy balance.

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