Improvement of a soil-atmosphere-transfer model for the simulation of bare soil surface energy balances in semiarid areas

A soil-atmosphere-transfer model (SATM) was evaluated using observational data from the Tongyu Cropland Station and Audubon Research Ranch in semiarid areas, where the land cover was nearly bare soil during the simulation period. Simulations by the SATM at both sites were conducted using the new and original surface thermal roughness length parameterization schemes, respectively. Comparisons of simulations and observations have demonstrated that using the new surface thermal roughness length scheme in this model made sound improvements in the simulation of soil surface temperatures, sensible heat fluxes and net radiation fluxes in the daytime at both sites, compared to the original scheme, because the new scheme produced a larger aerodynamic resistance for turbulent heat transfer in the daytime. With respect to latent heat fluxes, the improvement was not as obvious as that attained for soil surface temperature since the soil water content in the surface layer in a semiarid area is a more important factor than surface soil temperature in controlling evaporation rate. Accordingly, it can be concluded that the new surface thermal roughness length parameterization scheme could improve the ability of the SATM to simulate bare soil surface energy budget with latent heat flux component being innegligible in semiarid areas.     

基于陆面模式Noah-MP的不同参数化方案在半干旱区的适用性

针对陆面模式Noah-MP对兰州大学半干旱气候与环境观测站（SACOL）2009年8月地表热通量模拟值偏差大的问题,通过分析相关物理过程和模拟试验来探究偏差的来源,并确定合适的参数化方案:采用Chen97方案计算感热输送系数可以改善感热通量的模拟;采用Jarvis气孔阻抗方案能增大植被蒸腾,改进模式对潜热通量的模拟效果,同时也使热通量在感热和潜热间的分配比例合理;采用LP92方案可减小土壤蒸发阻抗并有利于土壤蒸发,使得模式对潜热通量的模拟效果变好。不同参数化方案的组合试验表明:同时采用2组或3组新的参数化方案组合可以进一步减小模拟的地表感热和潜热通量的均方根误差,但是土壤湿度和温度的模拟效果并没有同步改善。     

Implementation of a Stable PBL Turbulence Parameterization for the Mesoscale Model MM5: Nocturnal Flow in Complex Terrain

The difficulties associated with the parameterization of turbulence in the stable nocturnal planetary boundary layer (PBL) have been a great challenge for the nighttime predictions from mesoscale meteorological models such as MM5. As such, there is a general consensus on the need for better stable boundary-layer parameterizations. To this end, two new turbulence parameterizations based on the measurements of the Vertical Transport and Mixing (VTMX) field campaign were implemented and evaluated in MM5. A unique aspect of this parameterization is the use of a stability-dependent turbulent Prandtl number that allows momentum to be transported by the internal waves, while heat diffusion is impeded by the stratification. This improvement alleviates the problem of over-prediction of heat diffusion under stable conditions, which is a characteristic of conventional atmospheric boundary-layer schemes, such as the Medium Range Forecast (MRF) and Blackadar schemes employed in MM5. The predictions made with the new PBL scheme for the complex terrain airshed of Salt Lake City were compared with those made with a default scheme of MM5, and with observations made during the VTMX campaign. The new schemes showed an improvement in predictions, particularly for the nocturnal near-surface temperature. Surface wind predictions also improved slightly, but not to the extent of temperature predictions. The default MRF scheme showed a significantly higher surface temperature than observed, which could be attributed to the enhanced vertical heat exchange brought about by its turbulence parameterization. The modified parameterizations reduced the surface sensible heat flux, thus enhancing the strength of the near-surface inversion and lowering the temperature towards the observed values.     

城市近地层湍流通量及CO2通量变化特征

利用北京325m气象塔47m高度上2006年全年连续观测获得的湍流资料,分析了北京城市近地层动量通量、感热通量、潜热通量和CO2通量的典型日变化、月平均日变化和季节变化特征。分析结果显示:动量通量具有明显的单波峰日变化特征,在15时(北京时间)左右达到最大,季节变化中春季最大,冬季次之,夏、秋季最小;感热通量和潜热通量全年变化范围分别为-92～389W.m-2和-75～376W.m-2,其日变化也表现为单波峰特征。感热通量的日变化受城市下垫面和人为热源影响,入夜后虽然降为负值,但只略小于0。阴雨天感热通量和潜热通量均很小,降雨前后有明显区别。感热和潜热最大值分别在春季3月和夏季6月,最小值都在冬季1月;城市下垫面CO2通量总表现为正值,即净排放,最大值为3.88mg.m-2.s-1,不稳定情况下最小值小于-2mg.m-2.s-1。受到人类活动的影响,CO2通量的日变化特征在工作日与周末有明显区别;由于冬季采暖,CO2通量明显大于夏季;在夜间,CO2通量受进城车辆的影响也出现高值。     

Evaluation of the profile and the resistance method for estimation of surface fluxes of momentum,sensible and latent heat

Summary Hourly lysimetric and micrometeorological data taken over a grass surface at the Meteorological Research Unit, Cardington U.K. have been analysed. A temperature difference and measurements of wind speed at only one height, combined with an independently estimated effective roughness length allowed sensible heat and momentum fluxes determination by the profile method on an hourly basis. The estimates are compared with direct measurements of sensible heat and friction velocity obtained by the eddy correlation method. The sensible and latent heat fluxes are also modelled by the resistance method. Equations based on the Monin—Obukhov similarity theory are used to account for stability effects through various forms of parameterization Aerodynamic and surface resistances, necessary for the Penman—Monteith equation are calculated from routinely measured meteorological data. The profile method for estimation of sensible heat flux and friction velocity is found to work excellently on the discussed daytime experimental data which correspond mainly to near neutral or slightly unstable conditions.Surface latent and sensible heat fluxes can also be described very well by the resistance method. A slightly better estimate of the sensible heat flux is achieved when stability corrections are taken into account. On the contrary Penman-Monteith equation for estimating latent heat flux is insensitive to adjustments for atmospheric stability.The comparison of the various methods leads to the establishment of empirical relationships which correlate various quantities such as soil heat flux, resistances, evapotranspiration etc. to routinely measured meteorological data.With 8 Figures     

关于用台站资料估算西北干旱区夏季感热通量的热力参数化比较

气象台站观测的气象要素可能受城市化等因子的影响而与野外试验站的观测存在一定的差异,这影响野外试验获取的热力参数直接应用于西北干旱区台站感热通量的估算。本文选取了一些常用的热力参数化方案(包括Z10、B82、Z98、Y08和Z12等方案),通过敦煌站夏季估算的感热通量与野外观测的比较以及对整个西北干旱区夏季感热通量的估算,评价了这些热力参数化对动量粗糙度的敏感性和在西北干旱区的适用性。结果显示,热力输送系数取定值的方案计算西北干旱区的感热通量可能存在较大不确定;台站的动量粗糙度可能受城市化等因子的影响,但在感热通量计算时建议取台站下垫面的动量粗糙度;Y08方案估算的感热通量相对比较合理,可以用来研究西北干旱区的夏季地表感热输送特征。     

西南季风爆发前后大理近地层风场及湍流通量的变化特征

利用2008年4~5月大理国家气候观象台近地面层观测系统的梯度、涡动相关通量观测资料,结合背景场环流分析,分析了西南季风爆发前后大理近地面层的风速、风向变化特征、风速廓线和垂直切变变化特征以及动量、感热和潜热通量变化特征。结果显示:西南季风爆发前,大理近地层风向以东南风为主,平均风速较大;风速日变化的双峰型特征较显著,风速的垂直切变大,动量通量数值较大且日变化特征较明显。西南季风爆发后,大理近地层西北风频率显著增加,平均风速减小;风速日变化以单锋型为主,风速垂直切变较前期显著减小,动量通量数值减小而日变化特征较不显著。西南季风开始前后大理地气热量交换都以潜热为主,西南季风开始前一旬期间,潜热通量的逐日变化特点是随时间逐渐减少,感热通量逐渐增大,二者差值逐渐减小;西南季风开始后潜热通量的逐日变化为逐渐增大而感热通量逐渐减少,二者差值逐渐增大。就月平均值的日变化而言,潜热通量峰值变化不大,雨季略低于干季的4月;感热通量4~6月的月平均逐月降低。其原因既与雨季天气的变化有关,也与下垫面状况的改变相联系。     

根系吸水过程参数化方案对青藏高原陆面过程模拟的影响研究

根系吸水过程对地表能量平衡和水循环起着重要作用，目前不同的根系吸水过程参数化方案对青藏高原陆面过程模拟的影响尚不明确，探讨相关参数化方案的影响，可以为今后建立陆面过程模式根系参数化方案提供参考。本文利用2010年6月1日至9月30日青藏高原玛曲站的观测资料作为大气强迫资料，驱动BCC_AVIM模式（北京气候中心陆面模式）引入不同的根系吸水过程参数化方案，对玛曲站2010年6月1日至9月30日时段感热通量、潜热通量、土壤温度、土壤含水量等要素进行数值模拟，分析根系吸水过程参数化方案对青藏高原地区陆面过程的影响。模式中有关根系吸水过程的参数化方案主要分为根分布模型和土壤水分对根系有效性函数两类，根分布模型用Jackson方案、Schenk方案替换，土壤水分对根系有效性函数用Li方案、LSM1.0方案、CLM4.5方案替换。对比结果表明:不同的根系吸水过程参数化方案对土壤温度、土壤含水量的模拟影响较小，对感热通量、潜热通量模拟影响较大，尤其对冠层蒸腾量模拟差异显著，相关参数化方案的变动直接影响冠层蒸腾量。两类方案模拟的差异受降水的影响，在多雨期，根分布对比方案与原模式方案模拟的感热、潜热通量间存在较大差异；在少雨期，土壤水分对根系有效性函数对比方案与原模式方案模拟的感热、潜热通量间存在较大差异。     

The role of wintertime radiation in maintaining and destroying stable layers

Summary Strong stable layers are a common occurrence during western Colorado's winter. Analysis of radiosonde observations indicate wintertime boundary layer heights are near 500 m. The terrain in this region consists of mountains that rise approximately 1500–2000 m above the ground to the east, providing an effective blocking barrier. An experiment is described to observe upwelling and downwelling, longwave and shortwave radiative fluxes at two sites in western Colorado during January and February 1992, for combinations of clear, cloudy, snow covered, and bare ground periods. Analysis of the observations and the surface energy budget for typical Bowen ratios provides a better understanding of the role of radiation in maintaining and destroying stable layers.During the day, the surface received a net gain of energy from radiation, while at night there was a net loss. Over snow, the 24-hour net radiative flux was small and either positive or negative. Over bare soil, the 24-hour net radiative flux was positive but still small. There is little difference in the net radiative flux between clear and cloudy days; the reduction of the incident solar flux by clouds is nearly compensated by the hindering of the longwave cooling. The cumulative effects of the 24-hour net radiative flux were negative over snow early in the experiment. The 24-hour values shifted to near zero as the snow albedo decreased and were positive for bare ground.If the daytime net radiative flux is partitioned into sensible and latent heat flux using typical Bowen ratios, the daytime sensible heat available for destroying boundary layers is small for the low solar angles of the winter season. With a Bowen ratio of 0.5, the daytime sensible heat flux available is only 0.3 to 1.2 MJ m^–2 over a snow surface and 1.4 to 2.3 MJ m^–2 over soil. These heat fluxes will not build a deep enough boundary layer to break a typical wintertime inversion. The 24-hour sensible heat flux was negative at both sites for the entire experiment with this Bowen ratio.The radiation observations and the use of typical Bowen ratios lead to the conclusion that the net radiation will sustain or strengthen a stable atmosphere in the winter season in western Colorado. Analysis of the radiosonde observations confirm this result as the boundary layer depths were less than 500 m early in the experiment and grew to only 700 m later in the experiment.With 12 Figures     

Impact of Eddy Characteristics on Turbulent Heat and Momentum Fluxes in the Urban Roughness Sublayer

Eddy-covariance observations above the densely built-up Centre of Nanjing were made from December 2011 to August 2012. Separate eddy-covariance systems installed at two levels on a 36-m tower located on a rooftop were operated simultaneously, and observations grouped into two sectors (A, B) according to the prevalent wind directions. For sector A, where the nearby buildings are all below the lower measurement level, the sensible heat and momentum fluxes are generally greater at the upper level. For sector B, where several high-rise buildings are located upwind, the sensible heat and momentum fluxes at the upper level are close to those at the lower level. The analysis shows that the turbulent eddy characteristics differ between the two wind sectors, leading to a different behaviour of turbulent exchange between the two levels. A hypothesis is proposed that addresses the vertical variation of turbulent fluxes in the urban roughness sublayer (RSL). For sector A, the buildings block the flow, change the trajectory of scalars, and distort the footprint of scalar fluxes; this ‘blocking effect’ is believed to lead to a smaller sensible heat flux above the canopy layer. Such an effect should decrease with height in the RSL, explaining the increase of the observed turbulent heat flux with height. In addition, the presence of non-uniform building heights adversely affects turbulence organization around the canopy top, and likely elevates the inflection point of the mean flow to a higher elevation close to the upper measurement level, where larger shear results in a larger momentum flux. For sector B, wake effects from the nearby high-rise buildings strongly reduce turbulence organization at higher elevations, leading to similar sensible heat and momentum fluxes at both measurement levels.     

南疆沙漠腹地大气边界层湍流通量特征的观测研究

利用新疆塔中站2006年4月、8月的三维风速。温度和水汽脉动资料,运用涡旋相关法计算得到了春、夏季塔中10m高度的动量、感热和潜热通量。结果表明,塔中地区地表热量输送以感热输送为主。春季每天的最大感热通量变化范围为120—320W·m^-2,月平均值为220W·m^-2;夏季最大感热通量的变化范围为140—340W·m^-2,月平均值为230W·m^-2。感热通量值在夜间为负,白天为正,符号的改变出现在日出、日落前后。夏季潜热通量最大值一般为20—60W·m^-2,平均值为27W·m^-2,潜热通量比感热通量小一个量级。春季动量通量的平均值为-0．063W·m^-2,夏季动量通量的平均值为-0．091W·m^-2。日变化规律比较明显,日出后,动量向下传输增大,在09-10时（地方时）出现一个最大值,随后动量向下传输并开始减小。     

中国西北干旱区戈壁下垫面夏季的热力输送

以敦煌戈壁站2004年6月和2008年8月的常规观测和超声观测为例,分析了西北干旱区戈壁下垫面夏季热力输送的一般过程及特征。首先评价了湍流通量的观测质量以及仪器观测的地表能量通量闭合问题,结果表明敦煌戈壁站的观测在白天总体较好。夏季地表能量通量的平均日变化显示,潜热通量整天都很小,可以忽略,白天到达地表的短波辐射以及地表向上的长波辐射非常强,地表净辐射主要转化为感热输送（敦煌戈壁站在中午时平均分别达380W·m-2以上和250W·m-2以上）;夜间土壤释放热量以平衡地表的辐射冷却,感热通量略低于0。白天时地表大气经常触发自由对流活动,影响动量通量的观测质量,并有效输送地表热力至上层大气中,有助于形成超厚大气边界层。分析了戈壁下垫面的动量粗糙度特征和热力粗糙度特征（敦煌戈壁站动量粗糙度约为0．6mm）,热力粗糙度基本小于动量粗糙度一个量级,这符合目前对干旱区戈壁下垫面热力输送特征的初步认识。     

Regional Fluxes Of Momentum And Sensible Heat Over A Sub-Arctic Landscape During Late Winter

Based on measurements at Sodankylä Meteorological Observatory the regional (aggregated) momentum and sensible heat fluxes are estimated for two days over a site in Finnish Lapland during late winter. The forest covers 49% of the area. The study shows that the forest dominates and controls the regional fluxes of momentum and sensible heat in different ways. The regional momentum flux is found to be 10–20% smaller than the measured momentum flux over the forest, and the regional sensible heat flux is estimated to be 30–50% of the values measured over a coniferous forest.The regional momentum flux is determined in two ways, both based on blending height theory. One is a parameterised method, the other represents a numerical solution of an aggregation model. The regional sensible heat flux is determined from the theory of mixed-layer growth. At near neutral conditions the regional momentum flux can be determined independently of the regional sensible heat flux. At unstable conditions the two models become coupled.The information that is needed by the parameterised blending height method and by the mixed-layer evolution method in order to derive the regional fluxes of momentum and sensible heat can be obtained from radiosonde profiles of wind speed and temperature.     

Analysis of the Seasonal Cycle Within the First International Urban Land-Surface Model Comparison

A number of urban land-surface models have been developed in recent years to satisfy the growing requirements for urban weather and climate interactions and prediction. These models vary considerably in their complexity and the processes that they represent. Although the models have been evaluated, the observational datasets have typically been of short duration and so are not suitable to assess the performance over the seasonal cycle. The First International Urban Land-Surface Model comparison used an observational dataset that spanned a period greater than a year, which enables an analysis over the seasonal cycle, whilst the variety of models that took part in the comparison allows the analysis to include a full range of model complexity. The results show that, in general, urban models do capture the seasonal cycle for each of the surface fluxes, but have larger errors in the summer months than in the winter. The net all-wave radiation has the smallest errors at all times of the year but with a negative bias. The latent heat flux and the net storage heat flux are also underestimated, whereas the sensible heat flux generally has a positive bias throughout the seasonal cycle. A representation of vegetation is a necessary, but not sufficient, condition for modelling the latent heat flux and associated sensible heat flux at all times of the year. Models that include a temporal variation in anthropogenic heat flux show some increased skill in the sensible heat flux at night during the winter, although their daytime values are consistently overestimated at all times of the year. Models that use the net all-wave radiation to determine the net storage heat flux have the best agreement with observed values of this flux during the daytime in summer, but perform worse during the winter months. The latter could result from a bias of summer periods in the observational datasets used to derive the relations with net all-wave radiation. Apart from these models, all of the other model categories considered in the analysis result in a mean net storage heat flux that is close to zero throughout the seasonal cycle, which is not seen in the observations. Models with a simple treatment of the physical processes generally perform at least as well as models with greater complexity.     

A note on surface layer parameterizations in the weather research and forecast model

Two surface layer parameterization schemes along with five planetary boundary layer (PBL) schemes in the Weather Research and Forecasting model (WRF) are analyzed in order to evaluate the performance of the WRF model in simulating the surface variables and turbulent fluxes over an Indian sub-continent region. These surface layer schemes are based on the fifth-generation Pennsylvania State University—National Center for Atmospheric Research Mesoscale Model (MM5) parameterization; (a) Old MM5 scheme having Businger-Dyer similarity functions and (b) revised MM5 scheme utilizing the functions that are valid for full ranges of atmospheric stabilities. The study suggests that each PBL scheme can reproduce the diurnal variation of 2 m temperature, momentum flux and sensible heat flux irrespective of the surface layer scheme used for the simulations. However, a comparison of model-simulated values of surface variables and turbulent fluxes with observed values suggests that each PBL scheme is found to systematically over-estimate the nocturnal 2 m temperature and 10 m wind speed with both the revised and old schemes during stable conditions.     

耦合不同陆面方案的WRF模式对“8.8”舟曲暴雨过程的模拟

利用NCEP每6 h一次的1°×1°格点资料和中尺度模式WRF(V3.2),选用不同的陆面参数化方案,对2010年8月7—8日发生在甘肃舟曲的一次西北地区特大暴雨天气过程进行数值模拟试验。结果表明,此次暴雨过程数值模拟的准确率对陆面参数化方案的选择比较敏感。在WRF模式中,耦合陆面方案比不耦合陆面方案对暴雨的模拟效果更好,耦合陆面方案所模拟的降水分布、地表通量以及地面气象要素都与实况更加接近。耦合不同的陆面方案模拟的降水以及感热通量、潜热通量都存在较大的差别,但是采用不同的陆面方案模拟的地表温度和水汽差别并不大。总体而言,采用PX陆面方案对降水的模拟效果比采用其他方案都合理,与实况最接近。     

Surface turbulent flux measurements over the Loess Plateau for a semi-arid climate change study

In order to provide high quality data for climate change studies, the data quality of turbulent flux measurements at the station of SACOL (Semi-Arid Climate & Environment Observatory of Lanzhou University), which is located on a semi-arid grassland over the Loess Plateau in China, has been analyzed in detail. The effects of different procedures of the flux corrections on CO₂, momentum, and latent and sensible heat fluxes were assessed. The result showed that coordinate rotation has a great influence on the momentum flux but little on scalar fluxes. For coordinate rotation using the planar fit method, different regression planes should be determined for different wind direction sectors due to the heterogeneous nature of the ground surface. Sonic temperature correction decreased the sensible heat flux by about 9%, while WPL correction (correction for density fluctuations) increased the latent heat flux by about 10%. WPL correction is also particularly important for CO₂ fluxes. Other procedures of flux corrections, such as the time delay correction and frequency response correction, do not significantly influence the turbulent fluxes. Furthermore, quality tests on stationarity and turbulence development conditions were discussed. Parameterizations of integral turbulent characteristics (ITC) were tested and a specific parameterization scheme was provided for SACOL. The ITC test on turbulence development conditions was suggested to be applied only for the vertical velocity. The combined results of the quality tests showed that about 62%–65% of the total data were of high quality for the latent heat flux and CO₂ flux, and as much as about 76% for the sensible heat flux. For the momentum flux, however, only about 35% of the data were of high quality.     

Further Development of the Vegetated Urban Canopy Model Including a Grass-Covered Surface Parametrization and Photosynthesis Effects

The vegetated urban canopy model (VUCM), which includes parametrizations of urban physical processes for artificial surfaces and vegetated areas in an integrated system, has been further developed by including physical processes associated with grass-covered surfaces in urban pervious surfaces and the photosynthesis effects of urban vegetation. Using measurements made from three urban/suburban sites during the BUBBLE field campaign in 2002, the model’s performance in modelling surface fluxes (momentum flux, net radiation, sensible and latent heat fluxes and storage heat flux) and canopy air conditions (canopy air temperature and specific humidity) was critically evaluated for the non-precipitation and the precipitation days. The observed surface fluxes at the urban/suburban sites were significantly altered by precipitation as well as urban vegetation. Especially, the storage heat at urban surfaces and underlying substrates varied drastically depending on weather conditions while having an important role in the formation of a nocturnal urban surface layer. Unlike the nighttime canopy air temperature that was largely affected by the storage-heat release, the daytime canopy air conditions were highly influenced by the vertical turbulent exchange with the overlying atmosphere. The VUCM well reproduced these observed features in surface fluxes and canopy air conditions at all sites while performing well for both the non-precipitation and the precipitation days. The newly implemented parametrizations clearly improved the model’s performance in the simulation of sensible and latent heat fluxes at the sites, more noticeably at the suburban site where the vegetated area fraction is the largest among the sites. Sensitivity analyses for model input parameters in VUCM elucidated the relative importance of the morphological, aerodynamic, hydrological and radiative/thermal properties in modelling urban surface fluxes and canopy air conditions for daytime and nighttime periods. These results suggest that the VUCM has great potential for urban atmospheric numerical modelling for a range of cities and weather conditions in addition to having a better physical basis in the representation of urban vegetated areas and associated physical processes.     

青藏高原不同地区夏季近地层能量输送与微气象特征比较分析

利用2009年7月在青藏高原理塘、林芝、海北、拉萨获得的气象观测资料,对比分析了这些地区近地层气象要素、辐射收支及湍流通量日变化特征。结果表明:无论是高原东部、中部还是北部,无论是高原台地还是高山峡谷区,7月份近地层各气象要素、湍流通量、辐射收支都有明显的日变化。各地区的地表辐射、感热、潜热等最高值都出现在中午,最低值出现在早晨。地表反照率日变化均呈早晚高中午低的“U”型分布。地面热源强度在白天均为热源,正午为强热源,在夜间表现为弱的冷、热源交替出现。7月份近地层地气热量交换中,感热输送作用小,潜热输送占主导地位。动量通量和摩擦速度均在风速较大的下午较大,风速小的早晨小。      

Heat Flux Apportionment to Heterogeneous Surfaces Using Flux Footprint Analysis

Heat flux data collected from the Baiyangdian Heterogeneous Field Experiment were analyzed using the footprint method. High resolution (25 m) Landsat-5 satellite imaging was used to determine the land cover as one of four surface types: farmland, lake, wetland, or village. Data from two observation sites in September 2005 were used. One site (Wangjiazhai) was characterized by highly heterogeneous surfaces in the central area of the Baiyangdian: lake/wetland. The other site (Xiongxian) was on land with more uniform surface cover. An improved Eulerian analytical flux footprint model was used to determine "source areas" of the heat fluxes measured at towers located at each site from surrounding landscapes of mixed surface types.In relative terms results show that wetland and lake areas generally contributed most to the observed heat flux at Wangjiazhai, while farmland contributed most at Xiongxian. Given the areal distribution of surface type contributions, calculations were made to obtain the magnitudes of the heat flux from lake, wetland and farmland to the total observed flux and apportioned contributions of each surface type to the sensible and latent heat fluxes. Results show that on average the sensible heat flux from wetland and farmland were comparable over the diurnal cycle, while the latent heat flux from farmland was somewhat larger by about 30-50 W m-2 during daytime. The latent and sensible fluxes from the lake source in daytime were about 50 W m-2 and 100 W m-2 less, respectively, than from wetland and farmland. The results are judged reasonable and serve to demonstrate the potential for flux apportionment over heterogeneous surfaces.