Estimation and Uncertainty Assessment of Surface Microclimate Indicators at Local Scale Using Airborne Infrared Thermography and Multispectral Imagery

A precise estimation and the characterization of the spatial variability of microclimate conditions (MCCs) are essential for risk assessment and site-specific management of vector-borne diseases and crop pests. The objective of this study was to estimate at local scale, and assess the uncertainties of Surface Microclimate Indicators (SMIs) derived from airborne infrared thermography and multispectral imaging. SMIs including Surface Temperature (ST) were estimated in southern Quebec, Canada. The formula‐ tion of their uncertainties was based on in-situ observations and the law of propaga‐ tion of uncertainty. SMIs showed strong local variability and intra-plot variability of MCCs in the study area. The ST values ranged from 290 K to 331 K. They varied more than 17 K on vegetable crop fields. The correlation between ST and in-situ observa‐ tions was very high (r = 0.99, p = 0.010). The uncertainty and the bias of ST compared to in-situ observations were 0.73 K and ±1.42 K respectively. This study demonstrated that very high spatial resolution multispectral imaging and infrared thermography present a good potential for the characterization of the MCCs that govern the abun‐ dance and the behavior of disease vectors and crop pests in a given area. analysis of the components of this uncertainty showed that it is strongly related to the NDVI and the temperature of the dry limit. The uncertainty of the TVDI increases with the NDVI, and it decreases with the temperature of the dry limit. Each of these two variables allows a full expression of the minimum and maximum uncertainty of the TVDI for a given percent vegetation cover. These results confirm those of Li et al. [21] who also report that the uncer‐ tainty of the TVDI increases with the NDVI and the approximation of the isolines. The TVDI showed that the intra-plot variability of surface moisture may be quite high on vegetable crop surfaces. Of two neighboring fields, the spatial extent of one can be mainly characterized by surface moisture conditions close to those of the wet limit while that of the other one can be mainly characterized by surface moisture conditions close to those of the dry limit. This reflects the high spatial variability of the agro-meteorological conditions that could influence the abundance of crop diseases and pests in the fields.


Introduction
Microclimates which are defined by agrometeorological conditions are key factors governing crop development and growth. They influence the abundance, development, and behavior of diseases and pests which can significantly reduce crop yield [1][2][3][4][5][6]. A regular use of pesticides for pest control can result, along with the risk to environmental and human health that pesticides pose. Microclimate variability induced by agrometeorological conditions represents around 80% of the variability of agricultural production [7]. These conditions are defined through variables such as the amount of vegetation, surface temperature, surface moisture, air temperature (AT), relative humidity (RH), solar radiation, evapotranspiration, wind speed and direction, rainfall, etc. Indicators such as percent vegetation cover (PVC) and leaf area index (LAI) [8,9], duration of leaf wetness [2,10], thermal units [11], degree days, vapor pressure deficit [7,11,12], potential evapotranspiration [13], water stress indices [12,14,15], drought indices [16], precipitation indices [17], etc., are related to these variables, and they are used to quantify and monitor agrometeorological and microclimate conditions on a given territory. They are also used to identify appropriate times in the management of various agricultural practices like sowing, irrigation, disease and pest screening, applying manure and pesticides, and harvesting. These variables and their related indicators are defined in this work as microclimate indicators (MCIs). MCIs, which are related to vegetation, temperature, and humidity levels, are considered critical indicators [18][19][20][21][22][23][24] and are used for the prediction and management of agricultural practices. They are the main input variables of models used to estimate other MCIs [2,7,25], models of growth and yield forecasting [25][26][27][28], models of disease and pest predictions [10,23,29], and models of climate prediction and adaptation to climate change [30,31].
Several MCIs are commonly observed using weather stations [18,32,33] or in situ sensors [28,34]. However, data from weather stations are point data that represent the specific conditions of the observing site. Their spatial representation on a larger area is not always valid [2,7] because of the spatial heterogeneity of landscape and microclimate conditions [35]. The low number of weather stations and their generally sparse geographical distribution does not often allow for the characterization of the spatial variability of a microclimate within a given area [18,32,33,36]. The cost and the maintenance of a more densified weather station networks to ensure better characterization of the spatial variability of microclimates is very high and could not be supported by the users [32]. In addition, meteorological data are often missing or erroneous in many parts of the world [7,34,36], which limits the application of simulation models [37,38] and the management of agricultural practices. Some MCIs are considered secondary variables and are not commonly observed by weather stations [7], and punctual observations are not appropriate because of their large spatial variability [29,39,40]. Compared to MCIs related to atmospheric conditions (air temperature, relative humidity), those related to surface conditions (surface microclimate indicators, SMIs) like vegetation amount, surface temperature (ST), surface moisture and leaf wetness duration are often not observed by weather stations [10,25,41]. These SMIs are more directly related to microclimate conditions which affect water status and crop growth as well as the abundance, behavior and development of crop pests and diseases. And, weather stations where these SMIs are actually observed frequently report missing or erroneous data due to equipment failure [25]. Punctual in situ observations over crop fields to address the lack of data on those SMIs are time and resource consuming, and they do not always result in a good characterization of their spatial variability [42]. Finally, for some of these SMIs, like leaf wetness, there is no commonly accepted standard for their measurement [2]. Due to all these limitations, weather station networks are not always able to meet the requirements for characterization of microclimate conditions in agriculture, or more specifically in precision agriculture and site-specific pest management [40]. This also concerns several other applications which require the characterization of the microclimate conditions.
While SMIs related to surface conditions are less frequently observed by weather stations, they are the primary variables derived from satellite images. Thus, the estimation of SMIs using satellite images overcomes the problem of sparse meteorological station networks and the nonavailability of meteorological data [18]. Some agricultural management programs are based on MCIs estimated by satellite images, where meteorological ground station data are not available [39]. These images offer a unique advantage for the estimation and the monitoring of microclimate conditions in the soil-vegetation-atmosphere interface over vast territories and at different spatial and temporal resolutions [43][44][45][46]. The spatial density of data derived from satellite images exceeds that of observations from weather stations. These data allow a better characterization of the spatial variability of microclimate conditions. Compared to point data acquired in fields, they are less costly in time and money [34]. Vegetation indices (VIs) derived from satellite images are used to estimate indicators of the amount of vegetation like percent vegetation cover (PVC) [8,9,47,48] and leaf area index (LAI) [28,[49][50][51]. The normalized difference vegetation index (NDVI) is the best known and most widely used VI [11,28,34,45,46,51,52]. It is used in many other applications including estimating biophysical variables such as photosynthetically active radiation (PAR) and evapotranspiration [53,54], monitoring crop growth and development [39,46,52], yield forecasting [55][56][57], and drought monitoring [16,34,58]. Surface temperature (ST) is a key variable to understanding and to characterizing heat and water exchanges between the surface and the atmosphere [20,59,60]. It can be estimated using several Earth observation systems like GOES, MSG/SEVIRI, NOAA/AVHRR, Terra, Aqua/MODIS, ASTER, and Landsat-8/TIRS. ST is used for the estimation of other MCIs such as air temperature [18] and evapotranspiration [37], for the detection of water deficits and the monitoring of drought conditions [16,61], and for risk assessment of the occurrence of diseases and pests [32]. For example, the temperature condition index (TCI), based on the ST derived from satellite images, is one of the most used to track drought conditions and their impact on regional and global scales [16]. Variations of surface moisture in the short and long term and its impact on vegetation can be monitored using stress indices based on ST and IVs derived from satellite images [56]. The TVDI is one of the most used indices to estimate surface moisture [21,24,62,63]. Chen et al. [64] used the TVDI estimated using MODIS images to characterize the spatial variability of surface moisture and to link it with rice farming systems in the Mekong Delta, Vietnam. Holzman et al. [56] also used the TVDI derived from MODIS images to estimate soil water availability and to assess crop yield at the regional scale. SMIs which are derived from satellite images have a good potential to be used in regional agrometeorological systems [35]. Several products related to surface temperature and to vegetation indices, such as those of MODIS, are also available in the form of time series. These products are frequently used to study climate and other dynamic phenomena in space and time [65]. However, applications of SMIs are limited either by the low spatial resolution or by the low temporal resolution of Earth observation systems which are used [60]. ST is derived from systems such as GOES and MSG/SEVIRI with a very high temporal resolution (15 min). However, these systems are characterized by a very low spatial resolution (3-5 km). Sensors like MODIS and AVHRR, which are mostly used to estimate surface temperature in many applications, are characterized by a high temporal resolution (1 day), but are associated with a low spatial resolution (1 km). Earth observation systems including Landsat-5/TM, Landsat-7/ ETM+, and Landsat-8/TIRS are those with the best spatial resolution in thermal bands (120, 60, and 100 m, respectively). However, they are limited by a very low temporal resolution (16 days). The low spatial resolution satellite images used to estimate SMIs often lead to mixed pixels that combine different elements like bare soil, vegetation, water, impervious surfaces, and clouds, especially in environments with a strong spatial heterogeneity [32,48,59,66]. These mixed pixels could lead to significant errors in the estimation of SMIs [32,66]. This low spatial resolution also makes it difficult to link data from satellite images and data collected in the field [45,48]. Moreover, the presence of clouds limits time series continuity [62]. That is even more problematic with low temporal resolution Earth observation systems.
Indicators such as ST are characterized by high spatial and temporal variability so they require observations both at a very high spatial and at a very high temporal resolution [59]. The low spatial resolution of satellite image products which are associated with ST limits several agricultural applications that require the characterization of the microclimate and the intraplot variability. Site-specific management of crop pests, as well as management of agricultural inputs and irrigation, requires accurate estimates of crop status and agro-meteorological conditions and characterizations of their intra-plot variability [42]. Several authors are unanimous on the fact that management of diseases and pests, characterized by a high spatial and temporal dynamics, requires specific agro-meteorological information at the field and microclimate scales [67][68][69]. Matese et al. [70], for example, have shown that the microclimate of vineyards is characterized by high spatial variability (intravignoble and intervignoble) meaning that measurements from meteorological stations located outside of these vineyards do not effectively reflect the microclimate conditions occurring there. Agricultural practices rely increasingly on data acquired at fine scales in order to characterize the spatial and temporal variability of growth factors within the fields in order to improve management of crop diseases and pests and agricultural inputs, and to reduce the costs for producers and the toll on the environment and human health. Airborne remote sensing offers several advantages that can meet this need. Technological advances in recent years in the field of thermal infrared remote sensing led to the development of very high spatial resolution airborne sensors which allow the observation of ST at very fine scales [20]. According to Wood et al. [71], airborne remote sensing is an effective approach to producing accurate information in near real-time to improve the management of agricultural practices (prevention and control of crop diseases and pests, fertilizer application, irrigation, etc.) in a precision farming context. It provides accurate mapping solutions with flexibility of choice regarding spatial and temporal scales that meet specific needs [42,72] such as integrated pest management. It was thus demonstrated that images at very high spatial resolution are more appropriate to map riparian vegetation which is characterized by great complexity, great diversity, and spatial variability that manifests itself in very short scales [73]. Wood et al. [71] used airborne images to map the intra-plot variability in wheat fields. Zhang et al. [74] used airborne images to assess the effectiveness of different herbicides in cotton fields. The airborne thermal imagery acquired using infrared thermography cameras was among those used for the detection of water stress [42]. The characterization of the spatial variability of microclimate conditions at fine scales also requires accurate data [42,68,69,75,76]. This requires the assessment of the uncertainties related to tools and methods used to estimate SMIs.
The aim of our study was to estimate, evaluate uncertainties, and characterize the spatial variability of surface microclimate indicators (amount of vegetation, surface temperature, and surface moisture) derived from airborne infrared thermography and airborne multispectral imaging in the context of prevention and control of vegetable crop diseases and pests.

Study area
The study area is located in the valley of the St. Lawrence River, in the Montérégie West region, in the south of the metropolitan area, and in the southern part of the province of Quebec, Canada (Figure 1). The terrain is relatively flat in this study area. Elevations vary between 50  and 73 m (average elevation of 60 m), with slopes varying between 0 and 6.14% (average slope of 0.77%) (Canadian Digital Elevation Data [77]). Elevations are higher in the northern half of the study area. Black soil (organic soil) dominates the southern half part, while the northern half is mainly occupied by mineral soil. Forest and wooded areas are mainly located in the south. Agricultural lands are mainly used for vegetable crops (potato, lettuce, onion, carrot, celery, cabbage, etc.) and field crops (soybean and maize). These crops are respectively distributed in the northern part and in the southern part of the study area. Airborne imagery acquisition and in situ measurements were performed on July 14, 2006. Ground recognition was conducted from July 13 to 14, 2006. Figure 2 presents the overall schema of data acquisition and processing.

Airborne multispectral imagery and infrared thermography
The MS4100 camera (Duncan Tech, Auburn, CA) was used for the acquisition of airborne multispectral images. It was configured to operate with the spectral bands blue (437-483 nm), green (520-560 nm), red (640-680 nm), and near infrared (767-833). This camera is character- The acquisition of infrared thermography images was performed with the ThermaCAM SC2000 camera (FLIR Systems Inc., Boston, MA, www.flir.ca). This camera operates in the spectral band of 7.5-13 μm. Its imaging system is a focal plane array (FPA), with an uncooled microbolometer detector of 240 × 320 pixels. It has a spatial resolution (instantaneous field of view, IFOV) of 1.3 mrad and a field of view (FOV) of 24° × 18°, with a minimum view distance of 0.3 m. This latter parameter allows a maximum spatial resolution of 0.4 × 0.4 mm (absolute size of each pixel at a distance of 0.3 m). Its thermal resolution or thermal sensitivity is 0.07°C at an ambient temperature of 30°C, with an absolute precision (systematic bias) of +/−2°C or +/−2%.
Images were acquired at a flying height of 1200 m, with 13 flying lines oriented south-west/ north-east in the direction of the length. The flying height was determined from an expected spatial resolution of 1.5 m on the infrared thermographic images and an equivalent expected spatial resolution of 0.25 m on the multispectral images. A minimum of 30% lateral (side) overlap was used between images of adjacent flying lines, and a minimum of 60% longitudinal overlap was used between adjacent images of the same flying line. The calculation of these overlaps was based on the technical specifications of the infrared thermography camera. In addition to the remote sensing sensors, the acquisition system also included an integrated Global Positioning System/Inertial Navigation System (GPS/INS), which is a Position and Orientation Solutions for Direct Georeferencing (POS/DG) designed by the Applanix Corporation (Richmond Hill, Ontario, Canada, www.applanix.com). The acquisition system was mounted on an airborne platform carried by a Cessna 310L airplane. Image acquisition took place between 9:15 and 11:06 a.m. Eastern Standard Time, from the western boundary to the eastern boundary of the study area (Figure 1).

Field investigation and in-situ measurements
A field reconnaissance was conducted before, during, and after the acquisition of airborne images. It allowed the identification of crop varieties and their phenological stages, the identification of infield problems related to drainage, water and nutrient stress, abiotic damage, stress and damage caused by crop pests and diseases, and yield variation. In situ measurements were carried out for air temperature, relative humidity, surface reflectance, and surface temperature on various sites in the study area during the acquisition of airborne images. These measures were used to correct remote sensing images and to assess the accuracy of estimating agro-meteorological indicators.

Air temperature and relative humidity
Air temperature (AT) and relative humidity (RH) were observed from 13 sample points distributed over the study site. These observations were synchronized to the acquisition of airborne images. They were carried out at a height of 1.5 m from the surface using hygrothermometers (model 6301032 NexxTech, ORBYX electronics, Concord, ON). These instruments have an absolute accuracy of ±1.8°C between 0 and 40°C. A series of nine repeated measurements at 5 s intervals was carried out by sampling point in order to obtain an average measure with a resultant uncertainty of ±0.6°C. A device was used to protect the hygrothermometers from wind and direct sunlight. Continuous measurements at 10-min intervals were undertaken during the acquisition of airborne images, using two hygrothermometers installed at two weather station sites. The comparison of these measures with those acquired by meteorological stations at the same time was used to adjust hygrothermometer measurements to those of the meteorological stations.

Surface reflectance
Surface reflectance measurements were performed using a spectroradiometer FieldSpec Pro (ASD Inc., Boulder, CO, www.asdi.com) at two calibration sites (calibration site 1, CS1, and calibration site 2, CS2). On site CS1, reflectance measurements were performed on a white tarpaulin and on green grass. On site CS2, these measures were performed on a water surface (irrigation pond), bare soil (black soil), and on an onion crop surface. Each reflectance measurement was preceded by a calibration of the spectroradiometer using a Spectralon (white reference). Reflectance measurements were carried out simultaneously with the acquisition of airborne images.

Surface temperature
Surface temperature was measured on the same calibration surfaces used for surface reflectance, during and after the acquisition of airborne images. Infrared thermometer OS643E-LS (Omega, Stamford, CT) was used for these measurements. This instrument measures the temperature using the radiation emitted in the 6-14-μm-wide spectral band (thermal infrared). It has a reading accuracy of ±2%, a display resolution of 1°C, and a field of view of 65 mm diameter at 1 m. Surface temperature measurements were performed vertically at a target distance of about 1 m, except for water surface which required an oblique view and a greater distance for reasons of accessibility. Nine measuring points were sampled across each calibration surface. Two types of measurements were performed with the infrared thermometer. The first, called "calibration measurements of the infrared thermometer," was used to establish the relationship between the measurements of the thermometer and the infrared thermography camera and in order to use the thermometer readings as reference data for the assessment of the uncertainty of the surface temperature derived from the airborne infrared thermography. The calibration measurements of the infrared thermometer were performed at four sites, on a white tarpaulin that served as a reference surface. The geometry of the measurement was configured such that the two sensors covered the same field of view on the tarpaulin. The second type of measurement was used as a validation measure of the estimation of the surface temperature by airborne infrared thermography. These measures were synchronized with the acquired airborne images.

Radiometric and atmospheric corrections 2.3.1.1. Multispectral imagery data
A gradual darkening effect from the center to the edges was found when reading the multispectral images. This phenomenon is known as vignetting [78][79][80]. It was corrected using the equations proposed by Hasler and Süsstrunk [81].
The empirical line method [82] was used to perform the atmospheric correction of the multispectral images. This method assumes that there is in the image at least one low reflectance target (value close to 0) and one high reflectance target (value close to 1) in each spectral band of the sensor [82][83][84]. A linear equation that models the relationship between the luminance (or the digital count) and the surface reflectance is set to convert the digital counts in surface reflectance values. Although this approach corrects both radiometric and atmospheric effects and overcomes having to use atmospheric measurements and a radiative transfer model, it does require reflectance measurements on target surfaces with simultaneous image acquisition; this was performed in the present study. The average values of surface reflectance and digital count of the calibration panels were used to establish regression models and derive the equation of the empirical line in each spectral band of the sensor. Three target surfaces were used to determine the empirical line in each spectral band.

Infrared thermography data
The infrared camera ThermaCAM SC 2000 is designed for industrial applications and for research and development applications conducted primarily in laboratory. The format of the camera output data does not meet the needs of a geospatial application. The ThermaCAM Researcher software 2001 (FLIR Systems AB, Rinkebyvägen, Danderyd) was used to export the thermography to a MatLab file (.mat). The structure of this file contains information like date and time of data acquisition, object signal, emissivity, temperature, characteristics of the black body and the trigger signal number. From this data structure, the surface temperature matrix was converted into a 32-bit georeferenced Tagged Image File Format (GeoTIFF) image file.
The radiometric calibration and atmospheric correction are internal to the thermal camera. The calibration is performed by measuring digital counts over a blackbody with a known emitted luminance, surface temperature, surface emissivity, and target distance. The data derived from this calibration are used to produce a curve associating digital numbers to luminance values and to establish the relationship between the input luminance of the sensor and the surface temperature of the target. The latter conversion is made using a series of lookup tables (LUTs) stored in the camera. These LUTs establish the relationship between luminance values and blackbody temperatures. When a measurement is made, the system identifies the LUT which is associated with the digital number signal generated and calculates the temperature value related to the measurement. The surface temperature calculated by the camera is based on the law of total radiation [85,86] by using the infrared radiation emitted by the surface, the where T cam, input temperature of the camera (K); ε, surface emissivity; τ, transmissivity of the atmosphere; ST, surface temperature (K); T amb, reflected ambient temperature (K); T atm, temperature of the atmosphere (K).
The input parameters used by the thermal camera to solve Eq. (1) were surface emissivity, ambient temperature (temperature of the ambient air from the environment of the object), temperature of the atmosphere (temperature of the air between the object and the camera), the target distance, and the relative humidity of the air. These parameters were provided to the camera before the measurements and were used in post processing to correct the infrared thermography images. The ThermaCAM Researcher software (FLIR Systems, Boston, MA) was used for the acquisition and correction of infrared thermography images. The surface emissivity value was set to 1 in order to calculate an apparent atmospherically corrected blackbody temperature because the acquisition and processing software accepts only one emissivity value by image. However, the surface emissivity varies over the image with the spatial heterogeneity of the observed territory. The surface temperature was subsequently calculated using the apparent blackbody temperature and a surface emissivity map (Section 2.5.2).

Orthorectification and spatial integration
Airborne remote sensing data acquisition was completed with an average of 350 images per flight line for a total of 4500 images per sensor. A conventional aerial triangulation was carried out on subsets of images of different flight lines in order to perform the internal calibration of the sensors and solve the linear and angular eccentricities of the GPS/INS/camera system. A total of 30 images and a minimum of 5 control/tie points per image were used for this calibration. The images used for the calibration are those whose centers coincide with a point that can be defined as a control point (intersection of roads, trails, rivers, or center of irrigation pond, etc.). An algorithm was developed to mark the center of the images to identify those suitable for the calibration. The resolution of eccentricities consisted of comparing the exterior orientation parameters calculated by the conventional aerial triangulation method and those from the GPS/INS system data. Image orthorectification and mosaicking were subsequently performed automatically for each flight line. Then, a mosaic of different image lines was completed. The internal orientation parameters and the values of eccentricity from the calibration, the external orientation parameters from the GPS/INS system data, and a digital elevation model were used as input data in the OrthoEngine module of Geomatica software (PCI Geomatics, Richmond Hill, ON) to perform the orthorectification. Data from the Base de Données Topographiques du Québec (BDTQ, topographic database of the province of Quebec, 1/20000) was used as spatial reference to collect control points to assess the overall accuracy of the orthorectified multispectral image and infrared thermography image.
Estimating SMIs by using multisensor data requires a good spatial integration of these data to ensure the linking of homologous pixels from multispectral and thermal images. To achieve this, an average filter of 5 × 5 pixels and a resampling to the resolution of 5 m were successively applied to the 1.5-m resolution images.

Image classification
A maximum likelihood supervised classification (MLSC) [87,88] was performed using airborne multispectral and infrared thermography images to map land use and land cover (LULC  [89,90] were used to assess the quality of the classification. The polygons associated with the thematic classes of the classified image were used to evaluate the spatial variability of SMIs according to these classes.

Vegetation quantity
The normalized difference vegetation index (NDVI) [91] and percent vegetation cover (PVC) were used to express the amount of vegetation and the spatial variability of phenological stages observed in the field. Formulas of NDVI and PVC are, respectively, presented in Eqs. (2) and (3). Vegetation indices (VIs) can be considered as indicators of the amount of vegetation and vegetation biomass [92]. The NDVI is one of the best known and most used of VIs [28,45,51,93], particularly for estimating the amount of vegetation and monitoring crop phenology [34,46]. The NDVI was estimated using airborne multispectral images, as formulated in Eq. (2). PVC was estimated using the NDVI [94] according to Eq. (3). In a comparative study based on airborne images, Nagler et al. [48] showed that the NDVI gave a better result for estimating PVC, compared to soil-adjusted vegetation index (SAVI) and enhanced vegetation index (EVI). The uncertainty of the NDVI was evaluated by validation using in situ measurements (Eq. (4)).
The formulation of the uncertainty of the PVC (Eq. (5)) was based on the law of propagation of uncertainty (LPU) and the combined standard uncertainty assessment approach proposed by the guide to the expression of uncertainty in measurement (GUM) [95].
The parameters NDVI min and NDVI max , respectively, correspond to the NDVI of bare soil and the NDVI of full vegetation cover. They were estimated using the classified image according to the average NDVI values, respectively, associated with FCVC and PCVC classes.
where u(NDVI airborne ), uncertainty of the NDVI derived from airborne multispectral imagery; NDVI airborne, NDVI derived from airborne multispectral imagery; NDVI in situ, NDVI derived from in situ spectroradiometric measurements; N, number of observations of the pair (NDVI in situ , NDVI airborne ); a, slope of the linear regression NDVI in situ /NDVI airborne; b, intercept of the linear regression NDVI in situ /NDVI airborne.
where u(PCV), PVC estimation uncertainty; u(NDVI), NDVI estimation uncertainty; NDVI min, NDVI minimum threshold corresponding to bare soil; NDVI max, NDVI maximum threshold corresponding to full vegetation cover.

Surface temperature
Surface temperature (ST) was estimated using (Eq. (6)) [96,97], based on the apparent blackbody temperature derived from the airborne infrared thermography and the surface emissivity model (SEM) estimated according to Sobrino and Raissouni [98]. The largest source of uncertainties in the estimation of the ST derived from airborne infrared thermography are related to the input parameters of the temperature model (Eq. (1)). They include surface emissivity model, ambient temperature, temperature of the atmosphere, relative humidity of the air, viewing distance, error induced by the ambient infrared radiation reflected by the surface, estimation error of the transmissivity of the atmosphere, and atmospheric radiation [99]. The surface emissivity model is the most important source of uncertainty [99,100]. Orthorectification and image coregistration and mosaicking are other non-negligible sources of uncertainty. Considering all these uncertainty components, the formal assessment of the resultant uncertainty of the ST derived from airborne infrared thermography (ST airborne ) using analytical methods such as LPU is not easy to achieve. The uncertainty of the ST airborne was estimated by validation, as an experimental uncertainty combining all the above uncertainty components. The assessment of the experimental uncertainty was performed using in situ measurements carried out by infrared thermometry (ST in situ ) (Eq. (7)).
where u(ST airborne ), uncertainty of the surface temperature derived from airborne infrared thermography (K); ST airborne, surface temperature derived from airborne infrared thermography

Surface humidity
Surface humidity (SH) was estimated using the temperature/vegetation dryness index (TVDI) proposed by Sandholt et al. [101]. This index is based on the principle that the direct relationship between soil moisture and ST is not easy to assess. However, soil moisture is an important factor in the spatial and temporal variability of ST. It influences ST via evapotranspiration and the thermal properties of the surface [101]. Also, the status of the vegetation cover is a function of soil water content. Thus, the curve relating ST and NDVI, commonly known as the ST/NDVI space, allows the assessment of the moisture conditions of the surface and the estimation of soil water status [24,34,56,[101][102][103][104][105]. For a given site, the point cloud of the relationship TS/ NDVI defines a trapezoidal space. This space is a set of isolines representing different states of surface moisture [105]. Its left vertical edge represents bare soil, from a dry state corresponding to an absence of evapotranspiration (E null ), to a wet state corresponding to a maximum of evapotranspiration (E max ). The horizontal    The TVDI estimated from airborne images was validated using in situ measurements of AT and HR, as surface moisture was not measured during the field campaign. This validation is based on the assumption that conditions of high surface moisture are locally associated with lower values of AT and higher values of HR. Conversely, dry surface conditions are locally associated with higher AT values and lower HR values.

Land use and land cover
Airborne multispectral imaging and infrared thermography helped achieve good classification results in the study area. Overall accuracy and kappa coefficient of the supervised classification were, respectively, 84.87% and 0.85. The classified image showed that agricultural surfaces represent the main LULC of the study area (53.25%). The proportion of this area occupied by the other LULC themes is 28.82% for forests, 11.66% for hay and grazing land, 2.63% for impervious surfaces, and 0.28% for water (Figure 3). Vegetable crops and large-scale farming are the main components of agricultural surfaces. They occupy 23.50 and 17.58%, respectively, of the study area. The proximity of vegetable crops with organic bare soil (OBS) shows that they are mainly grown on this type of soil. The presence of OBS on vegetable crop fields denotes the high variability that could characterize the microclimate of these environments.

Vegetation quantity
The NDVI derived from airborne multispectral imaging (NDVI aero ) varies in the study area between −0.73 and 0.84 (Figure 4), with an average value of 0.34 and a standard deviation of ±0.31. It is strongly correlated with the NDVI derived from in situ observations (r = 0.994; p = 0.006) (Figure 5). Uncertainty and bias of the NDVI aero , based on in situ observations, are, respectively, ±0.045 and −0.118. On average, the NDVI aero underestimates the NDVI values by about 0.118. The NDVI map shows three major classes of LULC in the study area (Figure 4).
In the first group, IS, dry crop residues, and MBS have NDVI values less than 0. In the second group, water, OBS, and PCVC have NDVI values between 0 and 0.33. In this category, OBS is characterized by NDVI values between 0 and 0.29, with an average value of 0.10 and a standard deviation of ±0.045. The third group includes forest and FCVC surfaces, which are characterized by the highest values of NDVI (NDVI mean = 0.60).   Average values of NDVI associated with OBS (0.10) and full vegetation cover (0.60) were, respectively, used as minimum and maximum values of NDVI for the estimation of PVC (Eq. (3)). Figure 6 shows the map of the variation of PVC over the study area. It varies between 0 and 1, with an average value of 0.48 and a standard deviation of ±0.42. Its resultant uncertainty varies between 0 and ±0.365 over the study area (Figure 7). The variation of PVC and its resultant uncertainty according to NDVI is illustrated by Figure 8. PVC uncertainty increases with NDVI values. Thus, highest PVC uncertainties are observed on areas with greater vegetation cover and lowest PVC uncertainties are observed on areas with smaller vegetation cover (Figure 8) However, the spatial dynamics of agricultural surfaces, ranging from bare soil (PCV = 0) to complete vegetation cover (PCV = 1), is best described by PVC rather than NDVI. To illustrate this, Figure 9 show the variation of NDVI and PVC values on potato crop fields in different phenological stages.

Surface temperature
Surface temperature estimated by airborne infrared thermography (ST airborne ) demonstrates a very high thermal spatial variability over the study area (Figure 10). This variability occurs both at the intra-plot and local scales. In the period of airborne data acquisition (09:10-11:00 am) and across the study area, the ST airborne varies from 290 to 331 K, with an average value of 300.60 K (SD = ±3.42 K). This represents a spatiotemporal variation of more than 40 K over an area of 56 km 2 and a period of about 2 h. The correlation between ST airborne and ST in situ is very high (r = 0.99; p = 0.010) (Figure 11). The experimental uncertainty and the bias of the ST airborne compared to in situ observations are, respectively, 0.73 and ±1.42 K.   • Proximity to windbreaks (windproof effect)

• Yield variation
The study area is mainly composed of organic and mineral soil. Organic soils are mostly located in the south part which was formerly covered by lakes. Hence, a strong relationship between land elevation and soil type in the area. The values of ST are higher on organic soil compared to mineral soil. Loam soils are sometime present on organic soil fields. Figure 10a shows a strong variability of ST between a loam zone (higher values of ST) and an organic soil zone (lower ST values) on field 53. On some fields, the organic soil is not well decomposed. Its nutritional quality is reduced. This causes growth problems and gives rise to a high intra-field variability of ST, which is the case with field 15 on which is grown Chinese cabbage (Figure 10b). Poor drainage and flooding caused by underground tanks, for example, can hamper crop growth and lead to a strong spatial variability of ST due to lower vegetation cover in the problematic areas of the field. Figure 10c shows a maize crop field affected by poor soil drainage. The temperatures are higher on the problematic areas of the field due to lower vegetation cover.
Intra-field variation from bare soil to full vegetation cover is associated with the highest temperature variabilities observed on the fields (Figure 10d, field G3). ST values are much higher on bare soil than on full cover vegetable crops. Figure 10d shows temperature variations above 14 K on field G3, which is a mix of bare soil and vegetation. Different crop varieties are characterized by varying phenology, canopy structure, and planting dates. This causes a spatial variability of ST. Figure 10d shows temperature variations between lettuce, celery, and potato crops. Subdivision of fields according to different planting dates results in a variation of phenological stages within the same crop variety, hence a variation of percent vegetation cover and ST within the field. Spatial variability of ST on field M3 (celery crop) (Figure 10d) is primarily a function of growth stages associated with different planting dates. The lowest temperatures are those of the vegetation cover of the most mature plants. While higher temperatures are associated with younger plants, which are characterized by a lower percent vegetation cover. Spatial variability of ST on crop surfaces are related not only to the variability of soil and crop varieties but also to several other agrometeorological factors such as soil moisture, nutrient and water stress, abiotic damage by weather conditions or cultural practices, and damage caused by pests. Thus, a high spatial variability of ST over a field or crop unit may indicate a crop growth problem and therefore reflect variability in yield. Temperature variability of the field presented at Figure 10c is strongly correlated with yield maps (not presented here-yield maps were shown by the farmer).

Surface moisture variability and uncertainty components of the TVDI
The map of the TVDI confirms that the wetter surfaces are located on the western side of the study area and the driest surfaces are located on the eastern part (Figure 13). There are Estimation and Uncertainty Assessment of Surface Microclimate Indicators at Local Scale Using Airborne Infrared Thermography and Multispectral Imagery http://dx.doi.org/10.5772/64527 however, some drought islands (TVDI > 0.50) in the wetter zone and some moisture islands (TVDI < 0.30) in the driest zones. Among the drought islands, there are hay, organic bare soil, and low cover vegetable crops on organic soil (PCV < 0.25). Organic bare soil, full cover vegetable crops, and partial cover vegetable crops are among the moisture islands observed in the driest areas. Over the study area and the period of observation, the TVDI ranges between 0 and 1, with a mean value of 0.35 (SD = ±0.097). Its uncertainty varies between ±0.021 and ±0.126 (Figure 14), with an average value of ±0.055 (SD = ±0.016). The histogram of the uncertainty of the TVDI shows three peaks around the values ±0.033, ±0.040, and ±0.068 (Figure 15). The map of the uncertainty confirms these three peaks which are associated with three types of surfaces (Figure 14). The first type corresponds to surfaces of low values of NDVI such as mineral bare soil, hay, and grazing lands. The second type also corresponds to surfaces of low NDVI values such as organic bare soil and low cover vegetable crops on organic soil. Areas with a high percent vegetation cover, dominated by forests and full cover crops, compose the third type of surface on which higher values of uncertainty are observed (Figure 14). This shows that the uncertainty of the TVDI increases with the NDVI (Figure 16). Figures 17 and  18 show that this uncertainty also increases when the ST or the temperature of the dry limit (ST max ) are near the temperature of the wet limit (TS min ). However, this situation generally corresponds to a high vegetation cover with low ST values, therefore a tendency to observe low values of TVDI and higher surface moisture values. These conditions converge toward the wet limit (Figure 19).

Spatial variability of the TVDI on agricultural surfaces
The TVDI varies between 0.20 and 0.70 across full cover vegetable crop surfaces, with an average value of 0.39 (SD = ±0.076) and an average uncertainty of ±0.067 (SD = ±0.006). This shows that the surface moisture is much lower in some agricultural parcels compared to others. However, full cover vegetable crops are on average wet surfaces rather than dry. This trend

Relationship between the TVDI and in situ observations of air temperature and relative humidity
The relationship between the TVDI and in situ observations shows that it is highly correlated with air temperature (r = 0.88, p = 0.004, Figure 20). However, it does not present a correlation with relative humidity (r = 0.09; p = 0.826). The correlation between the TVDI and air temperature verifies the hypothesis that conditions of higher surface moisture (the TVDI value tends toward 0) are locally associated with lower values of air temperature, while the conditions of lower surface moisture (the TVDI value tends toward 1) are associated with higher values of air temperature (Figure 20). Figure 20 shows that the locations at which in situ observations were made are predominantly wet surfaces (TVDI < 0.50). That did not permit the assessment of the relationship between the TVDI and in situ observations of air temperature and relative humidity in drier conditions.

Vegetation index and percent vegetation cover
The NDVI estimated using airborne multispectral imaging (NDVI airborne ) is an important indicator of the spatial heterogeneity of agricultural surfaces and their intra-plot variability. It allows the easy distinguishing of different states of agricultural lands like full vegetation cover, partial vegetation cover, and bare soil. NDVI values which are associated with these thematic classes were, respectively, estimated at 0.58 (SD = 0.087), 0.37 (SD = 0.172), and 0.10 (SD = 0.071) for vegetable crops on organic soil. These values are close to those observed in different studies using in situ observations if we consider the bias of 0.118 between NDVI airborne and NDVI in situ . For example, Van De Griend and Owe [92] report a value of 0.157 for the NDVI of bare soil (sandy loam). Considering all potential sources of error mentioned above and the uncertainty of NDVI values reported by different studies [106], the uncertainty of ±0.045 of NDVI airborne is satisfactory. Nagol [106] reports NDVI uncertainty values varying between ±0.023 and ±0.085 according to different types of vegetation and weather conditions. Compared to NDVI, PVC refers more to a vegetation cover rate and a quantity of biomass. Full cover vegetation has a maximum PVC value and an absence of vegetation have a zero value. Thus, PVC allows a better characterization of the amount of vegetation, from bare soil to full vegetation cover. This characterization would allow a better assessment of phenological stages.

Airborne infrared thermography, surface temperature of agricultural lands and crop management
The estimation of ST using airborne infrared thermography (ST airborne ) allowed the characterization of the intra-plot variability of agricultural lands over the study area. This variability is mainly associated with a variation in the percent vegetation cover, the type of vegetation, surface moisture conditions, and different types of soil. ST airborne thus helps to reveal the changing microclimate conditions across crop fields. It is a useful variable for the modeling and estimation of MCIs at local scales. And it offers a high potential for crop management given its ability to detect problematic areas in the field. The ST airborne was estimated with an uncertainty of ±0.73 K and a bias of 1.42 K with respect to in situ observations. The uncertainty of ST airborne is greater than the sensitivity of the infrared thermography camera (±0.007 K), but its estimated bias is lower than the accuracy of the camera (2.00 K). The uncertainty of ST airborne is due to the measurement accuracy of the camera, the uncertainty of the surface emissivity estimated by using in-situ observations and airborne multispectral imagery, the uncertainty of the atmospheric correction, and the uncertainties of the orthorectification and image mosaicking. The uncertainty of ST airborne is relatively good considering all these sources of uncertainties. Some conditions and components of the method helped to achieve this good result in the present study: (1) the clear sky during the acquisition of the airborne images, (2) the low altitude used for this acquisition which resulted in a low optical thickness, and (3) the mapping of surface emissivity which helped to reduce the influence of the main source of uncertainty in the estimation of the ST airborne . The estimation of ST airborne in clear sky conditions with a relatively low uncertainty, aligns with the observations of Moran et al. [107] who report that in these conditions where visibility is high and water vapor content is low, the atmospheric correction of thermal images is not necessary because the absorption by atmospheric particles is balanced by the thermal emission of these components. The uncertainty and the bias of the ST airborne is close to those of the ST estimated using other airborne sensors [108][109][110] or earth observation satellites [108,[111][112][113][114][115][116]. Considering the high intra-plot variability of ST, even if on full cover vegetation surfaces, the uncertainty of ST airborne is satisfactory to characterize the microclimate conditions of agricultural lands. Using airborne infrared thermography is a promising approach to characterizing agricultural surfaces and a promising diagnostic and decision-making tool for crop management. This allows the characterization of growing conditions along with the occurrence and behavior of diseases and pests through the estimation of several other MCIs like surface humidity and near surface air temperature.

The TVDI indicator of surface moisture
The trapezoidal space ST/NDVI and the TVDI estimated using airborne multispectral imaging and infrared thermography allowed a good characterization of the spatial variability of surface moisture and its temporal variability induced by successive acquisition flight lines. The variation of humidity conditions over the study area, from the wet limit to the dry one, is thus both time and space dependent. This study shows that the ST/NDVI space and the limit lines defining the TVDI could be established on an intra-seasonal and inter-seasonal basis to assess surface moisture and could take into account not only prevailing moisture conditions at the time of image acquisition but also taking into account the dynamics of these conditions throughout the season and between seasons. The concept of sub-cloud points of wet and dry limits of the ST/NDVI space and their clear identification were used to improve the estimation of those limit lines and to assess their uncertainty. The use of sub-cloud points reduces the subjectivity of the estimation of the limit lines by calculating their uncertainty. Wang et al. [63] report about this subjectivity and the imprecision that it generates in the estimation of the TVDI. The concept of the sub-cloud points of the limit lines allows the assessment of this imprecision and allows this to be taken into account when estimating the uncertainty of the TVDI. The TVDI was estimated over the study area with a low uncertainty. The analysis of the components of this uncertainty showed that it is strongly related to the NDVI and the temperature of the dry limit. The uncertainty of the TVDI increases with the NDVI, and it decreases with the temperature of the dry limit. Each of these two variables allows a full expression of the minimum and maximum uncertainty of the TVDI for a given percent vegetation cover. These results confirm those of Li et al. [21] who also report that the uncertainty of the TVDI increases with the NDVI and the approximation of the isolines. The TVDI showed that the intra-plot variability of surface moisture may be quite high on vegetable crop surfaces. Of two neighboring fields, the spatial extent of one can be mainly characterized by surface moisture conditions close to those of the wet limit while that of the other one can be mainly characterized by surface moisture conditions close to those of the dry limit. This reflects the high spatial variability of the agro-meteorological conditions that could influence the abundance of crop diseases and pests in the fields.

Added value of the integration of optical and microwave data for the characterization of microclimatic conditions and crop identification
The integration of microwave remote sensing data (passive or active) with optical (multispectral) and thermal data offers several advantages both for the characterization of microclimatic conditions and for the characterization of land use and land cover (LULC). This integration makes it possible to characterize both the microclimatic conditions of the surface (surface temperature and moisture) and the air near the surface (near surface air temperature) by using optical and thermal remote sensing data and the microclimatic conditions of the soil layers near the surface (soil temperature and moisture) by using microwave remote sensing data.
Soil temperature and soil moisture are two important agro-meteorological variables. The first has an influence on both the development of crops and several pests and pathogenic microorganisms in the soil. The second is more directly related to the water content of the soil, and thus to the amount of water available for the development and growth of crops. But in the conditions of the presence of vegetation and cloud cover, it is more difficult to estimate these two variables using optical and thermal remote sensing data. Indeed, in the presence of vegetation, surface temperature and moisture estimated by optical and thermal data are more related to the canopy or to a mixed surface composed of canopy and fraction of bare soil, while microwave remote sensing data offer a better potential for estimating soil temperature and soil humidity even in the presence of vegetation (low vegetation percent cover) and clouds [117][118][119][120]. For example, Manns et al. [118] used data from the airborne sensor Passive Active L-band System (PALS) to estimate soil moisture in agricultural and forest areas. However, some disadvantages are associated with the use of microwave remote sensing for estimating soil temperature or soil moisture depends on the type of system used. The major one is the low spatial resolution of passive microwave sensors [117,119]. The use of radar sensors (active microwave) has the advantage of a better spatial resolution compared to passive microwave sensors. However, the estimation of soil moisture using radar images is more difficult because these data are more sensitive to the surface roughness and to the structure of the canopy [117].
Different crop varieties may have different canopy structures (size and geometry of the canopy, canopy density, leaf orientation, row direction) at certain phenological stages [121]. As the radar remote sensing data are highly sensitive to this structural variation [117], their integration with optical data acquired at specific periods of the season optimizes the accuracy of the algorithms used to perform classification of crops [121].

About the use of airborne-based technologies versus spaceborne-based technologies
Airborne data offer many advantages for the characterization of microclimatic conditions, identification of different crop varieties, and monitoring of crop condition and phenology. One of the most important advantages is the flexibility of the choice of spatial resolution, spectral resolution, and temporal resolution at which the images will be acquired.
Compared to satellite images for which the spatial, temporal, and spectral resolutions are already set, those of airborne images can be defined according to the needs and constraints of the user. For example, very high spatial resolution images can be acquired at particular periods of the season and at specific times of the day to meet precise needs in agriculture. However, the spatial, temporal, and spectral resolutions of satellite images would not allow to do so.
The growing interest in the use of drones for remote sensing applications and their rapid development open the way for a greater access to airborne imagery with reducing acquisition costs (aircraft rent and pilot fees, flight authorization, etc.), increasing autonomy (the purchase of a drone and the expertise to operate it are more accessible compared to an aircraft), and reducing constraints related to airborne mission (minimum permitted flight height, the spatial resolution increases with the decrease of the flight height).

Conclusion
Infrared thermography and airborne multispectral imaging were used in this study to estimate surface microclimate indicators (SMIs) at local scale and to assess their uncertainties. Normalized difference vegetation index (NDVI), percent cegetation cover (PVC), surface temperature (ST) and the temperature/vegetation dryness index (TVDI) were used to characterize local and intra-plot variability of the amount of vegetation, the surface temperature, and surface moisture. The ST estimated by airborne infrared thermography offers a high potential for the management of vegetable crops, as it allows the detection and investigation of problematic zones in the fields. The spatial variability of surface temperature has been associated with several growth factors and management practices of agricultural lands such as soil type (mineral soil, black earth, loam), drainage and soil quality, soil moisture, crop varieties and their growth stage, and stress (water and nutrient deficit, abiotic damage). This thermal variability is the result of several agro-meteorological phenomena that govern crop yields, as well as the occurrence and behavior of crop pests and diseases. The TVDI demonstrated that intra-plot variability of surface moisture may be quite high on crop surfaces. This reflects the high variability of microclimate conditions that can affect diseases and pests that are present on these surfaces. The main limitation of the applications of SMIs derived from airborne remote sensing is the cost of images acquisition and processing. Planning airborne missions and using unmanned aerial vehicles (UAV) via a shared service that includes different stakeholders working in the same territory (agricultural producers, agroenvironmental consulting clubs, phytosanitary warning networks, etc.) would be able to meet the specific needs of crop management and integrated pest management (spatial and temporal resolution, periods and critical management areas), while significantly reducing the costs associated with the use of such data. Moreover, the rapid development of technologies related to Earth observation satellites and sensors has led to better spatial and temporal resolutions. The growing availability of Earth observation images due to a greater number of satellites in orbit, the advent of satellite constellations, and various integrated Earth observation programs will allow for greater frequency of image acquisition over vast territories and at finer scales. This will help reduce data gaps and enable better monitoring of microclimate and agrometeorological conditions at local scales.
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