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Article

Assessment of Remote Sensing Data to Model PM10 Estimation in Cities with a Low Number of Air Quality Stations: A Case of Study in Quito, Ecuador

by
Cesar I. Alvarez-Mendoza
1,2,*,
Ana Claudia Teodoro
1,3,
Nelly Torres
2 and
Valeria Vivanco
2
1
Department of Geosciencies, Environment and Land Planning, Faculty of Sciences, University of Porto, Rua Campo Alegre 687, Porto 4169-007, Portugal
2
Grupo de Investigación Ambiental en el Desarrollo Sustentable GIADES, Carrera de Ingeniería Ambiental, Universidad Politécnica Salesiana, Quito 170702, Ecuador
3
Earth Sciences Institute (ICT), Pole of the FCUP, University of Porto, Porto 4169-007, Portugal
*
Author to whom correspondence should be addressed.
Environments 2019, 6(7), 85; https://doi.org/10.3390/environments6070085
Submission received: 14 June 2019 / Revised: 16 July 2019 / Accepted: 19 July 2019 / Published: 21 July 2019

Abstract

:
The monitoring of air pollutant concentration within cities is crucial for environment management and public health policies in order to promote sustainable cities. In this study, we present an approach to estimate the concentration of particulate matter of less than 10 µm diameter (PM10) using an empirical land use regression (LUR) model and considering different remote sensing data as the input. The study area is Quito, the capital of Ecuador, and the data were collected between 2013 and 2017. The model predictors are the surface reflectance bands (visible and infrared) of Landsat-7 ETM+, Landsat-8 OLI/TIRS, and Aqua-Terra/MODIS sensors and some environmental indexes (normalized difference vegetation index—NDVI; normalized difference soil index—NDSI, soil-adjusted vegetation index—SAVI; normalized difference water index—NDWI; and land surface temperature (LST)). The dependent variable is PM10 ground measurements. Furthermore, this study also aims to compare three different sources of remote sensing data (Landsat-7 ETM+, Landsat-8 OLI, and Aqua-Terra/MODIS) to estimate the PM10 concentration, and three different predictive techniques (stepwise regression, partial least square regression, and artificial neuronal network (ANN)) to build the model. The models obtained are able to estimate PM10 in regions where air data acquisition is limited or even does not exist. The best model is the one built with an ANN, where the coefficient of determination (R2 = 0.68) is the highest and the root-mean-square error (RMSE = 6.22) is the lowest among all the models. Thus, the selected model allows the generation of PM10 concentration maps from public remote sensing data, constituting an alternative over other techniques to estimate pollutants, especially when few air quality ground stations are available.

1. Introduction

Due to some factors such as air pollutants permanency over the time, the air quality has decreased in recent years, all over the world. One of the direct indicators of air quality is particulate matter with an aerodynamic diameter lower than 10 µm, usually called PM10 [1]. It is well-known that PM10 has a negative environmental impact on outdoor air quality and that it that is linked to public health problems such as cardiovascular and respiratory diseases [2,3]. Many cities around the world are monitoring PM10 in order to prevent environmental problems. However, this monitoring process needs to be improved in order to establish reliable environmental policies [4]. Thus, understanding the spatial distribution of PM10 requires a scientific and accurate basis to locate the possible sources of this pollutant in cities, in order to avoid environmental problems linked to air quality.
The air quality monitoring network (AQMN) is a classical procedure to monitor PM10 in cities. However, some difficulties are found, for instance, high maintenance cost by station [5], a low quantity of stations in large cities, or non-representative spatial distribution [6]. An alternative could be high resolution air ground measures with the implement of low-cost sensors [7,8], however, they are an investment of the local governments, and most of the time is not possible to realize it. An example of where there is insufficient information provided by AQMN stations and a lack of PM10 measures is in Quito, Ecuador [9,10,11,12], where there is not enough information to establish environmental strategies. Quito, the capital of Ecuador, is a special geographic zone, considering its high elevation altitude (2800 m) in the middle of the Andean region. Considering the difficulties of a city like Quito, one valid alternative to complement AQMN monitoring is applying land-use regression models (LUR) [13]. LUR models use different geographical variables as predictors (remote sensing data, meteorological data, road density, vehicular traffic, land use, emission inventory, etc.) [13,14,15,16]. However, oftentimes this information cannot be easily accessed. Moreover, these geographical variables are not frequently updated by government institutions. In the case of remote sensing data, the predictors most commonly used in LUR models to retrieve PM10 are aerosol optical depth (AOD) and normalized difference vegetation index (NDVI) from moderate-resolution imaging spectroradiometer (MODIS) products [17,18,19,20]. MODIS products have a low spatial resolution that limits their application in medium or small cities [21,22,23], but they are an efficient alternative to retrieve pollutants in regional (large cities/regions) or national (countries) areas. Consequently, a possible alternative to MODIS products is Landsat data. Nowadays, the operational Landsat satellites are Landsat-7 and Landsat-8 [24,25]. Landsat data have a higher spatial resolution compared with MODIS (30 m instead of 250 m) [23]. Several strategies to retrieve AOD from Landsat data have already been established [24]. Nevertheless, these strategies require AOD ground station data in the study area to have aerosol information in a medium spatial resolution [25,26]. Considering this limitation, other studies suggest that the visible bands of Landsat sensors can be used to invert PM10 [27]. The strategy proposed in this work is useful and effective when the AOD stations are limited.
In order to construct empirical LUR models, some studies have used multiple linear regression (MLR) [26], considering a subset of variables through the stepwise regression (STW) algorithm [28,29]. Nevertheless, the use of MLR cannot analyze the possible multicollinearity between variables, because we have a high correlation between near bands in the spectrum [30]. Moreover, it is well-known that multicollinearity exists between remote sensing variables [31], producing a source of error in MLR empirical models. However, an alternative that allows the computing of more accurate models, avoiding multicollinearity, is to use partial least square (PLS) regression [32,33,34] or an artificial neuronal network (ANN) [35]. Generally, ANNs give more accurate results in comparison with traditional linear methods, considering the complexity of modeling air pollutants. Some atmospheric studies use a multilayer perceptron (MLP) in the context of ANN in order to obtain a predictor model [26,36].
In Alvarez-Mendoza et al. [12], only remote sensing data were considered to compute the LUR model based in a MLR without a method to select predictors. In this work, three main objectives are proposed: (i) Using only remote sensing data will be used to establish LUR models without any AOD predictor; (ii) making a comparison between three different remote sensing satellite/sensors (MODIS, Landsat-7, and Landsat-8) to retrieve long-term PM10 considering only a selection of predictors and; (iii) comparing the accuracy of different techniques (STW, PLS, and MLP) in the generation of the predictive models. The two last items are the new contributions of this work.

2. Materials and Methods

2.1. Study Area

The study area is the urban zone of Quito, the capital of Ecuador. Quito comprises 45 urban parishes or parroquias, distributed between the latitudes 0°30′ S and 0°10′ N and the longitudes 78°10′ W and 78°40′ W (Figure 1). The average elevation is around 2800 meters above sea level. The city is located in the middle of the Andean Region. The mean minimum and maximum temperatures are approximately 9.0 °C and 25.4 °C, respectively. On the other hand, Quito is a region without four seasons because it is in the tropical area, near to the equatorial line. This area was chosen considering the influence of nine AQMN stations.

2.2. PM10 Data from AQMN Stations

In order to monitor air quality in Quito, nine stations have been acquiring air pollutants since 2002 (Figure 1). Together they form the “Red Metropolitana de Monitoreo Atmosférico de Quito” (REMMAQ) [37]. REEMAQ is the AQMN of Quito, where one of the air pollutants daily measured is PM10. These data are public and free to download (http://www.quitoambiente.gob.ec/ambiente/index.php/datos-horarios-historicos). The PM10 concentration is measured in micrograms per cubic meter (µg/m3). In this study, we use three-month-averages from 2013 to 2017, matching with the dates of the remote sensing data (time when the satellite passes over the study area). The main reasons to use three-month-averages are the few available remote sensing data and REMMAQ stations (stations without data in some months or with negative data values). In this study, PM10 three-month-averages are used as the dependent variable.

2.3. Remote Sensing Data Predictors

In this study, three different types of remote sensing data were used to retrieve PM10 between 2013 and 2017: Landsat-7 ETM+, Landsat-8 OLI/TIRS and MODIS/Terra and Aqua (Table 1). The remote sensing data are free to download from the United States Geological Survey (USGS) website (http://earthexplorer.usgs.gov). Moreover, only images with less than 10% cloud cover were considered in the study, because one of the main problems in these regions is the presence of a high cloud density [38,39]. According to this limitation, just 40% of remote sensing data was considered.
The predictors or independent variables (surface reflectance bands and environmental indexes) are listed in Table 1. The selection of remote sensing predictors was related to their possible correlation with the PM10 concentration [9,40,41,42]. In the case of the environmental indexes, the most popular indexes in LUR studies to retrieve PM10 were used. They were computed as (1), (2), (3), (4), and (5) in Table 2, respectively.

2.4. LUR Models

LUR models are an alternative to predict the spatialization of air pollutants, particularly when the number of AQMN stations is limited. They use different geographical variables such as roads, traffic information, meteorological and remote sensing data, and other environmental variables, in order to build a model to retrieve air pollutants. However, often several geographical variables are not available. Thus, we should use simple alternatives, such as free remote sensing data, as variables to approach a LUR model.
In most cases, LUR uses MLR to establish the model [47,48]. MLR allows an easy and simple model construction. In our case, the dependent variable is the quarterly PM10 value and the independent variables or spatial predictors are the remote sensing data in each coordinate of the AQMN station, considering the free cloud pixel value. Equation (6) shows the original LUR model, considering all the remote sensing predictors in MLR.
P M 10 = I + a N D V I b N D S I c S A V I + d N D W I e L S T f B g G + h R + i N I R + j S W I R + k Y l S
where I is the intercept, NDVI is normalized difference vegetation index, NDSI is the normalized difference soil index, SAVI is the soil-adjusted vegetation index, NDWI is the normalized difference water index, LST is the land surface temperature, B is the blue band, G is the green band, R is the red band, NIR is the near infrared band, SWIR is the shortwave infrared band, Y is the year of image acquisition, S is the three-month-averages of image acquisition (January–March—1, April–June—2, July–September—3, and October–November—4), a, b, …, l, are the coefficients in each predictor. The other variables are described in Table 1.
Nevertheless, considering that multicollinearity exists between remote sensing variables [31], different predictor techniques should be employed to compute the LUR model. We compare three techniques, namely, MLR with STW, PLS, and ANN, in order to find the fittest model (Figure 2).
In the first model, we use MLR considering an STW. It contemplates different parameters in order to identify the most adequate/influencing variables as predictors. The parameters used to subset the variables are: (i) The residual sum of squares for each model (RSS); (ii) the adjusted regression coefficient R2 (Adj. R2); (iii) Mallows’ Cp (CP) and; (iv) Bayesian information criterion (BIC).
The second model uses PLS with the STW criteria to select the predictors. The main challenge when using PLS is to avoid multicollinearity, finding an alternative when we have few data and a significant number of predictors [49]. PLS generates new latent variables or components in a lineal way.
Finally, the last model uses an ANN in an MLP, with a hidden layer and six hidden nodes to compute the predictive model. The nodes are computed according to [50]. In this model, we use all the predictors. This method is used when the model is complex, giving a different weight to each predictor corresponding to its importance. Additionally, we use a non-linear activation function with backpropagation. The training data to build the MLP consider 75% of the dataset and the remaining 25% for test. We use a backpropagation approach to train the algorithm. The R studio software was used in this study to extract the data and to compute all the models.

3. Results

PM10 ground measurements and remote sensing data are matched in a table with the same date. Thus, the unique condition is to consider remote sensing data with less than 10% cloud density. So, the three-month-averages matching tables for each sensor contain 35 observations for Landsat-7, 93 observations for Landsat-8, and 108 observations for MODIS. The main reasons to have only these numbers of observations are the high cloud density in the study area and the incomplete/not available air pollution data. Furthermore, the criteria to select predict variables consider five dependent variables for Landsat-7, eight dependent variables for Landast-8, and six dependent variables for MODIS, for each STW and PLS model, as shown in Table 3. They were obtained according to STW criteria (RSS, Adj. R2, CP, and BIC). The variables common to all the three cases considered are blue band, near infrared (NIR) band, and normalized difference vegetation index (NDVI).
The LUR models are computed considering STW and PLS regressions in a linear way and MLP in a non-linear way. They are shown and compared in Table 4 (Equations (7)–(12)). In the case of Landsat-7, the STW shows a coefficient of determination (R2) of 0.37, the PLS a R2 of 0.36, and, for MLP, a R2 of 0.46. The lowest root-mean-square error (RMSE) was obtained for STW with a value of 9.47. For Landsat-8, in STW a R2 of 0.42 was obtained, and a R2 of 0.43 for PLS, and a R2 of 0.68 for MLP (Figure 3). The lowest RMSE obtained was for MLP. Finally, for MODIS, a R2 of 0.15 for STW, a R2 of 0.19 for PLS and a R2 of 0.25 for MLP were obtained. The lowest RMSE was for STW.
The results in Table 4 show that Landsat-8 data with MLP are the fittest model. The MLP employed (Figure 4) has one hidden layer with six hidden nodes.
Figure 5 shows the relative variable importance according to the assigned weights, where the red band is the most significant in the model, while LST presented the lowest significance.
The Landsat-8 LUR-MLP model is chosen to predict PM10, considering the highest R2 and the lowest RMSE. In Figure 6, the quarterly maps show the PM10 spatial concentration during 2015, in a color scale in µg/m3. The white gaps showed in the maps are clouds with a high density.

4. Discussion

As demonstrated in this study, LUR models are an interesting alternative to model air quality, specifically PM10 concentrations, when the in-situ air quality measures are insufficient. Usually, most of the predictors are geographical variables (such as roads), traffic, meteorological data, and others [13]. LUR models are usually applied in small cities or regions where AQMN stations are limited [51], and where spatial interpolation techniques, such as ordinary kriging or inverse distance weighting, cannot be applied, considering the low number of ground measurements available [52]. One of the main problems with these geographic variables is the low accessibility to the data and the time of acquisition. Sometimes, these variables are obsolete, and they are not enough to establish a possible trend.
In this study, we propose an alternative, considering only free remote sensing variables. We apply this approach to the city of Quito, Ecuador, during the period between 2013 and 2017, in order to compare three different satellite data. Quito is growing in new poles. When REEMAQ was established in 2002, Quito did not have its current size and configuration. Now, REEMAQ is an obsolete air quality network, especially in the distribution of stations, which urgently needs improvement. Air pollutant spatial models are techniques based on interpolation or geostatistics approaches, which can be useful if a reasonable number of stations are available with a good spatial distribution [53]. In this study, only nine stations are available. Moreover, in some cases, the data are incomplete during some months. Additionally, according to some authors [7,8], it is possible to have more air ground data with low-cost sensors, however they must be implemented in the cities in order to monitor the air quality. The alternative to improve the air quality model in Quito is to establish different spatiotemporal LUR models, considering only remote sensing data as predictor variables. A preliminary study shows the use of only remote sensing variables but using an MLR in order to build the model. The limitation is the use of all remote sensing predictors without considering the collinearity [12]. In order to establish the models, three different remote sensing data were tested (Landsat-7, Landsat-8, and MODIS) and three techniques for modeling (STW, PLS, and MLP) were employed. The selected variables to compute the model are the visible NIR and SWIR bands of the three sensors, different environmental indices (NDVI, NDSI, SAVI, NDWI), and LST, computed from the data retrieved from each sensor. Most of the studies published use aerosol optical thickness (AOT) derived from MODIS (MOD04) [54] as the input in LUR models, however, this product has a low spatial resolution (3 × 3 km) [55]. This resolution is not practicable when considering cities like Quito, where the maximum width is near to 10 km. On the other hand, some MODIS products do not have a suitable quality for local studies [56]. Other studies use Landsat-8 combined with AOT ground stations to spatially model the AOT [24]. This could be a good alternative, however in our study area, we do not have access to this information between 2013 and 2017.
Comparing the LUR models established, we found that Landsat-8 is the most adequate sensor to model PM10 concentration, considering the 93 records and according to a previous study [12]. MLP is the fittest alternative to model PM10, with a R2 of 0.68 and a RMSE of 6.22. In this context, the non-linear model (MLP) has a fitter result when compared to the linear models (STW and PLS) [26]. Therefore, the LUR-MLP model was chosen to map the spatial concentration of PM10 in Quito, between 2013 to 2017. MODIS presents the lowest R2 with a value of 0.19, considering the PLS regression. This could be related to the lowest spatial resolution. Thus, most of the LUR models use MLR or STW. MLR is easy to implement. However, one of the main problems could be the multicollinearity, because MLR does not analyze the correlation between predictors [57]. On the other hand, the linear PLS helps to avoid the multicollinearity creating new latent variables with few observations [34]. In a future work, a possible combination between STW (in order to select the predictor variables), non-linear PLS (in order to avoid the multicollinearity between remote sensing data), and a machine learning technique (as ANN) can improve the LUR models [58].
In the case of the predictors, all the models present, in all the cases, the variables blue band, NIR, and NDVI. In the case of NDVI, a possible reason is the direct influence of vegetation on the PM10 concentration and distribution [18]. On the other hand, the red band has the most importance in MLP, because there could be a relationship between the retrieval of PM10 with the blue and red bands [27]. In most of the LUR studies, the authors use traffic, roads, meteorological, land use, population, and other predictors, reporting values of R2 according to the reality of each local [26]. These models also considered different time periods (monthly, quarterly, yearly). The main difference of our approach is the use of remote sensing data only as predictors, which can replace the necessity to have all geographical variables. Another advantage is the data availability and continuity in order to recompute the LUR models. One of the main limitations of our model is the high cloud density presented in the images during all the year [38], making it complicated to use more data in order to improve the model. However, a future work will intend to have more satellite sensors or to find new alternatives to recover remote sensing data contaminated with clouds [39].
Figure 6 shows variations year by year according to PM10 mean concentration based on in-situ data (REEMAQ Stations). We choose the third season to show the variation year by year (2013–2017), because we have more remote sensing data available (without a high cloud density) during this time-window. According to the results presented in Figure 6, an increasing of PM10 concentration between 2013 to 2017 is notorious in the most of the urban parishes [59]. However, some areas showed a decreasing tendency in some years. The lowest PM10 concentration was found in some peripheral parishes during the 2014 year, because the air stations that influence these parishes (Tumbaco and Los Chillos) had a variation in the concentrations. Thus, Tumbaco and Los Chillos stations are in the east part of the study area and began to present the lower values in 2014 followed by 2013, according to the in-situ measures. After 2014, the PM10 values for these stations began to increase. The main reason could be related to the new operation of the new airport of Quito (2013), and the construction of important road infrastructures around it (end of 2014). Another possible explication is the traffic influence during the last years, particularly in the peripheral areas where an increase was registered since 2015 and also the increase of the population in these areas [60]. In the northern parishes, the stations of San Antonio P. and Carapungo are influenced by the presence of stone and sandy point quarries [61]. The stations Centro, Belisario, and El Camal are in the city downtown, and it is the main reason that an increase of PM10 concentration during the last years is verified in the center parishes.
According to our results, several areas presented concentrations higher than 50 µg/m3 (Figure 6), while the World Health Organization (WHO) recommends, in its guidelines, maximum values of 20 µg/m3 as an annual mean and 50 µg/m3 as a 24-h mean [1]. However, some areas do not show values, due to the high cloud density (white areas in Figure 6). Thus, the PM10 concentration maps from the Landsat-8 LUR-MLP model can help local government decision makers to manage air quality concentration and to organize new policies, specifically in the places where the highest concentrations were identified.

5. Conclusions

In this study, three different satellite datasets were compared to retrieve models of PM10 through LUR, in Quito, Ecuador between 2013 and 2017. Additionally, three techniques were compared to compute the LUR models (SWR, PLS, and MLP). From this work, several conclusions could be taken: (i) It is possible to build empirical models established using only remote sensing variables as predictors without any other geographic variables, as traditional LUR models; (ii) in the case of Quito, the study results show that Landsat-8 provides the most suitable satellite data to retrieve PM10, in comparison with Landsat-7 and MODIS; (iii) MLP allows the obtainment of the most robust result in comparison with the other modeling techniques. MLP is the fittest alternative to model PM10, with a R2 of 0.68 and a RMSE of 6.22, and; (iv) the MLP model established helps in the spatial mapping of PM10, where in the time window of this study, were found areas with PM10 values higher than the limit established by WHO. Thus, these models are useful in the management of air quality in the city of Quito and can be applied to other locations with similar characteristics.

Author Contributions

Conceptualization, C.I.A.-M.; data curation, N.T. and V.V.; investigation, C.I.A.-M.; supervision, A.C.T.; writing—review and editing, C.I.A.-M.

Acknowledgments

The study is part of a PhD thesis in Surveying Engineering at the University of Porto, Portugal, supported by the Salesian Polytechnic University, Ecuador. This work was supervised at the University of Porto by Prof. Ana Cláudia Teodoro.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Map of the study area (red dots for REEMAQ (Red Metropolitana de Monitoreo Atmosférico de Quito) stations and green polygons for urban parishes).
Figure 1. Map of the study area (red dots for REEMAQ (Red Metropolitana de Monitoreo Atmosférico de Quito) stations and green polygons for urban parishes).
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Figure 2. Workflow of the methodology proposed to establish the land use regression (LUR) models.
Figure 2. Workflow of the methodology proposed to establish the land use regression (LUR) models.
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Figure 3. Comparison between R2 and root mean square error (RMSE) in the model results for Landsat-8 data: (a) stepwise regression (STW); (b) partial least square (PLS); (c) MLP.
Figure 3. Comparison between R2 and root mean square error (RMSE) in the model results for Landsat-8 data: (a) stepwise regression (STW); (b) partial least square (PLS); (c) MLP.
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Figure 4. MLP diagram for Landsat-8 data.
Figure 4. MLP diagram for Landsat-8 data.
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Figure 5. Relative variable importance in Landsat-8 MLP. The scale is between −0.5 and 1, where 0 is the lowest (null) importance.
Figure 5. Relative variable importance in Landsat-8 MLP. The scale is between −0.5 and 1, where 0 is the lowest (null) importance.
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Figure 6. PM10 concentrations during the season 4 (July to September) with Landsat-8 LUR-MLP model in: (a) 2013; (b) 2014; (c) 2015; (d) 2016; (e) 2017. The white gaps represent areas with a high cloud density.
Figure 6. PM10 concentrations during the season 4 (July to September) with Landsat-8 LUR-MLP model in: (a) 2013; (b) 2014; (c) 2015; (d) 2016; (e) 2017. The white gaps represent areas with a high cloud density.
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Table 1. Characteristics of satellites and sensors used in the study.
Table 1. Characteristics of satellites and sensors used in the study.
SatelliteSensorOverpass Time of SatelliteSpatial Resolution
Landsat-7Enhanced Thematic Mapper Plus (ETM+)16 days30 m
Landsat-8Operational Land Imager (OLI)
Thermal Infrared Sensor (TIRS)
16 days30 m
Terra (EOS AM-1)
Aqua (EOS PM-1)
Moderate Resolution Imaging Spectroradiometer (MODIS) MCD43A41 to 2 days500 m
Table 2. Remote sensing predictors used to build the model for each sensor.
Table 2. Remote sensing predictors used to build the model for each sensor.
PredictorsLandsat-7Landsat-8MODIS
Blue band (B)
Green band (G)
Red band (R)
Near Infrared (NIR)
Short Wave infrared (SWIR)
Landsat surface data
Level-2
Landsat surface data Level-2MODIS MOD09A1
MYD09A1 products
Normalized Difference Vegetation Index (NDVI) N D V I = N I R R N I R + R (1)MODIS MOD13Q1
MYD13Q1products
Normalized Difference Soil Index (NDSI) N D S I = S W I R N I R S W I R + N I R (2)
Soil-Adjusted Vegetation Index (SAVI) S A V I = ( 1 + L ) N I R R N I R + R + L (3)
where L represents a minimal change in the soil brightness with a value of 0.5 [43]
Normalized Difference Water Index (NDWI) N D W I = G N I R G + N I R (4)
Land Surface Temperature (LST) L S T = B T ( 1 + ( λ B T ρ ) l n ε ) 273.15 (5)
where BT is the brightness temperature, λ is the center wavelength (Landsat-7 = 11.45 μm, Landsat-8 = 10.8 μm) [44], ρ is a constant and ε is the emissivity [45,46].
MODIS MOD11A1
MYD11A1 products
Table 3. Number of observations and predictors per satellite to build the LUR models.
Table 3. Number of observations and predictors per satellite to build the LUR models.
VariableLandsat-7Landsat-8MODIS
No. Observations3593108
No. Predictors586
PredictorsNDVI
B
R
NIR
S
NDVI
SAVI
LST
B
G
R
NIR
Y
NDVI
B
G
R
NIR
S
Table 4. LUR models for each sensor with different regression techniques. In the case of multilayer perceptron (MLP), the model is not linear.
Table 4. LUR models for each sensor with different regression techniques. In the case of multilayer perceptron (MLP), the model is not linear.
SensorModelEquation/MethodCoefficient of Determination (R2)Root-Mean-Square Error (RMSE)
Landsat-7 ETM+Stepwise regression (STW) PM 10 = 26.770 + 205.289 NDVI 0.073 B + 0.144 R 0.048 NIR + 2.270 S (7)0.379.47
Partial least square regression (PLS) PM 10 = 24.786 54.369 NDVI 0.059 B + 0.049 R 0.008 NIR + 2.165 S (8)0.3610.14
Multilayer perceptron (MLP)Non-linear. One hidden layer and six hidden nodes. 0.4612.69
Landsat-8 OLI/TIRSSTW PM 10 =   4125.506   +   350.130 NDVI   200.334 SAVI 0.936 LST 0.035 B 0.036 G + 0.099 R 0.013 NIR + 2.061 Y (9)0.429.19
PLS PM 10 =   4146.508   +   115.816 NDVI   40.465 SAVI 1.020 LST 0.036 B 0.038 G + 0.104 R 0.016 NIR + 2.073 Y (10)0.439.46
MLPNon-linear. One hidden layer and six hidden nodes.0.686.22
MODISSTW PM 10 = 1.248 + 93.411 NDVI + 0.056 B 0.070 G + 0.056 R 0.017 NIR + 3.190 S (11)0.1512.91
PLS PM 10 = 5.661 + 79.106 NDVI + 0.060 B 0.072 G + 0.050 R 0.014 NIR + 3.308 S (12)0.1912.93
MLPNon-linear. One hidden layer and six hidden nodes.0.2516.38

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MDPI and ACS Style

Alvarez-Mendoza, C.I.; Teodoro, A.C.; Torres, N.; Vivanco, V. Assessment of Remote Sensing Data to Model PM10 Estimation in Cities with a Low Number of Air Quality Stations: A Case of Study in Quito, Ecuador. Environments 2019, 6, 85. https://doi.org/10.3390/environments6070085

AMA Style

Alvarez-Mendoza CI, Teodoro AC, Torres N, Vivanco V. Assessment of Remote Sensing Data to Model PM10 Estimation in Cities with a Low Number of Air Quality Stations: A Case of Study in Quito, Ecuador. Environments. 2019; 6(7):85. https://doi.org/10.3390/environments6070085

Chicago/Turabian Style

Alvarez-Mendoza, Cesar I., Ana Claudia Teodoro, Nelly Torres, and Valeria Vivanco. 2019. "Assessment of Remote Sensing Data to Model PM10 Estimation in Cities with a Low Number of Air Quality Stations: A Case of Study in Quito, Ecuador" Environments 6, no. 7: 85. https://doi.org/10.3390/environments6070085

APA Style

Alvarez-Mendoza, C. I., Teodoro, A. C., Torres, N., & Vivanco, V. (2019). Assessment of Remote Sensing Data to Model PM10 Estimation in Cities with a Low Number of Air Quality Stations: A Case of Study in Quito, Ecuador. Environments, 6(7), 85. https://doi.org/10.3390/environments6070085

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