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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">epe</journal-id>
      <journal-title-group>
        <journal-title>Energy and Power Engineering</journal-title>
      </journal-title-group>
      <issn pub-type="epub">1947-3818</issn>
      <issn pub-type="ppub">1949-243X</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/epe.2026.1810029</article-id>
      <article-id pub-id-type="publisher-id">epe-154452</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Engineering</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Identification and Solar Potential Estimation Using Machine Learning and Sentinel-2 Satellite Imagery in Rural Regions of Colombia and Chile</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Carroll-Janer</surname>
            <given-names>Ivan</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> Faculty of Economics, Los Andes University, Bogota, Colombia </aff>
      <author-notes>
        <fn fn-type="conflict" id="fn-conflict">
          <p>The author declares no conflicts of interest regarding the publication of this paper.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub">
        <day>13</day>
        <month>10</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>10</month>
        <year>2026</year>
      </pub-date>
      <volume>18</volume>
      <issue>10</issue>
      <fpage>635</fpage>
      <lpage>650</lpage>
      <history>
        <date date-type="received">
          <day>03</day>
          <month>09</month>
          <year>2026</year>
        </date>
        <date date-type="accepted">
          <day>10</day>
          <month>10</month>
          <year>2026</year>
        </date>
        <date date-type="published">
          <day>13</day>
          <month>10</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© 2026 by the authors and Scientific Research Publishing Inc.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access">
          <license-p> This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link> ). </license-p>
        </license>
      </permissions>
      <self-uri content-type="doi" xlink:href="https://doi.org/10.4236/epe.2026.1810029">https://doi.org/10.4236/epe.2026.1810029</self-uri>
      <abstract>
        <p>This paper applies a MaxEnt classification workflow to Sentinel-2 spectral bands and derived indices to map rooftops, non-intervened land, and intervened land across selected rural areas in Colombia and Chile. The study compares detected rooftop counts with housing-census counts and links the classification output to a photovoltaic screening tool. It identifies cloud cover, snow-related spectral confusion, and roof geometry as important constraints on wider application.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Sentinel-2</kwd>
        <kwd>MaxEnt</kwd>
        <kwd>Copernicus</kwd>
        <kwd>Machine Learning</kwd>
        <kwd>Photovoltaic Tool</kwd>
        <kwd>Remote Sensing</kwd>
        <kwd>Rooftop Solar PV</kwd>
        <kwd>Distributed Generation</kwd>
        <kwd>Energy Transition</kwd>
        <kwd>Colombia</kwd>
        <kwd>Chile</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Tool Development for Estimating Rooftop Solar Potential</title>
      <p>In Colombia, national land administration directives and remote sensing frameworks have increasingly prioritized satellite telemetry to democratize spatial technology and formalize rural infrastructure. Within this directive, multidisciplinary initiatives led by Los Andes University have advanced satellite telemetry applications using Sentinel-2 and data cube architectures across diverse domains, including deforestation tracking, agricultural monitoring [<xref ref-type="bibr" rid="B1">1</xref>][<xref ref-type="bibr" rid="B2">2</xref>], biomass aerosol transport [<xref ref-type="bibr" rid="B3">3</xref>], ecosystem intervention [<xref ref-type="bibr" rid="B4">4</xref>], and land-use land-cover change from native forests to extensive agriculture [<xref ref-type="bibr" rid="B5">5</xref>]. Building directly upon these remote sensing workflows, the present study couples MaxEnt machine-learning roof extraction with solar radiation modeling across high-priority rural municipalities, providing a scalable spatial pipeline for decentralized photovoltaic potential mapping.</p>
      <p>Sentinel-2 imagery from the Copernicus program was ingested via Google Earth Engine for each study polygon. Median surface reflectance composites were computed for the period between January 1, 2023, and May 31, 2023, filtered for cloud coverage below 10%. As illustrated in <xref ref-type="fig" rid="fig1">Figure 1</xref>, Sentinel-2 spectral bands with 10-metre spatial resolution (B2 at 490 nm, B3 at 560 nm, B4 at 665 nm) as well as bands 8, 8A, 11, and 12 were extracted. Visible spectrum bands (B2 at 490 nm, B3 at 560 nm, B4 at 665 nm) and the Near-Infrared band (B8 at 842 nm) operate at a 10-meter spatial resolution.</p>
      <fig id="fig1">
        <label>Figure 1</label>
        <graphic xlink:href="https://html.scirp.org/file/6203133-rId15.jpeg?20261013111536" />
      </fig>
      <p>Adapted from European Space Agency online archive [<xref ref-type="bibr" rid="B6">6</xref>].</p>
      <p><bold>Figure 1.</bold> Sentinel-2 10 metre spatial resolution.</p>
      <sec id="sec1dot1">
        <title>1.1. Bands and Indexes</title>
        <p>As shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>, bands 8A (865 nm), 11 (1610 nm), and 12 (2190 nm)—covering the narrow NIR and Short-Wave Infrared (SWIR) spectra—operate at a 20-metre spatial resolution.</p>
        <fig id="fig2">
          <label>Figure 2</label>
          <graphic xlink:href="https://html.scirp.org/file/6203133-rId16.jpeg?20261013111536" />
        </fig>
        <p>Adapted from European Space Agency online archive [<xref ref-type="bibr" rid="B6">6</xref>].</p>
        <p><bold>Figure 2</bold><bold>.</bold> Sentinel-2 20 metre spatial resolution.</p>
        <p>Prior to model training and feature extraction, the 20 m spatial resolution bands (B8A, B11, and B12) were resampled to match the 10 m native grid of the visible and NIR bands (B2, B3, B4, B8). Resampling was executed in Google Earth Engine using nearest-neighbor interpolation to preserve raw spectral integrity without introducing synthetic values. All spectral layers were co-registered and snapped to the unified 10 m Copernicus Sentinel-2 UTM grid, establishing a consistent 10 m × 10 m pixel basis across all input features. </p>
        <p>The inclusion of the SWIR channels (B11 and B12) is physical-chemically critical for structural classification: these wavelengths overlap directly with fundamental liquid water absorption features (H<sub>2</sub>O molecular absorption bands). Consequently, they capture micro-scale moisture content in canopy foliage and upper soil layers, enabling robust spectral discrimination between moisture-rich natural surfaces (dense vegetation, moist soils) and spectrally dry, non-photosynthetic artificial materials (such as concrete, corrugated metal, and roofing tiles).</p>
        <p>Using these spectral channels, four distinct spectral indices were generated through mathematical combinations of visible, NIR, and SWIR wavelengths: NDVI, NDWI, SAVI, and NDBI.</p>
        <p>NDVI: Normalized Difference Vegetation Index is calculated as the normalized ratio between the red band (Band 4) and the near-infrared band (Band 8). </p>
        <disp-formula id="FD1">
          <mml:math display="inline">
            <mml:mrow>
              <mml:mtext>NDVI</mml:mtext>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mtext>Band</mml:mtext>
                  <mml:mn>8</mml:mn>
                  <mml:mo>−</mml:mo>
                  <mml:mtext>Band</mml:mtext>
                  <mml:mn>4</mml:mn>
                </mml:mrow>
                <mml:mrow>
                  <mml:mtext>Band</mml:mtext>
                  <mml:mn>8</mml:mn>
                  <mml:mo>+</mml:mo>
                  <mml:mtext>Band</mml:mtext>
                  <mml:mn>4</mml:mn>
                </mml:mrow>
              </mml:mfrac>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>This index measures photosynthetic activity and plant vigor based on chlorophyll absorption characteristics [<xref ref-type="bibr" rid="B7">7</xref>]. NDVI values range between −1 and 1; negative values (near −1) indicate non-vegetated surfaces such as water, rock, or snow. Values between 0 and 0.5 correlate with sparse vegetation, shrubs, or grasslands, whereas values exceeding 0.5 correspond to dense forest canopies and active crops.</p>
        <p>NDWI: Normalized Difference Water Index is computed using the green band (Band 3) and NIR band (Band 8).</p>
        <disp-formula id="FD2">
          <mml:math display="inline">
            <mml:mrow>
              <mml:mtext>NDWI</mml:mtext>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mtext>Band</mml:mtext>
                  <mml:mn>3</mml:mn>
                  <mml:mo>−</mml:mo>
                  <mml:mtext>Band 8</mml:mtext>
                </mml:mrow>
                <mml:mrow>
                  <mml:mtext>Band 3</mml:mtext>
                  <mml:mo>+</mml:mo>
                  <mml:mtext>Band 8</mml:mtext>
                </mml:mrow>
              </mml:mfrac>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>Because open water surfaces strongly absorb NIR light, this ratio isolates aquatic features such as rivers and lakes [<xref ref-type="bibr" rid="B8">8</xref>]. Positive values (&gt;0) represent open water bodies or high canopy water content, while negative values indicate dry or moisture-stressed surfaces.</p>
        <p>SAVI: Soil-Adjusted Vegetation Index integrates a soil-brightness correction factor (L = 0.428) into the standard vegetation index formula to minimize background soil reflectance influence [<xref ref-type="bibr" rid="B9">9</xref>].</p>
        <disp-formula id="FD3">
          <mml:math display="inline">
            <mml:mrow>
              <mml:mtext>SAVI</mml:mtext>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mtext>Band</mml:mtext>
                  <mml:mn>8</mml:mn>
                  <mml:mo>−</mml:mo>
                  <mml:mtext>Band</mml:mtext>
                  <mml:mn>4</mml:mn>
                </mml:mrow>
                <mml:mrow>
                  <mml:mtext>Band</mml:mtext>
                  <mml:mn>8</mml:mn>
                  <mml:mo>+</mml:mo>
                  <mml:mtext>Band</mml:mtext>
                  <mml:mn>4</mml:mn>
                  <mml:mo>+</mml:mo>
                  <mml:mn>0.428</mml:mn>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>×</mml:mo>
              <mml:mn>1.428</mml:mn>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>SAVI is particularly effective in arid regions, areas with low vegetation density, or exposed soils [<xref ref-type="bibr" rid="B10">10</xref>]. Given Colombia’s mountainous terrain and high susceptibility to landslides, soil-adjusted metrics are critical for discriminating exposed, highly erodible terrain from built structures.</p>
        <p>NDBI: Normalized Difference Built-up Index—NDBI—isolates built-up infrastructure by leveraging the spectral contrast between SWIR (Band 11) and NIR (Band 8).</p>
        <disp-formula id="FD4">
          <mml:math display="inline">
            <mml:mrow>
              <mml:mtext>NDBI</mml:mtext>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mtext>Band 11</mml:mtext>
                  <mml:mo>−</mml:mo>
                  <mml:mtext>Band 8</mml:mtext>
                </mml:mrow>
                <mml:mrow>
                  <mml:mtext>Band 11</mml:mtext>
                  <mml:mo>+</mml:mo>
                  <mml:mtext>Band 8</mml:mtext>
                </mml:mrow>
              </mml:mfrac>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>Values close to +1 correlate with high built-up density and urban surfaces, whereas negative values correspond to natural land cover types [<xref ref-type="bibr" rid="B11">11</xref>].</p>
        <p>In summary, the machine learning input feature space combined Sentinel-2 spectral bands (2, 3, 4, 8, 8A, 11, 12) with the derived indices (NDVI, NDWI, SAVI, NDBI).</p>
      </sec>
      <sec id="sec1dot2">
        <title>1.2. MaxEnt Algorithm and Model Configuration</title>
        <p>Supervised machine learning and reflectance classification were conducted using Maximum Entropy (MaxEnt) software. MaxEnt processing requires two main inputs: presence sample points and environmental layers. Ground-truth training samples were digitized using high-resolution imagery (&lt;1 m) in Google Earth Pro (powered by Maxar Technologies, Airbus, and CNES). Environmental layers (spectral bands and derived indices) were prepared as ASCII grid files (.asc). Multi-class outputs were structured by evaluating parallel binary classifiers, capped at a maximum of three classifiers per sub-dataset to maximize structural accuracy [<xref ref-type="bibr" rid="B12">12</xref>][<xref ref-type="bibr" rid="B13">13</xref>].</p>
        <p>To ensure reproducibility and rigorous model calibration, MaxEnt was configured with the following parameters:</p>
        <p>Background Samples: 10,000 background points randomly sampled across non-built land-cover classes within each study polygon.Feature Classes: Linear (L), Quadratic (Q), and Product (P) features were selected to model non-linear responses across spectral bands and derived indices.Regularization &amp; Replication: A regularization multiplier of ß = 1.0 was applied to constrain overfitting, combined with a 5-fold cross-validation procedure.Threshold Selection: Continuous logistic outputs (Probability <italic>ε</italic> [0, 1]) were converted to binary predictions using the 10th percentile training presence threshold.Overlap Resolution: Overlapping predictions between parallel binary classifiers were resolved by assigning pixels the highest logistic probability output across competing models.</p>
        <p>The mapped target of the classification algorithm is defined as a roof-containing pixel at a 10 m spatial resolution. Because a single 10 m × 10 m pixel (100 m<sup>2</sup>) may encompass multiple small structures, part of a single building, or mixed land cover (e.g., roof-vegetation-soil composites), continuous probability outputs from MaxEnt were thresholded into a binary mask of roof-containing pixels. To derive discrete rooftop counts for administrative comparison, adjacent classified pixels were clustered into continuous spatial polygons using 8-neighbor vectorization. Small isolated clusters below a minimum structural threshold (&lt;20 m<sup>2</sup>) were filtered out to eliminate speckle noise, while spatial centroid decomposition was applied to larger continuous roof clusters to approximate individual building units.</p>
        <p>Data analysis, spatial manipulation, and visualization were executed using R Studio (v1.4.1717) and QGIS (v3.16.11). R processing utilized the “sp” and “raster” libraries, following spatial coding standards [<xref ref-type="bibr" rid="B14">14</xref>][<xref ref-type="bibr" rid="B15">15</xref>].</p>
      </sec>
    </sec>
    <sec id="sec2">
      <title>2. Study Area Polygon Definition and Data Training</title>
      <p><xref ref-type="fig" rid="fig3">Figure 3</xref> illustrates the spatial boundaries of the target study polygons across Colombia and Chile, where eleven distinct Sentinel-2 satellite images were processed.</p>
      <fig id="fig3">
        <label>Figure 3</label>
        <graphic xlink:href="https://html.scirp.org/file/6203133-rId25.jpeg?20261013111537" />
      </fig>
      <p>Map prepared by the author using QGIS.</p>
      <p><bold>Figure 3</bold><bold>.</bold>Division of study areas for the application of the rooftop identification algorithm.</p>
      <p>Model evaluations were re-run iteratively whenever unclassified pixel ratios exceeded 10% or rooftop spatial distribution deviated significantly from official housing census baselines [<xref ref-type="bibr" rid="B16">16</xref>][<xref ref-type="bibr" rid="B17">17</xref>]. Official census data served as a structural baseline under the assumption that one residential dwelling corresponds to at least one primary rooftop. However, classified rooftop counts were expected to moderately exceed census figures, as rural homesteads frequently feature detached structures (e.g., separate kitchens, outdoor sanitation facilities, or livestock shelters).</p>
      <p>Although iterative re-training increased processing time, it ensured high classification fidelity across heterogeneous rural landscapes and minimized unclassified pixels.</p>
      <p>Individual Sentinel-2 scenes cover an area of 110 km × 110 km. Custom scripts executed via Google Earth Engine clipped imagery directly to target study polygons. Where study regions exceeded single scene footprints, target areas were sub-divided. In Colombia, study zones were partitioned as follows:</p>
      <p>Bolivar Department (PDET Municipalities): Northern Bolivar (Cordoba, El Carmen de Bolivar, El Guamo, Maria la Baja, San Jacinto, San Juan Nepomuceno, Zambrano); North-South Bolivar (Arenal, Morales, Simití); Central South Bolivar (Santa Rosa del Sur); Southernmost Bolivar (Cantagallo, San Pablo).Cesar Department (PDET Municipalities): Northern Cesar (Pueblo Bello, Valledupar); North-South Cesar (San Diego, La Paz, Manaure); Central-South Cesar (Agustín Codazzi); Southernmost Cesar (Becerril, La Jagua de Ibirico).</p>
      <fig id="fig4">
        <label>Figure 4</label>
        <graphic xlink:href="https://html.scirp.org/file/6203133-rId26.jpeg?20261013111537" />
      </fig>
      <p>Map prepared by the author using QGIS.</p>
      <p><bold>Figure 4.</bold>Map of Chile showing the division of study areas for the application of the rooftop identification algorithm.</p>
      <p>The total area evaluated in Colombia comprised 125,340,904 pixels of 100 m<sup>2</sup> (12,534 km<sup>2</sup>) across Bolivar and 107,528,976 pixels of 100 m<sup>2</sup> (10,752 km<sup>2</sup>) across Cesar, totaling 23,286 km<sup>2</sup> (<italic>a spatial extent larger than the European nation of Slovenia equivalent to</italic>20,273 km<sup>2</sup>).</p>
      <p>In Chile, the study targeted three agricultural and administrative communes: Casablanca, Parral, and Victoria, as illustrated in <xref ref-type="fig" rid="fig4">Figure 4</xref>.</p>
      <p>A total of 47,580,000 pixels of 100 m<sup>2</sup> (4758 km<sup>2</sup>) were evaluated—breakdown by commune: Casablanca (1114 km<sup>2</sup>), Parral (2035 km<sup>2</sup>), and Victoria (1609 km<sup>2</sup>). Median composite scenes (Jan-May 2023, cloud cover &lt; 10%) were processed per commune via Google Earth Engine. Boundary buffering was evaluated but discarded due to scene spatial limit constraints. To prevent spatial autocorrelation from artificially inflating model performance, accuracy metrics were evaluated using spatial block cross-validation (spatial holdout splits) rather than random point selection. Test points were geographically separated from training clusters using spatial buffering to guarantee independence. </p>
      <fig id="fig5">
        <label>Figure 5</label>
        <graphic xlink:href="https://html.scirp.org/file/6203133-rId27.jpeg?20261013111537" />
      </fig>
      <p>High-spatial-resolution imagery &lt;1 m obtained from Google Earth Pro.</p>
      <p><bold>Figure 5</bold><bold>.</bold> Rooftop categories illustrating structural and color variations included in the training dataset.</p>
      <p>As shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>, high-spatial-resolution imagery (&lt;1 m) obtained from Google Earth Pro covers all structural roofs regardless of color or material composition. Visible color variations (white, gray, red, blue, orange) and structural materials (corrugated zinc, clay tile, plastic, concrete) were incorporated into model feature spaces without requiring individual material-class pre-labeling.</p>
      <p>For each study polygon, 300 supervised ground-truth points were established using high-resolution Google Earth Pro imagery: 100 points for “Rooftops”, 100 for “Non-Intervened land”, and 100 for “Intervened land”, as follows considerations:</p>
      <p>Non-Intervened: Natural, unbuilt land covers, including primary forests, open water bodies, paramo vegetation, and high-altitude snowpack.10,000 background points randomly sampled across non-built land-cover classes within each study polygon.Intervened: Human-altered landscapes excluding buildings, such as agricultural crops, pastures, paved roads, and unpaved/dirt roads.Unclassified: Pixels remaining unassigned by the MaxEnt classification threshold.</p>
      <p>In Colombia, across 8 study polygons, a total of 2400 training points (800 rooftops, 800 non-intervened, 800 intervened) were carefully sampled, each maintaining a minimum concentric radius of 10 meters. In Chile, across 3 study polygons, 900 points were sampled following identical spatial buffering criteria.</p>
    </sec>
    <sec id="sec3">
      <title>3. Scenario Analysis of Distributed Energy Resources in the Study Regions</title>
      <p>Prior field implementation experience in regions like the Choco department demonstrated that persistent tropical cloud cover poses significant constraints for optical satellite analysis. Atmospheric moisture accumulation along the mountain slopes of Colombia’s three Andean ranges frequently obstructs optical sensors.</p>
      <p>Consequently, Bolivar and Cesar departments were selected as robust proof-of-concept regions due to consistently low cloud cover during dry seasons. Scaling this framework nationwide will require cloud-masking algorithms or synthetic aperture radar (SAR) integration to mitigate persistent atmospheric interference. </p>
      <p>According to long-term climatological observations from NASA’s MERRA-2 (Modern-Era Retrospective Analysis for Research and Applications) satellite dataset, high- and mid-level cloud fractions across Colombia in 2022 were heavily concentrated over the Pacific coastal region, as shown in <xref ref-type="fig" rid="fig6">Figure 6</xref>.</p>
      <fig id="fig6">
        <label>Figure 6</label>
        <graphic xlink:href="https://html.scirp.org/file/6203133-rId28.jpeg?20261013111538" />
      </fig>
      <p>Analysis and maps retrieved from the NASA Earth data Portal.</p>
      <p><bold>Figure 6.</bold>Annual average spatial distribution of high-altitude and mid-altitude cloud fractions over Colombia for 2022, derived from NASA MERRA-2 satellite data.</p>
      <p>Rooftop raster outputs were integrated directly into the web-based photovoltaic visualization tool. Solar PV generation potential was calculated using the following formulation:</p>
      <p><italic>P</italic><italic><sub>PV</sub></italic> = <italic>G</italic>*<italic>A</italic>*<italic>η</italic></p>
      <p>where <italic>P</italic><italic><sub>PV</sub></italic> represents the solar photovoltaic power output (W), <italic>G</italic> is the global solar irradiance (W/m<sup>2</sup>), <italic>A</italic> is the total rooftop panel area (m<sup>2</sup>), and <italic>η</italic> is the system conversion efficiency (<italic>η</italic> ≈ 0.20).</p>
      <p>The satellite screen capture of the Maxent process shown in <xref ref-type="fig" rid="fig7">Figure 7</xref> highlights a prominent classification challenge: spectral confusion between high-altitude snowpack and light-colored rooftops due to near-identical visible and shortwave reflectance signatures.</p>
      <p>A prominent classification challenge involved spectral confusion between high-altitude snowpack and light-colored rooftops due to near-identical visible and shortwave reflectance signatures. This misclassification was observed in high-elevation areas of Parral (<italic>Chile</italic>) and Central-Southern Cesar (<italic>Colombia</italic>).</p>
      <fig id="fig7">
        <label>Figure 7</label>
        <graphic xlink:href="https://html.scirp.org/file/6203133-rId29.jpeg?20261013111538" />
      </fig>
      <p>Satellite screen capture of Maxent process acquired by the author.</p>
      <p><bold>Figure 7.</bold> Classification error due to high-altitude snowpack interference during rooftop mapping. Model training was conducted in Google Earth Pro, and the Machine Learning model was executed using Copernicus Sentinel-2 satellite imagery (satellite image in MaxEnt captured by the author).</p>
    </sec>
    <sec id="sec4">
      <title>4. Opportunities for Improvement in Rooftop Solar Implementation</title>
      <p>Iterative model tuning confirmed that combining multi-spectral bands with vegetation, water, and built-up indices provides a robust foundation for automated rooftop detection. However, as illustrated in <xref ref-type="fig" rid="fig8">Figure 8</xref>, spatial limitations in usable rooftop surface area often arise due to specific building design features, as observed in the Parral Commune, Chile.</p>
      <p>Advanced spatial post-processing using commercial GIS platforms (e.g., ArcGIS Spatial Analyst) can enhance technical assessments by incorporating 3D building height models and rooftop pitch analysis. Tools such as “Area Solar Radiation” can calculate micro-level solar insolation by accounting for seasonal solar azimuth, shadows from adjacent structures, roof slope, and aspect orientation.</p>
      <p>While rural rooftop structures in Colombia exhibit relatively homogeneous, flat geometries, residential architecture in Chile features complex roof slopes, gables, and dormer windows. These architectural features introduce spatial shading constraints and reduce effective usable panel area. High-resolution spatial analysis in Chilean communes showed that decorative architectural elements reduce contiguous roof plane lengths (e.g., from an overall roof dimension of 11.89 m down to 3.10 m usable space before encountering structural obstructions). and import your prepared text file. You are now ready to style your paper.</p>
      <fig id="fig8">
        <label>Figure 8</label>
        <graphic xlink:href="https://html.scirp.org/file/6203133-rId30.jpeg?20261013111538" />
      </fig>
      <p>High-spatial-resolution imagery (&lt;1 m) obtained from Google Earth Pro.</p>
      <p><bold>Figure 8.</bold>Spatial limitations in usable rooftop surface area due to building design features in the Parral Commune, Chile.</p>
      <fig id="fig9">
        <label>Figure 9</label>
        <graphic xlink:href="https://html.scirp.org/file/6203133-rId31.jpeg?20261013111538" />
      </fig>
      <p>High-spatial-resolution imagery (&lt;1 m) obtained from Google Earth Pro.</p>
      <p><bold>Figure 9.</bold>High-spatial-resolution image showing the roof surface of the Municipal Sports Complex in Cordoba (<italic>Bolívar</italic>, <italic>Colombia</italic>).</p>
      <p>The methodology also facilitates identifying large-format public infrastructure suitable for community solar projects. For example, the roof of the Municipal Sports Complex in Cordoba (Bolivar, Colombia) measures 35 m × 38 m, as shown in <xref ref-type="fig" rid="fig9">Figure 9</xref>.</p>
      <p>Deploying rooftop PV on large civic structures can accelerate rural electrification, lower public energy overhead, and support community development goals.</p>
    </sec>
    <sec id="sec5">
      <title>5. Results and Conclusions</title>
      <p>When evaluating machine-learning outputs against national housing surveys (DANE in Colombia; INE in Chile), it is critical to distinguish between their underlying spatial constructs. Census baselines measure residential dwellings and households, whereas satellite-based classification identifies physical roof-containing structures (which include agricultural sheds, commercial units, industrial facilities, and multi-dwelling apartment blocks). Discrepancies between total pixel counts and census numbers stem from these structural divergences rather than classification error alone.</p>
      <sec id="sec5dot1">
        <title>5.1. Colombian Results</title>
        <p><bold>Table 1</bold> presents the rooftop detection results for the Bolivar Department using machine learning compared against official housing baseline data [<xref ref-type="bibr" rid="B16">16</xref>]. Specifically, the MaxEnt model identified 95,952 rooftops, whereas the 2018 DANE National Housing Census recorded 80,222 residential units.</p>
        <p><bold>Table 1.</bold> Rooftop detection results for the bolivar department using machine learning compared against official housing baseline data [<xref ref-type="bibr" rid="B16">16</xref>].</p>
        <table-wrap id="tbl1">
          <label>Table 1</label>
          <table>
            <tbody>
              <tr>
                <td rowspan="2">Colombia Analysis</td>
                <td colspan="9">Rooftop detection results</td>
              </tr>
              <tr>
                <td>Northern Bolivar</td>
                <td>% of Total Region Area</td>
                <td>North-South Bolivar</td>
                <td>% of Total Region Area</td>
                <td>Central-South Bolivar</td>
                <td>% of Total Region Area</td>
                <td>Southernmost Bolivar</td>
                <td>% of Total Region Area</td>
                <td>Total Rooftops</td>
              </tr>
              <tr>
                <td>Machine Learning Rooftop Count</td>
                <td>56,403</td>
                <td>0.14%</td>
                <td>25,072</td>
                <td>0.08%</td>
                <td>8416</td>
                <td>0.03%</td>
                <td>6061</td>
                <td>0.02%</td>
                <td>95,952</td>
              </tr>
              <tr>
                <td>
                  2018 Housing Census (DANE)
                  <sup>a</sup>
                </td>
                <td>52,626</td>
                <td>0.13%</td>
                <td>11,210</td>
                <td>0.03%</td>
                <td>7342</td>
                <td>0.03%</td>
                <td>9044</td>
                <td>0.03%</td>
                <td>80,222</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>a. CNPV corresponds to the 2018 National Population and Housing Census of a Table footnote (<italic>Censo Nacional de Población y Vivienda footnote is dispensable</italic>). conducted by the National Administrative Department of Statistics.</p>
        <p>Northern Bolivar: 0.43% unclassified pixels; training accuracy: 98.68%; test accuracy: 98.58%.North-South Bolivar: 0.18% unclassified pixels; training accuracy: 98.74%; test accuracy: 98.58%.Central South Bolivar: 0.90% unclassified pixels; training accuracy: 98.09%; test accuracy: 97.51%.Southernmost Bolivar: 0.50% unclassified pixels; training accuracy: 99.30%; test accuracy: 99.17%.</p>
        <p>In Cesar department, the model detected 243,815 rooftops, compared to 168,926 residential units in the 2018 DANE census.</p>
        <p>Northern Cesar: 1.99% unclassified pixels; training accuracy: 98.56%; test accuracy: 98.07%.North-South Cesar: 0.50% unclassified pixels; training accuracy: 99.19%; test accuracy: 98.85%.Central-South Cesar: 1.18% unclassified pixels; training accuracy: 99.09%; test accuracy: 98.90%.Southernmost Cesar: 3.04% unclassified pixels; training accuracy: 98.46%; test accuracy: 98.24%.</p>
        <p>As shown in <xref ref-type="fig" rid="fig10">Figure 10</xref>, the spatial distribution map demonstrates the performance of the machine learning algorithm in northern Cesar. A total of 149,968 rooftops were identified across the region.</p>
        <fig id="fig10">
          <label>Figure 10</label>
          <graphic xlink:href="https://html.scirp.org/file/6203133-rId32.jpeg?20261013111539" />
        </fig>
        <p>Map prepared by the author using QGIS.</p>
        <p><bold>Figure 10.</bold>Spatial distribution of identified rooftops within the northern Cesar study polygon (<italic>municipalities of</italic><italic>Pueblo Bello</italic><italic>and</italic><italic>Valledupar</italic>).</p>
        <p>Following the same analysis for the Department of Cesar, <bold>Table 2</bold> shows the machine learning rooftop detection results compared against official housing baseline data [<xref ref-type="bibr" rid="B16">16</xref>].</p>
        <p><bold>Table 2.</bold> Rooftop detection results for the Cesar Department using machine learning compared against official housing baseline data [<xref ref-type="bibr" rid="B16">16</xref>].</p>
        <table-wrap id="tbl2">
          <label>Table 2</label>
          <table>
            <tbody>
              <tr>
                <td rowspan="2">Results in Colombia</td>
                <td colspan="9">Rooftop detection results</td>
              </tr>
              <tr>
                <td>Northern Cesar</td>
                <td>% of Total Region Area</td>
                <td>North-South Cesar</td>
                <td>% of Total Region Area</td>
                <td>Central-South Bolivar</td>
                <td>% of Total Region Area</td>
                <td>Southernmost Bolivar</td>
                <td>% of Total Region Area</td>
                <td>Total Rooftops</td>
              </tr>
              <tr>
                <td>Machine Learning Rooftop Count</td>
                <td>149,968</td>
                <td>0.3%</td>
                <td>13,428</td>
                <td>0.07%</td>
                <td>70,842</td>
                <td>0.4%</td>
                <td>9577</td>
                <td>0.48%</td>
                <td>243,815</td>
              </tr>
              <tr>
                <td>
                  2018 Housing Census (DANE)
                  <sup>b</sup>
                </td>
                <td>126,871</td>
                <td>0.26%</td>
                <td>9112</td>
                <td>0.05%</td>
                <td>16,305</td>
                <td>0.09%</td>
                <td>16,638</td>
                <td>0.08%</td>
                <td>168,926</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>b. CNPV corresponds to the 2018 National Population and Housing Census of a Table footnote (<italic>Censo Nacional de Población y Vivienda footnote is dispensable</italic>). conducted by the National Administrative Department of Statistics.</p>
      </sec>
      <sec id="sec5dot2">
        <title>5.2. Results for Study Regions in Chile</title>
        <p>Across the evaluated Chilean communes (Victoria, Parral, Casablanca), the model detected 71,355 rooftops, compared to 41,882 residential units in the 2017 INE Housing Census.</p>
        <p>Victoria: 0.14% unclassified pixels; training accuracy: 98.91%; test accuracy: 98.75%. Parral: 9.69% unclassified pixels; training accuracy: 95.55%; test accuracy: 94.63% (impacted by high-altitude snowpack confusion). Casablanca: 0.43% unclassified pixels; training accuracy: 99.18%; test accuracy: 98.89%.</p>
        <p>Extending this comparative analysis to Chile, <bold>Table 3</bold> shows the machine learning rooftop detection results across the evaluated communes compared against the official INE (Instituto Nacional de Estadísticas) housing census baseline [<xref ref-type="bibr" rid="B17">17</xref>].</p>
        <p><bold>Table 3.</bold> Rooftop detection results for evaluated communes in Chile using machine learning compared against official housing baseline data [<xref ref-type="bibr" rid="B17">17</xref>].</p>
        <table-wrap id="tbl3">
          <label>Table 3</label>
          <table>
            <tbody>
              <tr>
                <td rowspan="2">Results in Chile</td>
                <td colspan="7">Rooftop detection results</td>
              </tr>
              <tr>
                <td>Victoria</td>
                <td>% of Total Region Area</td>
                <td>Parral</td>
                <td>% of Total Region Area</td>
                <td>Casablanca</td>
                <td>% of Total Region Area</td>
                <td>Total Rooftop</td>
              </tr>
              <tr>
                <td>Machine Learning Rooftop Count</td>
                <td>11,487</td>
                <td>0.07%</td>
                <td>3349</td>
                <td>0.02%</td>
                <td>56,519</td>
                <td>0.49%</td>
                <td>71,355</td>
              </tr>
              <tr>
                <td>
                  2017 Housing Census (INE)
                  <sup>c</sup>
                </td>
                <td>12,828</td>
                <td>0.08%</td>
                <td>17,448</td>
                <td>0.03%</td>
                <td>11,606</td>
                <td>0.1%</td>
                <td>41,882</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>c. National Statistics Institute [<xref ref-type="bibr" rid="B12">12</xref>].</p>
        <p>Jackknife feature importance evaluations in MaxEnt revealed consistent variable performance across Colombia and Chile. Visible bands (B2, B3, B4) and environmental indices (NDWI, NDVI, SAVI) contributed most significantly to model gain. Within shortwave infrared channels, Band 12 (SWIR-2) provided the strongest relative contribution, whereas Band 8, Band 8A, and NDBI exhibited lower individual permutation importance. Nonetheless, maintaining this specific combination of bands and indices proved necessary for stabilizing maximum-likelihood spectral separation across complex land covers. Under the Colombia Sostenible framework, rural development initiatives were established across vulnerable communities. Future phases should connect distributed rooftop PV generation directly to productive agricultural infrastructure (e.g., crop processing, refrigeration, and irrigation) rather than limiting energy usage strictly to basic household lighting.</p>
      </sec>
    </sec>
    <sec id="sec6">
      <title>6. Recommendations for Future Work</title>
      <p>Community engagement and local stakeholder alignment remain critical for ensuring long-term technical adoption and social integration of distributed solar energy systems in rural areas.</p>
      <p>Under the “Colombia Sostenible” framework, rural development initiatives were established across vulnerable communities. Future phases should connect distributed rooftop PV generation directly to productive agricultural infrastructure (e.g., crop processing, refrigeration, and irrigation) rather than limiting energy usage strictly to basic household lighting.</p>
      <p>For example, in livestock management and silvopastoral systems, small-scale solar arrays can power electric fencing and water pumping systems, fostering sustainable agricultural transition.</p>
      <p>Academia and public institutions must collaborate to present these spatial tools to local communities, demonstrating how decentralized clean energy reduces socioeconomic vulnerability and energy poverty.</p>
      <p>Because the developed MaxEnt workflow effectively discriminates linear infrastructure, future research will focus on automated mapping and characterization of unpaved tertiary road networks. Mapping tertiary access routes will enable precise routing assessments for distribution lines, transformer placement, and grid extension planning in remote regions.</p>
      <p>Finally, given the structural baseline utility and high spatial agreement within urban cores demonstrated by machine learning classification across Colombia (DANE) and Chile (INE), national statistical agencies are strongly advised to integrate remote sensing and automated land-cover modeling into census methodologies. While satellite mapping identifies physical structures rather than strictly residential households, deploying satellite-based structural identification offers significant strategic advantages:</p>
      <p>Cost Reduction and Operational Efficiency: It optimizes administrative budgets by significantly decreasing logistical overhead, paper-based surveys, and extensive field personnel deployment.Risk Mitigation in Conflict and Remote Zones: In regions characterized by active armed conflict, social instability, or ongoing post-peace-agreement transition, automated spatial mapping replaces physical site inspection, directly safeguarding field enumerators and researchers from physical security threats.Transparency and Bureaucratic Streamlining: By anchoring housing and infrastructure baselines to verifiable, open-access satellite telemetry, public agencies can streamline administrative workflows, minimize bureaucratic friction, and enhance data transparency, thereby mitigating risks of data manipulation or corruption during local census execution.</p>
      <p>Consequently, integrating machine-learning workflows into national statistical protocols provides a scalable, secure, and cost-effective paradigm for modernizing population and housing updates in developing and conflict-affected nations. </p>
    </sec>
    <sec id="sec7">
      <title>Acknowledgements</title>
      <p>I would like to express my sincere gratitude to Professors Fernando Jiménez, Guillermo Jiménez, and Rocío Sierra from the Faculty of Engineering at Los Andes University, as well as the Chilean team for their active engagement and valuable contributions, whose unwavering support, trust, and guidance, which made the execution of this research project possible.</p>
    </sec>
  </body>
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