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in this equation, p~i~ are the coefficients of the polynomial term with order P, H is the order of the harmonic system and α~k~ and β~k~ are the coefficients of the harmonic functions with order k. $\omega= 2π$/year is the base angular frequency of the harmonic system. The coefficients p~i~, α~k~ and β~k~ are estimated by performing ordinary least squares fit to the signal of each pixel of the time series. <br> Cloud and atmospheric artifacts (@fig-figure2) are mitigated through a weighting scheme based on the Sentinel-2 L2A Scene Classification Layer (SCL), in which observations with high cloud or shadow probability are down-weighted during the modelling process. This ensures that only high-quality observations contribute meaningfully to the fitted time series.
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By focusing on NDVI time-series modelling, the approach leverages established evidence of its effectiveness for land surface monitoring while maintaining computational efficiency and interpretability across diverse landscape types.
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This normalized RMSD highlights pixels where the observed change is significantly greater than what is typical for that land cover type, allowing for a more context-aware detection of anomalies and potential change events. In the @fig-figure3 below, an example for a detected change in Vienna, Austria is displayed.
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To further improve the accuracy and reliability of detected changes, the normalized RMSD layer is subsequently fused with information derived from very high resolution (VHR) imagery-based change detection, resulting in a more robust, multi-source assessment of land cover change.
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Finally, after several iterations and analysis of outputs, the methodology was adapted by giving priority to the **PCA approach**. The SFA results required a heavy and lengthy computing process, and results were not fully satisfactory, showing a high number of commission errors (@fig-figure4).
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#### Production of change candidate layer
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After obtaining the heatmaps derived from S2 data and those derived from VHR data, it is necessary to combine both into a single layer that will constitute the change candidates.
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A CLC change layer is extracted and applied to the S2 change candidates, retaining only the changes identified by both the CLC and S2 layers, while small elements are removed based on the defined MMU. On the VHR side, changes are preserved only in urban areas and where they overlap with the CLC/S2 layer—meaning that, in the end, only VHR-detected changes within the S2 and CLC change areas are kept. The methodology is illustrated in @fig-figure5 below:
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Starting with the two change detection heat maps, the next steps consist of:
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- To maintain continuity of linear structures, they can be mapped smaller than 10 m over a distance up to 50 m (see figure below).
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Priority mapping rules for areas smaller than the MMU are used:
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@fig-figure7 shows the result of the labelling process and the final classification of GUAs into public (blue), private (red) and unknown (purple) in the FUA of Iasi, Romania. Additionally, it also shows class 14200 - recreational and sport areas (green).
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Table 3 shows the number of private/public and unknown occurrences of selected FUAs.
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|tr044l1|Karaman|2021|0|129|29|
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|xk002l1|Prizren|2021|0|27|12|
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#### Integration of the GUA codes
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Once the GUA polygons are recalculated with the new GUA classes, they can be used directly by location intersect to replace the old 14100 class by the new 14110, 14120 and 14130 classes (see nomenclature in Annex 2). This operation occurs once the production is over on the areas and before the deliverable’s preparation.
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- Urban Atlas 2021 status layer
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- Street Tree Layer 2021 status layer
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- Building Block Height 2021 (see separate ATBD for Building Block Height)
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# Quality control and production verification {#sec-quality-control-and-production-verification}
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|Version|Date|Short description of changes|
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|--|--|--|
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|1.0|22.08.2025|Initial published issue|
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|1.1|29.01.2026|Minor revisions|
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|1.2|05.02.2026|Initial published version|
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# Applicable documents
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|Version|Applicable document|
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|--|--|
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|AD-1|Urban Atlas 2021 – Product User Manual (PUM)|
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