The maps shown on this site have been based on the latest pre-operational Sentinel-5P Level-2 Kd Ocean Colour products (L2__KD____), available from the S5P-PAL data portal. The readme file of this product can be found here.
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The Copernicus Sentinel-5P Kd Ocean Colour measurements were first filtered based on the recommendation in the Product Readme file (only data with a qa_value == 1.0 was used). Then the measurements are mapped on a fixed latitude-longitude grid of 8193 x 16385 pixels. The grid is turned into an EPSG:4326 geotiff file using the appropriate color scale, which is again turned into an EPSG:3857 tile map.