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I know how to find percentiles within a single image, but is there a way that I can make an output image that is a percentile composite of an entire collection? E.g. a composite image where each pixel value is the 90th percentile value at its respective location given an input collection.

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Try this:

//import sentinel image
var Sent = ee.ImageCollection('COPERNICUS/S2')
    .filterBounds(geometry)
    .filterDate('2020-05-01', '2020-10-30');

//calculate 90 percentile    
var Sent2 = Sent.reduce(ee.Reducer.percentile([90])));
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  • This is perfect. Thank you so much! :) Commented Feb 1, 2021 at 17:55

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