I downloaded climate data from the WorldClim website, provided as rasters at a global scale using WGS 84 and various resolutions. I'm using the 15min resolution and I focus on Mediterranean countries (North Africa, Southern Europe and Western Middle-East).
I want to analyze climate differences between polygons but for several reasons I don't extract climate data for each polygon (using the extract function from the raster R package or QGIS Zonal Statistics). Instead, I rasterized those polygons and I compare raster cells from one polygon with raster cells from another polygon.
Raster cells don't have the same area, which means that small raster cells have more weight than they should, which could distort my analysis.
How could I take account of this difference in raster cells area?
Can I use another projection? I've read here that reprojecting rasters might not be a good solution. Also I'm not sure that I can give different weights to those cells in the statistical analysis I use to compare cells.
Sorry if this topic had already been discussed, I did not find any solution on this website.
EDIT: I am seriously considering reprojecting my data using an equal-area projection like Lambert Azimuthal Equal-Area projection centered on my study area. Is this solution such a bad idea?