Representation of the parameters for the unpooled model (upper panel) and the hierarchical partial pooling model (bottom panel). For each pixel, we have four parameters that contribute to the shape of the synthetic intensity profile. In addition to those parameters, in the hieararchical partial pooling model, we have two hyperparameters, the mean value and the standard deviation of the Gaussian, which represent the global oxygen distribution. The parameter s accounts for the uncertainties of our model.