Density Plot from Scientific Research

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The upper panel depicts the joint AI–Nd histogram constructed from 5 km x 5 km daily observations of non-precipitating liquid clouds over global oceans, where each column is normalized so that it sums to 1. The blue dot indicates the median Nd in each AI bin. Also shown are OLS linear and sigmoidal fits on blue dots (n = 30), with the shaded area representing the 95% credible interval (according to a Student’s t test) that represents the fitting uncertainty. Corresponding fitting functions are displayed as well where x = ln AI and y = ln Nd. The lower panel in b shows the derivative of the sigmoidal fit function that is equivalent to SAI, along with the dependence of SAI on AI shown in a.
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