Burden of False Convictions due to Race Profiling

Instructions: The "Applet" is active only while the mouse is in its area. You can rotate the solid with the mouse (it has inertia!); to zoom Shift-DragDown; to accentuate the perspective Ctrl-DragDown; to remove surfaces RightDragDown; to spin Shift-DragLeft.

Legend: The volume of the solid corresponds to the convicted. The solid is produced by applying the error of the prosecutor and trial to the population, and is displayed only half, on one side of the location lc of the crime. The majority is blue and minority green, divided according to the minority proportion r in society so that the minority occupies from 0 to r and the majority from r to 1. The darkest regions next to the crime (that extend to s/2) correspond to convictions of perpetrators. Their floors are raised to reflect the probability that they are not investigated, which is most pronounced in the case of the majority. The medium-dark regions correspond to innocent investigations, they extend to dj for the majority and dn for the minority. The lightest regions (beyond dj and dn) correspond to the innocent who are not investigated. The graph corresponds to half the society; the omitted half forms a symmetrical solid on the other side of the crime. 

To visualize the disparate impact of race profiling, notice the space below the horizontal dark blue surface that is raised above the "floor" of the graphic. That empty space corresponds to majority perpetrators who are not apprehended due to the reduced enforcement against majorities. That space is filled from the medium-dark green space, which corresponds to convictions of innocent minority members.