We consider a von Mises-tuned, independent Poisson source model (green) with neurons, and an information-limited, IP-CM (purple) with components, fit to 10,000 responses of the source-model to stimuli obscured by von Mises noise. In B-F we consider a stimulus-orientation (blue line). (A) The average (lines) and standard deviation (filled area) of the FI over orientations, for the source (green) and information-limited (purple) models, as a function of random subpopulations, starting with ten neurons, and gradually reintroducing missing neurons. Dashed black line indicates the theoretical upper bound. (B) The sum of the firing rates of the modulated IP-CM for all indices (lines) as a function of orientation, with three modulated IP-CMs highlighted (red, yellow, and orange lines) corresponding to the highlighted indices in C. (C) The index-probability curves (lines) of the IP-CM for indices and the intersection (red, yellow, and orange circles) of the stimulus with three curves (orange, yellow, and orange lines). (D-F) Three responses from the yellow (D; yellow points), red (E; red points), and orange modulated IP-CMs (F; orange points) indicated in C. For each response we plot the posterior based on the source model (green line) and the information-limited model (purple line).