The statistical structure of the hippocampal code for space as a function of time, context, and value
Hippocampal activity represents many behaviorally important variables, including context, an animals location within a given environmental context, time, and reward. Here we used longitudinal calcium imaging in mice, multiple large virtual environments, and differing reward contingencies to derive a unified probabilistic model of hippocampal CA1 representations centered on a single feature - the field propensity. Each cells propensity governs how many place fields it has per unit space, predicts its reward-related activity, and is preserved across distinct environments and over months. The propensity is broadly distributed--with many low, and some very high, propensity cells --and thus strongly shapes hippocampal representations. The result is a range of spatial codes, from sparse to dense. Propensity varied ~10-fold between adjacent cells in a salt-and-pepper fashion, indicating substantial functional differences within a presumed cell type. The stability of each cells propensity across conditions suggests this fundamental property has anatomical, transcriptional, and/or developmental origins.