The hippocampus plays a central role in mammalian navigation and memory, yet an implementational understanding of the rules that govern the formation of individual place fields and the spatial-statistics of the population as a whole are lacking. We analysed large numbers of CA1 place fields recorded while rats foraged in different-sized environments up to 8.75 m2. We found that place cell propensities to form fields were proportional to open-field area, gamma-distributed, and conserved across environments. The properties of place fields varied positionally with a denser distribution of smaller fields near boundaries. Remarkably, the variation in field sizes and densities exactly countered each other, such that the population-level statistics were constant both within and between environments. Using a virtual reality replica of the environment, we showed that this variable rate of transition through the statistically stable place cell population was matched to change in the animals' visual scenes.