Abstract--In the majority of studies on CSMA wireless networks, a contention graph is used to model the carrier sensing relationships among links. This is a 0-1 model in which two links can either sense each other completely or not. In real experiments, we observed that this is generally not the case: the carrier sensing relationship between the links are often probabilistic and can vary dynamically over time. This is the case even if the distance between the links is fixed and there is no drastic change in the environment. Furthermore, this "partial carrier sensing" relationship is prevalent and occurs over a wide range of distances between the links. This observation is not consistent with the 0-1 contention graph and implies that many results and conclusions drawn from previous theoretical studies need to be re-examined. This paper establishes a more accurate carrier sensing model with the objective of laying down a foundation for future theoretical studies that reflect re...