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Shadowing fading, an inevitable phenomenon caused by obstructions in the propagation path, causes large variation in the received signal strength for mobile radio environments. The spatial correlation of the shadowing effects is exponentially decayed with the increase of distance between any two separate positions. The variation of the shadowing effects is generally modeled as a Gaussian-Markov stochastic process. In this work, two Gaussian-Markov stochastic models are proposed to characterize the spatial correlation properties and the variations of the total co-channel interference (CCI) and the carrier-to-interference ratio (CIR) for mobile cellular systems. The numerical and simulation results show that these two models can characterize the spatial correlation properties of the total CCI and the CIR very well. These models can be applied to applications such as handoff scheme design, link performance prediction, link adaptation control, and performance simulations.