A defect chemical model for the behavior of acceptor-doped LaCrO3 as a function of oxygen pressure is proposed. This is considered within the regime that corresponds to oxygen deficit oxygen. The mathematical approach allows us to calculate the oxygen partial pressure dependant properties of La1-xSrxCr O3-delta in the range 0.10 less than or equal to x less than or equal to 0.30. The results show that the conductivity was independent of pO(2) and was proportional to the dopant concentration at high pO(2). Therefore, under reducing conditions, the conductivity decreased exponentially with decreasing pO(2) and asymptotically approached a pO(2)(1/4) relationship. Stability regimes and compensation mechanisms at various oxygen partial pressures and temperatures are proposed. This model also examines the charge compensation mechanisms that dominate under the different regimes and their implications for transport properties. From equilibrium constants, thermodynamic quantities such as standard enthalpy and entropy change for the defect formation reactions were calculated.