A power management method of a wireless communication device is disclosed. The wireless communication device comprises a modem for wireless communication and a battery for supplying power to the modem. The method comprises obtaining information regarding a power consumption of the modem as a function of time (the information being provided by the modem during wireless communication), forming power consumption statistics from the obtained information (wherein the power consumption statistics comprise an average power consumption during wireless communication as a function of one or more time parameters), and controlling use of the modem by one or more applications of the wireless communication device based on the power consumption statistics. Corresponding computer program product, arrangement and wireless communication device are also disclosed.