A method and a system for the propagation of a message in a radio-operated communication network having a base unit and a plurality of members, wherein the base unit and the members each includes a transmitter and a receiver, the receiver being activated at cyclical switch-on times for a certain respective receiving period. A message to be sent from a member to the base unit is transmitted by the member to at least one adjacent member as a function of at least one rule, and the message is transmitted by the at least one adjacent member, according to the at least one rule, to at least one member adjacent thereto, in the direction of the base unit. The process is repeated such that the message is transmitted from at least one adjacent member receiving the message according to the at least one rule to at least one member adjacent thereto, in the direction of the base unit. The message is transmitted from the at least one member that is adjacent to the base unit to at least the base unit.