Method for carrying out an outside temperature-related control

A arrangement for controlling a first heating or cooling system of a first building, the arrangement is configured to:

• provide an outside temperature-related control of a thermal property of at least a portion of a first building by regulation of a supply temperature of a first heating or cooling system of a first building;
• control the regulation of the supply temperature on the basis of the at least one thermal power indicative parameter, wherein the at least one thermal power indicative parameter is indicative of the heat consumption or of the cooling power of at least one second heating or cooling system of a second building located at a distance from the first building;
• receive the at least one thermal power indicative parameter via a data network;
• and
• receive, at a first heating or cooling system in the first building, a leading signal indicative of a time derivative of the at least one thermal power indicative parameter from a data storage for controlling the at least one thermal power indicative parameter.