In compacting an asphalt layer which is continuously deposited by a paver machine, a compacting machine reciprocates behind the paver. With the aid of signals from sensors (3) for temperature, sensors (5) for movement velocity of the compacting machine, sensors (7) for change of path, and sensors (9) for static/vibratory compacting operation, a processor (1) determines the position of the compacting machine continuously in relation to the paver, and other variables for each area segment passed by the compacting machine. The position of the compacting machine is displayed symbolically on a monitor (19) and the variables measured and determined for each passed area segment are stored in a memory (17). For each passed area segment, a total index number can be determined for this area segment, which on the monitor (19) is displayed as a field having a color or light intensity which is proportional to this total index number. The index number indicates the total amount of compacting work which the compacting machine has made on this area segment. This position of a field representing such an area segment is displayed on the monitor (19) in a proportional scale.
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