A method for monitoring at least one animal (2; 21) with an autonomous monitoring device being in close proximity to the animal (2; 21), said monitoring device having at least: - a processor; - a first sensor (10; 8) communicating with the processor and having a first electric power consumption; - a second sensor (11; 12; 15) communicating with the processor and having a second electric power consumption, said first electric power consumption being lower than the second electric power consumption,; and - a battery feeding at least said processor, first sensor (10; 8) and second sensor (11; 12; 15); said method including: - measuring a first parameter with the first sensor (10; 8) while the second sensor (11; 12; 15) is deactivated, - determining an estimated status of the animal based on the first parameter, - if said estimated status corresponds to at least one predetermined status, activating the second sensor (11; 12; 15) and measuring a second parameter with said second sensor (11; 12; 15), - determining a specified estimated status of the animal based on the second parameter, wherein said monitoring device is worn by the animal, said first sensor is an accelerometer, said first parameter is acceleration, said animal is hosted in a building and has a possibility to move out of the building, said predetermined status is "moving substantively", said second sensor (12; 15) is chosen in the group comprising: - a satellite geolocation receptor, in which case the second parameter is a number of satellites from which the receptor receives signal; and - a short range radio interface, in which case the second parameter is a connectivity with at least one radio short range router having a known position relative to said building, and said specified estimated status is chosen between "out of the building" and "inside the building". - a processor; - a first sensor (10; 8) communicating with the processor and having a first electric power consumption; - a second sensor (11; 12; 15) communicating with the processor and having a second electric power consumption, said first electric power consumption being lower than the second electric power consumption,; and - a battery feeding at least said processor, first sensor (10; 8) and second sensor (11; 12; 15); said method including: - measuring a first parameter with the first sensor (10; 8) while the second sensor (11; 12; 15) is deactivated, - determining an estimated status of the animal based on the first parameter, - if said estimated status corresponds to at least one predetermined status, activating the second sensor (11; 12; 15) and measuring a second parameter with said second sensor (11; 12; 15), - determining a specified estimated status of the animal based on the second parameter, - measuring a first parameter with the first sensor (10; 8) while the second sensor (11; 12; 15) is deactivated, - determining an estimated status of the animal based on the first parameter, - if said estimated status corresponds to at least one predetermined status, activating the second sensor (11; 12; 15) and measuring a second parameter with said second sensor (11; 12; 15), - determining a specified estimated status of the animal based on the second parameter, wherein said monitoring device is worn by the animal, said first sensor is an accelerometer, said first parameter is acceleration, said animal is hosted in a building and has a possibility to move out of the building, said predetermined status is "moving substantively", said second sensor (12; 15) is chosen in the group comprising: - a satellite geolocation receptor, in which case the second parameter is a number of satellites from which the receptor receives signal; and - a short range radio interface, in which case the second parameter is a connectivity with at least one radio short range router having a known position relative to said building, - a satellite geolocation receptor, in which case the second parameter is a number of satellites from which the receptor receives signal; and - a short range radio interface, in which case the second parameter is a connectivity with at least one radio short range router having a known position relative to said building, and said specified estimated status is chosen between "out of the building" and "inside the building".