1. A temperature detecting range identifying device comprising: storage that stores location coordinates of a planned detecting range over which a thermopile array sensor is to detect temperatures, for each of a plurality of thermopile array sensors installed in a space for which a temperature distribution is to be detected; a detected temperature acquirer that acquires detected temperatures from each individual thermopile array sensor; a first thermopile array sensor, from the plurality of thermopile array sensors, the first thermopile array sensor having a first planned detecting range; a second thermopile array sensor, from the plurality of thermopile array sensors, the second thermopile array sensor having a second planned detecting range including an overlap region which partially overlaps the first planned detecting range; a plurality of test locations associated with the first thermopile array sensor and located within the overlap range; a plurality of comparing locations associated with the second thermopile array sensor and located within the overlap range; a temperature change comparer that compares a change in detected temperatures over time detected by the first thermopile array sensor at each of the respective test locations and a change in detected temperatures over time detected by the second thermopile array sensor at each of the respective comparing locations to identify a best match location for each test location wherein a highest comparison result is obtained; a factor estimator that generates, for each test location of the plurality of test locations, a system of equations expressing a relationship between the best match location for the test location and positional shift factors indicating a positional shift between a location coordinate indicating the test location and a location coordinate indicating the best match location and solves the system of equations expressing the relationship between the best match location and the positional shift factors using a least-squares method to estimate the positional shift factors; and a detecting range identifier that identifies an actual identifying range for the second thermopile array sensor by correcting the location coordinates of the planned detecting range for the second thermopile array sensor based on the positional shift factors.