Position estimation system and center

A position estimation system, comprising:

• a mobile terminal;
• and
• a center configured to communicate with the mobile terminal through a predetermined communication network,
• wherein the mobile terminal includes
• a GPS positioning unit configured to execute GPS positioning,
• a base station positioning unit configured to execute base station positioning,
• a first transmitter configured to transmit first positional information obtained by the GPS positioning to the center, and
• a second transmitter configured to transmit second positional information obtained by the base station positioning to the center,
• wherein the center includes
• a receiver configured to receive the first positional information and the second positional information transmitted from the mobile terminal,
• a position estimator configured to determine whether a user of the mobile terminal has boarded a train at a station, based on the second positional information in a case where the mobile terminal has become incapable of executing the GPS positioning in a vicinity of the station, and if having determined that the user has boarded a train at the station, to estimate which train was boarded by the user, based on a moving direction of the mobile terminal calculated from the second positional information.