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Erp or EiRP:  It's all math and something you can't really measure in the field.  However, to get true ERP or EiRP you need to factor in all the devices between the transmitter and the antenna too.  This can be as simple as the main transmission line plus connectors, to additional items like Jumper Cables, Lightning Arrestor, Duplexer, Isolator, and other miscellaneous protective devices.  You can further skew the facts by using dBw rather than dBm for the transmitter. 

 

By the way, dBi is used by the microwave community to calculate EiRP for Point-To-Point systems, or for persons that like to make their Two-Way systems look way too good.