The district of the Quinquagesima and Quadragesima Hispaniarum
We have already seen the inscription STATIO ANTO[nini] AVG(usti) N(ostri) XXXX [= quadragesimae] G[alliar(um)] ET HISPANIAR[(um)] HIC, found in Ostia. From it can be deduced that the entire Iberian peninsula was a portorium district. The offices must be sought on the Atlantic and Mediterranean coast, and in the interior. The other border, the Pyrenees, fell under the Quadragesima Galliarum. However, offices have only been identified in Hispania Baetica: Illiberris (Granada), Ilipa (Alcalá del Rio), Astigi (Écija), Corduba (Córdoba), Hispalis (Sevilla), Malaca (Málaga), and probably Portus Gaditanus (Cádiz).
The inscription from Ostia documents a tariff of 2.5%, but an inscription from Illiberris of 2%. The latter inscription has been dated to the later first or early second century (EDCS-08700717), the Ostian inscription belongs to the later second or early third century. It seems that the tax was raised by 0.5%.
Map of Baetica, from Gustav Droysens Allgemeiner historischer Handatlas (1886).