The present research aims to mathematically determine an archaeological site through spatial range-size analysis of limits and cultural boundaries. The methodology used collects information from archaeological sites in the province of Tumbes, identifies the urban centers of more significant extension, are spatially located using ArcGis software with ArcMap tool; with the spatial model, X-Tent also determined the territorial domains of attachment, in the analysis of the road network, generates the longitudinal profile and areas of influence through Thiessen polygons with which the domain areas are compared. With the values obtained, the territorial proportion has a constant K = 1/555; with these values, the domains of the archaeological sites of "Cabeza de Vaca" with an extension of 142,671.15 has an "El Guinea" with an area of 17,836.73 has been determined, located in the province of Tumbes district of Corrales and San Jacinto, separated by a distance of 60 km, linear. The boundaries intersect territorially at the Huásimo archaeological site. It is concluded that the domain "Cabeza de Vaca" has an occupation of 80.62% and "El Guineal" of 10.08% of the province of Tumbes; it was determined that in the intersection of both is located an archaeological site that was used as Tambo by the Incas, currently called Huásimo at an altitude of 787 meters above sea level.