An integrated multi-trophic aquaculture system (multico) for a primary species, preferably a carnivorous marine species with high market value, secondary, preferably an omnivorous species of medium market value and tertiary species, preferably a detrivorous species with high market value, combined with an unfolding system for the primary species to an open semi-intensive or extensive system, the multico system for the primary species is an intensive closed or semi-closed system. The secondary species is stocked in an intensive closed or semi-closed system, while the tertiary species is stocked in a semi-intensive or closed extensive or semi-closed system. The multico system of the primary species is in communication with the system of the secondary species, while the system of the secondary species is in communication with the system of the tertiary species.