Final answer:
In Nebamun's garden, the species of palm trees depicted at the mosaic pool are likely date-palms and sycamore-figs, which are historically accurate for the region and time and reflect Mediterranean influences in the art and architecture.
Step-by-step explanation:
The species of palm trees depicted at the corners of the mosaic pool in Nebamun's garden are likely date-palms and sycamore-figs.
These species are relevant to the area and time period and are mentioned in the context of Egyptian gardens. The date palm, in particular, is one of the oldest cultivated plants going back to at least 5000 B.C. (Fig. 14).
Additionally, the mosaics and paintings show a strong Mediterranean influence in the architecture and the plants, with motifs and plants that are native or closely associated with that region.