Why does Grande-Terre have no rivers?

The premise that Grande-Terre has no rivers is accurate, as the island is a low-lying, limestone-based landmass that lacks the mountainous relief necessary to form surface watersheds.12

Unlike its neighbor Basse-Terre, which is part of the inner volcanic arc and features a high mountain chain that feeds numerous rivers, Grande-Terre belongs to the outer limestone arc of the Lesser Antilles. Because the island is generally low-lying—with few areas exceeding 490 feet in elevation—it lacks the steep topography required to sustain surface stream channels. Furthermore, the porous nature of the limestone bedrock often leads to the development of karst topography, where surface drainage is frequently diverted into underground systems rather than flowing across the landscape.123