What happened to the land between the sabine river and the arroyo hondo-calcasieu line after the negotiations between spain and the united states?

After the acquisition of the Territory by the United States, these not only claimed the same limits that the French had established, but were not recognized by Spain, but advocated its extension to the Rio Grande, although in fact they are limited to Sabine river, in front of the Spanish claims that put the limit in the Arroyo Hondo.

The negotiations were developed until its break in 1805, giving way to verbal and armed clashes between October 1805 and October 1806.2

Despite the tension, none of the contenders wanted an armed conflict, so the military governors of the area, Lieutenant General Simón de Herrera for Spain and General James Wilkinson for the United States, reached an informal agreement not to aggression and the establishment of a neutral strip on November 5, 1806, although the borders were not delimited. Although it does not acquire the category of formal Treaty, it was generally respected by both parties, except in the breach, by both, of the prohibition to establish new settlers.

The demilitarized strip was bounded between the Arroyo Hondo to the west and the Sabine river to the east. To the south it reached the Gulf of Mexico and the north was assumed (without specifying) the line of the parallel 32º

In 1819 the Adams-Onis Treaty was ratified in 1821, marking the limits of both states and the waiver of future claims. When in 1821 Mexico became independent, it assumed that Treaty.

a variant spelling of the word dote (british)