Monthly optimum tilt angles of a flat-plate solar collector capable of south or north orientations were modeled for the tropical Caribbean island of Trinidad at 10.6 N latitude, using measured monthly average daily global and diffuse horizontal irradiation data from the period 2005-2010, as input to six transposition models comprising three isotropic (Liu and Jordan, Koronakis, and Badescu) and three anisotropic (Hay and Davies, 'Hay and Davies, Klucher and Reindl' , and Ma and Iqbal) models. The anisotropic models were in good agreement with one another, and an easily implementable technique was devised to determine the best suited decomposition-transposition model matches from six decomposition models due to Liu and Jordan and Klein, Page, Collares-Perreira and Rabl, Iqbal, Erbs et al., and Ibrahim. These matches can be used by territories having a similar climate to Trinidad but lacking measured diffuse horizontal irradiation or plane-of-array measurements, and the technique can be implemented globally by other host territories. The Ma and Iqbal model was chosen to simulate in detail the aforementioned collector as well as the one that was south-oriented only. A south/north-oriented collector required twelve monthly and two seasonal [April: 12.5 (north-oriented), October: 32 (south-oriented)], and annual [11.2 (south-oriented)] adjustments with corresponding gains in the collectable annual global solar irradiation compared to that on a horizontal surface of 9.3%, 7.9%, and 1.5%, respectively. In contrast, a south-oriented collector required eight monthly (September-April) and two seasonal (March: 0 and October: 35.5) adjustments with lower corresponding gains of 7.6% and 7.1%, respectively.