  This paper studies the existence and uniqueness of local weak solutions to
the d-dimensional tropical climate model without thermal diffusion. We
establish that, when $\alpha=\beta\geq1$, $\eta=0$, any initial data
$(u_{0},v_{0})\in B_{2,1}^{1+\frac{d}{2}-2\alpha}(\mathbb{R}^{d})$ and
$\theta_{0}\in B_{2,1}^{1+\frac{d}{2}-\alpha}(\mathbb{R}^{d})$ yields a unique
weak solution.
