  We study compactifications of $D$-dimensional de Sitter space with a $q$-form
flux down to $D-Nq$ dimensions. We show that for $(N-1)(q-1)\geq 2$ there are
double-exponentially or even infinitely many compact de Sitter vacua, and that
their effective cosmological constants accumulate at zero. This population
explosion of $\Lambda \ll 1$ de Sitters arises by a mechanism analogous to
natural selection.
