  The general deterministic recombination equation in continuous time is
analysed for various lattices, with special emphasis on the lattice of interval
(or ordered) partitions. Based on the recently constructed general solution for
the lattice of all partitions, the corresponding solution for interval
partitions is derived and analysed in detail. We focus our attention on the
recursive structure of the solution and its decay rates, and also discuss the
solution in the degenerate cases, where it comprises products of monomials with
exponentially decaying factors. This can be understood via the Markov generator
of the underlying partitioning process that was recently identified. We use
interval partitions to gain insight into the structure of the solution, while
our general framework works for arbitrary lattices.
