Assume 6 families (or orthologous groups, f1, …, f6) are identified from a given sample of genes (e.g., the genes could be from a genome, or sampled from a metagenome). The naïve mapping approach (shown on the left) will lead to a reconstruction with 4 pathways annotated (p1, p2, p3, and p4). Due to the overlapping nature of the biological pathways (see text for more details), pathway p3 shares function f3 with pathway p2. We claim that only three pathways, p1, p2, and p3 are sufficient to explain the existence of the 6 families annotated in the dataset, and a conservative reconstruction of pathways should have only 3 pathways (shown on the right). As we show in the paper, such a conservative estimation of pathways provides a more reliable estimation of the functional diversity of a sample.