How ecological and morphological diversity accrues over geological time has been much debated by paleobiologists. Evidence from the fossil record suggests that many clades reach maximal diversity early in their evolutionary history, followed by a decline in evolutionary rates as ecological space fills or due to internal constraints. Here, we apply recently developed methods for estimating rates of morphological evolution during the post-Paleozoic history of a major invertebrate clade, the Echinoidea. Contrary to expectation, rates of evolution were lowest during the initial phase of diversification following the Permo-Triassic mass extinction and increased over time. Furthermore, although several subclades show high initial rates and net decreases in rates of evolution, consistent with "early bursts" of morphological diversification, at more inclusive taxonomic levels, these bursts appear as episodic peaks. Peak rates coincided with major shifts in ecological morphology, primarily associated with innovations in feeding strategies. Despite having similar numbers of species in today's oceans, regular echinoids have accrued far less morphological diversity than irregular echinoids due to lower intrinsic rates of morphological evolution and less morphological innovation, the latter indicative of constrained or bounded evolution. These results indicate that rates of evolution are extremely heterogenous through time and their interpretation depends on the temporal and taxonomic scale of analysis.fossil record | morphological diversification | early bursts | evolutionary innovation | mode of evolution A ssessing how rates of morphological evolution have changed over geological time has been a major research goal of evolutionary paleobiologists since Westoll's classic study of lungfish evolution (1). A common pattern to emerge from the fossil record is that many clades reach maximal morphological diversity early in their evolutionary history (2-4). This sort of pattern could be the result of an "early burst" of morphological diversification as taxa diverge followed by a slow-down in rates as ecological space becomes filled (5, 6). Internal constraint or long-term selective pressures could also limit overall disparity, leading to a slowdown in the rate of new trait acquisition over time (7,8). However, only a small proportion of fossil disparity studies have also assessed changes in rates of evolution within lineages (e.g., along phylogenetic branches) thereby providing a more nuanced understanding of how this disparity came about (e.g., refs. 9-13). Simultaneously, decreasing rates in trait evolution have been difficult to detect using phylogenetic comparative data of extant taxa, because of low statistical power (14, 15), loss of signal through extinction (16), and inaccuracies in reconstructing ancestral nodes (17). Here we take advantage of recently developed methods for directly estimating per-lineage-million-year rates of evolution from phylogenies with both fossil and living taxa to test whether declining rates ch...