Measures of synteny conservation between species pairs

Measures of conserved synteny are important for estimating the relative rates of chromosomal evolution in various lineages. We present a natural way to view the synteny conservation between two species from an Oxford grid--an r x c table summarizing the number of orthologous genes on each of the chromosomes 1 through r of the first species that are on each of the chromosomes 1 through c of the second species. This viewpoint suggests a natural statistic, which we denote by rho and call syntenic correlation, designed to measure the amount of synteny conservation between two species. This measure allows syntenic conservation to be compared across many pairs of species. We improve the previous methods for estimating the true number of conserved syntenies given the observed number of conserved syntenies by taking into account the dependency of the numbers of orthologues observed in the chromosome pairings between the two species and by determining both point and interval estimators. We also discuss the application of our methods to genomes that contain chromosomes of highly variable lengths and to estimators of the true number of conserved segments between species pairs.