Gene density over the chromosome of Escherichia coli: frequency distribution, spatial clustering, and symmetry.

Published studies of gene density (the number of genetic loci per unit of length on the linkage map) for Escherichia coli report a nonrandom frequency distribution and indicate notable symmetry in spatial clustering of gene density. We reexamined these results and found that gene density is a random variable with a frequency distribution that is lognormal. That is, the logarithm of gene density is a normally distributed random variable. Furthermore, comparison of the observed E. coli map and computer-generated random maps showed that symmetries in the spatial clustering of gene density are not exceptional; these features arise naturally among genes (or loci) whose density has this frequency distribution. These results are discussed along with other related examples that illustrate the emerging importance of statistical inference in molecular genetics.