The Fine Structure of Genome Statistics—The Frequency and Size

Abstract

A determination and mathematical analysis of the statistics of gene numbers in genomes was proposed. It establishes sampling ranges and provides an analytical description of the probability density function, which represents the likelihood of the number of genes in sequenced genomes falling within a specific range of values. The components of the developed statistical multi-Poissonian model revealed the fundamental mechanisms underlying the evolution of life and identified the specific ranges of their dominant influence. The quantitative relations between the statistics of the number of genes and the genome size were shown. A mathematical model of genome size evolution was proposed, identifying subpopulations of intensive and extensive genes associated with protein-coding genes, pseudogenes, and non-coding genes.