The "nearly neutral" theory of molecular evolution proposes that many features of genomes arise from the interaction of three weak evolutionary forces: mutation, genetic drift, and natural selection acting at its limit of efficacy. Such forces generally have little impact on allele frequencies within populations from generation to generation but can have substantial effects on long-term evolution. The evolutionary dynamics of weakly selected mutations are highly sensitive to population size, and near neutrality was initially proposed as an adjustment to the neutral theory to account for general patterns in available protein and DNA variation data. Here, we review the motivation for the nearly neutral theory, discuss the structure of the model and its predictions, and evaluate current empirical support for interactions among weak evolutionary forces in protein evolution. Near neutrality may be a prevalent mode of evolution across a range of functional categories of mutations and taxa. However, multiple evolutionary mechanisms (including adaptive evolution, linked selection, changes in fitness-effect distributions, and weak selection) can often explain the same patterns of genome variation. Strong parameter sensitivity remains a limitation of the nearly neutral model, and we discuss concave fitness functions as a plausible underlying basis for weak selection.U NDER the neutral model, newly arising mutations fall into two major fitness classes: strongly deleterious and selectively neutral (Kimura 1968;King and Jukes 1969). The first class is well supported by mutation accumulation experiments (reviewed in Simmons and Crow 1977;Halligan and Keightley 2009) and early DNA sequence comparisons (Grunstein et al. 1976;Kafatos et al. 1977) and is shared among competing evolutionary models. The novel and controversial aspect of the neutral theory was the proposition that, among mutations that go to fixation, the vast majority are selectively neutral. Advantageous substitutions, although important in phenotypic evolution, are sufficiently rare at the molecular level that they need not be considered to adequately model the process. Under the neutral theory, within-and between-species variation sample two aspects of a process of origination by mutation and changes in gene frequency dominated by drift and, for some mutations, negative selection (Kimura and Ohta 1971a). In contrast, polymorphism and divergence may be "uncoupled" under selection models (Gillespie 1987).
Protein polymorphism and the neutral model: invariance of heterozygosityClear predictions for levels of polymorphism within populations and divergence among species are appealing aspects of the neutral model. However, within a few years of its proposal, the notion of drift-dominated evolution was challenged by overall patterns of allozyme polymorphism and contrasts between DNA and protein divergence.Although evolutionary geneticists were generally surprised by the extent of naturally occurring variation revealed by allozyme gel electrophoresis in the 197...