Four groups of bands (a-d) are controlled by 19 alleles of the Peroxidase4 (Prx-4) complex in the red-fruited tomato species, Lycopersicon esculentum and L. pimpinellifolium. Heterozygotes can be detected by virtue of codominance in all combinations except a few in which bands of single groups are absent ("semi-null" alleles). No recombinations were detected in 7419 F2 segregants of 53 different combinations of alleles. A maximum fiducial limit (P = 0.01) of 0.08% crossing-over between any Prx-4 band groups is estimated. Variation of the anodal b bands is absolutely associated with that of the cathodal d band in respect to presence versus absence and direction of migration. In respect to the origin of these variants, the probability of 18 instances of simultaneous mutation of genes at two loci, always in such complete agreement, is so remote that no more than one locus could conceivably govern b and d. The disposition of a is not similarly associated with that of the other bands, while that of the faint-staining c could not always be reliably resolved. The negation of all save extremely low recombination rates and the observed concomitant variation of b and d strongly support the concept of single locus control of all banding, this hypothesis being espoused until rejection should be required by future research. Models of single locus control of several isozymes are discussed.The peroxidases of tomato species present an unusually rich assortment of isozymes (1-4). At least six, possibly more, loci govern the banding patterns detected by starch-gel electrophoresis. Amongst these isozymes, a group that we designate Prx-4 (fourth from the anodal front; Fig. 1) displays the greatest diversity of genetic variants and greatest complexity of phenotypic expression. To simplify presentation of the data, it is assumed here that all activity in this complex is governed by alleles at the single Prx-4 locus-a point that will be considered further in the discussion. This article deals solely with expression of Prx-4 phenotypes and their inheritance in the red-fruited species, Lycopersicon esculentum Mill. and L. pimpinellifolium (Jusl.) Mill. Their distribution in the ranges of these two species and evolutionary significance will be treated in subsequent publications.The complexity of phenotypic expression at Prx-4 permits the recognition of many different allozymes coded by multiple alleles of this locus. Our approach to the recognition and designation of alleles is conservative; none are thus recognized until their distinctness is unequivocally proven. The acid test of distinctness is not repeated comparisons between various lines of presumed variants, as assumed by many investigators, but F2 segregations in crosses between them. In F2 populations, the parental homozygous types and their heterozygote can be contrasted. If segregation of the three genotypes (or two in cases of complete dominance) cannot be discerned, the putative alleles do not warrant recognition.For the following reasons, our survey probably does n...