. Carnegie Institution of Washington publication. Analysis of Heterogeneity in Some Simplest Chakactees 203 Statistically, the problem must be answered from four aspects: (1) in the species as a whole, regardless of where or when the specimens lived, it is necessary to determine the entire range presented; (2) comparisons of one local- ity with another are necessary to discover possible local influence; (3) successive generations in the same location must be compared to determine the constancy of relation between local causes and effects; (4) comparison of series of genera- tions in the same a


. Carnegie Institution of Washington publication. Analysis of Heterogeneity in Some Simplest Chakactees 203 Statistically, the problem must be answered from four aspects: (1) in the species as a whole, regardless of where or when the specimens lived, it is necessary to determine the entire range presented; (2) comparisons of one local- ity with another are necessary to discover possible local influence; (3) successive generations in the same location must be compared to determine the constancy of relation between local causes and effects; (4) comparison of series of genera- tions in the same and different localities to determine the existence of continued or permanent local influences. These four examinations will give all the infor- mation possible from this source, and when combined, will give some basis for the determination of the nature of diversity in these simplest characters, and provide the proper data for initiating experimental analysis of problems not touched by the methods used. In this study I have examined these characters in many thou- sands of specimens, and in living material and museum specimens have looked constantly for new or unusual " ; In figure 22 I have shown outline drawings of the main types of variations found in L. Fig. 22.—Diagrammatic representation showing common types of variation in spot c found in L. undecimlineata. Fig. 23.—Diagrammatic representation of outer portion of pronotum in L. undecimlineata, showing relation of different directions of variation in spots c, e, and relations of these to the element x. Examination of the variations shows clearly that the character in its variations is delimited to a few directions of change. These are diagrammatically shown in figure 23, which is a composite of the spot in outline to show the direction of departure. As compared with other species, it is quite distinct in its variations, which are few and rarely of any magnitude. Medianward fusions


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