Synopsis of arithmetic means: High means values in a similarity distribution indicate a relatively large average spread of all 216 taxate areas. Since the size of the taxate areas can be linked to the “communicativity” of a local dialect, the synopsis of mean values refers to the latter property. The profil of the map is clearly structured and shows the leading position of the cantons Aargau and Lucerne as well as the remote situation of the canton Valais.
Synopsis of maximal values: Visualizes “dialect kernels” on an undulated landscape, which consists of “peaks” and “valleys”. The peaks (here displayed in red) correspond to local dialects which are very similar to each other and which form kernels from a spatial point of view. However, many local dialects are poorly linked to their neighbors and only show low similarity values. These points are displayed with cold colors on the map. The red areas mostly form coherent aggregates, while the blue areas occur as lines, like valleys.
Synopsis of standard deviations: The standard deviation measures the “scattering” of a frequency distribution, i.e. the sum of the deviations of all n measured values from their arithmetic mean. Higher deviations indicate a highly variable structuring of the measured values (in the sense of high and small values occurring side-by-side). On the clearly structured map, the warm colors form three main zones with internally convergent variability: (1) the cantons Zurich and Thurgau (with annexes), (2) the canton Bern, and less prominently (3) the canton Valais. The transitions between these zones are relatively smooth.
Synopsis of skewness values: The skewness represents the degree of symmetry of a frequency distribution. Skewness values of 0 stands for perfect symmetry, negative values stand for an extreme concentration of measured values above the arithmetic mean (here: blue polygons), and positive values indicate a concentration of measured values below the arithmetic means (here: red polygons). In other words, negative values hint at strong linguistic dynamics (in the sense of an intensive irradiation of the respective local dialects), while positive values hint at conservative dialects and a peripheric situation. The circle around the canton Zurich may be interpreted as an earlier circular irradiation tendency. The blue threshold in the south of St. Gallen shows compensation processes over shorter distances between the bordering local dialects of the cantons St. Gallen, Schwyz, Grisons and Zurich.