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Figure S1(a) Frequency of occurrences of paternal surnames. Paraguay 2008, 4.8 m surnames, bilogarithmic scale.

Figure S1(b) Frequency of occurrences of paternal surnames. Paraguay 2008, 4.8 m surnames, bilogarithmic scale.

Figure S2 Variation of FST and FIS over FIT in 237 districts of Paraguay. From isonymy of 4.8 million surnames in anagraphic records.

Figure S3 Variations of Lasker's distance between 237 districts in Paraguay.

Figure S4 Plot of the position of the 18 departments of Paraguay on the first and second factor obtained by Principal Component Analysis of Lasker's surname distance matrix.

Figure S5 Dendrogram of 18 Paraguayan departments based on Lasker's distance.

Figure S6 Plot of the position of the 237 districts of Paraguay on the first and second factor obtained by Principal Component Analysis of Lasker's surname distance matrix.

Figure S7 Dendrogram of the 237 Paraguayan districts based on. Lasker's distance.

Figure S8 Map of the main cluster identified with the surname Lasker's distance in Paraguay.

Table S1 Isonymy in Paraguay. Department, district, number of pepole, average coordinates (Lat and Lon). Prefix: NIND = number of individuals; NSUR = number of different surnames; I = isonymy; ETI = isonymy error; ALFA = Fisher'α; ETAL = Fisher'α error; NI = Karlin's ν; ETINI = Karlin's ν error. Suffix: PA or PP = paternal surname; MA or MM = maternal surname; PYM or PM = both paternal and maternal surname. FST = random inbreeding FST; ETFST = random inbreeding FST error; IOBS = total observed isonymy; FIS = local inbreeding FIS; FIT = total inbreeding FIT.

Table S2 Frequency of the first 50 surnames in Paraguay. The frequencies given are obtained from the paternal and maternal surnames pooled.

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