Using the method FOREL for detachment significantly different groups of bees

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Lidia Kolbina, Sofia Nepeivoda, Antonina Nepeivoda XlVI Naukova konferencja pszczelarska, Pulawe, 10-11 marca 2009. P.38-39

In the research process we faced the problem of the division of bee-families into significantly different groups. To our purpose we used the FOREL method of taxonomy, which had been written on the programming language C++. Taxonomy was conducted in the 14-dimensional space.
As a results, under r=0,1 we managed to detach the three basic types of bees, which include 90,43% of bee-families (table 1). The first, the largest, type (α) included 61,70% of bee-families, the second (β) — 18,09%, and the third (γ) — 10,64%.

Table 1.
Distribution of bee-families into groups according to the method FOREL with r=0,1

Рarameter	Type α		Type β		Type γ
Рarameter	Х ± m	S	Х ± m	S	Х ± m	S
Proboscis length, mm	6,11 ± 0,020	0,220	6,30 ± 0,041	0,241	6,15 ± 0,039	0,229
Width of third tergite, mm	4,94 ± 0,015	0,163	4,93 ± 0,023	0,136	4,92 ± 0,023	0,132
Length of third tergite, mm	2,07 ± 0,005	0,055	2,06 ± 0,009	0,051	2,08 ± 0,006	0,035
Number of hooks	21,80 ± 0,083	0,892	21,38 ± 0,135	0,790	19,08 ± 0,180	1,050
Width of front wings, mm	3,18 ± 0,009	0,093	3,16 ± 0,018	0,106	3,20 ± 0,013	0,073
Length of front wings, mm	9,28 ± 0,020	0,220	9,28 ± 0,040	0,232	9,40 ± 0,041	0,237
Cubital index, %	57,66 ± 0,375	4,037	46,45 ± 0,444	2,587	59,92 ± 0,524	3,058
Tarsal index, %	56,42 ± 0,191	2,054	56,35 ± 0,402	2,341	57,65 ± 0,368	2,146

Although the average values of different types were similar, further inquiry made it clear that in type β was predominance of the bee-families of southern races and their hybrids of first and second generations. Type γ unified bee-families, which conservated the characteristics of Apis mellifera mellifera race. Type α contained of the hybrids of third and following generations.