. Journal of genetics. ?MSg 2mSg y^msg The sign x signifies increase in the number of gametes, or gameto-genic, segregating cells, and the following number the relative amountof increase along the different axes. The primary and secondary reduplications, three in number, arenotable in that each represents a case of coupling. Let us thereforeconsider the case in which the primary reduplications are of the form1 : n : n : 1 for A and B and 1 : iii : ni : I for A and C. Under theseconditions the gametic series will be ABC + wiABc + «AbC + niiiAbc + nmaBC + )(aBc + j/iabC + abc, and the reduplicat
. Journal of genetics. ?MSg 2mSg y^msg The sign x signifies increase in the number of gametes, or gameto-genic, segregating cells, and the following number the relative amountof increase along the different axes. The primary and secondary reduplications, three in number, arenotable in that each represents a case of coupling. Let us thereforeconsider the case in which the primary reduplications are of the form1 : n : n : 1 for A and B and 1 : iii : ni : I for A and C. Under theseconditions the gametic series will be ABC + wiABc + «AbC + niiiAbc + nmaBC + )(aBc + j/iabC + abc, and the reduplication between Band C will be found (by extracting) tobe of the form BC : Be : bC : be :: 1 + iiiii, : in + n : n + m : nin + 1. We thus get the result that the reduplication between B and C isof the same form whether the ratios between A and B and A and C are 1 : n : n : 1 and \ : m : m : 1 or n : 1 : 1 : n and in : 1 : 1 : m. A. H. Trow This case may be represented diagrammatically; thus 317 inn Abe «AbC. JiaBc abC iBC Since n and m are each greater than one, it may be shewn that 1 + nni . whether n is equal to, greater than or less than m, IS greater than one, and therefore that the type of reduplication between B andC is of the nature of a coupling. We have therefore established therule that reduplications between A and B and between A and Cwhether of the form of couplings or of repulsions, give rise to asecondary reduplication between B and C of the form of a coupling. We may now consider the case in which the types of reduplicationbetween A and B and between A and C belong to the series w : 1 : 1 : ?iand \ : m : m : 1 respectively. The gametic series in this case will be nABC + nniABc + AbC + ?reAbc + ?MaBC + aBc + «?«abC + , and the reduplication between B and C will be necessarily of the form BC : Be : bC : be :: n + m : nm + 1:1 + nin : m + n, 318 Forms of Reduplication and be graphically represented thus :- mAbc imi abC
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