WEATHER AND CHANGE IN WEIGHT OF BEE COLONY 43 



It is quite evident in comparing the values of the unknown factors 

 for the diurnal and nocturnal periods that so far as nocturnal loss is 

 concerned the weather factors used have but little influence. The 

 causes influencing the nocturnal loss during the spring period evi- 

 dently lie chiefly within the colony itself. 



The variables used in calculating the values of the unknown factors 

 during the spring period were also employed in determining the val- 

 ues of the unknown factors for the fall period. The coefficients of 

 correlation, derived from Table 5, and used for this purpose, are — 



Diurnal 



r a .T = -.2310 r T .Tv= .0538 Ttv.sv = .6974 



r G .rv= .5570 r T .E = .2847 r T v.s = .5746 



r G .H = - .0960 r r . fl t,= -.1184 r*.*, = -.5995 



r e .Hv= .3800 r T .s = .1813 r B . s =-.6268 



r a .s = .0595 r™.if= -.4095 r BV .s = .4980 



Nocturnal 



r L . T = - .3391 r T .rv= -.1282 r TV .n = -.4819 



r L .Tv= .5136 r T .n = — .0113 t T v.ev = .5034 



r L .H = -.4821 r T .sv= -.1018 r B . BV =* -.9107 

 Tl.ev = .5391 



Substituting the known values and solving the following simulta- 

 neous equations, 



far =a + hr T vr + cr H T + dr H vr 4- er S T 



Tqtv = (LVttv ~\~ + CTbtv ~f~ (IThvtv 4" BTstv 



Toe = ar TB +h- T vs +c + dr BVB +er SB 

 Tobv = ar TB v + ~br T vRv + cr nB v + d + er 3Bv 

 r as =ar T s +hr T vs +cr BS +dr BV s +e 

 we have — 



a= -.26769, b = . 74349, c = . 16154, d = .04688, e= -.24127 



Again, substituting these values for the path coefficients in the 

 following formula, 



PotTgt + parvToTV + panTan + ponvTanv + fosTas = 1 — O 2 



we find — 



o 2 = . 53609 



Although the same diurnal variables were used in calculating the 

 value of the unknown factors for the fall and spring periods, the val- 

 ues of the unknown factors for these periods are considerably differ- 

 ent. There must be other important variables not included in the 

 present data which emphatically influence the changes of colony 

 weight during the fall. 



The path coefficients for the nocturnal period during the fall were 

 derived from the solution of the following four simultaneous equa- 

 tions: 



Tit = & + br T vT + Cr BT + dfuvr 



Tltv = (LTtiiv + & + CTbtv + dr U vrv 



Tut == (ir-ni -(- krrvii +C + dr U vu 



Tuiv = OTtiiv + hr T vnv + CTnnv + d 



