146 Annals Entomological Society of America [Vol. XIII, 



which must be considered as part of the time required for a 

 complete cycle, will amount to from 30 to 70 or more days. 

 The total time required for the development of a complete 

 generation of a Hemipterous insect will then be made up of the 

 following factors and be somewhere within the limits suggested : 



Min. Ave. Max. 



Development of eggs (including mating time) 10 • ~ 17 25 



Period of egg deposition , 30 50 75 



Egg Stage ........'....:'.... 10 15 35 



Nymph stage ■ :,...;:...:..'..•...■...■. 12 30 55 



62 112 190 



This tabulation, which is of course merely suggestive, indi- 

 cates that the minimum time necessary to mature a complete 

 brood is over two months, the average time three and two-thirds 

 months, and that in some cases it requires over six months for 

 the process. 



With these facts in mind we may return to Professor Funk- 

 houser's too ready acceptance of the facilities of the mathemat- 

 ical prognosticator and note that the first two of his proposed 

 generations correspond with the beginning and maximum of 

 the first generation according to his own statements and that 

 the remaining two belong in the same way to the second. He 

 found only two mating periods and these correctly. 



Wildermuth working in Tempe, Arizona, gave careful and 

 accurate figures on the beginnings of each stage in the life cycle 

 of Stictocephala festina and especially increased our knowledge 

 of the effect of temperature upon the rate of development of 

 eggs and nymphs, showing an average variation in, egg develop- 

 ment from 14 to 35 days and of nymphs for 32 to 68 days. He, 

 however, was led into the common error and after giving detailed 

 figures enabling the writer to chart two definite broods he "cal- 

 culated" that there were four broods. He did not give figures 

 that would enable one to close up the posterior extensions of the 

 stages with accuracy but the ordinary extension is amply suffi- 

 cient to explain the presence of all stages late in the season 

 which misled him into the four brood fallacy. The chart is also 

 interesting in showing the wide variations in the time of appear- 

 ance of insect life in the arid , south west as compared to that in 

 New York. , This, is especially noticeable w:hen it is remepibered 

 that this is a sppcies with an adult .hibernation which under. 



