A study of the inheritance of awnedness, aleurone color, growth habit, and spike density in barley by John M Green A THESIS Submitted to the Graduate Committee in partial fulfillment of the requirement for the degree of Master of Science in Agronomy Montana State University © Copyright by John M Green (1943) Abstract: The objective of this study was to determine the mode of inheritance and linkage relationships of four characters in barley. The mode of inheritance was determined by observing the F1 generation plants and by studying segregation in the F2 and F3 generations. Linkage intensities were calculated by the product method using the combined F2 and F3 data. The inheritance of awnedness and growth habit ms studied in crosses of Arlington Aimless, C. I. 702, with the two Atrada varieties, C. I. 6641 and C. I. 5638. In addition the inheritance of aleurone color and spike density was studied in the cross with Atrada, C. I. 6638. Although a two-factor difference for awnedness was observed in each cross, a total of three different factor pairs affecting awnedness were present in the two crosses studied. A factor pair for normal versus reduced lateral awns, which affected length of central awns also, was carried in the dominant condition in each Atrada variety and in the recessive condition in Arlington Awnless. Two factor pairs for awn length were carried in the dominant condition in Arlington Awnless; one was dominant in Atrada, C. I. 5638, and recessive in Atrada, C. I. 5641; and the other was recessive in Atrada, C. I. 5638, and dominant in Atrada, C. I. 5641. Normal lateral awns were partially dominant over reduced and long awns were apparently completely dominant over short. Growth habit, aleurone color, and spike density were each inherited on a single-factor basis, although additional modifying factors not detected in this study may have affected growth habit in the cross Arlington Awnless x Atrada, C. I. 5638. Blue aleurone color was dominant over white and xenia was observed in the inheritance of this character. Erect growth habit was dominant over decumbent , and lax spikes were dominant over dense. In Arlington Awnless x Atrada, C. I, 5641, the two factors for awnedness were inherited independently of each other and independently of growth habit. In Arlington Awnless x Atrada, C. I. 5658, long versus short awns were linked with lax versus dense spikes with 24.18±6.30 percent crossing over. The linkage relationships of growth habit in this cross were not determined because the ratio observed for this character did not fit a monohybrid ratio, although segregation in the Fg generation indicated a single factor difference. All other characters segregated independently of each other. A STUDY OF THE INHERITANCE OF AWNEDIiESS, ALEURONE COLOR, GROWTH HABIT, AND SPIKE DENSITY IN BARLEY by JOHN M, GREEN A THESIS x S ub m itted t o th e G raduate Committee in p a r t i a l f u l f i l l m e n t o f th e req u irem en t* f o r th e d e g re e o f M aster o f Soienee i n Agronomy at Montana S ta te C ollege Approved* C hairm an, Examining Coixdb to e r a a h , G raduate C om nittoe Bozeman, Montana — ! /3 7 8 fi.g S .3 x L . “f ^ — 2— ACKUOlVLEDGlfflNT The w r i t e r w ishes to acknowledge h i s in d e b te d n e ss to Mr. S . C. L itz e n b e rg e r f o r p ro v id in g th e m a te r ia l used i n t h i s s tu d y and to e x p re ss h is a p p r e c ia tio n t o him and t o D r. R . H. Bamberg and D r. R. P . Murphy f o r t h e i r a s s is ta n c e i n th e c l a s s i f i c a t i o n o f t h i s m a te r ia l and i n th e a n a ly s is and f i n a l arran g em en t o f th e d a t a . The w r i t e r a ls o w ish es to e x p re ss h is a p p r e c ia tio n to th e D iv isio n o f C e re a l Crops and D iseases f o r f i n a n c i a l a s s is ta n c e p ro v id ed th ro u g h th e F ello w sh ip main­ ta in e d by t h a t agency a t Montana S ta te C o lle g e . 4 7 0 6 4 3 —5— TABLE OP C0NTE1JTS Page LIST OF TABLES .......................................................................... .... .......................... 5 ABSTRACT.................................. 7 INTRODUCTION . . . . . ........................................................................................ 8 REVIEW OF LITERATURE ..................... 8 Avm Length ...................................... 8 Normal v e rs u s Reduced L a te r a l Avms B lue v e rsu s W hite A leurone C olor . . . . . . . . . . . . 10 . . . . . . . . . . . . . 11 S p rin g v e rs u s W in ter H a b it o f G r o w t h ............................................ 13 Lax v e rs u s Dense S p ik e s . . . . . . . . . 14 ...................... . . . Linkage Groups i n B a rle y . . . . . . . . . . . . . . . . . 15 MATERIALS AND METHODS........................................................................................ D e s c r ip tio n o f P a re n ts and C h a ra c te rs S t u d i e d ..................... . 16 16 Method o f Growing th e F i l i a l G e n e r a t i o n s ......................... • • • 17 Methods o f C l a s s i f i c a t i o n 18 . . . . . . . . . . . . Symbols f o r G en etic C h a r a c t e r s ..................... ................. • • • A n a ly sis o f D a t a ....................................... EXPERIMENTAL RESULTS 21 • 21 ........................................................................................ 23 V a r ia tio n i n Awn L ength . . . . . . . . . . . . . . . . . . 23 I n h e r ita n c e o f Awnedness 23 . . . . . . . . . . . ................... A rlin g to n A im less x A tra d a , C. I . 5641 ...................... 23 A rlin g to n A im less x A tra d a , C. I . 5638 . . . . . . . . 26 I n h e r ita n c e o f A leurone C olor i n A rlin g to n A im less x A tra d a , C. I • 5638 ....................................... 32 Page I n h e r ita n c e o f Growth H a b it in A rlin g to n Armless x A tra d a » C. I* 5641 33 I n h e r ita n c e o f Growth H a b it i n A rlin g to n Awnless x A tra d a , C. I . 5638 ............................................ 34 I n h e r ita n c e o f D e n s ity o f S p ik e i n A rlin g to n Awnless x A tra d a , C. I . 5638 . . . . . . . . . . . 35 Linka g e R e la tio n s h ip s i n A rlin g to n Avmless x A tra d a , C. I . 5641 37 C h a ra c te rs i n h e r i t e d in d e p e n d e n tly . . . . . .......... 37 Linkage R e la tio n s h ip s i n A rlin g to n Awnless x A tra d a , 0 . I . 5638 . . . . . . . . . ........................... . . . . . 37 C h a ra c te rs i n h e r i t e d in d e p e n d e n tly . . . . . . . . . . 37 C h a ra c te rs lin k e d i n 39 in h e r ita n c e . . . . . . . . . . . DISCUSSION................................................................. 42 SUMMARY 46 .......................................................................................................................... LITERATURE CITED AHD CONSULTED ..................................................... . . . . . DESCRIPTION OF P L A T E S .................................................................. PLATE I PLATE I I ........................................... 48 51 52 53 5LIST OF TABLES Page T able I T ab le I I T able I I I T ab le 17 T able V T able T I T able V II T able V III T ab le I I T able I H easu ren en ts re c o rd e d and th e a n a ly s is o f v a ria n c e c a lc u la te d on c e n t r a l awn le n g th s a s a p a r t o f th e s tu d y o f v a r i a t i o n i n aim le n g th w ith in th e A rlin g ­ to n Awnless v a r i e t y 24 O bserved and c a lc u la te d F2 p h en o ty p ic r a t i o s f o r awn ty p e s in A rlin g to n A m le ss x A tra d a , C. I . 5641 25 O bserved and c a lc u la te d F2 g e n o ty p ic r a t i o s f o r awnedness as d eterm in ed by th e F , s e g r e g a tio n i n A rlin g ­ to n Avciless x A tra d a , C. I . 5641 26 O bserved and c a lc u la te d F2 p h en o ty p ic r a t i o s f o r axvodness i n A rlin g to n Awnloss x A tra d a , C. I . 5638 27 Observed and c a lc u la te d F2 g e n o ty p ic r a t i o s f o r awnedneee a s d e term in e d b y th e F j s e g r e g a tio n i n A rlin g to n A im less x A tra d a , Ce I . 563 8 28 Frequency d i s t r i b u t i o n o f c e n t r a l aim le n g th s i n Fg f a m ilie s grown from f i f t e e n F2 p la n ts c l a s s i f i e d a s h aving th e A rlin g to n A m le s a , o r 2 , awn ty p e 29 H y p o th e tic a l genotypes and o b serv ed b re e d in g b e h a v io r o f th e F2 g e n e r a tio n s e g re g a te s i n A rlin g to n A im less x A tra d a , C. I* 5641, and A rlin g to n A im less x A tra d a , C. I . 5638 31 Observed and c a lc u la te d F2 g e n o ty p ic r a t i o s f o r b lu e v e rs u s w h ite a le u ro n e as d eterm in ed by th e Fg s e g r e g a tio n o f A rlin g to n Awnless x A tra d a , C. I . 5638 33 O bserved F2 p h en o ty p ic r a t i o s f o r s p rin g v e rs u s w in te r grow th h a b i t i n A rlin g to n Awnless x A tra d a , Ce I • 5 6 3 8 , and A rlin g to n A im less x A tra d a , Ce Ie 5641 34 Observed Fg g e n o ty p ic r a t i o s f o r s p rin g v e rs u s w in te r grow th h a b x t a s determ in ed b y th e F j s e g r e g a tio n in A rlin g to n Awnless x A tra d a , Ce I , 5638, and A rlin g to n Awnless x A tra d a , Ce I , 5641 35 T able H O bserved and c a lc u la te d Fg p h en o ty p ic r a t i o s f o r la x v e rs u s dense sp ik e i n A rlin g to n Awnless x A tra d a , Ce I . 5638 T able X II Observed and c a lc u la te d Pg g e n o ty p ic r a t i o s f o r la x v e rs u s dense sp ik e a s d eterm in ed b y th e Fg s e g r e g a tio n i n A rlin g to n Awnless x A tra d a , C. I , 5638 T able X III Observed and c a lc u la te d Fg g e n o ty p ic r a t i o s f o r s p rin g v e rs u s w in te r h a b it o f grow th and two f a c t o r s f o r awnedness as d eterm in ed by th e F3 s e g r e g a tio n o f A rlin g to n Awnless x A tra d a , C. I . 5641 T able XIV Observed and c a lc u la te d Fg g e n o ty p ic r a t i o s a s d eterm in ed by th e Fg s e g r e g a tio n f o r c h a r a c te r s in h e r ite d in d e p e n d e n tly i n A rlin g to n Awnless x A tra d a , C. I . 5638 T able XV Observed and c a lc u la te d Fg g e n o ty p ic r a t i o s a s d eterm in ed b y th e Fg s e g r e g a tio n f o r lo n g v e rs u s s h o r t awns and la x v e rs u s dense s p ik e s in A rlin g to n Awnless x A tra d a , C. I* 5638 T able XVI O bserved and c a lc u la te d Fg p h en o ty p ic r a t i o s f o r lo n g v e rs u s s h o r t awns and la x v e rsu s dense s p ik e s i n A rlin g to n Awnless x A tra d a , C. I . 5638 A S tu d y o f th e I n h e r ita n c e o f Awnednees, A leurone C o lo r, Growth H a b it, and S pike D en sity i n B a rle y ABSTRACT The o b je c tiv e o f t h i s s tu d y was to d eterm in e th e node o f in h e r ita n c e and lin k a g e r e la t i o n s h i p s o f fo u r c h a r a c te r s i n b a r l e y . The node o f in ­ h e r ita n c e was d eterm in ed by o b s e rv in g th e g e n e ra tio n p la n ts and by s tu d y in g s e g r e g a tio n i n th e Fg and Fg g e n e r a tio n s . Linkage i n t e n s i t i e s were c a lc u la te d by th e p ro d u c t method u s in g th e combined Fg and Fg d a ta . The in h e r ita n c e o f awnedness and grow th h a b it was s tu d ie d i n c ro s s e s o f A rlin g to n A w nless, C. ! • 702, w ith th e two A tra d a v a r i e t i e s , C. I . 5641 and C. I . 5638. In a d d itio n th e in h e r ita n c e o f a le u ro n e c o lo r and sp ik e d e n s ity was s tu d ie d in th e c ro s s w ith A tra d a , C. I . 5638. A lthough a tw o - f a c to r d if f e r e n c e f o r awnedness was o bserved i n each c r o s s , a t o t a l o f th r e e d i f f e r e n t f a c t o r p a ir s a f f e c t i n g awnedness were p re s e n t i n th e two c ro s s e s s tu d ie d . A f a c t o r p a i r f o r norm al v e rsu s re ­ duced l a t e r a l aw ns, which a f f e c t e d le n g th o f c e n t r a l awns a l s o , was c a r r ie d i n th e dom inant c o n d itio n i n each A tra d a v a r i e t y and i n th e r e c e s s iv e con­ d i t i o n i n A rlin g to n A w nless. Two f a c t o r p a ir s f o r awn le n g th were c a r r ie d i n th e dom inant c o n d itio n i n A rlin g to n A w nless; one was dom inant i n A tra d a , C. I . 5638, and r e c e s s iv e i n A tra d a , C. I . 5641; and t h e o th e r was re c e s s iv e i n A tra d a , C. I . 5638, and dom inant i n A tra d a , C. I . 5641. Normal l a t e r a l awns were p a r t i a l l y dom inant ovor red u ced and long awns were a p p a r e n tly c o m p le te ly dom inant o v o r s h o r t . Growth h a b i t , a le u ro n e c o l o r , and s p ik e d e n s it y were each i n h e r ite d on a s i n g l e - f a c t o r b a s i s , a l ­ though a d d itio n a l m odifying f a c to r s n o t d e te c te d i n t h i s s tu d y may have a f f e c t e d grow th h a b it i n th e c ro s s A rlin g to n Awnless x A tra d a , C. I . 5638. Blue a le u ro n e c o lo r was dom inant o v e r w h ite and x e n ia was o b serv ed i n th e in h e r ita n c e o f t h i s c h a r a c t e r . E r e c t grow th h a b it was dom inant ovor de­ cum bent, and la x s p ik e s w ere dom inant o v e r d e n se . I n A rlin g to n Awnless x A tra d a , C. I . 5641, th e two f a c t o r s f o r awned­ n e ss were in h e r ite d in d e p e n d e n tly o f each o th e r and in d e p e n d e n tly o f grow th h a b i t . I n A rlin g to n Awnless x A tra d a , C. I . 5638, lo n g v e rs u s s h o r t awns were lin k e d w ith la x v e rs u s dense s p ik e s w ith 24.18+ 6.30 p e rc e n t c ro s s in g o v e r . The lin k a g e r e l a t i o n s h i p s o f grow th h a b it i n t h i s c ro s s were n o t d eterm in ed b ecau se th e r a t i o o b serv ed f o r t h i s c h a r a c te r d id n o t f i t a monohybrid r a t i o , a lth o u g h s e g r e g a tio n i n th e Fg g e n e ra tio n in d ic a te d a s in g le f a c t o r d i f f e r e n c e . A ll o th e r c h a r a c te r s se g re g a te d in d e p e n d e n tly o f each o t h e r . A S tu d y o f th e I n h e r ita n c e o f A nnednoss, A leurone C o lo r, Growth H a b it, and Spike D e n sity i n B a rle y John M, Green INTRODUCTION One o f th e f i r s t g e n e tic s tu d ie s i n b a r l e y , th e r e s u l t s o f which w ere p u b lish e d i n 1901, was conducted i n A u s tria b y von T sc h eraa k , S in ce t h a t t i n e th e p o s s i b i l i t i e s a ffo rd e d by b a r le y f o r such s tu d ie s have a t t r a c t e d th e a t t e n t i o n o f many s tu d e n ts o f g e n e tic s and p la n t b re e d ­ in g . At th e p re s e n t tim e , g e n e tic s t u d ie s w ith s e v e ra l d i f f e r e n t b a r le y c ro s s e s a r e b e in g conducted a t th e Montana A g r ic u ltu r a l Experim ent S t a t i o n . The r e s u l t s o f one o f th e s e s t u d i e s , a s tu d y o f th e in h e r ita n c e o f awnedn e s s , a le u ro n e c o l o r , grow th h a b i t , and s p ik e d e n s ity in two c r o s s e s , a re p re s e n te d i n t h i s p a p e r. REVIEW QF LITERATURE Awn Length The in h e r ita n c e o f awn le n g th i n th e progeny o f numerous c ro s s e s was s tu d ie d by von U bisch ( 2 0 ) l / . He co ncluded t h a t awn le n g th was con­ t r o l l e d by th r e e f a c t o r p a ir s which he d e s ig n a te d Aa, Uu, and Vv. The genotype A -U -w gave r i s e t o awns o f e x tr e e le n g th ; A -u u w , A-uuV-, and aaU -V -, lo n g awns; a& U -w , aauuV -, and a a u u w , s h o r t aw ns. D e n sity o f l / F ig u re s i n p a r e n th e s is r e f e r to ^ L i t e r a t u r e c ite d and c o n s u lte d '', page 4 8 . - 3- s p ik e was c lo s e ly a s s o c ia te d w ith awn le n g th i n th e c ro s s e s stu d ie d # Miyake and Im ai (12) a ls o found th r e e f a c t o r p a ir s in v o lv e d i n th e in h e r ita n c e o f awn le n g th i n some c ro s s e s s tu d ie d . I n o th e r c ro s s e s a s i n g l e - f a c t o r d if f e r e n c e betw een lo n g and s h o r t awns was o b s e rv e d . Long v e rs u s s h o r t awns was found to be lin k e d w ith h u lle d v e rs u s naked seed w ith 5 p e rc e n t c r o s s in g o v er and w ith awned v e rs u s aw n less l a t e r a l f l o r e t s . In c ro s s e s i n w hich th r e e f a c t o r p a ir s f o r awn le n g th were in v o lv e d , awn le n g th was lin k e d w ith two row v e rs u s s i x row , awned v e rs u s aw nless l a t e r a l f l o r e t s , norm al v e rs u s c u rle d (a dw arf c h a r a c t e r ) , and p ro b a b ly lin k e d w ith p u rp le v e rs u s w h ite s e e d . Ikeno (9 ) re p o rte d a tw o -f a c to r d if f e r e n c e f o r awn le n g th i n Klnukawa, a lo n g awned v a r i e t y , c ro s s e d w ith N ogenhasi, a v a r i e t y w hich i s g e n e r a lly a w n le s s , b u t som etim es has s h o r t c e n t r a l aw ns. In f o u r d i f f e r e n t c ro s s e s M yler (14) a ls o found a tw o - f a c to r d if f e r e n c e f o r awnedness when aw nless and awned ty p e s were c r o s s e d . I n th r e e o f th e s e c ro s s e s lo n g awned v a r­ i e t i e s were c ro s s e d w ith A w nless, C. I# 5 6 3 1 ,^ / an aw nless v a r i e t y . w ere six -ro w ed b a r l e y s . A ll The two awn f a c t o r s f o r w hich s e g r e g a tio n was o b serv ed were d e s ig n a te d Lk and Lk^ by l t y l e r • S e g re g a te s c a r ry in g b o th f a c t o r s i n th e dom inant c o n d itio n were long-aw nedj th o se c a r r y in g o n ly Lk i n th e dom inant c o n d itio n were s h o r t awned; th o s e c a r ry in g o n ly Lk^ i n th e dom inant c o n d itio n were " a w n le tte d " ; and th o s e re c e s s iv e f o r b o th f a c t o r p a i r s were a w n le s s . The " a w n le tte d ” ty p e had awns on th e c e n t r a l s p ik e l e ts 2 / C. I . number r e f e r s to th e a c c e s s io n number o f D iv is io n o f C ereal Crops and D is e a s e s . •»10 — o n ly . I n th e f o u r th c r o s s , R e d ra c h is , C. I . 5649, x A ra ile ss, a 1 5 :1 r a t i o f o r aimed to aw nless was o b s e rv e d . R ed rach is i s a tw o-row ed, aimed v a r i e t y . A s i n g l e - f a c t o r d if f e r e n c e betw een lo n g and s h o r t awns i n a c ro s s o f A tra d a , C. 1 . 5658 x T re b i-V e lv e t was re p o rte d b y S tu m ( 1 9 ) . He found th e f a c t o r p a i r f o r awn le n g th (L k^Ik^) to b e in h e r i t e d independ­ e n t l y o f rough v e rs u s sm ooth awns (R r) and t o b e lin k e d w ith la x v e rsu s d ense s p ik e s (L gly ) w ith 23 p e rc e n t c r o s s in g o v e r . G linyany (6 ) found a s in g le f a c t o r p a i r a f f e c t in g awn le n g th in N u d ih a x to n i, a v a r i e t y w ith norm al c e n t r a l awns b u t no l a t e r a l aw ns, when c ro sse d w ith a hooded v a r i e t y . The f a c t o r p a i r (Nh) f o r lo n g v e rsu s s h o r t awns was h y p o s ta tic t o a f a c t o r p a i r p re s e n t which c o n tr o lle d th e d ev elo p ­ ment o f l a t e r a l awns (A a). Normal v e rs u s Reduced L a te r a l Awns Ikono (9) o b serv ed a 1 :2 :1 r a t i o f o r absence o f l a t e r a l aw ns, in ­ te rm e d ia te l a t e r a l aw ns, and f u l l y developed l a t e r a l awns i n th e Fg pro­ geny o f a c ro s s o f Einukawa x N ogenhasi. Kinukawa Is a f u l l y awnod v a r­ i e t y w h ile K ogenhasi i s g e n e r a lly a im le ss b u t sometimes has s h o r t c e n tr a l aw ns. He concluded t h a t th e f a c t o r r e s p o n s ib le was a p a r t i a l l y dominant in h ib ito r fa c to r. S im ila r s e g r e g a tio n was ob serv ed b y G linyany (6 ) i n a c ro s s o f N udihaxtoni tim e s a hooded v a r i e t y . He a ls o concluded t h a t th e f a c t o r r e s p o n s ib le was an i n h i b i t o r and found t h a t i t was e p i s t a t i c to a f a c t o r f o r awn le n g th p r e s e n t i n th e c r o s s . A s i n g l e - f a c t o r d if f e r e n c e was a ls o r e p o r te d by Bngeldow ( 3 ) , Miyedca and Im ai (1 2 ) , end Leonard (1 1 ) . Engeldow s tu d ie d a c ro s s o f H a x to n i, a 11 ■ variety s i m i l a r to N u d ih a x to n i, w ith a lo n g aimed v a r i e t y . Miyake and Im al s tu d ie d s e v e r a l c ro s s e s o f norm al aimed v a r i e t i e s on v a r i e t i e s hav­ in g no awns on th e l a t e r a l s p i k e l e t s . They found th e f a c t o r f o r normal v e rs u s reduced l a t e r a l awns to be lin k e d w ith norm al v e rs u s c u rle d (d w a rf), and p ro b a b ly lin k e d w ith p u rp le v e rsu s w h ite s e e d . They p la ce d th e f a c t o r p a i r f o r norm al v e rs u s red u ced l a t e r a l awns i n lin k a g e group I I . Leonard s tu d ie d c ro s s e s o f N udihaxtoni on th r e e hooded v a r i e t i e s , C o lse ss IV , C o lse ss V, and A ntrum . He d e s ig n a te d th e f a c t o r p a i r con­ t r o l l i n g l a t e r a l awn developm ent as L r l r , and found i t lin k e d w ith g reen v e rs u s orange s e e d lin g c o lo r (O ro r) w ith 3 3 .5 8 * 1.2 0 p e rc e n t c ro s s in g o v e r. The f a c to r p a i r L r l r was in h e r ite d in d e p e n d e n tly o f b la c k v e rsu s w h ite f l o r a l b r a c ts (B h ), covered v e rsu s naked seed (N n), hoods v e rsu s awns (Kk), lo n g - v e rs u s s h o r t- h a ir e d r a c h l l l a ( S s ) , g reen v e rs u s x an th a s e e d lin g c o lo r (X0X0 ) , and g reen v e rs u s c h lo r in e s e e d lin g s (Fc f 0 ) . Leonard concluded t h a t th e f a c t o r p a i r L r l r was i n lin k a g e group I . Blue v e rs u s W hite A leurone C olor H a rla n (? ) re p o rte d t h a t c o lo rs in b a r le y a re caused b y two pigm ents; a n th o e y a n in and a m e la n in -lik e compound. The an th o o y an in i s v i o l e t i n i t s a c id c o n d itio n and b lu e i n i t s a lk a l in e c o n d itio n , and th e m e la n in -lik e compound i s b la c k . These pigm ents may o c c u r in th e p e r i c a r p , h u l l s , a le u ro n e l a y e r , and o c c a s io n a lly in th e endosperm . The p re se n c e o f a n th o o y an in i n th e p e r ic a r p g iv e s a v i o l e t c o lo r ; i n th e a le u r o n e , b lu e c o lo r ; and i f p r e s e n t i n b o th th e p e r ic a r p and a le u r o n e , a p u rp le c o lo r re s u lts . I n th e absence o f th e pigm ent i n b o th th e p e r ic a r p and a le u ro n e I •12- th e k e r n e l i s ig h ite . The r e s u l t s o f two d i f f e r e n t s tu d ie s o f t h e ae;v,e n a t e r i e l were p u b lis h e d j o i n t l y by ItLytizam., and So and I m i (1 3 ) . The e a r l i e r s tu d y was made by Miyazavra., who concluded t h a t th e b lu e c o lo r was in h e r ite d a s a m osaic i n a c ro s s o f S o ld .to ri, a Jap an ese b lu e v a r i e t y , tim e s GoldenmeIo n , an A u s tr a lia n v a r i e t y w ith p a le y e llo w k e r n e l s . o f b lu e k e rn e ls to w h ite on in d iv id u a l He o b serv ed v a ry in g r a t i o s heads b u t when he co u n ted th e k e r n e ls on a l l heads he found 1009 b lu e and 1019 p a le y e llo w , a p p ro x im a te ly a I i l ra tio . So and Im ai s tu d ie d Miyazawa*s m a te r ia l and concluded t h a t th e c o lo r was n o t a m osaic b u t an endosperm c h a r a c te r c a r r ie d i n th e a le u ro n e l a y e r . From t h e i r c l a s s i f i c a t i o n o f t h e Fg p o p u la tio n th e y ob­ ta in e d a 3 :1 r a t i o f o r b lu e to w h ite k e r n e l s . They co ncluded t h a t th e c h a r a c te r showed x e n ia and vras in h e r ite d a s a s i n g l e - f a c t o r d if f e r e n c e . S im ila r r e s u l t s were re p o rte d b y B uckley ( 2 ) , who d id n o t l i s t th e c ro s s e s s tu d ie d , and by R o b e rtso n , Doming, and Koonce ( 1 7 ) , who s tu d ie d a c ro s s o f C o lse ss IV x M n n e s o ta 7 2 -8 . B uckley found a le u ro n e c o lo r to be in d ep en d e n t o f b la c k v e rs u s w h ite g lum es, two row v e rs u s s i x row , lo n g v e rs u s s h o r t r a c h i l l a h a i r s , h u lle d v e rs u s naked c a r y o p s is , and p ro b ab ly in d ep en d e n t o f s t r a i g h t v e rs u s curved p e d u n cle and p u rp le v e rs u s w h ite lemma. He found a le u ro n e c o lo r lin k e d w ith hooded v e rsu s awned w ith 41 p e rc e n t c r o s s in g o v e r and p la ce d th e f a c t o r p a i r f o r b lu e v e rsu s w h ite i n lin k a g e group I I I . R o b ertso n , Doming, and Koonce a ls o found a le u ro n e c o lo r t o b e i n h e r ite d in d e p e n d e n tly o f long v e rs u s s h o r t r a c h i l l a h a i r s and lin k e d w ith hooded v e rs u s awned. c r o s s in g o v e r . They found 22.58± 0 .8 2 p e rc e n t - 13- Ify le r and S ta n fo rd (15) found a s i n g l e - f a c t o r d if f e r e n c e f o r b lu e v e rs u s w h ite a le u ro n e i n c ro s s e s o f Kwan (b lu e ) x N epal (w h ite ), A lg e ria n ( b lu e ) x N ep al, and Awnless ( b lu e ) x N ep al, b u t th e y found t h a t th e c o lo r was a c t u a l l y dependent on tiro com plem entary f a c t o r s . I n a c ro s s o f two w h ite v a r i e t i e s , G o ld fo il x N ep al, th e y o b serv ed a 9*7 r a t i o f o r b lu e t o w h ite i n th e Fg g e n e r a tio n . They co ncluded t h a t i n c ro s s e s where o n ly a s i n g l e - f a c t o r d if f e r e n c e i s observed th e b lu e p a re n t has t h e f a c to r s B lB lB ljB l^ and t h a t th e w h ite p a re n t has e i t h e r B lB lb ljb ]^ o r b lb lB l^ B l^ • The f a c t o r p a i r B lb l was found to be lin k e d w ith hooded v e rs u s awned w ith 2 4.72 ± 1 .7 3 p e rc e n t c r o s s in g o v e r . M yler and S ta n fo rd co ncluded t h a t t h i s was th e san e f a c t o r s tu d ie d by B uckley (2) and R o b ertso n , Doming, and Koonce (1 7 ), and t h a t i t vjas lo c a te d i n lin k a g e group IV . The f a c t o r p a i r B ljb l^ was found to b e lin k e d w ith h u lle d v e rs u s naked (Nn) w ith 9 .8 8 ± 0 .4 4 p e r­ c e n t c r o s s in g o v e r and was p la ce d in lin k a g e group I I I . S p rin g v e rs u s W in te r H a b it o f Growth G aines (5 ) o bserved w in te r h a b it p la n ts i n th e s e g re g a tin g g enera­ t io n s o f two c r o s s e s . R ice x B e a rd le ss and R ice x E x c e ls i o r , a l l s p rin g v a rie tie s . He o b serv ed a r a t i o o f 13 s p r in g to 3 w in te r p la n ts i n th e Fg g e n e r a tio n and concluded t h a t two f a c t o r s , one an i n h i b i t o r , c o n tr o lle d h a b i t o f g ro w th . The o c c u rre n c e o f w in te r h a b it s e g re g a te s in th e progeny o f a c ro s s o f two s p rin g v a r i e t i e s was a ls o r e p o rte d b y N eatby (1 6 ) . He concluded t h a t th r e e f a c t o r p a ir s c o n tr o lle d grow th h a b it i n Guy Mayle x Canadian Thorpe and t h a t i n th e w in te r - h a b it s e g re g a te s a l l th r e e f a c t o r p a ir s - 14 - •were homotygous r e c e s s i v e . Lax v e rs u s Dense S p ik es B iffe n ( l ) o b serv ed a s i n g l e - f a c t o r d if f e r e n c e f o r d e n s it y o f sp ik e w ith la x dom inant o v e r d en se i n th r e e c ro s s e s s tu d ie d . Similar r e s u l t s •were re p o rte d by Sturm (1 9 ) , who found t h a t la x v e rsu s dense was i n h e r i t ­ ed in d e p e n d e n tly o f rough v e rs u s smooth awns (E r) and was lin k e d w ith lo n g v e rs u s s h o r t awns (L kglk^) w ith a p p ro x im a te ly 23 p e rc e n t c ro s s in g o v e r. In two d i f f e r e n t c r o s s e s , Miyake and Im ai (12) observ ed a s i n g l e - f a c t o r d if f e r e n c e f o r le x v e rs u s dense s p ik e s . I n one c ro s s th e d e n s ity f a c t o r (I q I j ) was lin k e d w ith covered v e rs u s naked seed w ith 13 p e rc e n t c ro s s in g o v e r , and i n th e o th e r c ro s s th e d e n s it y f a c t o r (L glg) was lin k e d w ith co vered v e rs u s naked w ith 23 p e rc e n t c ro s s in g o v e r . N eatby (1 6 ) re p o rte d t h a t a s in g le f a c t o r p a i r w ith m inor m odifying f a c t o r s c o n tr o lle d d e n s ity i n a c ro s s o f Guy Mayle x Canadian T horpe. Spike d e n s ity was in h e r ite d in d e p e n d e n tly o f e a r l i n e s s i n t h i s c r o s s , b u t b o th d e n s it y and e a r l i n e s s were lin k e d w ith l a t e r a l f l o r e t f e r t i l i t y . A tw o - f a c to r d if f e r e n c e f o r d e n s ity was re p o rte d b y W oxelsen (2 1 ) . He d e s ig n a te d th e f a c t o r p a ir s L j l 1 and L glg and found t h a t th e f a c t o r p a i r Lglg was lin k e d w ith rough v e rs u s smooth awn (E r) w ith 10 p e rc e n t c ro s s in g o v e r . In a l a t e r p a p e r, Vfexelsen (22) re p o rte d s i n g l e - f a c t o r and tw o - f a c to r d if f e r e n c e s i n some c r o s s e s s tu d i e d . One o f th e f a c to r p a ir s f o r d e n s ity (L ^ l^ ) i n Aspltmd x Smooth awn, C. I . 4 1 5 2 , was lin k e d w ith th e f a c t o r f o r f e r t i l i t y (Z s) w ith 40 p e rc e n t c r o s s in g o v e r. Von D bisch (20) coneludod t h a t th r e e f a c t o r p a ir s c o n tr o lle d d e n s ity in. c ro s s e s t h a t he s tu d ie d • He found th e la x c o n d itio n dom inant o v er d e n s e , w ith th e le n g th o f s p ik e d i r e c t l y p r o p o r tio n a l to th e number o f dom inant f a c t o r s p r e s e n t . D e n sity was found to be c l o s e l y a s s o c ia te d w ith awn le n g th . In s tu d ie s by Hayes and H arlan (8 ) s i n g l e - f a c t o r d if f e r e n c e s were o b serv ed w ith com plete dominance o f dense o v e r la x i n some c a se s and in ­ com plete dominance i n o t h e r s . th r e e -fa c to r d iffe re n c e . I n o th e r c ro s s e s s tu d ie d , th e y observed a Minor m odifying f a c t o r s w ere p r e s e n t i n some c ro sse s. Linkage Groups i n B arley Seven lin k a g e groups have been e s ta b lis h e d f o r c u l t i v a t e d b a r le y . The l i t e r a t u r e f o r t h e s e groups has been review ed by R o b e rtso n , Wiobe, and Im io r (1 8 ) , and f a c t o r p a ir s p re v io u s ly re p o rte d were lo c a te d in lin k a g e groups w henever p o s s i b l e . The c h a r a c te r p a ir s in c lu d e d i n t h i s s tu d y and th e lin k a g e groups i n w hich th e y were p laced a r e g iv en below : Linkage Groups I III IV C h a ra c te r P a ir Long v e rsu s s h o r t awns Normal v e rs u s reduced la te r a l s p ik e le t appendages Dense v e rs u s la x s p ik e s Dense v e rs u s la x s p ik e s Symbol L klk L rlr LI L414 Dense v e rs u s la x s p ik e s Dense v e rs u s la x s p ik e s Dense v e rsu s la x sp ik es Dense v e rs u s la x s p ik e s Long v e rs u s s h o r t awns LI l L1I V a L2I 2 Lklk Dense v e rs u s la x s p ik e s Blue v e rs u s w h ite a le u ro n e LI B lb l - 16 - MATERIALS Aim METHODS D e s c r ip tio n o f P a re n ts and C h a ra c te rs S tu d ie d The th r e e v a r i e t i e s u sed a s p a re n ts i n th e c ro s s e s s tu d ie d ware A rlin g to n A w nless, C. ! • 702, A tra d a , Ce I * 6641, and A tra d a , Ce I e 5638. A d e s c r ip ti o n o f th e s e v a r i e t i e s f o llo w s . A rlin g to n Aemless i s c h a r a c te r iz e d by a decumbent ty p e o f growth i n th e s e e d lin g s t a g e , b lu e a le u r o n e , la x s p ik e s , o c c a s io n a l awn p o in ts on u s u a ll y a im le s s l a t e r a l s p i k e l e t s , and s h o r t awns on th e c e n t r a l s p i k e l e t s . The modal c l a s s f o r le n g th o f c e n t r a l awns i s 3 5 .0 mm. t o 3 9 ,9 mm. A tra d a , C. I . 5641, h as an e r e c t ty p e o f grow th i n t h e s e e d lin g s t a g e , b lu e a le u r o n e , la x s p ik e s , and s h o r t c e n t r a l and l a t e r a l aw ns. The modal c la s s f o r le n g th o f c e n t r a l awns i s 5 0 .0 mm. to 54 .9 mm., and f o r le n g th o f l a t e r a l awns i s 3 0 .0 m , t o 3 4 .9 m i. A tra d a , C. I . 5638, has an e r e c t ty p e o f growth i n th e s e e d lin g s t a g e , w h ite 'a le u r o n e , dense s p ik e s , and s h o r t c e n t r a l and l a t e r a l aw ns. The mo d a l c l a s s f o r le n g th o f c e n t r a l awns i s 5 0 .0 ram. to 5 4 .9 mm., and fo r th e le n g th o f l a t e r a l awns i s 3 0 .0 ram. to 3 4 .9 ram. The decumbent Iype o f grow th made i n th e s e e d lin g s ta g e b y th e A rlin g to n Awnless v a r i e t y i s s im ila r to t h a t produced b y most w in te r v a rie tie s of c e re a l c ro p s. The e r e c t ty p e o f grow th a s o b serv ed i n th e A tra d a v a r i e t i e s i s s im ila r to th e ty p e o b serv ed i n s p r in g c e r e a l c ro p s . A lthough i t i s n o t known w h e th e r th e ty p e o f grow th i n th e s e e d lin g s ta g e i s e n t i r e l y a s s o c ia te d w ith s p r in g and w in te r h a b i t , f o r th e purpose o f t h i s s tu d y i t w i l l b e assumed t h a t such i s th e c a s e . T h e re fo re , th ro u g h o u t t h i s p a p er e r e c t v e rs u s decumbent h a b it o f grow th w i l l be r e f e r r e d t o a s •17 . s p r in g v e rsu s w in te r h a b i t . A rlin g to n Awnless was c ro s se d w ith each o f th e A tra d a v a r i e t i e s i n 1939 a t th e Montana A g r ic u ltu r a l E xperim ent S t a t i o n , Bozeman, M ontana. The c o n tr a s ti n g c h a r a c te r s s tu d ie d i n each c ro s s a re l i s t e d below : A rlin g to n Awnless x A tra d a , C. I . 6641 Long v e rs u s s h o r t awns Normal v e rs u s reduced l a t e r a l awns S p rin g v e rs u s w in te r h a b it A rlin g to n Awnless x A tra d a , C. I . 5638 Long v e rs u s s h o r t awns Normal v e rs u s red u ced l a t e r a l awns Blue v e rs u s w h ite a le u ro n e S p rin g v e rs u s w in te r h a b i t Lax v e rs u s dense s p ik e s Method o f Growing th e F i l i a l G en eratio n s The g e n e r a tio n was grown d u rin g th e w in te r o f 1939-40 i n th e greenhouse i n W ashington, D. C ., by D r. G. A. Wiebe o f th e D iv is io n o f C erea l Crops and D is e a s e s . The Fg and Fg g e n e ra tio n s w ere grown a t th e Montana A g r ic u ltu r a l Experim ent S ta tio n as a p a r t o f t h e b a r le y improve­ ment program . The Fg g e n e ra tio n was seeded i n 1940 i n space p la n te d rows w ith th e seed spaced t h r e e in c h e s a p a r t to a llo w f o r p la n t s e p a r a tio n . The decumbent p la n ts were marked i n th e f i e l d d u rin g th e t h i r d week fo llo w ­ in g em ergence. The p la n ts were p u lle d j u s t b e fo re rip e n in g to be s to re d 18i n th e la b o r a to r y f o r c l a s s i f i c a t i o n o f o th e r c h a r a c t e r s . The e r e c t and decumbent p la n ts wore k e p t s e p a ra te when p u lle d * The P3 g e n e r a tio n was grown i n 1941 j i t -fjos re p e a te d i n 1942 be­ cause th e f a m ilie s grown i n 1941 were so b a d ly w eathered t h a t c o lo r eo u ld n o t be d e te rm in e d . The 1941 p la n tin g was made w ith see d from a random sample o f heads from each ?2 p l a n t . The seed p la n te d i n 1942 was from th e Pg heads n o t used f o r s e e d in g i n 1941. The seed from each Pg p la n t was sp ace p la n te d i n an e ig h te e n - f o o t row w hich gave an F3 fa m ily . The F3 f a m ilie s were p u lle d j u s t b e fo re r ip e n in g and were s to r e d f o r c la s s ific a tio n . The Fg and F3 g e n e ra tio n s w ere seeded i n th e s p r in g . Both s p rin g and w in te r s e g re g a te s headed and m atured when seeded i n th e s p r in g . Methods o f C l a s s i f i c a t i o n The F|. p la n ts o f each c ro s s were c l a s s i f i e d f o r th o c h a r a c te r s b e in g s tu d ie d . A d e s c r ip ti o n o f t h e F^ ty p e i n each c ro s s f o llo w s : A rlin g to n Awnless x A tra d a , C. I . 5641 C e n tra l s p i k e l e t s a p p ro x im a te ly tw o - th ir d s f u l l y owned L a te r a l s p i k e l e t s b e a r in g awns a p p ro x im a te ly o n e -h a lf as lo n g as th e c e n t r a l awns A leurone b lu e P la n ts e r e c t i n th e s e e d lin g s ta g e S pikes la x * A rlin g to n Awnless x A tra d a , C. I . 5638 C e n tra l s p i k e l e t s a p p ro x im a te ly tw o -th ird s f u l l y awned 19 L a te r a l s p i k e l e t s b e a rin g awns a p p ro x im a te ly o n e -h a lf as lo n g a s t h e c e n t r a l awns B lue and w h ite a le u ro n e on th e sane s p ik e s , b lu e predom inat­ in g P la n ts e r e c t i n th e s e e d lin g s ta g e S p ik es la x A p re lim in a ry c l a s s i f i c a t i o n o f th e Fg g e n e ra tio n p la n ts was made on th e b a s is o f t h e i r p h e n o ty p es; t h i s c l a s s i f i c a t i o n was c o rre c te d and th e Fg genotypes were determ ined by ch eck in g t h e b re e d in g b e h a v io r o f each Fg p la n t in th e F3 g e n e r a tio n . C l a s s i f i c a t i o n f o r grow th h a b it was made in th e f i e l d on th e b a s is o f ty p e o f grow th e x h ib ite d by th e p la n ts d u rin g th e second o r t h i r d week fo llo w in g em ergence. I t was c o n sid e re d t h a t th e s e g re g a te s making an e r e c t ty p e o f grow th were s p rin g h a b it p l a n t s , and th e s e g re g a te s t h a t made a decumbent ty p e o f grow th were w in te r h a b it p l a n t s . C l a s s i f i c a t i o n f o r aw nedness, a le u ro n e c o lo r , and d e n s ity o f sp ik e was made i n th e la b o r a to r y . I n o rd e r t o e s t a b l i s h p h e n o ty p ic awn c la s s e s i t was n e c e s s a ry to s tu d y v a r i a t i o n i n awn le n g th . I t was e v id e n t t h a t such a s tu d y was n e c e s s a ry from v a r i a t i o n s observ ed i n th e F% g e n e ra tio n and from observed v a r i a t i o n s w ith in th e A rlin g to n Awnless v a r i e t y . Ten p la n ts o f th e A rlin g to n Awnless p a r e n ta l v a r i e t y were s e le c te d a t random from a group o f s e v e n ty grown i n a space p la n te d row i n 1941. were ta k e n from each p la n t f o r awn m easurem ent. Ten heads The f o u r t h s p i k e l e t from th e b a s e o f th e h e a d , c o u n tin g s p i k e l e t s on o n ly one s id e o f th e r a o h is , was a r b i t r a r i l y chosen as th e one on w hich to measure th e c e n t r a l awn. —20— The nean le n g th o f c e n t r a l avcia on each p la n t and th e s ta n d a rd e r r o r o f each Iaeem m s d e te rm in e d . F i s h e r ’s a n a ly s is o f v a ria n c e method and th e F and t t e s t s were used t o d e term in e w h eth er o r n o t d if f e r e n c e s betw een th e means w ere s i g n i f i c a n t . The le n g th o f th e lo n g e s t l a t e r a l awn p o in t i n th e c e n tr a l p o r tio n o f each head was re c o rd e d i n o rd e r t o d eterm in e th e fre q u e n c y o f o c c u rre n c e . On th e b a s i s o f in fo rm a tio n o b ta in e d re g a rd in g v a r i a b i l i t y o f awn le n g th and fre q u e n c y o f o c c u rre n c e o f awn p o in ts and on th e b a s i s o f th e Fg and Fg s e g r e g a tio n , th e s e g re g a te s w ere d iv id e d in to s i x p h en o ty p ic awn c la s s e s as d e s c rib e d below : D e s c rip tio n L a te r a l Awns C e n tra l Awns I Awnless None None o r p o in ts 2 A rlin g to n Awnless ty p e None o r p o in ts Modal c la s s f o r le n g th 5 5 .0 nm. -3 9 .9 mm. S Reduced A tra d a ty p e Modal c la s s f o r le n g th 5 .0 mm.9 .9 mm. Modal c la s s f o r le n g th 2 5 .0 mm. -2 9 .9 mm. 4 A trad a ty p e Modal c l a s s f o r le n g th 3 0 .0 mm.3 4 .9 mm. Modal c la s s f o r le n g th 4 5 .0 mm. - 5 4 .9 mm. 5 f I ty p e — C e n tra l awns tw ic e a s long as l a t e r a l s Modal le n g th a p p ro x im a te ly 40 mm. Modal le n g th a p p ro x im a te ly 80 mm. 6 F u lly awned Modal le n g th a p p ro x im a te ly HO mm. Modal le n g th a p p ro x im a te ly 115 nm. C la ss No. Heads o f b a r le y r e p r e s e n ta tiv e o f th e s e awn c la s s e s a r e shown in p la te I I . - 21 - The s e g r e g a te s vmre grouped i n t o two p h en o ty p ic c la s s e s f o r a le u ro n e c o lo r* The homozygous b lu e and h e tero zy g o u s p la n ts w ere in c lu d e d i n th e b lu e c la s s and t h e homozygous w h ite p la n ts com prised th e w h ite c la s s * Two p h en o ty p ic c la s s e s f o r d e n s it y o f s p ik e were o b s e rv e d . The s e g r e g a te s were c l a s s i f i e d a s la x o r dense on a v is u a l b a s i s . Symbols f o r G en etic C h a ra c te rs A ll g e n e tic symbols e x c e p t th e one f o r s p rin g v e rs u s w in te r h a b it were ta k e n from th e l i s t o f symbols recommended by R o b e rtso n , W iebe, and Immer ( 1 8 ) . The s u b s c r ip t numbers used i n m ost c ase s in d ic a te t h a t th e s e f a c t o r p a ir s a re n o t n e c e s s a r ily th e same ones re p o rte d b y p re v io u s w o rk e rs. The f a c t o r p a i r s f o r awn le n g th and la x v e rs u s dense s p ik e s i n th e c ro s s A rlin g to n Awnless x A tra d a , C. I . 5638, were found to be th e same ones r e ­ p o rte d by Sturm (19) and were a ss ig n e d th e same s u b s c r ip t numbers used by him* The g e n e tic symbols used a re l i s t e d below : C h a ra c te r P a i r : Symbols Used: Long v e rs u s s h o r t awns Normal v e rs u s re d u c ed l a t e r a l awns Blue v e rs u s w h ite a le u ro n e c o lo r S p rin g v e rs u s w in te r h a b it Lax v e rs u s dense s p ik e s ^4 , Lk5I k 5 Lr1I r 1 B lg b l2 Be l S1S A n a ly sis o f D ata A ll p h en o ty p ic r a t i o s o bserved i n t h e Pg g e n e ra tio n and a l l geno­ ty p ic r a t i o s a s determ ined by th e Fg s e g r e g a tio n were compared to c a l­ c u la te d t h e o r e t i c a l r a t i o s . The o b serv ed r a t i o i n each c ase was te s t e d f o r goodness o f f i t t o th e c a lc u la te d r a t i o b y use o f th e C h i-sq u are t e s t . - 22- A ll P v a lu e s w ere ta k e n fro m th e t a b l e o f C h i-sq u a re p re p a re d b y F is h e r (4 ) . To t e s t f o r lin k a g e betw een th e v a rio u s c h a r a c te r s s tu d ie d , th e o b serv ed g e n o ty p ic r a t i o f o r each c h a r a c te r was combined i n a d ih y b rid r a t i o w ith th e o b serv ed g e n o ty p ic r a t i o f o r e v e ry o th e r c h a r a c te r s tu d i e d . Each o f th e s e d ih y b rid r a t i o s was compared w ith a c a lc u la te d It2 i2 i4 * l* 2 * 1*2:1 r a t i o by u se o f th e C h i-sq u are t e s t . Iihen th e o b serv ed r a t i o f i t th e c a lc u la te d r a t i o c l o s e l y , th e f a c t o r p a ir s b ein g t e s t e d w ere c o n s id e r­ ed in d ep en d en t o f each o t h e r . I f a poor f i t t o th e c a lc u la te d r a t i o was o b ta in e d , th e f a c t o r p a ir s were assumed t o be lin k e d . C ro sso v er v a lu e s were determ ined by th e p ro d u c t m ethod. c a l c u l a t i o n , th e ta b le s p re p a re d by limner (10) were u s e d . To f a c i l i t a t e The observed r a t i o was compared w ith t h e r a t i o e x p ec te d w ith th e c a lc u la te d p e rc e n t­ age o f G ro s s in g o v e r by u se o f t h e C h i-sq u a re t e s t f o r goodness o f f i t . KIPERIMEHTAL RESULTS V a r ia tio n i n Avm Length V a r ia tio n i n awn le n g th was s tu d ie d a s a p re lim in a ry s te p in e s t a b l i s h i n g p h en o ty p ic awn c l a s s e s . The d a ta o b ta in e d on th e p la n ts s e le c te d f o r s tu d y from th e A rlin g to n Awnless p a re n t a p p ea r i n ta b le I , Some o f th e d if f e r e n c e s betw een mean le n g th s o f c e n t r a l awns were found to be s i g n i f i c a n t , in d ic a tin g t h a t en v iro n m e n ta l f a c t o r s d e f i n i t e l y a f f e c t ­ ed awn dev elo p m en t, Awn p o in ts on l a t e r a l s p ik e le ts were o b serv ed on as many a s s i x o f t h e te n heads ta k e n from some o f th e p l a n t s , T o leran ce w ith in awn c la s s e s i s b ased on th e r e s u l t s o f t h i s s tu d y . I n h e r ita n c e o f Awnednesa S in c e i t was n e c e s s a ry to summarise th e r e s u l t s o b ta in e d i n b o th c ro s s e s b e fo re th e node o f in h e r ita n c e c o u ld b e e x p la in e d s a t i s f a c t o r i l y , th e r e s u l t s o b ta in e d w ith b o th c ro s s e s w i l l be p re s e n te d f i r s t and w ill b e fo llo w e d by an e x p la n a tio n o f th e mode o f i n h e r i t a n c e , A rlin g to n Awnless x A tra d a , C, I , 5641. - The progeny o f t h i s c ro s s had lo n g e r awns th a n e i t h e r p a r e n t, in d ic a tin g t h a t each p a re n t c a r r ie d dom inant o r p a r t i a l l y dom inant genes f o r th e developm ent o f awns n o t c a r r ie d b y th e o th e r. The c e n t r a l awns were a p p ro x im a te ly tw o -th ird s f u l l y owned, and th e l a t e r a l awns w ere a p p ro x im a te ly o n e - h a lf as long a s th e c e n t r a l awns ( P la te I ) , T ra n s g re s s iv e s e g r e g a tio n f o r awnedness was ob serv ed i n th e Fg g e n e r a tio n , th e s e g re g a te s ra n g in g from aw nless to f u l l y owned (P la te I I ) , The o b serv ed and c a lc u la te d Fg p h en o ty p ic r a t i o s a r e g iv en i n t a b l e I I , 24 T able I ¥ la n t number I 2 3 4 5 6 7 8 9 10 M easurem nta re c o rd e d and th e a n a ly s is o f v a ria n c e c a lc u la te d on c e n t r a l a m le n g th s as a p a r t o f th e s tu d y o f v a r i a t i o n i n a m le n g th w ith in th e A rlin g to n A m le s s v a r i e t y 2 I 0 0 7 0 5 5 0 20 5 0 3 Length o f 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 15 0 0 10 15 Head number 5 6 I T~ 8 S 10 l a t e r a l awn p o in ts i n m illim e te rs 15 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 5 7 10 0 0 0 0 5 0 0 0 5 0 0 10 5 15 7 0 0 0 7 0 0 5 7 10 0 15 15 8 7 0 0 6 0 0 12 0 10 5 0 5 0 0 16 12 0 0 5 7 0 Mean S .E . Length o f c e n t r a l a m s i n m illim e te rs I 2 3 4 5 6 7 8 9 10 25 40 45 25 30 25 35 50 46 50 45 25 25 35 20 45 25 65 50 45 30 25 25 35 40 20 45 45 40 55 40 35 30 50 45 25 40 50 35 35 45 50 40 20 40 25 50 30 25 55 40 25 40 so 60 15 50 35 20 45 7 40 35 25 30 20 40 25 25 35 35 36 50 25 35 40 40 35 25 56 15 25 40 25 40 30 50 50 30 45 20 40 40 6 35 35 40 35 10 40 30.2+ 4.15 3 2 .0 * 2 .1 3 3 7 .0 * 2 .6 0 2 7 .5*3.67 3 7 .5 * 3 .3 5 2 8 .0 * 3 .0 0 4 1 .5 * 2 .4 8 4 2 .0 * 5 .0 6 30 e5±3 #83 4 6 .0 * 2 .4 5 A n a ly sis o f v a ria n c e on le n g th o f c e n t r a l a m s V a r ia tio n due t o t P la n ts Heads In te ra c tio n T o ta l Sum o f sq u ares 9 9 81 99 3759.56 1052.56 8317.04 13129.16 Mean sq u are 417.73 116.95 102.68 V ariance F 4.07** 1 .1 4 10.13 **F v a lu e s i g n i f i c a n t a t th e 1% p o in t S eE eX ■ 3 .3 8 ®e® * d iffe “ 4 .7 7 L ev el o f S ig n ific a n c e (S?£) * 9.3 5 t - 1.95996 25 The c a lc u la te d 3 * 6 tl:2 :3 $ l r a t i o f o r th e awn ty p e s 6 , 5 , 4 , 3 , 2 , and I i s th e r a t i o e x p ec te d w ith awnedness in h e r i t e d a s a tw o - f a c to r d if f e r e n c e w ith com plete dominance i n one f a c t o r p a i r and in co m p lete dominance i n th e o t h e r . When th e o bserved and c a lc u la te d r a t i o s wore co mpared, a P v a lu e o f 0 .6 6 was o b ta in e d in d ic a tin g t h a t th e o b serv ed r a t i o f i t th e c a lc u la te d r a t i o c l o s e l y . T ab le I I Item Observed and c a lc u la te d Pg p h en o ty p ic r a t i o s f o r awn ty p e s i n A rlin g to n Awnless x A tra d a , C. I . 5641 F u lly awned (6) Observed co u n ts 19 C a lc u la te d 3 :6 * 1 ;2 ;3 ;1 1 8.19 ra tio Number o r in d ic a te d A tiada Beduoed F1 ty p e ty p e A trad a ty p e (3) (5) (4) phenotype A rlin g to n Awnless ty p e (2 ) Awnless (I) T o ta ls 42 6 13 15 3 97 36.38 6 .0 6 12.12 18.19 6.0 6 97.00 X2 3.258 P 0 .6 6 The o b serv ed Fg g e n o ty p ic r a t i o a s d eterm in ed by th e Fg s e g re g a tio n and th e c a lc u la te d g e n o ty p ic r a t i o a r e g iv e n i n t a b l e I I I . The c a l c u l a t ­ ed I i 2 i 2 t 4 s l s 2 i l s 2 i l g e n o ty p ic r a t i o f o r awnedness i s th e r a t i o ex p ected w ith in h e r ita n c e on a tw o - f a c to r b a s i s w ith in d ep en d en t a s s o rtm e n t o f th e two f a c to r p a i r s . The observed r a t i o f i t th e c a lc u la te d r a t i o c lo s e ly , a P v a lu e o f 0 .7 1 b e in g o b ta in e d . 26T able I I I Observed and c a lc u la te d Fg g en o ty p ic r a t i o s f o r awnedness a s determ ined by th e Fg s e g r e g a tio n i n A rlin g to n Awnless x A tra d a , C. I . 5641 C a lc u la te d li2 t2 i4 ili2 tL i2 tl ra tio N um erical awn c la s s Observed c o u n ts L rjL r1Lk6Lk5 6 6 6.0625 Lr1L rl Lk6I k 5 6 13 12.1250 Lr1I r 1Lk6Lk6 5 11 12.1250 Lr1I r 1Lk6I k 6 5 31 24.2500 L r1Lr1Ik 6I k 6 4 5 6.0625 Lr1I r 1I k 5I k 5 3 13 12.1250 I r 1I r 1 Lk5Lk5 2 7 6.0625 I r 1I r 1Lk5I k 5 2 8 12.1250 I r 1I r 1I k 5Ik 5 I 3 6.0625 97 97.0000 Genotypes T o ta ls A rlin g to n Avmlsss x A tra d a , C. I . 5638 . - X2 p v a lu e 5.392 0.71 The F1 progeny o f t h i s c ro s s had lo n g e r awns th a n e i t h e r p a re n t in d ic a tin g t h a t i n t h i s c ro s s a ls o each p a re n t c a r r ie d dom inant o r p a r t i a l l y dom inant genes f o r th e developm ent o f awns n o t c a r r ie d by th e o t h e r . The c e n t r a l s p ik e l e ts were a p p ro x im a te ly tw o - th ir d s f u l l y awned, and th e l a t e r a l awns were a p p ro x im a te ly o n e -h a lf a s long as th e c e n t r a l awns ( P la te I ) . The awn ty p e s o b serv ed i n th e Fg g e n e ra tio n were 2 , 3 , 4 , 5 , and 6 ( P la te I I ) • The o b serv ed and c a lc u la te d p h en o ty p ic r a t i o s a r e g iv en i n - t a b l e IVe 27 - When th e o b serv ed r a t i o was compared w ith a c a lc u la te d 5 t 6 t l : 2 i 4 r a t i o f o r th e aim ty p e s 6 , 5 , 4 , 3 , and 2 , a P v a lu e o f 0 .8 3 m s o b ta in e d , in d ic a tin g t h a t th e o b serv ed r a t i o f i t th e c a lc u la te d r a t i o c lo s e ly . The c a lc u la te d 3:6:1 * 2 * 4 r a t i o i s th e r a t i o e x p e c te d i f awned- neos i s i n h e r i t e d as a tw o - f a c to r d if f e r e n c e w ith com plete dominance in one f a c t o r p a i r and in co m p lete dominance i n th e o th e r w ith th e I r ^ and I r ^ l k 4 phenotypes i n d i s tin g u is h a b l e . T able IV Observed and c a lc u la te d Pg p h en o ty p ic r a t i o s f o r awnedn e s s i n A rlin g to n Awnless x A tra d a , C. I . 5638 Humber o f in d ic a te d phenotype P1 A trada Reduced A rlin g to n ty p e A trad a Awnless ty p e (2 ) T o ta ls ty p e (3 ) (5) (S T Item F u lly awned (6) Observed co u n ts 15 34 6 C a lc u la te d 3 :6 :1 :2 :4 ra tio 15.19 30.38 5.06 9 10.12 17 81 20.25 81.00 X2 1.484 P 0 .8 3 The Fg g e n o ty p ic r a t i o as d eterm in ed b y th e Pg s e g r e g a tio n and th e c a lc u la te d g e n o ty p ic r a t i o a re g iv en i n t a b l e V . The c a lc u la te d 1 ;2 * 2 :4 : 1 :2 :4 r a t i o f o r awnedness i s th e r a t i o e x p ec te d w ith awnedness in h e r ite d a s a tw o - f a c to r d if f e r e n c e w ith th e tiro f a c t o r p a ir s in d e p e n d e n tly a s s o r te d when th e I r 1Ir^L k 4Lk4 , I r 1I r 1Lk4 Ik 4 , and I r ^ l r 1 Ik4Ik 4 g enotypes can n o t be s a tis fa c to rily d iffe re n tia te d . When th e o b serv ed and c a lc u la te d r a t i o s w ere compared a P v a lu e o f 0 .6 2 was o b ta in e d . T his agreem ent betw een th e observed and t h e o r e t i c a l r a t i o s i n d i c a t e s t h a t th e assu m p tio n o f a tvrof a c t o r d if f e r e n c e f o r aw nedness i s p ro b a b ly c o r r e c t . - 28- T able V O bserved and c a lc u la te d Fg g e n o ty p ic r a t i o s f o r atm ednesa a s d eterm in ed by th e Fg s e g r e g a tio n in A rlin g to n Awnless x A tra d a , C. I . 5638 Awn c la s s Genotype L riL riL k jL k j L r iL r iL k jlk j L f jlr iL k jL k j L rilriL k jlk j L riL fjlk jlk j L f j l r j Ik ^ lk j IrjlfjL k jL k j IrilriL k jlk j l r i l r i Ik jlk j T o ta ls 6 6 6 5 4 3 2 2 2 Observed c o u n ts C a lc u la te d Ii2i2 :4 tl:2 :j ra tio 3 12 7 27 6 9 6.0625 10.1250 10.1250 20.2500 5.0625 10.1250 17 20.2500 81 81.0000 X2 5 .193 p v alu e 0 .52 An a tte m p t was made to s e p a r a te th e th r e e g e n o ty p es, Ir ilr iL k ^ L k j., I r i l r i L k j l k j * and 1*1 I r i I k j l k j , t h a t were grouped in to th e p h en o ty p ic awn c la s s 2 , The c e n t r a l awns o f f i f t e e n Fg fa m ilie s grown from Fg p la n ts in c lu d e d i n t h i s group were m easured. The le n g th s re c o rd e d wore grouped in to c la s s e s o f 1 0 .0 nan. and th e freq u e n cy d i s t r i b u t i o n o f each fa m ily was compared to th e d i s t r i b u t i o n o f awn le n g th s i n th e A rlin g to n Awnless p a re n t v a r i e t y . The freq u e n cy d i s t r i b u t i o n o f c e n tr a l awn le n g th s in th e s e Fg fa m ilie s and i n A rlin g to n Awnless a r e p re se n te d i n ta b l e VT• From th e s e d i s t r i b u t i o n s i t i s e v id e n t t h a t most o f th e s e f a m ilie s were d i f f e r e n t from A rlin g to n A w nless, b u t i t w ould be n e c e s s a ry to grow an a d d itio n a l g e n e r a tio n to d eterm in e w h eth er o r n o t th e genotypes co u ld be d is tin g u is h e d . - T able TI F am ily number 29- Frequency d i s t r i b u t i o n o f c e n t r a l aim le n g th s i n Fg f a m ilie s groim from f i f t e e n Fg p la n ts c l a s s i f i e d as h av in g th e A rlin g to n A im le ss, o r 2 , aim ty p e Length i n m illim e te r s 2 0 .0 -2 9 .9 3 0 .0 -3 9 .9 4 0 .0 -4 9 .9 0 .0 - 9 .9 1 0 .0 -1 9 .9 5 17 TT I 0 6 12 5 4 I 4 0 0 I 0 8 ? 24 "SG 15 TZ TZ 11 11 6 6 6 0 5 0 0 8 12 15 10 11 18 ZZ TZ — 7 9 2 4 0 0 6 2 7 10 7 13 8 6 10 To ZZ TZ -z 6 0 0 I 0 4 5 5 6 2 2 3 8 13 8 ZZ 0 I 0 0 I 0 0 0 0 0 0 I 7 I 6 0 I 0 5 2 2 57 7 8 14 72 73 Tl 4 9 5 28 2 75 3 74 A rlin g to n A im less 5 0 .0 —59 .9 The r e s u l t s in d ic a te t h a t i n each c ro s s awnednoss was in h e r ite d as a tw o - f a c to r d if f e r e n c e w ith com plete dominance i n one f a c t o r p a i r and in co m p lete dominance i n th e o t h e r . I n each p a re n t i n th e two c ro s s e s one o f th e f a c t o r p a i r s was in th e dom inant and th e o th e r i n th e r e c e s s iv e c o n d itio n . On th e b a s is o f s e g r e g a tio n o b s e rv e d , i t was concluded t h a t i n each c ro s s one f a c t o r p a ir a f f e c t e d l a t e r a l awn developm ent p rim a rily and th e o th e r f a c t o r p a i r a f f e c t e d awn le n g th o n ly . The f a c t o r p a i r f o r norm al v e rs u s reduced l a t e r a l awns was d e sig n a te d L r^ lr^ . S in ce th e A rlin g to n Awnless p a re n t had no l a t e r a l aw ns, i t was assumed t h a t i t c a r r ie d th e f a c to r p a i r f o r l a t e r a l awn developm ent i n th e r e c e s s iv e c o n d itio n ( I r - ^ lr ^ ) . - 30- A lthough th e aims o f th e two A tra d a p a re n ts a re s i m i l a r , th e se v a r­ i e t i e s c a r r y d i f f e r e n t dom inant f a c t o r s f o r aim le n g th ^ /. The f a c t o r f o r a m le n g th c a r r ie d i n th e r e c e s s iv e c o n d itio n i n A tra d a , C. I , 6638, m s r e p o r te d by Sturm (1 8 ), who d e sig n a te d i t Lk4Ik 4 . This v a r i e t y c a r r ie d one f a c t o r f o r aim le n g th i n th e dom inant c o n d itio n , w hich i s d e sig n a te d i n t h i s s tu d y . On th e b a s is o f th e s e f a c t s tmd on th e assum ption t h a t A rlin g to n A im less c a r r i e s Lr^ ty p e s o f th e A trad a p a re n ts would b e: th e r e c e s s iv e c o n d itio n , th e geno­ A tra d a , C. I . 5641, L r1Lr1Lk4Lk4 I k 5I k 5 , and A tra d a , C. I . 5638, L r iL r iI k 4 Ik 4Lk5Lk5 . S in ce th e r e s u l t s in d ic a te d a tw o - f a c to r d if f e r e n c e i n each c r o s s , th e genotype o f A rlin g to n Awnless m s assumed to be I r i l r i L k 4Lk4Lk5Lk5 . H y p o th e tic a l genotypes o f th e Fg g e n e ra tio n s e g re g a te s were b ased on th e s e p a r e n ta l g e n o ty p es. These Fg genotypes and th e s e g re g a tio n observ ed in th e F5 g e n e ra tio n a re g iv e n i n ta b l e V I I . The c lo s e n e s s o f f i t o f th e p h en o ty p ic and g e n o ty p ic r a t i o s observed i n th e two c ro s s e s to th e r a t i o s e x p ec te d on th e b a s is o f th e h y p o th e sis fo rm u la te d in d ic a te t h a t t h i s h y p o th e sis i s p ro b a b ly c o r r e c t . The p re se n c e o f th e dom inant awn le n g th f a c t o r Lk4Lk4 i n th e a im le ss s e g re g a te s from th e c ro s s A rlin g to n Awnless x A tra d a , C. I . 5641, can be s a t i s f a c t o r i l y e x p la in e d i f i t i s assumed t h a t t h i s f a c t o r p a i r (Lk4 ) i s d ependent on th e p re se n c e o f Lr1 i n th e dom inant c o n d itio n i n o rd e r to produce any e f f e c t . C o n v erse ly , th e absence o f any a im le ss s e g re g a te s i n 5 / U npublished d a ta on awn in h e r ita n c e s tu d ie s by S . C. L itz e n b e rg e r, Montema A g r ic u ltu r a l E xperim ent S t a t i o n , Bozeman, Montima. - Table V lI 31 - H y p o th e tic a l genotypes and ob serv ed b re e d in g b e h a v io r o f th e Fg g e n e r a tio n s e g re g a te s i n A rlin g to n Avmloss x A tra d a , C. I* 5641, and A rlin g to n Avmless x A tra d a , C. I . 5638 Grenotypic ra tio Fg genotype N um erical a m c la s s A rlin g to n Awnless x A tra d a , C. I . 5641 IriIriL kflIikgL ksL ks I 66 I L r1LriiLk4Lk^Lk5I k 5 2 2 L r1I r 1Lk^Lk^LkgLkg H ien o ty p ie S e g re g a tio n ObseiiV-' ed i n th e FJj gom ratim ra tio 3 5 — 6 4 Lr j l r ^Lk^Lk^Lkglkg 5 I Lr1L r1Lk4Lk4I k 5Ik 5 4 1 2 L r1I r 1Lk4Lk4I k 5I k 5 3 2 I I r 1I r 1I k 4Lk4LkgLkg 2 2 I r 1I r 1Lk4Ik4 Lk5I k 5 2 3 I r 1I r 1Lk4Lk4 Ik 5I k 5 I I A rlin g to n A m le s s x A tra d a , Ce I . 5638 6 Lr1L r1I k 4Lk4Lk5Lk5 I 1 True b re e d in g . 3 2 Lr1L r1Ik 4Ik 4LkgLk5 6 2 Lr1I r 1L k ^ k 4Lk5Lk5 5 4 L rl I r l Lk4 Ik 4Lk5Lk5 5 I L r1Lr1 Ik 4Ik 4Lk5I k 5 4 I 2 L r1I r 1Ik 4Ik 4Lk6Lk5 3 2 I r 1I r I^Ik4Ik 4Lk5I k 5 2 6 4 l r l l r l Lk4l k 4Lk5Lk5 l r I l r I l lc4Bc4Lk5Lk5 2 2 True b re e d in g . S e g re g a tin g f o r c la s s e s 4 and 6 . S e g re g a tin g f o r c la s s e s 2 ,5 and 6 . S e g re g a tin g f o r a l l c l a s s e s , I to 6 , True b re e d in g (A trad a ty p e ) S e g re g a tin g f o r c la s s e s 1 ,3 , and 4 . True b re e d in g (Arl i n g to n Avmless ty p e ) . S e g re g a tin g f o r c la s s e s I and 2 . True b re e d in g . 4 S e g re g a tin g f o r c la s s e s 4 and 6 . S e g re g a tin g f o r c la s s e s 2 ,5 , and 6 . S e g re g a tin g f o r c la s s e s 2 to 6 . True b re e d in g (A trada ty p e ). S e g re g a tin g f o r c la s s e s 2 ,3 , and 4 . True b re e d in g (A r lin g to n Avmless ty p e ) . A p p a re n tly t r u e b re e d ­ in g . True b re e d in g . - 32- th e progeny o f A rlin g to n Awnless x A tra d a , C. I . 5638, can be e x p la in e d by th e p re se n c e o f th e le n g th f a c t o r LkgLkg i n th e dom inant c o n d itio n i f t h i s f a c t o r i s assumed to be in d ep en d e n t o f Lr% i n i t s e x p re ssio n # P ro n in s p e c tio n o f th e genotypes l i s t e d i t can be see n t h a t norm al l a t e r a l awns was p a r t i a l l y dom inant o v e r re d u c ed s in c e th e s e g re g a te s c a r r y in g L r ^ lr^ i n th e h etero zy g o u s c n d i t i o n w ere le s s awned th a n th o s e c a r r y in g t h i s f a c t o r p a i r i n th e homozygous dom inant c o n d itio n . I t can a ls o be seen b y com paring th e s e g r e g a te s i n c la s s e s 2 , 5 , and 6 , which c a r r i e d l r ^ l r ^ , L r ^ lr ^ , and Lr^Lr^ r e s p e c tiv e ly t h a t t h i s f a c t o r p a i r a f f e c t e d le n g th o f c e n t r a l awns w ith lo n g awns p a r t i a l l y dom inant over s h o rt# The c e n t r a l awns i n c l a s s 2 were s h o r t , i n c la s s 5 , in te r m e d ia te , and i n c la s s 6 , lo n g . I n each o f th e f a c t o r p a ir s a f f e c t i n g awn le n g th o n ly (Lk^lk^ and L kblkg) lo n g "tmS a p p a r e n tly c o m p le te ly dom inant o v e r s h o r t . t h a t c a r r i e d th e le n g th f a c t o r (Lk*, o r Lkg) i n th e The s e g re g a te s homozygous dominant c o n d itio n c o u ld n o t be d is tin g u is h e d on a v i s u a l b a s is from th o s e t h a t were h etero zy g o u s f o r th e same f a c t o r p a ir# I n h e r ita n c e o f A leurone C olor i n A rlin g to n Awnless x A tra d a , C. I , 5638 S e g re g a tio n f o r b lu e and w hite a le u ro n e was o bserved on th e h e a d s, b u t no a tte m p t was made to an aly z e t h i s s e g r e g a tio n i n t h i s g e n e r a tio n . R a tio s were determ ined on th e p la n t b a s is i n th e Fg g e n e r a tio n and wore c o r r e c te d a f t e r c h ec k in g s e g r e g a tio n i n th e Fg g e n e r a tio n . O f th e 80 Fg p la n ts c l a s s i f i e d , 60 were c l a s s i f i e d a s b lu e and 20 as w h ite . The o b serv ed < -3 5 r a t i o f i t a c a lc u la te d 3 :1 r a t i o e x a c tly , in d ic a tin g a s i n g l e - f a c t o r d iffe re n c e e The b re e d in g b e h a v io r o f 77 o f th e F2 p la n ts m s o b serv ed i n th e F3 g e n e r a tio n . The o b serv ed and c a lc u la te d F2 g e n o ty p ic r a t i o s as de­ te rm in e d by th e F3 s e g r e g a tio n a re g iv en in t a b l e V I I I . A P v a lu e o f 0 .7 2 m s o b ta in e d , i n d ic a tin g t h a t th e o b serv ed r a t i o f i t th e c a lc u la te d 1 :2 :1 r a t i o c l o s e l y . T his c lo s e n e s s o f f i t to a monohybrid r a t i o in d ic a te s t h a t a le u ro n e c o lo r was in h e r ite d a s a s in g le —f a c t o r d i f f e r e n c e . T able VTII Observed and c a lc u la te d F2 g en o ty p ic r a t i o s f o r b lu e v e rs u s ■white a le u ro n e as d eterm in ed b y th e F3 s e g r e g a tio n o f A rlin g to n Awnless x A tra d a , C . I . 5638 Number o f in d ic a te d genotype ^ l 2B l2 B lgblg b lg b lg O bserved c o u n ts C a lc u la te d 1 :2 :1 ra tio T o ta ls 17 42 18 77 1 9 .25 38.50 19.25 77.00 X2 0.662 P 0 .72 I n h e r ita n c e o f Growth H a b it in A rlin g to n Awnless x A tro d a , C. I* 5641 The p la n ts o f th e F^ g e n e r a tio n made a n e r e c t ty p e o f g ro w th , in ­ d i c a t i n g t h a t s p r in g h a b it o f grow th was dom inant o v er w in te r . The F2 p h en o ty p ic and g e n o ty p ic r a t i o s a s d eterm in ed b y th e Fg s e g r e g a tio n a r e g iv en i n t a b l e s IX and X r e s p e c t i v e l y . The p h en o ty p ic r a t i o f i t a c a lc u la te d 3 :1 r a t i o c l o s e l y , a P v a lu e o f 0 .5 0 b e in g o b ta in e d . The g e n o ty p ic r a t i o f i t a c a lc u la te d 1 :2 :1 r a t i o c lo s e ly s in c e a P v alu e o f 0.61 was o b ta in e d -34 - I t Tsas concluded t h a t g r o w t h h a b i t was i n h e r i t e d a s a s i n g l e - f a c t o r d if f e r e n c e i n t h i s c r o s s . S p rin g h a b i t o f grow th was a p p a r e n tly com plete­ l y dom inant o v e r w in te r* T able H Observed Pg ph en o ty p ic r a t i o s f o r s p rin g v e rs u s w in te r grow th h a b it i n A rlin g to n Awnless x A tra d a , C. I* 5638, and i n A rlin g to n Awnless x A tra d a , C. I . 5641 Number o f in d ic a te d phenotype a / S p rin g W in te r t o t a l s Cross X2 P A rlin g to n Awnless x A tra d a , C. I* 5641 76 21 97 0 .5 0 1 0 .5 0 A rlin g to n Awnless x A tra d a , C. I* 5638 66 15 81 1 .8 1 5 0 .1 8 Compared w ith a c a lc u la te d 3 :1 r a t i o * I n h e r ita n c e o f Growth H a b it i n A rlin g to n Awnless x A tra d a , C* I . 6638 The p la n ts o f t h i s c ro s s a ls o made an e r e c t ty p e o f gro w th , in ­ d ic a t in g t h a t s p rin g h a b i t was dom inant o v e r w in te r . The o bserved and c a lc u la te d Fg p h e n o ty p ic r a t i o s a r e g iv en i n t a b l e IX* Of th e 81 Fg p la n ts c l a s s i f i e d , 66 were o f th e e r e c t ty p e and 15 w ere decumbent* A P v a lu e o f 0*18 was o b ta in e d when th e o b serv ed r a t i o was compared w ith a c a lc u la te d 3 :1 r a t i o . A lthough t h i s i s a r e l a t i v e l y poor f i t , th e s e g r e g a tio n o b serv ed i n th e Fg g e n e ra tio n in d ic a te d t h a t th e in h e r ita n c e o f grow th h a b i t was on a m ajo r s i n g l e - f a c t o r b a s i s • The o bserved and c a lc u la te d Fg g e n o ty p ic r a t i o s a s d eterm in ed by th e Fg s e g r e g a tio n a re g iv e n i n t a b l e X . Of th e p h e n o ty p ic a lI y s p rin g h a b i t p la n ts 29 b re d tr u e and 37 se g re g a te d f o r s p rin g and w in te r h a b i t . - 35- and tn e 16 w in te r h a b it p la n ts b re d t r u e . When t h i s o b serv ed r a t i o xvas compared w ith a c a lc u la te d 1 :2 :1 r a t i o , a P v a lu e o f 0 .0 7 was o b ta in e d . On th e b a s is o f th e b re e d in g b e h a v io r o f th e F2 p la n ts i t was concluded t h a t t h i s c h a r a c te r was in h e r ite d a s a s in g le - m a jo r - f a c to r d i f f e r e n c e . The p oor f i t t o a monohybrid r a t i o may have been caused by o th e r f a c to r s n o t d e te c te d i n t h i s s tu d y . A d d itio n a l work w ith t h i s c ro s s would be n e c e s s a ry to d e te rm in e w h eth er o r n o t t h i s i s t r u e . T ab le X Observed F2 g en o ty p ic r a t i o s f o r s p rin g v e rs u s w in te r grow th h a b i t as d eterm in ed b y th e F* s e g r e g a tio n i n A rlin g to n Awnless x A tra d a , C. I . 5638 and in A rlin g to n Awnless x A tra d a , C. I . 5641 Number o f in d ic a te d genotype a / S p rin g H eterozygous W in te r T o ta ls Item X2 P A rlin g to n Awnless x A trad a 5641 28 48 21 97 1.021 0 .6 1 A rlin g to n Awnless x A trad a 5638 29 37 15 81 5 .4 4 5 0 .0 7 a / Compared w ith a c a lc u la te d 1 :2 :1 r a t i o . I n h e r ita n c e o f D e n sity o f Spike i n A rlin g to n Awnless x A tra d a , C. I . 5638 The s p ik e s o f th e p la n ts were l a x , in d ic a tin g t h a t la x was dom inant o v e r d e n s e . The observed and c a lc u la te d F2 p h en o ty p ic r a t i o s a r e p re s e n te d i n t a b l e X I. Of th e 81 F2 p la n ts grown, 65 were c l a s s i f i e d as la x «nd 16 as d en se. When t h i s o bserved r a t i o was compared w ith a c a lc u la te d 3:1 - 36- r a t i o , a P v a lu e o f 0*30 i.as o b ta in e d , in d ic a tin g t h a t th e o b serv ed r a t i o f i t a monohybrid r a t i o f a i r l y w e ll. T able XI Observed and c a lc u la te d Fg p h en o ty p ic r a t i o s f o r la x v e rs u s dense s p ik e i n A rlin g to n A im less x A tra d a , C . I . 6638 Number oi1 in d ic a te d phenotype Item __________Lax_____ Dense______________T o ta ls ________ _____________P O bserved c o u n ts 65 C a lc u la te d 3 :1 r a t i o 6 0 .7 5 16 81 2 0 .2 5 81.00 1 .1 8 9 0 .3 0 The o b serv ed and c a lc u la te d Fg g e n o ty p ic r a t i o s a s d eterm in ed by th e Fg s e g r e g a tio n a r e p re s e n te d i n t a b l e X I I . When th e o b serv ed r a t i o o f 24 homozygous l a x , 41 h e te ro z y g o u s , and 16 homozygous dense was com­ p a re d w ith a c a lc u la te d 1 :2 :1 r a t i o , a P v a lu e o f 0 .4 6 was o b ta in e d . T able X II Item O bserved and c a lc u la te d Fg g en o ty p ic r a t i o s f o r la x v e rs u s dense s p ik e as d eterm in ed by th e Fg s e g re g a tio n i n A rlin g to n Awnless x A tra d a , C. I . 5638 Number o f in d ic a te d genotype la x H eterozygous Dense LgLs LglG ie ie T o ta ls O bserved co u n ts 24 41 16 81 C a lc u la te d 1 :2 :1 r a t i o 20.25 4 0 .50 20.25 81.00 X2 p 1.593 0.46 I t was concluded t h a t a s in g le f a c t o r p a i r c o n tr o lle d th e in h e r ita n c e o f sp ik e d e n s ity i n t h i s c ro s s and t h a t th e la x c o n d itio n was dominant o v er d e n se . - 37 - Linkage R e la tio n s h ip s i n A rlin g to n Awnlese x A tra d a , C. I . 5641 C h a ra c te rs i n h e r i t e d in d e p e n d e n tly . - The o b serv ed and c a lc u la te d g en o ty p ic r a t i o s f o r th e c h a r a c te r s in h e r i t e d in d e p e n d e n tly i n t h i s c ro s s a re given in ta b le X III. The c a lc u la te d d ih y b rid g e n o ty p ic r a t i o e x p ec te d w ith in ­ d ep en d en t a ss o rtm e n t i s 1 * 2 :2 :4 :1 :2 : 1 :2 :1 . The ob serv ed s e g r e g a tio n be­ tw een c h a r a c te r p a ir s was compared w ith t h i s t h e o r e t i c a l r a t i o . The th r e e c h a r a c te r s s tu d ie d i n t h i s c r o s s , norm al v e rs u s reduced l a t e r a l aw ns, lo n g v e rsu s s h o r t aw ns, and grow th h a b i t , were a l l in ­ h e r i t e d in d e p e n d e n tly o f each o t h e r . The r a t i o f o r norm al v e rs u s r e ­ duced l a t e r a l awns and lo n g v e rs u s s h o r t awns (L r^lr^ L k g lk g ) f i t th e c a lc u la te d r a t i o c l o s e l y , a P v a lu e o f 0 .7 1 b e in g o b ta in e d . When th e r a t i o f o r each o f th e s e c h a r a c te r s was combined i n a d ih y b rid r a t i o w ith s p rin g v e rs u s w in te r h a b i t , good f i t s to in d ep en d en t r a t i o s were o b ta in e d , th e P v a lu e i n b o th c a se s b e in g 0 .9 0 . Ho lin k a g e s were o b serv ed in t h i s c r o s s . Linkage R e la tio n s h ip s in A rlin g to n Awnless x A tra d a , C. I . 5658 No a tte m p t was made to d e term in e th e lin k a g e r e l a t i o n s h i p s o f s p rin g v e rs u s w in n er h a b it i n t h i s c r o s s . A lthough t h i s c h a r a c te r ap p eared t o be i n h e r i t e d a s a s in g le - m a jo r - f a c to r d i f f e r e n c e , th e o b serv ed r a t i o i n th e Fg g e n e r a tio n d id n o t f i t a monohybrid r a t i o c lo s e ly enough to j u s t i f y i t s use i n lin k a g e d e te r m in a tio n s . C h a ra c te rs i n h e r ite d in d e p e n d e n tly .- The o b serv ed and c a lc u la te d Pg g e n o ty p ic r a t i o s f o r th e c h a r a c te r s i n h e r ite d in d e p e n d e n tly i n t h i s c ro s s T able X III Observed and c a lc u la te d Pg g en o ty p ic r a t i o s f o r s p rin g v e rs u s w in te r h a b it o f growth and two f a c to r s f o r awnednoss as determ in ed by th e P3 s e g re g a tio n o f A rlin g to n Awnless x A tra d a , Ce I . 5641 Genotype s tu d ie d _______________ Number o f in d ic a te d genotype AaBb AAbb Aabb AABB AABb AaBB aaBB Observed counts L r1I r 1Lk5I k 5 L r1I r 1E e Lk5I k 5E e C a lc u la te d ra tio T able XIT 13 13 11 11 16 15 31 27 28 5 5 7 13 11 9 6 .0 6 12.13 12.13 24.24 6.06 12.13 6.0 6 7 6 7 8 8 9 12.13 aabb T o ta ls 3 6 6 97 97 97 6.06 97.00 X2 5.392 3.496 3.454 P 0.71 0 .9 0 0 .9 0 O bserved and c a lc u la te d Fg g en o ty p ic r a t i o s as d eterm in ed by th e Pg s e g re g a tio n f o r c h a r a c te r s i n h e r ite d in d e p e n d e n tly i n A rlin g to n Awnless x A tra d a , C# I e 5638 Genotype s tu d ie d Observed co u n ts Lr1I r 1Lk4Ik 4 l f I 1f I l 6 6 6 aaBb G 1G C a lc u la te d ra tio Observed counts Lf 11f 1b 12l 1 2 LglgB lgblg C a lc u la te d r a t i o Observed counts Lk4 Ik 4B lg b l2 C a lc u la te d r a t i o AABB AASb Number o f in d ic a te d genotype AaBB AaBb AAbb Aabb aaBB 1 a aaBb aabb T o ta ls — I 81 5.193 0.52 81 6.842 0.66 X2 P 3 12 7 27 6 9 — 17 5 12 11 21 4 11 8 8 5.06 10.13 10.13 20.24 5.06 10.13 5.06 10.13 6.06 81.00 6 3 4 .8 1 11 12 9.63 9 10 9.63 23 23 19.24 4 8 4 .8 1 9 2 6 4 9 .63 4 .8 1 8 7 9.63 5 4 4.81 77 77 77.00 3.430 6.612 0.90 0.58 8 10 5 16 4 6 2 8 5 64 7.375 0.5 0 4 8 8 16 4 8 4 8 4 64 - a r e g iv e n i n t a b l e XIV. 39 - A ll o f th e o b serv ed r a t i o s e x c e p t one vrore com­ p a re d w ith c a lc u la te d 1 i 2 i 2 i 4«1 i 2 i 1 i 2 i 1 g e n o ty p ic r a t i o s . Die observed r a t i o f o r norm al v e rs u s red u ced l a t e r a l awns and lo n g v e rs u s s h o r t awns (L r^ lr^ L k ^ lk ^ ) was compared w ith a c a lc u la te d I i 2 : 2 t 4 : l : 2 : 4 r a t i o , s in c e th e th r e e genotypes I r 1I r 1Lk4Lk4 , I r 1I r 1Lk4I k 4 , and I r 1I r 1Ik 4 Ik 4 co u ld n o t be d is tin g u is h e d . When th e observed and c a lc u la te d r a t i o s f o r th e genotype Lr1I r 1Lk4Ik4 were com pared, a P v a lu e o f 0 .5 2 was o b ta in e d , i n d ic a tin g t h a t th e s e two c h a r a c te r s w ere i n h e r i t e d in d e p e n d e n tly . Lax v e rs u s dense s p ik e s (L glg) and b lu e v e rs u s w h ite a le u ro n e (B lg b lg ) wore a ls o in h e r ite d in d ep en d en t­ l y o f norm al v e rs u s reduced l a t e r a l aw ns. The P v a lu e s o b ta in e d f o r th e s e com parisons were 0 .5 6 f o r L r1I r 1Lglg and 0 .9 0 f o r L r1I r 1B lg b lg . The o bserved r a t i o f o r sp ik e d e n s ity and a le u ro n e c o lo r (L glgB lgblg) gave a P v a lu e o f 0 .5 8 when compared w ith t h e c a lc u la te d r a t i o w hich in d ic a te d t h a t th e s e c h a r a c te r s w ere i n h e r i t e d in d e p e n d e n tly . A leurone c o lo r was found t o be i n h e r i t e d in d e p e n d e n tly o f th e f a c t o r p a i r f o r awn le n g th (Lk4l k 4 ) a l s o , a s in d ic a te d b y th e P v a lu e o f 0 .5 0 . In th is o b serv ed r a t i o o n ly 64 in d iv id u a ls o f th e Fg p o p u la tio n were u s e d . It was n e c e s s a ry t o om it th e 17 p la n ts grouped in awn c la s s 2 b ecau se th e g enotypes in c lu d e d i n t h i s group c o n ta in e d th e th r e e co m b in atio n s o f th e f a c t o r p a i r f o r a m le n g th , I k 4Lk4 , Lk4I k 4 , and Ik 4Ik 4 . C h a ra c te rs lin k e d i n in h e r i t a n c e . - The o b serv ed and c a lc u la te d Fg geno­ ty p i c r a t i o s f o r long v e rs u s s h o r t awns and la x v e rsu s dense s p ik e s a re g iv e n i n t a b l e XV. Vfhen th e observed and c a lc u la te d r a t i o s w ere compared, - a P v a lu e o f 0 .0 6 was o b ta in e d . w ere p ro b a b ly lin k e d . 40 - T his would in d ic a te t h a t th e s e c h a r a c te r s The p e rc e n ta g e o f c ro s s in g o v e r c a lc u la te d b y th e p ro d u c t method was 24.18 ± 6 .3 0 p e r c e n t. The o bserved p h en o ty p ic r a t i o and th e c a lc u la te d r a t i o s w ith in d ep en d e n t a ss o rtm e n t and w ith 24.18 p e r c e n t c ro s s in g o v e r a re g iv e n i n t a b l e XVI. The o b serv ed r a t i o f i t th e c a lc u la te d 9 : 3 i 3 t l r a t i o p o o rly , th e P v a lu e b e in g betw een 0 .0 1 and 0 .0 2 . A c lo s e f i t to th e r a t i o ex p ected w ith 24.18 p e rc e n t c ro s s in g o v e r was o b ta in e d . The P v a lu e f o r t h i s com parison was 0 .9 5 , in d ic a t­ in g t h a t th e s e c h a r a c te r s were lin k e d . T able XV Observed and c a lc u la te d Pg g e n o ty p ic r a t i o s a s determ ined by th e Fg s e g r e g a tio n f o r lo n g v e rsu s s h o r t awns and la x v e rs u s dense s p ik e s i n A rlin g to n Awnless x A tra d a , C. I . 5638 Fg genotype Lk4Lk4L6L6 Observed co u n ts C a lc u la te d 1 i 2 i 2 i 4 i 1 s2 : l i 2 t l ra tio Uc4Lk4L6I 6 ^ c4Ik 4I16L6 6 6 10 4 8 8 Lk4 Ik 4L6I 6 21 16 Lk4Lk4I 6I 6 Lk4Ik 4Ig lg I k 4Ik 4LgLg I k 4I k 4L6I 6 I k 4Ik 4I 6I 6 0 7 I 5 8 4 8 4 8 4 64 64 T o ta ls X2 P v a lu e 15.043 0.0 6 —41 — T ab le XVI O bserved and c a lc u la te d Pg ph en o ty p ic r a t i o s f o r lo n g v e rs u s s h o r t aims and la x v e rs u s d en se s p ik e s i n A rlin g to n A m le s s x A tra d a , C. I . 5638 Humber o f in d ic a te d phenotype S h o rt awns Long awns Dense Lax Lax Dense T o ta ls Observed c o u n ts C a lc u la te d 9 t3 i3 il ra tio 43 7 6 8 64 36 12 12 4 64 C a lc u la te d r a t i o w ith 2 4.18 p e r c e n t c ro s s in g over 4 1 ,2 9 .2 6 4 .0 6 .8 6 .8 X2 P 10.444 .0 1 -.0 2 0 .3 3 5 0 .9 5 - 42 . DISCUSSION I n each o f th e tiro c ro s s e s s tu d ie d , awtiedness vas i n h e r i t e d a s a tir o - f a c to r d i f f e r e n c e . I n A rlin g to n A im less x A tra d a , C. I . 6630, th e s e g re g a te s ranged f r o n long-aim ed t o th e A rlin g to n A im less ty p e , and i n A rlin g to n A im less x A tra d a , C. I . 5641, th e s e g r e g a te s ran g ed from lo n g aimed to a w n le s s . A tw o - f a c to r d if f e r e n c e betw een lo n g -aim ed and aim­ l e s s was r e p o r te d by M yler (1 4 ) . I n c ro s s e s o f long-aim ed v a r i e t i e s on an a im le ss o n e , he o b serv ed in te rm e d ia te t r u e b re e d in g ty p e s t h a t wore v e ry s im ila r i n awnedness t o th e A tra d a and A rlin g to n A im less v a r i e t i e s . However, H y le r d id n o t r e p o r t e i t h e r f a c t o r a s p r im a r ily a f f e c t i n g l a t e r a l aim developm ent. Tfhether o r n o t he ob serv ed th e e f f e c t s o f th e same f a c t o r s o p e ra tin g i n A rlin g to n A im less x A tra d a , C. I . 5641, can be d eterm in ed o n ly b y f u r tlie r s tu d y . A s i n g l e - f a c t o r d if f e r e n c e f o r norm al v e rs u s reduced l a t e r a l awns w i t i norm al p a r t i a l l y dom inant o v e r re d u c ed was o b serv ed i n e ac h c ro s s i n t ils s tu d y . T his f a c t o r , w hich was d e s ig n a te d L r1 , a ls o a f f e c t e d th e le n g th o f c e n t r a l aw ns. Ikono ( 9 ) , G linyany ( 6 ) , Engeldow ( 3 ) , Miyake and Im ai (1 2 ), and Leonard (11) re p o rte d a s in g le f a c t o r d if f e r e n c e f o r t h i s c h a r a c te r w ith p a r t i a l dom inance, b u t none o f th e s e w orkers re p o rte d any e f f e c t o f t h i s f a c t o r on c e n t r a l awn le n g th . Two o f th e s e w o rk e rs, (9 ) and ( 6 ) , concluded t h a t th e f a c t o r o p e ra te d as an i n h i b i t o r and was dom inant when l a t e r a l awns w ere re d u c e d . A lthough s e g r e g a tio n f o r o n ly two f a c t o r p a ir s was ob serv ed i n each o f th e two c r o s s e s , i t was concluded t h a t t h r e e f a c t o r p a i r s f o r awnedness were p r e s e n t i n each o f th e p a r e n ta l v a r i e t i e s . I n a d d itio n to th e f a c t o r 43p a i r f o r l a t e r a l a m dev elo p m en t, L r1 , two f a c t o r p a ir s a f f e c t i n g a m le n g th o n ly , Lk^ and Lkg, were p r e s e n t. Ih e a m le n g th f a c t o r , Lk^, f o r w hich s e g r e g a tio n was o bserved i n A rlin g to n Awnlees x A tra d a , C. I . 5638, was a p p a r e n tly th e saiie f a c t o r r e p o rte d by S tu m ( 1 9 ) . He o b serv ­ ed a s i n g l e - f a c t o r d if f e r e n c e betw een lo n g and s h o r t awns i n A tra d a , C. I . 5630, x I r e b i- V e lv o t. A s i n g l e - f a c t o r d if f e r e n c e betw een lo n g and s h o r t awns has a ls o been re p o rte d b y G linyany (6) and Miyalce and Imai (1 2 ). A t o t a l o f t h r e e f a c t o r p a ir s a f f e c t i n g awnedness lias boon r e ­ p o rte d by von Ubisoh ( 2 0 ) , Miyake and Im ai (1 2 ) , and Ikeno ( 9 ) . The in h e r ita n c e o f b lu e v e rs u s w h ite a le u ro n e on a s i n g l e - f a c t o r b a s i s , a s o b serv ed i n A rlin g to n Awnless x A tra d a , C. I . 5638, h as been p r e v io u s ly r e p o r te d by M iyazawa, S o, and Im ai (1 3 ) , B uckley ( 2 ) , R obert­ s o n , Doming, and Koonce (1 7 ) , and Ttylor and S ta n fo rd (1 5 ) . Btyler and S ta n fo rd a ls o r e p o r te d a 9 :7 r a t i o f o r b lu e to w h ite i n a c ro s s o f two w h ite v a r i e t i e s . X enia was observed i n t h i s s tu d y and was a ls o re p o rte d by a l l o f th e s e w o rk e rs. S p rin g v e rs u s w in te r h a b it was a p p a r e n tly in h e r i t e d on a m ajor s i n g l e - f a c t o r b a s is i n b o th c ro s s e s s tu d ie d , b u t d i f f i c u l t y i n c l a s s i f i ­ c a tio n and t h e poor f i t o f th e o bserv ed r a t i o to a nonohybrid r a t i o i n A rlin g to n Avmless x A tra d a , C. I . 5638, In d ic a te d t h a t o t h e r f a c to r s may have a f f e c t e d t h i s c h a r a c te r i n t h i s c r o s s . S p rin g v e rs u s w in te r h a b it was p re v io u s ly re p o rte d to be in h e r i t e d as a tw o - f a c to r d if f e r e n c e b y G aines (6 ) and a s a t h r o e - f a c t o r d if f e r e n c e by N eatby ( 1 6 ) . The in h e r ita n c e o f la x v e rs u s dense s p ik e s on a s i n g l e - f a c t o r b a s is w ith la x dom inant o v o r d e n se , as o b serv ed i n A rlin g to n Awnless x A tra d a , - 44 - C. I . 5638, i s i n agreem ent w ith r e s u l t s r e p o rte d by B iffe n ( l ) , S tu ra (1 9 ) , Miyake and Im ai (1 2 ) , and W exelsen (2 1 ) . a tw o - f a c to r d if f e r e n c e i n some c ro s s e s s tu d ie d . W exelsen (22) ob serv ed N eatby (16) re p o rte d a s i n g l e - f a c t o r d if f e r e n c e w ith m inor m odifying f a c to r s p r e s e n t , and von U bisch (20) re p o rte d a t h r e e - f a c t o r d i f f e r e n c e . Hayes and H arlan (8 ) found dense dom inant o v e r la x i n c r o s s e s t h a t th e y s tu d ie d . The d a ta o b ta in e d a re n o t s u f f i c i e n t to p la c e th e f a c t o r p a ir s i n lin k a g e groups b e ca u se none o f t h e c h a r a c te r s s tu d ie d w ere c o n tr o lle d b y known f a c t o r s o f known l o c a t i o n . Those c h a r a c te r s shown t o be in h e r ite d in d e p e n d e n tly can be c o n sid e re d to be i n d i f f e r e n t lin k a g e groups o r o v e r 50 c ro s s o v e r u n i t s a p a r t on th e sane chromosome. Those c h a r a c te r s found t o b e lin k e d a r e i n th e same lin k a g e g ro u p . * Because o f th e d i f f i c u l t y o f c l a s s i f i c a t i o n and th e r e s u l t a n t skew­ ed monohybrid r a t i o f o r s p rin g v e rs u s w in te r h a b it in A rlin g to n Aimless x A tra d a , C . I . 5638, no a tte m p t was made to d e term in e th e l i nkage r e ­ l a tio n s h ip s o f t h i s c h a r a c te r i n t h i s c r o s s . The o n ly c h a r a c te r s t h a t were shown t o be lin k e d were la x v e rsu s dense s p ik e s and lo n g v e rs u s s h o r t aw ns. These c h a r a c te r s were lin k e d i n th e c o u p lin g phase w ith 24.18± 6.30 p e rc e n t c ro s s in g o v er i n A rlin g ­ to n Awnless x A tra d a , C. I . 5638. S tu m (19) observ ed t h i s same lin k a g e w ith a p p ro x im a te ly 23 p e rc e n t c ro s s in g o v e r i n A tra d a , C. I . 5638 x T r e b i- V e lv e t. S in c e th e A tra d a p a re n t o c c u rre d in b o th c ro s s e s and s in c e th e c ro s s o v e r p e rc e n ta g e s were n o t s i g n i f i c a n t l y d i f f e r e n t , i t was concluded t h a t th e sane f a c t o r p a ir s p ro b a b ly c o n tr o lle d th e s e c h a r a c te r s in b o th c r o s s e s . - 45 - The lin k a g e r e la tio n s h ip s o f th e c h a r a c te r s s tu d ie d i n th e two c ro s s e s a r e summarized b elo w . A rlin g to n Awnless x A tra d a , C. I . 5641 Long v e rs u s s h o r t awns in h e r ite d in d e p e n d e n tly o f Normal v e rs u s reduced l a t e r a l awns S p rin g v e rs u s w in te r h a b i t Normal v e rs u s reduced l a t e r a l awns in h e r ite d in d e p e n d e n tly o f S p rin g v e rs u s w in te r h a b it A rlin g to n Awnless x A tra d a , Ce I# 5658 Long v e rsu s s h o r t awns i n h e r i t e d in d e p e n d e n tly o f Normal v e rs u s reduced l a t e r a l awns B lue v e rs u s w h ite a le u ro n e Normal v e rsu s red u ced l a t e r a l awns in h e r ite d in d e p e n d e n tly o f Blue v e rs u s w h ite a le u ro n e Lax v e rs u s dense s p ik e s Lax v e rsu s dense sp ik es i n h e r i t e d in d e p e n d e n tly o f B lue v e rs u s w h ite a le u ro n e Long v e rs u s s h o r t awns lin k e d i n in h e r ita n c e w ith Lax v e rs u s dense s p ik e s w ith 2 4 .1 8 ± 6 .3 0 p e rc e n t c ro s s in g over S p rin g v e rs u s w in te r h a b it L inkage r e la tio n s h ip s w ere n o t d eterm in ed f o r t h i s c h a r a c te r i n t h i s c ro s s -46 SUMMAHT Tho in h e r ita n c e o f awnedness and grow th h a b it i n A rlin g to n Awn­ l e s s x A tra d a , C. I . 5641, and th e in h e r ita n c e o f aw nedness, grow th h a b i t , a le u ro n e c o l o r , and sp ik e d e n s ity i n A rlin g to n Awnless x A tra d a , Ce I , 5638, were s tu d ie d . Three d i f f e r e n t f a c t o r s f o r awnedness were found i n th e two c ro s s e s s tu d ie d , Awnedness was in h e r ite d a s a tw o -f a c to r d if f e r e n c e i n each c r o s s , w ith a p p a re n t com plete dominance i n a f a c t o r p a i r f o r le n g th o f awns and p a r t i a l domianoe i n a f a c t o r p a i r f o r norm al v e rsu s red u ced l a t e r a l awns and le n g th o f aw ns. The f a c t o r f o r norm al v e rs u s red u ced l a t e r a l awns was d e s ig n a te d L r^ , T h is f a c to r was c a r r ie d i n th e r e c e s s iv e c o n d itio n i n A rlin g to n Avmless and i n th e dom inant c o n d itio n in th e two A trad a v a r i e t i e s . Lk^ and Lkg. The f a c to r s f o r le n g th o f awns were d e sig n a te d A rlin g to n Awnless c a r r ie d b o th o f th e s e f a c t o r s i n th e dom inant c o n d itio n ; A tra d a , C. 1 , 5641, c a r r i e d Lk^ i n th e dom inant c o n d itio n and Lkg i n th e r e c e s s i v e ; and A tra d a , C, I , 5638, c a r r ie d Lk^ i n th e r e c e s s iv e c o n d itio n and Lkg i n th e d o m in an t. long-aw ned ty p e s were o b ta in e d i n each c r o s s . f a c t o r s i n th e dom inant c o n d itio n . T ru e-b ree d in g These c a r r i e d a l l th r e e T ru e-b ree d in g aw nless s e g re g a te s c a r r y in g Lr^ and Lkg i n th e re c e s s iv e and Lk^ i n th e dom inant c o n d itio n were o b ta in e d i n A rlin g to n Awnless x A tra d a , C. I , 5641, Mo aw nless s e g r e g a te s were o b ta in e d i n A rlin g to n Awnless x A tra d a , C. I , 5638; th e s e g r e g a te s c a r r y in g Lr^ and Lk^ i n th e r e c e s s iv e and Lkg i n th e dom inant c o n d itio n had awns s im ila r t o th o s e o f th e A rlin g to n Awnless p a r e n t. - 47 - Blue v e rs u s w h ite a le u r o n e , s p rin g v e rs u s w in te r h a b i t , and la x v e rs u s dense s p ik e s were each i n h e r i t e d on a s in g l e - f a c t o r b a s i s . each c a s e , th e dom inant c h a r a c te r i s l i s t e d f i r s t . In X enia was observed i n th e in h e r ita n c e o f a le u ro n e c o l o r . The lin k a g e r e la t i o n s h i p s o f s p rin g v e rs u s w in te r h a b i t i n A rlin g ­ to n Awnless x A tra d a , C. I . 5638, w ere n o t d eterm in ed b ecau se th e r a t i o o b ta in e d f o r t h i s c h a r a c te r i n th e Pg g e n e r a tio n d id n o t f i t a monohybrid r a t i o c l o s e l y , a lth o u g h th e Pg s e g r e g a tio n in d ic a te d a s i n g l e - f a c t o r d if f e r e n c e . Long v e rs u s s h o r t awns was lin k e d w ith la x v e rs u s dense s p ik e s w ith 2 4 .18 ± 6 .3 0 p e rc e n t c r o s s in g o v e r. A ll o th e r co m b in atio n s o f c h a r a c te rs s tu d ie d showed in d ep en d en t a sso rtm e n t* The genotypes o f t h e p a re n t v a r i e t i e s a s d eterm in ed f o r th e c h a r a c te r s used i n t h i s s tu d y are* A leurone c o lo r Spike d e n s ity Growth h a b it Lk4 Lk4 I k 6 I k 5 B l2B l2 l Gl B B lrIlrI Lk4 Lk4 Lkg Lkg B l2B l2 Lr^Lr^ Ik 4 Ik 4 Lkg Lkg b l 2b l 2 V a rie ty L a te r a l awns A tra d a , C. I . 5641 Lr^ Lr^ A rlin g to n Awnless A tra d a , C. I . 5638 Am le n g th S e o 1B1B E E -• 48 - LITERATURE CITED AKD COKSULTED I* B if f e n , R . H . The h y b r id iz a t io n o f b a r le y s . 2 t 183-206. 2 . B u ck ley , G. F . H. J o u r. A gr • S o i . , 1907. I n h e r ita n c e i n b a r le y w ith s p e c ia l re fe re n c e to th e c o lo r o f c a ry o p s is and lemma. 1 0 i 460-492. 3 . EngeIdow, F , L . 4 . F i s h e r , R , A. 1930. I n h e r ita n c e i n b a r l e y t r & c h illa . The l a t e r a l f l o r e t s and th e J o u r . G e n e tic s , 1 0 :9 3 -1 0 8 . O liv e r and Boyd. E dinburgh e d . 3 .2 8 3 p p . I n h e r ita n c e i n w h e at, b a r l e y , and o a t h y b r id s . A gr. Exp. S t a . B u i, 1 3 5 :4 2 -4 5 . 6 . G linyany, II, P , 1920. S t a t i s t i c a l m etiods f o r r e s e a r c h w o rk e rs . and London: 5 . G a in e s , E. F . S c i . A g r., 1930, Wash. 1917. I n h e r ita n c e o f awns and hoods i n c ro s s e s betw een Hordeum v u lg a re v a r . n u d lh a x to n i x Hordeun vulg a re v a r . trifu rc a tu n . S e r ie s I I , 7 . H a rla n , H . V. B u i. A ppl. B o t., G en., and P la n t B re ed in g . 7 :3 5 5 -3 7 6 . 1937. Some d i s t i n c t i o n s i n o u r c u l tiv a te d b a rle y s w ith r e ­ fe re n c e to t h e i r u se in p la n t b re e d in g . 137. 38 p p . U .S.D .A . B u i. 1914. 8 . H ayes, H. K ., and H a rla n , H. V. The in h e r ita n c e o f th e le n g th o f in to m o d e in th e ra c h ia o f th e b a r le y sp ik e * B u i. 869. 9 . Ik e n o , S . 26 p p . U .S.D.A. 1920. G e n etic s tu d y on th e awns o f a v a r i e t y o f six -ro w e d b a r le y . I n t . R . S c i . and P r a c • A g ., 9 :4 3 9 -4 4 1 . 1918. - 10# lE rter, Fe Re 49 - F o iiiu lae and ta b le s f o r c a lc u la tin g lin k a g e in ­ te n s itie s e l i e L eonard, W# He G e n e tic s , 1 5 i 8 1 -9 8 # 1950e I n h e r ita n c e o f red u ced l a t e r a l s p i k e l e t appendages i n th e IJudihaxtoni v a r i e t y o f b a r l e y . S o c e Agrone, 3 4 :2 1 1 -2 2 1 , 1 2 , M iyake, K ,, and Im a i, Y, Jour# Amere 1942, G en etic s tu d ie s i n b a r le y , I . D ot, Mag, (T okyo), 3 6 :2 5 -3 8 , 1922. ( T r a n s la tio n o b ta in e d from D r, G, A, W iebe, Bureau P la n t In d u s try ) 1 5 , Miy&zava, B ,, S o , I I ,, and Im a i, Y , C ro sses betw een b a r le y w ith b lu e g r a in and b a r le y w ith p a le y e llo w g r a in i n Jap an ; A pparent s e g r e g a tio n i n m osaic i n th e F^ e x p la in e d by x e n ia . I n t . R , S c i . and P ra c . A g ., 1 0 :5 4 5 -5 4 7 , 1919. 1 4 . Myler , J . L , Awn in h e r ita n c e in b a r l e y . 412. J o u r, A gr. R e s ,, 6 5 :4 0 5 - 1942. 1 5 . I ty le r , J . L , , and S ta n f o r d , E , He C olor in h e r ita n c e i n b a r le y . Amer. Soo, A g ro n ., 3 4 :4 2 7 -4 3 5 . 1 6 . H eatby, K, W, Jo u r. 1942, An a n a ly s is o f t h e in h e r ita n c e o f q u a n tita tiv e c h a r a c te r s and lin k a g e i n b a r l e y s . 9 :7 0 1 -7 1 8 . 1929. 1 7 . R o b e rtso n , D. YJ., Doming, G. W., and Koonce, D. b a rle y . I n h e r ita n c e in J o u r . k?;r. R e s ., 4 4 :4 4 5 -4 6 6 . 1 8 . _______________ W iebe, G. A ., and I n n e r , F. R. s tu d ie s in b a r l e y . 1941. S c i . A g r., 1932. A summary o f lin k a g e J o u r . A iier. S o c. A g ro n ., 3 3 :4 7 -6 4 . 501 9 . S tu m , J . J . I n h e r ita n c e o f awn le n g th , d e n s ity o f s p ik e and rough­ 2 0 . TJbisoh, G. von n ess o f a m i n a b a r le y c r o s s . B ac h e lo r o f S c ie n ce t h e s i s , Montana S ta te C o lle g e . 25 p p . S tu d ie s and e x p erim en ts r e l a t i n g t o th e a n a ly s is o f th e g e n e tic f a c t o r s o f b a r l e y . A g ., 10:1104-1113 . 2 1 . W exelsen, H. I n t . R . S c i . and P ra o . 1919. Linkage o f a q u a n tita tiv e and a q u a l i t a t i v e c h a r a c te r in b a rle y . 2 2 . ____________ 1942. H e r e d ita s , 1 7 :3 2 3 -3 4 1 . 1933. Q u a n tita tiv e in h e r ita n c e and lin k a g e i n b a r l e y , H e r e d ita s , 1 8 :3 0 7 -3 4 0 . 1934. 51DESCRIPTION OF PLATES P la te I . R e p re s e n ta tiv e heads o f each o f th e p a re n t v a r i e t i e s and th e F l ty p e o f A rlin g to n Awnleas x A tra d a , C. I . 6638, and o f A rlin g to n Awnless x A tra d a , C. I • 5641. P la te I I . Heads o f b a r le y r e p r e s e n ta tiv e o f each o f th e s i x p h en o ty p ic awn c la s s e s e s ta b lis h e d f o r t h i s s tu d y . The number o f each f ig u r e i n t h e p la te c o rre sp o n d s to th e number o f th e awn c la s s r e p r e s e n te d . F ig u re I , aw nless ty p e ; f ig u r e 2 , A rlin g to n Awnless ty p e ; f ig u r e 3 , reduced A trad a ty p e ; f i g u r e 4 , A trada ty p e ; f ig u r e 5 , Fi ty p e ; and f ig u r e 6 , f u l l y awned ty p e . PLATE I PLATE I I