4 2 31 9 9 8 5

A CT A A GR ON O M I C A S IN IC A

V ol.

24,

No

.

3

Ma y , 1 9 9 8

A M M I ` ,2 2

(` ; , , 4 7 1 6 )

A M M I , D ` , D i A M M I

A M M I ; ; , ; ( A M M )I l[ , ` , , ` G ua ch

( 1 9 8 8) , A M M I , , 7[, ` 3 , 2 ` , 2 , A M M I , , G au hc an d Zob el ( 1 9 9 5) ls[ , A M M I A M M I ? A M M I ?

1 A M M I

l[ 1 , :

y,

1 , 2 , + ia + .ys , + + ljk ( 1 ) , G ; j 1 , 2 , , E ; k 1 , 2 , , R

, iy kj i j k : ; i ( ) ; J ( ) : : , ( IP C A ) is( gn lu va lue ) , y , , ( 1) ,

* H . G . G au hc M A T M O D E L ; P . L . c or lle il us . , : 1 9 96 20 0 9 , : 19 9 7 0 5 2 1

3 : AM M I

s y, 5, , I P c A I P C A

, , , ; iP , p I P C A ; E,j

2 , A M M I

, , ; , Z i(z ) , , , , y , y , ; Z is( gn lu ar va lu e d e -co m p os iit o n ) , Z Z 2 2 ` , z , ; ( IP c A ) , G oll ob ( 1 9 68 ) F I P C A ] :

, F t E 2 , 1 ) , d, 2 , , P ( 2 ) , d , i IP c A df G E i2 l

, A M M I 2 ( 2 IP C A ) , I P -C A I IP C A Z , IP C A I (P 1 I P C A Z , ( co rr e s p on d e cn e an al y is s ) l1[ K e m tP on ( 1 9 8 4) , L` }

( 1) , s y ; 5, , ( ) I(P , G au hc an d Z ob el ( 19 9 5) S h af ii ( t 9 9 2) IP C A ( ) ( l)r 3 , 3 ] , , IP c A I IP c A Z ( ) , ( ; u a e h a n d Z o b e l ( 1 9 9 5 ) S h a f i i ( 2 9 9 2 ) A M M x l[ 3 23 , I PC A 3 , , I P C A I P C A 2 , I P C A ( ) :

D` 2 , , G ( 3 ) , I P C A , : i IP C A ,

( 3) D . i , A M M I ( 3)

J: A M M I , A M M I , , M A T M O D E L f ` ` 2 , E IG A ( )V ( C o r n e l iu s 1 9 9 6 , ) M A T M ( ) D E I J

2 4

3 , 8 ( A G ) 8 (l 8)

, M A T M O D E L A M M I 1 ,

l( P C A ) , 5 IP C A , IP C A , l0[ , ` 3 1 , 8 8 , 22 . 5 6% , n . 97 % , 65 . 47 % R o -m ag os a a dn oF x( 1 9 9 3) 1 00 80 % 90 % , z2[ 70 : 20 % :10 % l[

3 1

T a b l e l

A M M I ( 8 )T h e r e s u l t s o r A M M I a n a l y s is o n t h e g e n o t y P e

b y

e n v i r o n m e n t m a t rx . T h e e r r o r

15 t h e m e a n i n t r a b l oc k e r r o r o v e r t h e 8 e n v i r o n m c n t s.

s o u r e e T r e a t m e n t G e n o t y p e E n v i r o n m e n t

I n t e r a e t i o n 1 IP C A I 2 IP C A Z 3 IP c A 3 4 IP c A 4 5 IP C A S R e s id u o l

E r r o r

D f 5 5 M S

::

8 9.

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2 5 8 5

7.

6 6 6 2

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4 2 5 9

1.

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8.

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7 3 6 8

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.

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1 2.

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1 0.

1 32 8

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7 5 19

, , : 1 % ; * * : s ig n i f i e a n e e l e v e l a t l % p r o b a b i l i t y .

2 T a bl e 2 T h e s e o r e s o r s ig n i f ica n t I P C A a x l s e s f o r g e n o t y p e s

G e n o t y P

eIP C A I

IP c AI P C A Z I P C A 3 I P C A 4 I P C A S

F

G

0 . 5 53 80

.

3 76 4

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6 9 7 1

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0.

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0 1 2 8 00

.

1 4 7 6

0 . 0 6 5 8 0 . 0 9 6 9 0 . 4 3 2 2

, 5 (I P C A I 5 ) 2 IP C A I IP C A Z ( 1 ) 2 I P C A I G , H ; I P C A Z F , A , , 2

3 : AM M I

1 , F B ,

1 , IP C A I IP C A Z ( ) 5 IP C A ( ) 68

.

40 %, 31 . 60 %

IP C A 3 5 , , IP C A 3 5 , , ( 3) r IP C A I 2 IP C A I

5

3 IP C A I 2 iD( l) : F > B > H > C > E > A > D > G ; J:IP C A I

5 D ( 2) : F > H >

D > B > C > A > E > G ,

F G , IP C A I 2 IP C A I 5

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2 D :

, A M M I D : , IP C A 3

5 z[ 20[ 8 3 3 ,

T a b l e 3

3 T h e p a r a m e t e r , o f g e n o yeP s t a b l lt y fo r d e r e n t a n a l y s m e th od s

A M M I A M M I

a n a lysi s

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: D ( l) IP C A I 2 . D (2 ) IP C A I 5 ; , , : 1%

N o t es :

D.

( 1 ) 15 t h

e p a r a me t e r o f g e n o t y p

e t a bi l i t y b a s e d o n t h e IP C A 1 2 I ) : ( 2 ) 15 t h e p a r a m e t e r o f g e n o t y p e s t a bi l i t y

ba sed o n t h

oI P C A I

5

. , , : sig n i f ie a n e

ele v e l a r l % p r o b a b i li t y

.

2 4

, b ; 8 :

A M M I D : (1 ) : F > B > H > C > E > A > D > G ;A M M I (2 ) : F > H > D > B > C > A > E > G ; : F > H > B > A > D > c > E > G ; : F > H > B > A > D > c > E > G ; : F > D > A > B > G > F > c > E

, A M M I D , ( 2 ) 8 A M M I D , ( 1) A M M I D i ( 2) , , IP C A 3 , I P C A IP C A I

2

4 ,

, , , , A M M I , , , A M M I

, A M M I , , A M M I A M M I 14[ , , , , , , A M M I , A M M I IP C A , IP C A (n io se ) , 9[, ` , ` 3

A M M I , , A M M I , , AM M I IP C A 3 , IP C A IP C A , ,

A M M I , IP C A I 2 , ,

3 : A M MI 3 09

f

E , 19 9 2 , , ,

, 2 9 9 2 , , 18 ( 2 ) , 1 16 12 5C o m

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L. ,

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t r a li a n Jou r n a l o f A g re u l t u r a l R e s e a r e h , 14 , 7 4 2 ~ 7 54

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G 19 9 2 , S t a t i s t l e a l A n a ly s i s o f R e g o n a l Y i e ld T r i a ls . E l s e v i e r , A m s t e r d a m , f h e N e t h e r la n d sG a u e h

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A n a l y s i s o f V a r i e t y S t a b i l i t y B a s e d o n A M M I Mo d e l

Z h a n g Z e 2 1 u C h e n g Z X i a n g Zh o n g h u a i Z

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j A g lr l t u r a l M z , S (,u t h t A g u lt u 1 U n vet sr , C h g , 6 3 0 7 1 6 )

A b s t r a e t T h e A d d i t i v e M a i n E f f e e t s a n d M u lt i p li e a t iv e In t e r a e t io n ( A M M I ) m o d e l h a s

d e v e lo p e d a n e w s t a t is t ie a l m e t h od fo r a n a l y z i n g t h e g e n o t y p e b y e n v ir o n m e n t i n t e r a e t io n

.

H o w-

e v e r , t he r e i n o q u a n t i t a t i v e e r i t e r i o n f o r e v a l u a t i n g s t a b i l it y d i f f e r e n e e s a m o n g v a r i e t ie s i n t h e

A M M Ia n a l y

s is.

T he n e w p a r a m e t

e r , D. ,

h a s b e e n P r o p os e d t o m e a s u r e t h e s t a b i li t y o f v a r ie t y

b as e d o n t h e A M M I a n a l y

s is in t h i s p a p e r.

T h e r e s u lt s o f a n a p p li e d e x a m p l e i n d i e a t e d t h a t t h e

e s t im a t e s o f D:

w e r e g r e a t ly e o n e o r d a n t w i t h t h e e s t im a t e s o f e e o v a lu e a n d s t a bi l it y v a r ia n e e.

Im-

p l ie a t io n s a n d r e le v a n t q u e s t io ns w e r e a l s o d i

s e u s s e d f o r t h e a p p l ie a t i o n o f t h

eA M M I

a n a lys is

.

K e y w o r d s A M M I m o d e l ; Ge n o t y p

e ; E n v i r o n m e n t ; ( E in t e r a e t io n ; S t a b i li t y