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Defective  inheritance-ratio 
| in  Bursa  hybrids. 

by 
Dr.    George  H./Shull. 


IC-NRLF 


B    3    IDfl    357 


GIFT  OF 
Author 


*  L.tBKAKY-AG«'CUCTU 


, 


MA4N 


DEPT 


Defective  inheritance-ratios  in  Bursa  hybrids. 


By  Dr.  George  Harrison  Shull'r 


Station  for  Experimental  Evolution,  Cold  Spring  Barber,  J 

New  York. 

(Sonderabdruck  aus  dem  XLJX.  Bande  der  Verhandlungeii  des  naturforscheoden  Vereines  in  Brunn.) 


Several    years    ago    (1905 — 1907)   I  was   making   extensive 
[cultures  of  .Bwrsa  (Capsella)  bursa-pastoris,   of  Bursa  Heegeri,  and 
of  hybrids  between  these  two  species.  Bursa  Heegeri  is  generally 
conceded    to  have  originated    from    B.  bursa-pastoris   by   a  recent 
mutation  and  has  been  found  in  nature  only   once    in  a   situation 
rhich   would   warrant   the   belief  that   it   had   not   been   derived 
from    a   near  -  by    experimental    culture.    Although   a    number   of 
[specimens  were  found  by  Professor  H  e  e  g  e  r  at  the  original  locality 
[on   the  market-place   at  Landau,    Germany,  in  1897,  so  far  as  is 
low  known  these  represented  a  single  elementary  form  or  biotype . 
Sfll  bursa-pastoris,    on  the  other  hand,   is  of  almost  world- wide 
distribution,   and   presents  an   unknown   number,    but  certainly  a 
|large  number,  of  distinct  biotypes. 

In   my  cultures  of  the  latter   species  I  found  four  forms  of 
-osette   which   were   related    to  one  another   as  the  four  terms  of 
Mendelian   di-hybrid.    These    four   biotypes   were    named    and 
| described  as  follows:1) 

Type  (a).  Bursa  bursa-pastoris  heieris  has  the  leaves  divided 
to  the  mid-rib,  the  terminal  lobe  being  usually  separated  from 
[the  nearest  lateral  lobes  by  clean,  deep  incisions.  The  lateral 
lobes  consist  essentially  of  two  features,  an  elongated  proximal 
[portion,  the  „ primary  lobe",  and  a  more  or  less  rounded  or 


J)  ^Results  of  crossing  Bursa  bursa-pastoris  and  Bursa  Heegeriu. 
pp.  Proceedings  Seventh  International  Zoological  Congress,  Boston  Meeting, 
LUgust  19—24  1907.  nAdvanced  reprint"  issued  in  1910. 

nBursa  bursa-pastoris   and  Bursa  Heegeri:  Biotypes   and    hybrids", 
pp.,    23    text^figg.,    4    pis.,    Publ.    No.    112,    Carnegie   Institution   of 
[Washington,  1909. 

Yerbandlungen  des  natarf.  Vereines  in  Brunn.  XUX.  Band.  * 


646272 


angular   portion,   the    „  secondary  lobe",   in   the  distal  axil  of  the 
primary  lobe. 

Type  (b).  Bursa  bursa-pastoris  rhomboidea  has  the  leaves 
divided  to  the  mid-rib  as  in  B.  bp.  heteris.  The  lateral  lobes  have 
an  incision  on  the  distal  margin  setting  off  the  secondary  lobe 
from  an;  utoeldngated  primary  lobe.  There  is  usually  a  corre- 
sponding incision  «9n  the  proximal  margin  of  the  primary  lobe. 
In  Jke'«  test  jl#y«loped  specimens  these  incisions  set  off  a  small 
terminal  portion  of  each  lateral  lobe,  which  is  rather  blunt  or 
angular  at  the  apex,  being  generally  of  rhomboidal  form.  Less 
perfectly  developed  specimens  have  the  incisions  very  shallow  or 
nearly  wanting,  but  retain  the  characteristic  deep  sinuses  extending 
to  the  mid-rib. 

Type  (c).  Bursa  bursa-pastoris  tenuis  differs  from  both  (a) 
and  (b)  in  that  the  sinuses  do  not  usually  reach  the  mid-rib. 
The  terminal  lobe  is  not  separated  from  the  nearest  lateral  lobes 
by  deep,  clean-cut  sinuses,  these  more  distal  sinuses  being  rela- 
tively shallow,  so  that  one  can  with  but  scant  propriety  speak 
of  the  terminal  lobe  as  a  definite  morphological  structure.  All  the 
lateral  lobes  tend  to  be  elongated  and  sharp,  and  no  incisions 
are  present  to  set  off  a  secondary  lobe,  though  in  particularly 
vigorous  specimens  there  may  be  a  slight  expansion  of  leaf-tissue 
in  the  region  occupied  by  the  secondary  lobe  in  B.  bp.  heteris 
and  B.  bp.  rhomboidea. 

Type  (d).  Bursa  bursa-pastoris  simplex,  like  B.  bp.  tenuis  is 
scarcely  ever  divided  nearly  to  the  mid-rib,  and  the  lateral  lobes 
are  mostly  obtuse,  sometimes  more  or  less  acute,  but  never  long 
and  attenuated.  No  secondary  lobing  appears  except  occasionally 
a  slight  denticulation  on  the  margins. 

These  descriptions  refer  to  the  characters  of  the  climax- 
leaves  in  well-grown  specimens,  as  all  of  these  types  have  juve- 
nile leaves  entirely  unlobed  and  indistinguishable  from  the  juve- 
nile leaves  of  the  other  forhis,  and  the  late  rosette-leaves  and 
stem-leaves  likewise  generally  lack  distinctive  features.  Under 
poor  cultural  conditions  plants  frequently  complete  their  development, 
flower,  and  ripen  their  seeds,  without  exhibiting  any  but  these 
juvenile  and  senescent  characters.  The  complete  procession  of 
leaf-forms  in  typical  specimens  of  the  four  described  biotypes  are 
shown  in  the  plates  I — IV. 


The  production  of  a  considerable  number  of  hybrid  families 
representing  the  various  possible  combinations  of  these  four 
biotypes  has  demonstrated  that  their  gametic  formulae  may  be  aptly 
represented  by  the  conventional  Mendelian  symbols,  as  follows : 

B.  bp.  heteris      .     .  AE 

B.  bp.  rhomboidea  .  aB 

B.  bp.  tennis      .     .  Ab 

B.  bp.  simplex    .     .  ab 

By  comparing  these  formulae  with  the  descriptions  of  the  differ- 
ent forms  it  will  be  seen  that  A  is  responsible  for  the  long, 
sharp  character  of  the  primary  lobe  in  B.  bp.  heteris,  and  the 
attenuation  of  the  lobes  in  B.  bp.  tenuis,  while  B  produces  the 
division  of  the  leaf  to  the  mid-rib  and  the  resultant  definiteness 
of  the  terminal  lobe  in  both  B.  bp.  heteris  and  B.  bp.  rhomboidea, 
the  rounded  secondary  lobe  of  B.  bp.  heteris,  and  the  proximal 
and  distal  incisions  of  B.  bp.  rhomboidea. 

Bursa  Heegeri  has  the  totem-form  of  rosette,  *'.  e.  with  the 
gametic  formula  AB,  but  differs  so  fundamentally  from  Bursa 
bursa-pastons  in  the  characters  of  the  capsules,  that  if  its  rela- 
tionship to  the  latter  species  were  not  so  obvious  on  other 
grounds,  its  capsules  would  cause  it  to  be  placed  unquestionably 
in  a  separate  genus.  The  flat,  triangular  or  cordate  form  of  the 
bursa-pastoris  capsule  is  too  familiar  to  need  description.  The 
spur-like  valves  are  firm,  and  fall  readily  at  the  slightest  touch 
when  the  seeds  are  ripe.  The  capsules  of  B.  Heegeri  are  of  oval 
form,  surmounted  by  the  short,  strong,  persistent  style,  and  the 
valves  are  thin  membranous,  not  the  least  inflated,  and  do  not 
fall  when  the  seeds  are  mature.  The  seeds  are  liberated  by  an 
irregular  break  in  the  central  region  of  each  valve. 

When  this  original  genotype  of  B.  Heegeri  was  crossed 
reciprocally  with  B.  bursa-pastoris  simplex,  the  rosette-characters 
segregated  in  the  F2,  into  the  four  types  described  above,  but 
the  Heegeri-tjpe  of  capsule  appeared  in  only  111  specimens 
among  2540.  The  distribution  of  the  several  characters  in  the 
F2  are  shown  in  the  following  table : 


Table  1. 


Bursa  bp.  simplex  (abC)  X  Bursa  H.  heteris  (ABc} 

Fed.  No.  056.64 

Fed.  No.  059. 

Bursa  bp.  heteris  (ABC) 

Fed.  No.  0564.88 

Fed.  No.  059.89 

Bursa-pastoris  Series  (C) 

Heegeri  Series  (c) 

III! 

1          1 

Fed.  No. 

heteris    rhomboidea    tennis    simplex 

heteris    rhomboidea   tennis    simplex 

C:  c 

06196 

98          32           36        13 

5 

2            1          1 

19.9  :  1 

06197 

1032        302          331        78 

45           13          13          1 

24.2  :  1 

06212 

317          67          102        21 

19 

470 

16.9  :  1 

Total 

1447     :    401     :     469  :  112 

69      :      19     :      21     :     2 

21.9:1 

Expected 

1368     :    456     :     456  :  152 

63      :      21     :     21     :    7 

3.0:1 

The  deficiencies  seen  to  be  consistently  present  in  all  these 
pedigrees  in  the  number  of  rhomboidea  and  simplex  were  pro- 
bably due  at  least  in  part  to  an  error  of  classification,  those  rhom- 
boideas  having  the  greatest  elongation  of  the  terminal  segment 
of  the  lobes  having  doubtless  permitted  their  classification  as 
minus-fluctuations  of  heteris,  and  the  sharpest-lobed  simplex  as 
minus-fluctuations  of  tenuis.  The  greatest  surprise  was  occasioned 
by  a  ratio  of  about  22  :  1  in  the  form  of  the  capsules,  as  it  was 
thought  probable  that  the  difference  between  the  two  forms 
would  be  found  to  be  dependent  upon  the  presence  and  absence 
of  a  single  gene,  the  expected  ratio  on  this  assumption  being  3:1. 

At  the  close  of  the  second  generation  the  cultures  were 
necessarily  discontinued,  and  could  not  be  resumed  until  in  the 
autumn  of  1910.  The  appearance  of  a  paper  by  Nilsson-Ehle  1), 
showing  that  certain  characters  of  wheat  and  oats  are  independ- 
ently determined  by  two  or  more  distinct  units  or  genes,  gave 
the  suggestion  that  the  capsule-character  of  B.  bur  sa- pastor  is 
might  be  determined  in  like  manner  by  two  genes,  the  absence 
of  both  of  which  produces  the  Heegeri-type  of  capsule,  although  the 
observed  ratio  22  :  1  is  a  bad  approximation  to  the  expected  ratio 


*)  Nilsson-Ehle,  H.,  Kreuzungsuntersuchungen  an  Hafer  und  Weizen. 
pp.  122.  1909.  Lund:  Hakan  Ohlssons  Buchdruckerei. 


15  :  1,  considering  the  number  of  individuals  involved  in  the  F2 
cultures  and  the  consistent  results  yielded  by  three  different 
pedigrees  involving  reciprocal  crosses.  After  the  pedigrees  were 
all  arranged  in  the  spring  of  1910  for  the  testing  of  this  hypoth- 
esis, Baur J)  suggested  the  same  possible  explanation  in  a 
review  of  one  of  my  papers. 

The  demonstration  of  two  independent  genes  for  the  deter- 
mination of  the  same  external  character  is  to  be  found  in  the 
composition  of  the  F3  families  grown  from  self- fertilized  F2  individ- 
uals possessing  the  dominant  character  in  question,  —  in  this 
instance  the  bursa-pastoris  type  of  capsule.  Letting  the  two  sup- 
posed genes  for  the  triangular  capsule  be  represented  by  the 
symbols  Cc  and  Dd,  the  gametic  composition  in  F2  and  the 
expectation  in  the  F3  is  indicated  in  the  following  table: 

Table  II. 

Number  of  r  ®  *™£L                                Expected 

F2  plants  in  16.  C^he  F2                              Re8U^8  in  F* 

1  CDCD  All  bursa-pastoris. 

2  CDCd  All  bursa-pastoris. 
2  CDcD  All  bursa-pastoris. 

4  CDcd  Bursa-pastoris  and  Heegeri,  15  :  1. 

1  CdCd  All  bursa-pastoris. 

1  cDcD  All  bursa-pastoris. 

2  Cdcd  Bursa-pastoris  and  Heegeri,  3:1. 
2  cDcd  Bursa-pastoris  and  Heegeri,  3:1. 
1  cdcd  All  Heegeri. 

The  facts  shown  in  this  table  may  be  summarized  in  the 
statement  that  among  fifteen  families  raised  from  F2  plants 
having  the  bursa-pastoris  type  of  capsule,  there  will  be  on  the 
average  seven  (1  CDCD  +  2  CDCd  +  2  CDcD  f  1  CdCd  +  1  cDcD) 
which  will  breed  true  to  that  type,  four  (CDcd)  will  produce 
bursa-pastoris  and  Heegeri  in  the  ratio  15  :  1  as  in  the  F2,  and 
four  (2  Cdcd  +  2  cDcd)  will  give  these  two  types  of  capsules  in 
the  ratio  3:1.  As  in  all  other  recessive  types,  the  offspring  of 
F2  plants  having  Heegeri  capsules  should  produce  no  plants  with 
bursa-pastoris  capsules  in  the  F3. 

l)  Zeitsehrift    fur    Induktive    Abstaininuugj-    und    Vererbuugslehre 
:\ :  341—342,  Je  1910, 


6 


Eleven  families  were  grown  during  the  winter  of  1910 — 11 
from  seeds  of  F2  plants  having  bursa-pastoris  capsules,  and  live 
families  from  plants  having  Heegeri  capsules.  The  results  are 
brought  together  here  in  the  form  of  a  table. 

Table  III. 


Pedigree 
Number 

Capsule  of 
parent 

Rosette  of 
parent 

Result  iii  F3 

Ratio 

capsules 

Ratio 
rosettes 

09258 

bursa-pastoris 

heteris 

1  H.  heteris 

0:1 

1  :0 

09281 

bursa-pastoris 

heteris 

307  bp.  heteris 

1:0 

1  :0 

09284 

bursa-pastoris 

heteris 

(  31  bp.  heteris  \ 
1  11  bp.  tenuis  1 
)  5  H.  heteris  f 
1  4  H  tenuis 

4.67  :  1 

2.47  :  1 

09271 

bursa-pastoris 

rhomboidea 

f  175  bp.  rhomboidea  } 
\  70  bp.  simplex  } 

1  :0 

2.50  :  1 

09272 

bursa-pastoris 

rhomboidea 

{  96  bp.  rhomboidea  \ 
<  31  bp.  simplex 
[    2  H.  rhomboidea   J 

63.5  :  1 

3.16  :  1 

09273 

bursa-pastoris 

tenuis 

375  bp.  tenuis 

1:0 

1:0 

09274 

bursa-pastoris 

tenuis 

/224  bp.  tenuis           } 
)  64  bp.  simplex 
\  10  H.  tenuis            ( 
[    2  H  simplex 

24.0  :  1 

3.55  :  1 

09283 

bursa-pastoris 

tenuis 

(250  bp  tenuis  \ 
{  16  H.  tenuis  J 

15.6  :  1 

1  :0 

09275 

bursa-pastoris 

simplex 

f443  bp.  tenuis  \ 
\213  bp.  simplex  j 

1:0 

2.08  :  1 

09275  i 

bursa-pastoris 

simplex 

1  86  bp.  tenuis  } 
\  35  bp.  simplex  j 

1  :0 

2.43  :  1 

09276 

bursa-pastoris 

simplex 

472  bp.  simplex 

1:0 

0:  1 

09282 

bursa-pastoris 

simplex 

156  bp.  simplex 

1:0 

0:  1 

09278 

Heegeri 

heteris 

{7  H.  heteris           ] 
3  H.  rhomboidea    > 
1  H.  tenuis            ) 

0:  1 

7:3:1:0 

09288 

Heegeri 

heteris             1  H.  heteris 

0:  1 

1  :0 

09289 

Heegeri 

heteris            1  H.  heteris 

0:1 

1  :0 

09277 
09290 

Heegeri 
Heegeri 

tenuis 
tenuis 

J167  H.  tenuis  \ 
\  79  H.  simplex  j 

10  H.  tenuis 

0:  1 
0:1 

2.11  :  1 
1:0 

Second  sowing. 


Several  of  these  families  consisted  of  but  one  individual  each, 
and  these  may  be  left  out  of  account  as  having  no  significance.  The 
most  interesting  is  09258  in  which  a  bursa-pastoris  parent  produced 
a  single  Hezgeri  offspring,  thus  showing  that  this  parent  was 
heterozygous  in  respect  to  capsule-character.  Six  of  the  eleven 
families  derived  from  bursa-pastoris  parents  bred  true  to  the 
bursa-pastoris  type  of  capsule,  this  being  slightly  in  excess  of 
expectation  on  the  assumption  that  this  character  is  determined 
independently  by  two  genes,  and  considerably  in  excess  of  the 
one- third  which  should  have  bred  true  if  but  one  gene  differentiated 
the  Heegeri  capsules  from  the  bursa-pastoris  capsules  of  the 
Pj.  However  the  number  of  families  is  wholly  inadequate  to  permit 
the  attachment  of  any  special  significance  to  this  closer  agreement 
with  the  requirements  of  the  two-gene  hypothesis.  All  of  the 
families  from  parents  having  Heegeri  capsules  have  bred  true  to 
the  parental  character,  as  they  should  do  to  agree  with  Mendelian 
interpretation.  The  four  families  which  split  into  the  two  parental 
types  show  the  ratios,  4.67  :  1,  15.6  :  1,  24.0  :  1,  and  63.5  :  1,  all 
of  these  ratios  differing  in  the  same  direction  but  in  quite  various 
degrees  from  the  two  available  ratios  3  :  1  and  15  :  1.  Two  of 
the  families  show  a  suggestive  approximation  to  the  expected 
ratios,  while  the  other  two  depart  widely  from  the  nearest 
available  ratio  15  :  1.  All  of  these  families  as  well  as  the  three 
families  of  the  F2  have  shown  a  smaller  proportion  of  Heegeri 
plants  than  required  by  the  hypothesis  that  the  bursa-pastoris 
capsules  are  determined  independently  by  two  genes. 

It  appears  to  me  that  the  explanation  of  these  results  is  to 
be  sought  in  some  modifying  influence  acting  upon  the  normal 
Mendelian  processes.  The  ratio  4.67  :  1  may  then  represent  a 
modified  ratio  of  3  :  1,  and  the  other  three  ratios  may  be  referred 
to  the  ratio  15  :  1.  These  three  families  taken  together  give 
a  ratio  of  22.2  ;  1,  essentially  identical  with  the  observed  ratio 
21.9  :  1  in  the  F2,  and  showing  almost  exactly  the  same  pro- 
portional departure  from  15  :  1,  that  4.67  :  1  shows  from  3:1, 
for  4.67  :  3  =  23.3  :  15. 

The  nature  of  the  modifying  cause  or  causes  which  may  be 
operating  to  produce  these  defective  ratios  need  not  be  discussed 
at  length  here,  as  the  matter  is  capable  of  experimental  treat- 
ment and  is  being  investigated;  but  it  may  be  pointed  out  that 
either  „ selective  fertilization"  favoring  the  union  of  unlike  gametes, 


or  „  selective  elimination"  of  the  Heegeri  homozygotes,  would 
produce  the  observed  results.  Of  these  two  sources  of  modified 
ratios,  „ selective  elimination"  seems  to  be  the  more  promising, 
because  there  appears  to  be  at  present  no  satisfactory  evidence  that 
„ selective  fertilization"  occurs  in  any  other  organism,  while  „ selec- 
tive elimination"  has  been  clearly  demonstrated  in  Antirrhinum1) 
and  in  yellow  mice.2)  In  both  of  these,  the  one  class  of  homozy- 
gotes  is  entirely  eliminated,  so  that  the  normal  ratio  3:1(1+2:1) 
becomes  2:1.  If  „ selective  elimination"  is  the  source  of  the 
discrepancies  between  the  theoretical  and  observed  ratios  in 
the  capsule-characters  of  Bursa,  its  operaton  must  differ  from  that 
in  Antirrhinum  and  in  yellow  mice  in  two  particulars,  namely, 
there  must  be  only  a  partial  elimination  of  one  homozygous  class 
in  Bursa,  and  this  elimination  must  affect  the  negative,  instead 
of  the  positive,  homozygotes. 

The  ratios  for  the  rosette  -  characters  in  several  of  the 
families  also  deviate  considerably  from  the  expected  ratio  3:1, 
and  it  is  a  pertinent  question  whether  any  of  these  deviations 
is  significant,  or  whether  they  may  be  accounted  for  by  the 
errors  of  random  sampling,  due  to  the  small  size  of  the  families. 
The  fact  that  several  of  the  ratios  lie  above  3  :  1  and  others 
below,  suggests  that  at  least  a  considerable  part  of  the  variation 
in  the  ratios  is  due  to  purely  chance  causes  of  this  kind.  The 
ratio  3:1  is  the  ideal,  but  can  be  absolutely  expected  only 
when  the  number  of  offspring  is  infinite. 

Too  little  attention  is  paid  by  students  of  genetics  perhaps 
to  the  probable  errors  of  their  results.  If  we  follow  Johannsen  3) 
in  computing  the  standard  deviation  in  the  case  of  alternative 
characters  by  the  formula  <r  =  V  %  p(l  .  %  pl5  in  which  %  p0 
represents  the  percentage  of  individuals  in  the  one  class  and 
%pj  the  percentage  in  the  alternative  class,  it  is  easy  to  deter- 
mine within  what  limits  a  single  observed  ratio  might  be  referred 
to  3  :  1  with  a  sufficient  degree  of  probability.  These  limits  for 


!)  Baur,  E.,  Untersuchungen  iiber  die  Erblicbkeitsverhaltnisse  in 
einer  nur  in  Bastardform  lebensfalrigen  Sippe  von  Antirrhinum  majus. 
Ber.  d.  Deutseh.  Bot.  Gesell.  25  :  442,  1907. 

a)  Castle,  W.  E.,  and  Little,  C.  C.,  On  a  modified  Mendelian  ratio 
among  yellow  mice.  Science  N.  S.  32:868—870,  16  D  1910. 

3)  Johannsen,  W.,  Elemente  der  exakten  Erblichkeitslehre.  pp.  VI    | 
516,  1909.  Jeiia:  Gustav  Fischer.  See  p.  57. 


9 

families  of  various  sizes  from  100  to  1000  are  given  in  the 
following  table,  and  are  calculated  to  allow  a  departure  from 
the  observed  ratio,  equal  to  three  times  the  probable  error.  The 
adoption  of  three  times  the  probable  error  as  a  crtrerion  of 
significant  differences  is  purely  arbitrary,  and  about  three  families 
in  one-thousand  having  the  given  number  of  individuals  could 
be  expected  to  transgress  the  limits  indicated  in  the  table,  and 
such  departures  would  still  be  due  only  to  the  errors  of  random, 
sampling.  Some  biometricians  accept  2.5  times  the  probable  error 
as  the  limit  within  which  results  may  not  be  confidently  claimed 

to  be  significant. 

Table  IV. 

Number  of  Observed  percentages  Observed  ratios 

individuals         theoretically  referable  to  75  %         referable  to  ratio  3  : 1 


100  60.34  %  to  85.54  %  1.52  :  1  to  5.91 

200  64.87%  to  82.97%  1.85:1  to  4.87 

300  66.84  %  to  81.70  %  2.02  :  1  to  4.46 

400  68.00  %  to  80.90  %  2.13  :  1  to  4.23 

500  68.78  %  to  80.33  %  2.20  :  1  to  4.08 

600  69.35  %  to  79.91  %  2.26  :  1  to  3.97 

TOO  69.80  %  to  79.57  %  2.31  : 1  to  3.89 

800  70.14  %  to  79.29  %  2.35  :  1  to  3.82 

900  70.43  %  to  79.07  %  2.38  :  1  to  3.77 

1000  70.68  %  to  78.87  %  2.41  :  1  to  3.73 


1 
1 
1 
1 
1 
1 
1 
1 
1 
1 

Only  one  of  the  ratios  for  the  leaf-characters  in  the  F3  cul- 
tures transgresses  the  limits  indicated  in  this  table.  The 
family  09275  in  which  656  individuals  gave  a  ratio  of  2.08  :  1, 
clearly  presents  a  defect  not  due  to  random  sampling,  and  the 
cause  of  the  deficiency  was  easily  discovered.  The  parent  of  this 
family  was  classified  as  Bursa  bursa-pastoris  simplex,  and  was 
expected  to  produce  only  the  parental  characters  in  its  offspring ; 
but  the  progeny  consisted  of  443  B.  bp.  tenuis  and  213  B.  bp.  simplex, 
thus  demonstrating  that  the  parent  was  a  heterozygote  in  which 
the  normally  dominant  tenuis  characters  failed  to  appear.  The 
relative  impotency  of  the  tenuis  character  which  allowed  it  to 
remain  undeveloped  in  the  parent,  seems  to  have  affected  the 
offspring  in  a  similar  manner,  so  that  without  doubt  many  of 
the  heterozygotes  were  classified  as  B.  bp.  simplex. 

During   the   early    development   of  this  family,  it   appeared 
to  consist  of  about  three  B.  bp.  simplex  to  one  B.  bp.  tenuis,  and 


10 

only  much  later  did  it  become  obvious  that  many  of  the  supposed 
simplex  plants  were  producing  a  greater  elongation  of  some  of 
the  lobes  than  is  to  be  found  in  pure  B.  bp.  simplex.  The  ratio 
2.08  :  1  here  reported  for  this  family,  was  derived  by  waiting 
until  the  flower- stems  were  about  5 — 10  centimeters  high,  and 
then  calling  everything  tennis  which  produced  at  least  one  lobe 
more  elongated  than  those  of  pure-bred  B.  bp.  simplex.  Plate  V 
shows  the  most  highly  developed  leaf-characters  attained  in  each 
of  twenty-six  individuals  taken  quite  at  random  from  plants  in 
this  family,  which  had  been  finally  classified  as  B.  bp.  tennis. 
In  normal,  well-developed  specimens  of  B.  bp.  tenuis  there  is  a 
long  series  of  leaves  in  the  middle  („ climax")  region  of  the 
rosette,  in  which  there  is  marked  elongation  of  the  lobes  (see 
plate  III),  but  in  family  09275  many  of  the  plants  which  were 
finally  regarded  as  B.  bp.  tennis,  had  but  one  or  two  leaves  in 
which  recognized  tenuis  characters  appeared.  Thus  the  wide  gap 
which  ordinarily  separates  the  dominant  and  recessive  types  in 
these  hybrid  families  of  Bursa,  was  in  this  particular  family  not 
only  reduced  to  zero,  but  it  appears  certain  that  the  heterozy- 
gous and  recessive  categories  overlapped  to  such  an  extent  that 
many  individuals  which  belonged  in  the  former  were  necessarily 
classified  in  the  latter :  hence  the  defective  ratio  is  to  be  explained 
by  the  failure  of  dominance  of  the  tenuis  characters  in  the  heterozy- 
gotes.  v  '. 

The  cause  of  this  failure  of  dominance  is  not  apparent.  The 
environment  has  a  very  considerable  influence  in  determining  the 
various  features  of  Bursa  plants;  and  especially  in  limiting  the 
development  of  such  distinctive  characters  as  ordinarily  appear 
only  in  the  climax  leaves.  Crowding  in  the  seed-pans,  poor 
illumination,  and  other  unfavorable  conditions,  have  caused  many 
plants  in  certain  of  my  cultures,  to  develop  flowers  and  ripen 
seeds  without  having  developed  their  leaves  beyond  the  early 
juvenile  stages.  While  the  rosettes  in  09275  were  not  in  any 
sense  juvenile,  the  simplex  characters  do  represent  a  less  highly 
specialized  type  than  tenuis,  and  therefore  any  influence  which 
tends  to  abbreviate  the  cycle  of  development,  might  conceivably 
reduce  tenuis  plants  to  a  form  indistinguishable  from  simplex.  This 
large  family  of  656  individuals  was  germinated  in  a  single  square 
seed-pan,  30  X  30  cm,  and  the  young  plants  grew  in  this  seed-pan 
for  seven  weeks  before  they  were  potted.  Perhaps  this  long 


11 

crowding  might  be  expected  to  have  some  such  effect  as  that 
observed.  So  far  as  known,  all  other  conditions  under  which  these 
plants  grew,  were  conducive  to  vigorous  development.  At  any 
rate  this  culture  was  in  all  other  regards  on  an  equal  footing  with 
the  other  cultures  which  were  being  grown  during  the  same 
period,  and  which  gave  normal  development  of  the  several 
biotypes. 

To  test  the  suggestion  that  crowding  might  be  respon- 
sible for  the  failure  of  dominance,  a  second  sowing  was  made 
on  February  25,  1911,  each  seed  being  sown  separately  and 
spaced  in  such  a  manner  that  the  seed-pan  contained  only  120 
plants.  On  April  7  these  were  potted  and  their  growth  has  been 
continuously  healthy  and  vigorous.  They  have  not  been  subjected 
at  any  time  to  the  least  injurious  crowding,  yet  they  show  the 
same  tardy  development  of  the  tenuis  characters  as  observed 
before.  On  April  22  only  three  of  the  120  plants  could  be  distin- 
guished from  B.  bp.  sim/  lex,  though  nearly  all  were  sufficiently 
advanced  that  if  it  had  been  a  normal  family  representing  the  same 
hybrid  combination,  almost  a  complete  separation  of  the  alter- 
native types  might  have  been  made.  The  final  census  of  the  plants 
derived  from  this  second  sowing,  made  on  the  same  basis  and 
with  the  same  care  as  in  the  case  of  the  first  sowing,  showed 
85  B.  bp.  tenuis  and  35  B.  bp.  simplex,  -  -  a  ratio  of  2.43  :  1. 
The  conclusion  is  reached  therefore  that  the  low  grade  of  the 
tenuis  characters  in  this  family  is  inherent,  and  not  a  direct 
effect  of  unfavorable  conditions  of  the  environment. 

This  result  appears  to  furnish  an  illustration  of  the  phenom- 
enon known  as  „ variable  potency"  *),  but  whether  the  gene  A 
for  the  tenuis  characters  is  really  different  in  family  09275  from 
that  in  the  other  families  must  remain  for  the  present  an  open 
question.  It  is  conceivable  that  the  relative  inefficiency  of  A  in 
this  family  is  due  to  the  operation  of  some  other  factor  which 
acts  as  a  partial  inhibitor,  so  that  although  the  actual  character 
of  A  remains  unchanged,  it  must  meet  a  greater  resistance,  and 
therefore  produces  a  less  effect.  To  avoid  a  decision  of  the 
question  whether  the  gene  has  less  power  or  whether  it  must 
meet  a  greater  resistance,  I  use  the  expression  Mrelative 


J)  Davenport,   C.   B.,  Heredity  and  Mendel's  law.  Proc.  Washington 
Acad.  Sci.  9  : 179-187,  31  Jy  1&07. 


12 

potency".     The    ^inhibiting   factor",    if  such   there   be,  need    not 
even   be   genotypic    in   nature,    but   may    be   the   result   of  some 
somatic  quality  of  the  parent    (such    for   instance    as   its   state  of 
health)  projected  to   the   offspring  through  influences  surrounding 
the  latter  during  their  embryonic  development. 

Summary. 

Crosses  between  Bursa  (Gapsella)  bursa-pastoris  simplex  and 
B.  Heegeri  heteris  have  demonstrated  the  existence  of  two  genes, 
A  and  B,  which  determine  the  differentiating  characteristics  of 
the  rosettes  and  which  result  in  the  production  of  four  forms  in 
the  F2  in  the  ratio  9:3:3:1. 

They  seem  to  indicate  also  the  presence  of  two  genes,  C 
and  J),  each  of  which  is  independently  responsible  for  the  bursa- 
pastoris-type  of  capsule.  The  Heegeri-tyipQ  appears  only  in  the 
absence  of  both  G  and  D.  On  this  basis  the  two  forms  should 
appear  in  the  F2  in  the  ratio  15  :  1.  The  observed  ratio  was 
21.9  :  1.  In  the  F3,  some  families  should  give  ratios  of  3  :  1,  and 
other  families  should  again  give  ratios  of  15  :  1.  The  observed 
ratios  in  F3  were  4.67  :  1,  and  22.2  :  1.  These  observed  ratios 
show  a  corresponding  deviation  from  the  theoretical  ratios,  and 
are  thought  to  indicate  the  action  of  some  modifying  influence, 
such  as  „  selective  elimination",  distorting  the  results  of  an  other- 
wise normal  Mendelian  segregation. 

A  defective  ratio  in  the  rosettes  of  one  family  is  shown  to 
be  due  to  failure  of  dominance,  and  certain  facts  are  presented, 
which  indicate  that  this  failure  of  dominance  is  attributable  to  a 
less  „ relative  potency"  of  the  gene  A  which  determines  the 
tenuis- character.  This  change  in  the  relative  potency  of  A  may 
be  due  to  a  decline  in "  the  efficiency  of  the  gene  itself,  or  to 
the  operation  of  some  other  factor  or  condition  which  offers  an 
increased  resistance  to  the  development  of  the 


Drnck  von  W.  Burkart  in  Bj-uim.  —  Yerlag  dcs  Verfasseys. 


Shull  —  Defective  ratios  in  Bursa.  Plate  I. 


Ontogenetic  succession  of  leaf- forms  in  Bursa.  .    .  .heteris. 


Shull  —  Defective  ratios  in  Bursa.  Plate  II. 


w 


Ontogenetic  succession  of  leaf- forms  in  Bursa..    .  .rhomboidea. 


Shull  -  -  Defective  ratios  in  Bursa,       Plate  III. 


Ontogciietic  succession  of  leaf- forms  in  Eurm .  .    .  .tenuis. 


Shu  11  —  Defective  ratios  in  Bursa.         Plate  IV. 


Ontogenetic  succession  of  leaf- forms  in  Bursa simplex. 


Shu  11  —  Defective  ratios  in  Bursa.        Plate  V. 


Inflorescences  of  Bursa  bursa-pastoris  (at  right)  and  of 
B.  Heegeri  (left). 


Shu  11  —  Defective  ratios  in  Bnrsa.        Plate  YT. 


;•••  :•:::• 


Climax  leaves  of  twenty- six  individuals  classified  as  B.  bp.  tenuis  ^ 

in   a   family    (09275)  which  showed    an   unusually    low    grade    of 

development  of  the  tenuis  characters. 


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