POLYDACTYLISM.
The possession of extra toes is a character that crops out again and
again among the higher, typically 5-toed vertebrates. Many cases have
been cited in works on human and mammalian teratology (_cf._ Bateson,
1904, and Schwalbe, 1906), and it is recognized that this abnormality
is very strongly inherited in man. Bateson and Saunders, and Punnett
(1902 and 1905), Hurst (1905), and Barfurth (1908), as well as myself
in my earlier report, have demonstrated the inheritableness of the
character in poultry. Bateson and Punnett (1905, p. 114) say: "The
normal foot, though commonly recessive, may sometimes _dominate_ over
the extra-toe character, and this heterozygote may give equality
when bred with recessives, just as if it were an ordinary DR."
Altogether, the inheritance of extra-toe diverges so far from typical
Mendelian results as to deserve further study.
A. TYPES OF POLYDACTYLISM.
There are two main types of polydactylism: that in which the inner
toe (I) of the normal foot is replaced by 2 simple toes, and
that in which it is replaced by two toes, of which the mediad is
simple and the laterad is divided distally. The former type is
characteristic of the Houdans; the latter is usually associated with
the Silkies. Both conditions are, however, found in both races. The
simplest condition is seen in many Houdans of my strain. It consists
of 2 equal, medium-sized toes (I' and I") lying close together
and parallel to or slightly convex towards each other. This condition
indicates that the 2 toes, together, are to be regarded as the
equivalent of the normal single toe occupying the same position. The
2 toes are, I conjecture, derived from the single toe by splitting.
The first series of changes consists of the increase in length of the
lateral element (I") and a corresponding decrease of the median
element (I'). In the last term of the series there are only 4 toes
on the foot, but the inner toe is not like the normal inner toe of
poultry, but is a much elongated I".
In the Silkie, also, the series begins with 2 small, closely-applied
toes (I' and I"). But when there are only 2 toes the lateral one
is usually much the larger. Typically this lateral toe is, as stated,
split, so that the nail is double, and the degree of splitting is
variable, in extreme cases involving half or more than half of the
toe. A second series of changes consists of the gradual reduction of
toe I' (often concomitantly with an increase in I") which may
end in its entire disappearance and thus reduce the number of toes to
5, but these are not equivalent to the 5 toes of the Houdans, since
the extra Houdan toes are I', I", and those of the reduced Silkie
are I"_a_ and I"_b_. Finally, in Silkies, the inner toe (I')
may split (more or less completely), and thus the 7-toed condition
arises. Moreover, in Houdans I have on one or two occasions found
the lateral element (I") bifid distally, resembling perfectly the
typical condition found in the Silkies.
A simple nomenclature is suggested for these various types of
extra-toes. The simple double-toed condition, as found commonly
in Houdans, may be called the _duplex_ type (D). The loss of
I' gives the _reduced duplex_ (D'). The case of split I", as
commonly seen in the Silkie, is the _triplex_ type (T); with the
loss of I' this becomes the _reduced triplex_ (T', not duplex!).
The 7-toed condition of Silkies may be called the _quadruplex type_
(Q); the combination split I' and single I" gives the _reduced
quadruplex_ (Q').[3]
[3] _E. g._, Pen 813, 935 ♀, embryo from egg of May 13.
The reduction that leads to the loss of I' consists of a loss
of phalanges, as Bateson (1904) has already pointed out. It seems
probable that the reduction affects first the proximal phalanges,
since the distal nail-bearing phalanx is the last to disappear.
B. RESULTS OF HYBRIDIZATION.
First let us consider the result of mating extra-toed individuals
belonging to "pure" extra-toed races. A typical Houdan cock (D
type), of the well-known Petersen strain, was mated with 3 hens bred
by me, but derived, several generations before, from the same strain.
With the first hen he got 29 chicks, all with the extra-toe except
one (3.3 per cent) that had 4 toes on both feet and two that had 4
toes on one foot and 5 on the other, _i. e._, one foot simplex and
one duplex. With the second he got 12 chicks, of which one had 4-5
(D) toes. The third, in 26 young, gave one with 4 toes on each
foot. Thus, in 67 chicks altogether there were 2, or 3 per cent,
with the normal number of toes on both feet (4-4). Unfortunately
these birds did not survive, so it is not known whether they would
have thrown as large a proportion of extra-toed offspring as
5-toed Houdans. Bateson's Dorkings gave about 4 per cent of 4-toed
offspring. Of the 83 offspring of 6-toed Silkies, 3, or 3.6 per
cent, had 4 toes on each foot. Even in pure-bred polydactyl races,
consequently, the character "extra-toe" does not uniformly appear in
the offspring.
Let us consider next what happens when a polydactyl individual is
crossed with a normal individual. Table 10 gives the results of
all matings of this sort and its most obvious result is that the
polydactyl condition reappears in every family, but not, as in
typically Mendelian cases, in _all_ of the offspring; at least this
is true of the Houdan crosses. In the Silkie crosses the 6 offspring
given as having the single thumb may possibly have been of the type
D', as that type was not in mind at the time of making the record
and was not always distinguished from type S. It is also clear
that the offspring of Silkie crosses are more apt to be polydactyl
than those of Houdan crosses. For 27 per cent of the latter are
non-polydactyl, while, taking the table as it stands, at most only
about 4 per cent and (as just stated) probably none of the Silkie
offspring were of the typical single-thumbed type. Also the average
degree of polydactylism is much greater in the Silkie than in the
Houdan crosses. This excess is in part due to the different method
of counting toes in the Silkie and the Houdan hybrids; for whereas
in the latter the visible toes are counted as equivalent units,
in the former in the case of each reduced type one unit more is
assigned than appears. The actual number of toes occurring in the
Silkie hybrids was also calculated, and it was found that this still
averaged higher than that of the Houdans (9.45 as opposed to 9.26).
TABLE 10.--_Frequency of the various types of toes in the first
hybrid generation between a normal and an extra-toed parent._
+-------------------------------------------------------------------------------------------------------------+
| A. HOUDAN CROSSES. |
+-----+--------------------------------------+---------------------------------+------------------------------+
| Pen | Mother. | Father. | Offspring. |
| No. +-----------+----------------+---------+---------------------------------+---------------------+--------+
| | No. | Race involved. | No. of | No. | Race involved. | No. of | Types of toes. |Average.|
| | | | toes. | | | toes. | 4-4 | 4-5 | 5-5 | |
+-----+-----------+----------------+---------+-------+----------------+--------+-------+------+------+--------+
| | {8 or 11 | Houdan. | 5-5 | } | | | { 0 | 1 | 8 | 9.9 |
| 504 | { 8 | Do. | 5-5 | } 13 | Wh. Leghorn. | 4-4 | { 1 | 3 | 8 | 9.6 |
| | { 11 | Do. | 5-5 | } | | | { 2 | 2 | 7 | 9.5 |
| | | | | | | | | | | |
| 525 | 8 or 11 | Do. | 5-5 | 27 | Minorca. | 4-4 | 8 | 3 | 13 | 9.2 |
| | | | | | | | | | | |
| 727 | { "Y" | Dk. Brahma. | 4-4 | } 831 | Houdan. | 5-5 | { 3 | 2 | 5 | 9.2 |
| | { 121 | Do. | 4-4 | } | | | { 13 | 9 | 18 | 9.1 |
| | | | | | | | | | | |
| 504 | 10-12 | Wh. Leghorn. | 4-4 | 9 | Do. | 5-5 | 3 | 2 | 0 | 8.4 |
| +-------+------+------+--------+
| Total (110) | 30 | 21 | 59 | 9.26 |
| Percentages | 27.3| 19.1| 53.6| |
+------------------------------------------------------------------------------+-------+------+------+--------+
| B. SILKIE CROSSES. |
+----+--------------------+-------------------------+---------------------------------------------------------+
| Pen| Mother. | Father. | Offspring. |
| No.+-----+-------+------+-----+------------+------+-------------------------------------------------+-------+
| | No. | Race. |No. of| No. | Race. |No. of| Types of toes.[A] | Aver- |
| | | | toes.| | | toes+---+----+---+-----+----+---+----+-----+----+-----+ age. |
| | | | | | | |ss.|sd'.|sd.|d'd'.|d'd.|dd.|st'.|d't'.|dt'.|t't'.| |
+----+-----+-------+------+-----+------------+------+---+----+---+-----+----+---+----+-----+----+-----+-------+
| 851| 1002|Cochin.| 4-4 | 7526|Silkie. | 6-6 |.. | .. | 1 | .. | 1 | 2 | .. | .. | 2 | 3 | 10.78 |
| 851| 3410| Do. | 4-4 | 7526| Do. | 6-6 |1? | .. |.. | .. | 2 | 7 | .. | .. | 1 | 3 | 10.43 |
| 815| 131| Do. | 4-4 | 774| Do. | 6-6 |.. | .. |.. | 1 | .. | 8 | .. | 1 | 1 | 1 | 10.33 |
| 851| 2073| Do. | 4-4 | 7526| Do. | 6-6 |.. | .. |.. | .. | .. | 7 | 1 | .. | .. | 1 | 10.33 |
| 734| 841| Do. | 4-4 | 774| Do. | 6-6 |.. | .. |.. | .. | .. | 3 | .. | .. | 1 | .. | 10.25 |
| 851| 838| Do. | 4-4 | 7526| Do. | 6-6 |.. | .. | 1 | 1 | .. |11 | .. | .. | .. | 3 | 10.25 |
| 851| 2299| Do. | 4-4 | 7526| Do. | 6-6 |.. | .. | 1?| 1 | .. | 4 | .. | .. | .. | 1 | 10.14 |
| 851| 5567| Do. | 4-4 | 7526| Do. | 6-6 |.. | .. |.. | .. | 1 |10 | 1 | .. | 1 | .. | 10.08 |
| 734| 840| Do. | 4-4 | 7526| Do. | 6-6 |.. | .. |.. | 1 | .. | 7 | .. | .. | .. | .. | 10.00 |
| 734| 1002| Do. | 4-4 | 774| Do. | 6-6 |.. | .. |.. | .. | 2 | 8 | .. | .. | .. | .. | 10.00 |
| 851| 840| Do. | 4-4 | 7526| Do. | 6-6 |.. | .. |.. | .. | .. | 4 | .. | .. | .. | .. | 10.00 |
| 851| 841| Do. | 4-4 | 7526| Do. | 6-6 |.. | .. |.. | .. | 1 | 1 | .. | .. | .. | .. | 10.00 |
| 744| 777|Silkie.|[B]5-6| 1176|Wh. Leghorn.| 4-4 |.. | .. |.. | .. | .. | 6 | .. | .. | .. | .. | 10.00 |
| 744| 496| Do. | 6-6 | 1176| Do. | 4-4 |1? | .. |.. | .. | .. |12 | .. | .. | 1 | .. | 9.93 |
| 851| 6956|Cochin.| 4-4 | 7526|Silkie. | 6-6 |4? | 1 |.. | 2 | .. | 3 | .. | .. | .. | .. | 9.50 |
| +---+----+---+-----+----+---+----+-----+----+-----+-------+
| Total (138) | 6 | 1 | 3 | 6 | 7 |93 | 2 | 1 | 7 | 12 | 10.13 |
+---------------------------------------------------+---+----+---+-----+----+---+----+-----+----+-----+-------+
[A] Of the reduced triplex type (t').
[B] s, means type of single thumb; d, duplex type; d', reduced duplex; t', reduced triplex.
In hybrids of both classes the greatest number of toes occurring on
one foot never exceeds the greatest number possessed by its parents;
indeed, the most polydactyl hybrids of the F1 generation of Silkies
never have as many as 6 toes on one foot. This result is not to be
explained as due to a regression towards the 4-4-toed condition, but
rather as due to the intermediate condition of the heterozygote. For
80 per cent of the hybrids show either the typical or the reduced
D type on one or both feet, although neither parent exhibits these
types.
We have next to consider the results of mating together the F1
hybrids. Table 11 gives the results of all matings of this sort.
TABLE 11.--_Frequency of the various types of toes in the second
hybrid generation between normal and extra-toed races. Lettering
as in table 10._
+------------------------------------------------------------------------------------------------------------------------+
| A. HOUDAN CROSSES (F1 × F1). |
+------+-----+------------------------------+------------------------------+---------------------------------------------+
| | | Mother. | Father. | Offspring. |
| | +-----+------------------+-----+-----+------------------+-----+----------------------------------+----------+
|Serial| Pen | | | | | | | | Average |
| No. | No. | | | No. | | | No. | Types of toes. | num. of |
| | | No. | Races involved. | of | No. | Races involved. | of +------+------+------+------+------+ toes per |
| | | | |toes.| | |toes.| 4-4 | 4-5 | 5-5 | 4-6 | 5-6 | bird. |
+------+-----+-----+------------------+-----+-----+------------------+-----+------+------+------+------+------+----------+
| 1 | 631 | 429 |Houd. × Wh. Legh. | 5-5 | 83 |Wh. Legh. × Houd. | 4-4 | 14[A]| 7 | 28 | 1 | .. | 9.3 |
| 2 | 728 | 174 | Do. | 5-5 | 258 | Do. | 5-5 | 11 | 1 | 20 | .. | .. | 9.3 |
| 3 | 631 | 448 | Do. | 5-5 | 409 | Do. | 4-4 | 13 | 4 | 18 | .. | .. | 9.1 |
| 4 | 637 | 529 |Houd. × Min. | 5-5 | 570 |Houd. × Min. | 4-4 | 4 | .. | 5 | .. | .. | 9.1 |
| 5 | 631 | 430 |Houd. × Wh. Legh. | 4-4 | 83 |Wh. Legh. × Houd. | 4-4 | 20 | 1 | 21 | .. | .. | 9.0 |
| 6 | 631 | 504 |Wh. Legh. × Houd. | 5-5 | 83 | Do. | 4-4 | 27 | 3 | 23 | .. | .. | 8.9 |
| 7 | 631 | 174 |Houd. × Wh. Legh. | 5-5 | 83 | Do. | 4-4 | 14 | 9 | 11 | .. | 1 | 8.9 |
| 8 | 519 | 85 | Do. | 4-5 | 83 | Do. | 4-4 | 9 | 2 | 4 | .. | .. | 8.7 |
| 9 | 637 | 569 |Houd. × Min. | 5-5 | 570 |Houd. × Min. | 4-4 | 14 | 1 | 4 | .. | 1 | 8.7 |
| 10 | 637 | 797 | Do. | 5-5 | 570 | Do. | 4-4 | 2 | .. | 1 | .. | .. | 8.7 |
| 11 | 631 | 86 |Houd. × Wh. Legh. | 4-4 | 83 |Houd. × Wh. Legh. | 4-4 | 11 | 1 | 6 | .. | .. | 8.7 |
| 12 | 637 | 685 |Houd. × Min. | 4-4 | 570 |Houd. × Min. | 4-4 | 5 | 1 | 2 | .. | .. | 8.6 |
| 13 | 631 | 84 |Houd. × Wh. Legh. | 4-4 | 83 |Houd. × Wh. Legh. | 4-4 | 17 | 13 | 4 | .. | .. | 8.6 |
| 14 | 519 | 84 | Do. | 4-4 | 83 | Do. | 4-4 | 7 | 1 | 2 | .. | .. | 8.5 |
| 15 | 519 | 86 |Wh. Legh. × Houd. | 4-4 | 83 |Wh. Legh. × Houd. | 4-4 | 12 | 2 | 2 | .. | .. | 8.4 |
| | | | +------+------+------+------+------+----------+
| | | | Totals (380) |180 | 46 | 151 | 1 | 2 | 8.92 |
| | | | Percentages | 47.4 | 12.1| 39.7| 0.3 | 0.5 | |
+------+-----+-----+-------------------------------------------------------+------+------+------+------+------+----------+
| B. SILKIE CROSSES (F1 × F1). |
+------+---+------------------------+------------------------+-----------------------------------------------------------+
| | | Mother. | Father. | Offspring (F2). |
| | +----+-------------+-----+----+-------------+-----+-----------------------------------------------------------+
|Serial|Pen| | | No. | | | No. | Types of toes. |
| No. |No.| No.| Races. | of | No.| Races. | of +-----------------------------------------------------------+
| | | | |toes.| | |toes.| ss | sd |d'd'| d'd| dd | st |d't'| dt'| dt |t't'| t't| tt |
+------+---+----+-------------+-----+----+-------------+-----+----+----+----+----+----+----+----+----+----+----+----+----+
| 16 |753|2071|Min. × Silk. | 4-4 |2573|Min. × Silk. | 4-5 | 7 | .. | .. | 1 | 19 | .. | 1 | .. | 3 | .. | 1 | .. |
| 17 |753|1966| Do. | 4-4 |2573| Do. | 4-5 | 12 | 2 | .. | .. | 15 | 1 | .. | .. | 2 | .. | .. | 4 |
| 18 |753|2575| Do. | 4-5 |2573| Do. | 4-5 | 18 | .. | 1 | .. | 16 | .. | .. | 1 | .. | .. | .. | 1 |
| 19 |709|3827|Silk. × Span.| 4-4 |1578|Silk. × Span.| 6-5 | 3 | .. | .. | .. | 2 | .. | .. | .. | .. | .. | .. | .. |
| 20 |709|1963| Do. | 4-4 |1578| Do. | 6-5 | 12 | 5 | .. | 1 | 15 | 1 | .. | .. | 1 | .. | .. | 1 |
| 21 |821|7413|Silk. × Coch.| 5-5 |6095|Silk. × Coch.| 5-5 | 1 | .. | .. | 1 | 7 | .. | .. | .. | 2 | .. | .. | .. |
| 22 |821|7423| Do. | 5-5 |6095| Do. | 5-5 | 3 | .. | .. | .. | 7 | .. | .. | .. | .. | 1 | .. | 1 |
| 23 |821|7428| Do. | 5-5 |6095| Do. | 5-5 | 5 | .. | 1 | 4 | 13 | .. | .. | 2 | .. | .. | .. | 1 |
| 24 |821|7408| Do. | 5-5 |6095| Do. | 5-5 | 3 | 1 | .. | .. | 8 | .. | .. | .. | 1 | 1 | .. | .. |
| | | | +----+----+----+----+----+----+----+----+----+----+----+----+
| | | | Total (208) | 64 | 8 | 2 | 7 |102 | 2 | 1 | 3 | 8 | 2 | 1 | 8 |
+------+---+----+--------------------------------------------+----+----+----+----+----+----+----+----+----+----+----+----+
[A]: Includes 1 case of 3-4 toes.
Comparing tables 10 and 11, it is at once clear that in the second
hybrid generation the proportion of extra-toed offspring has
decreased. This accords with expectation, if extra-toe is dominant,
for then only 75 per cent would be of the dominant type in F2, while
100 per cent would be of that type in F1.
Table 12 will enable us to analyze the difference of the proportions
in tables 10 and 11.
TABLE 12.--_Percentages of the various types of toes in F1 and F2
of the polydactyl hybrids compared._
+------+---------------+------------------+------------------+
| | _a_. | _b_. | _c_. |
| |Houdan hybrids.|Silkie hybrids (as|Silkie hybrids (as|
|No. of| | observed). | interpreted).[A]|
|toes. +---------------+------------------+------------------+
| | F1. | F2. | F1. | F2. | F1. | F2. |
+------+-------+-------+-------+----------+-------+----------+
| 4-4 | 27.3 | 47.4 | 9.4 | 31.7 | 4.3 | 30.8 |
| 4-5 | 19.1 | 12.1 | 9.4 | 7.7 | 2.9 | 3.8 |
| 4-6 | .... | .3 | .... | 1.0 | 1.5 | 1.0 |
| 5-5 | 53.6 | 39.7 | 81.2 | 51.4 | 76.8 | 53.4 |
| 5-6 | .... | .5 | .... | 4.3 | 5.8 | 5.8 |
| 6-6 | .... | .... | .... | 3.9 | 8.7 | 5.3 |
+------+-------+-------+-------+----------+-------+----------+
[A] Reduced duplex and triplex toes classified as typical duplex
and triplex.
These tables yield several points of interest. First, although the
proportions of normal and extra toe in table 12, _a_ and _c_, are
not Mendelian, yet the average _increase_, from F1 to F2 in the
proportion of the recessive (4-toed) type is almost exactly what is
called for by Mendel's law. That law calls for an increase of 25
per cent. The actual average increase is 23.3 per cent (20.1 and
26.5 in the two cases). It seems fair to conclude, consequently,
that Mendel's law does hold here, and that the 4-toed individuals
of F1 are heterozygotes with imperfect dominance. The feet of most
of the 4-toed Silkies of this generation belong, indeed, to the
reduced 5-toed type (table 10, B), and the reduced condition is
_prima facie_ evidence of heterozygotism. In F1 Silkies of the
first hybrid generation, 20 per cent of the feet exhibit "reduced"
types of toes, but in F2 only 5 per cent; and this might have been
anticipated, since in F2 heterozygotes are relatively only half as
numerous as in F1. Again, in F2 we see reappearing the high ancestral
toe-numbers (practically lost in the heterozygotes of F1, table 12,
_b_). These I interpret as extracted dominants. 6-toed extracts are
more numerous among the Silkie than the Houdan hybrids, because the
Silkie ancestors were 6-toed and the Houdan ancestors only 5-toed.
However, only a small proportion of the extracted Silkie dominants
have as many toes as the original Silkie ancestors, and this
indicates a permanent regression (through the contaminating influence
of hybridization?) toward the normal condition of toes. It will be
observed that, although 6 toes are not found in the Silkie hybrids
of F1, many of these heterozygotes are of the reduced triplex type.
Classifying them as virtually 6-toed, we find (table 12, _c_) 14.5
per cent of the 6-toed type in the F1 generation.
Among the extracted dominants of F2 are a few showing more toes than
appeared in the ancestors (table 12, _a_; there was also one 7-toed
F2 Silkie hybrid, not recorded in the table). It is this sort of
an advance in F2 that permits the breeder to make a forward step.
Theoretically, the appearance of this more aberrant class is probably
due to the greater numbers of progeny than of ancestors, since the
extracted dominants of F2 are seven times as numerous as their
extra-toed grandparents. Here, as elsewhere, the absolute range of
variability depends upon the number of individuals observed.
TABLE 13.--_Distribution of toe-numbers in the offspring of
DR × R matings._
+--------------------------------------------------------------------------------------------------------+
| A. HOUDAN CROSSES |
+------+---------------------------------+------------------------------+--------------------------------+
| | Mother. | Father. | Offspring. |
| +----+----+-----------------+-----+----+-------------------+-----+-----+-----+-----+-----+--------+
|Serial|No. | | | No | | | No. | | | | |Average |
| No. |of | No.| Races involved. | of | No.| Races involved. | of | 4-4 | 4-5 | 5-5 | 4-6 |num. of |
| |pen.| | |toes.| | |toes.|toes.|toes.|toes.|toes.|toes per|
| | | | | | | | | | | | | bird. |
+------+----+----+-----------------+-----+----+-------------------+-----+-----+-----+-----+-----+--------+
| 1 |519A| 87|Houd. × Wh. Legh.| 4-5 | 71| Wh. Legh. | 4-4 | 17 | 2 | 6 | .. | 8.6 |
| 2 |671 | 742|Min. × Dk. Brah. | 4-4 | 352| Houd. × Dk. Brah. | 4-4 | 8 | 2 | 2 | .. | 8.5 |
| | | | +-----+-----+-----+-----+--------+
| | | | Totals (37) | 25 | 4 | 8 | .. | 8.54 |
+------+----+----+------------------------------------------------------+-----+-----+-----+-----+--------+
| B. SILKIE CROSSES. |
+------+----+----+-----------------+-----+----+-------------------+-----+-----+-----+-----+-----+--------+
| 3 |706 | 10|Wh. Legh. | 4-4 |1965| Silkie × Spanish | 5-5 | 4 | .. | 4 | .. | 9.00 |
| 4 |766 |3814| Do. | 4-4 | 834| Blk. Game × Silkie| 5-5 | 10 | 4 | 8 | 1 | 9.00 |
| 5 |766 | 10| Do. | 4-4 | 834| Do. | 5-5 | 7 | .. | 5 | .. | 8.83 |
| 6 |607 | 203|Frizzle × Silkie | 5-5 | 15| Frizzle | 4-4 | 15 | 2 | 9 | .. | 8.77 |
| 7 |766 |3815|Wh. Legh. | 4-4 | 834| Blk. Game × Silkie| 5-5 | 11 | .. | 7 | .. | 8.77 |
| 8 |706 |3815| Do. | 4-4 |1965| Silkie × Spanish | 5-5 | 6 | .. | 3 | .. | 8.67 |
| 9 |706 | 71| Do. | 4-4 |3823| Do. | 5-5 | 18 | 1 | 8 | .. | 8.63 |
| 10 |766 |3832|Buff Legh. | 4-4 | 834| Blk. Game × Silkie| 5-5 | 7 | .. | 2 | .. | 8.44 |
| 11 |706 |3833| Do. | 4-4 |1965| Silkie × Spanish | 5-5 | 3 | 1 | | .. | 8.25 |
| 12 |607 | 230|Frizzle × Silkie | 4-4 | 15| Frizzle | 4-4 | 23 | 2 | 2 | .. | 8.22 |
| 13 |706 | 71|Wh. Legh. | 4-4 |1965| Silkie × Spanish | 5-5 | 5 | .. | .. | .. | 8.00 |
| 14 |706 |3814| Do. | 4-4 |1965| Do. | 5-5 | 6 | .. | .. | .. | 8.00 |
| 15 |706 |3832|Buff Legh. | 4-4 |1965| Do. | 5-5 | 5 | .. | .. | .. | 8.00 |
| | | | +-----+-----+-----+-----+--------+
| | | | Totals (179) | 120 | 10 | 48 | 1 | 8.60 |
+------+----+----+------------------------------------------------------+-----+-----+-----+-----+--------+
TABLE 14.--_Distribution of toe-numbers in the offspring of DR × D
matings._
+-------------------------------------------------------------------------------------------------------+
| A. HOUDAN CROSSES. |
+------+---+---------------------------+-------------------------+--------------------------------------+
| | | Mother. | Father. | Offspring. |
| | +---+-----------------+-----+----+---------------+----+-----+-----+-----+-----+-----+--------+
|Serial|Pen|No.| Races involved. | No. | No.|Races involved.| No.| 4-4 |4-5 | 5-5 | 5-6 | 6-6 |Average |
| No. |No.| | | of | | | of |toes.|toes.|toes.|toes.|toes.|num. of |
| | | | |toes.| | |toes| | | | | |toes per|
| | | | | | | | | | | | | | bird. |
+------+---+---+-----------------+-----+----+---------------+----+-----+-----+-----+-----+-----+--------+ bird.
| 1 |803|529|Houdan × Min. | 5-5 |7522|Houdan | 5-5| 1 | 4 | 13 | .. | .. | 9.67 |
+------+---+---+-----------------+-----+----+---------------+----+-----+-----+-----+-----+-----+--------+
| B. SILKIE CROSSES |
+------+---+---+-----------------+-----+----+---------------+----+-----+-----+-----+-----+-----+--------+
| 2 |606|182|Frizzle × Silkie.| 4-4 |775 |Silkie. | 6-6| .. | 3 | 10 | 3 | 5 | 10.48 |
| 3 |606|182| Do. | 4-4 | 21A| Do. | 6-6| .. | .. | 5 | .. | 1 | 10.33 |
| 4 |606|182| Do. | 4-4 |551 | Do. | 5-6| .. | .. | 5 | .. | .. | 10.00 |
| | | | +-----+-----+-----+-----+-----+--------+
| | | | Totals (32) | .. | .. | 20 | 3 | 6 | 10.36 |
+------+---+---+-------------------------------------------------+-----+-----+-----+-----+-----+--------+
TABLE 15.--_Percentages of the various types of toes in F1, F2,
DR × R and DR × D matings of the polydactyl crosses compared._
+--------+-----------------------------------+-----------------------------------+-----------------------------------+
| | | | _c._ Silkie crosses (reduced |
| | _a._ Houdan crosses. | _b._ Silkie crosses. | forms of toe classified as |
| No. of | | | typical). |
| toes. +--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+
| | Mating | Mating | Mating | Mating | Mating | Mating | Mating | Mating | Mating | Mating | Mating | Mating |
| | F1. | F2. | DR × R | DR × D | F1. | F2. | DR × R | DR × D | F1. | F2. | DR × R | DR × D |
+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+
| |_P. ct._|_P. ct._|_P. ct._|_P. ct._|_P. ct._|_P. ct._|_P. ct._|_P. ct._|_P. ct._|_P. ct._|_P. ct._|_P. ct._|
| 4-4 | 27.3 | 47.4 | 67.6 | 5.6 | 9.4 | 31.7 | 67.0 | .. | 4.3 | 30.8 | 66.7 | .. |
| 4-5 | 19.1 | 12.1 | 10.8 | 22.2 | 9.4 | 7.7 | 5.6 | 9.4 | 2.9 | 3.8 | 3.1 | 9.4 |
| 5-5 | 53.6 | 39.7 | 21.6 | 72.2 | 81.2 | 51.4 | 26.8 | 62.5 | 76.8 | 53.4 | 24.6 | 62.5 |
| 4-6 | .. | .3 | .. | .. | .. | 1.0 | .6 | .. | .. | 1.0 | 1.9 | .. |
| 5-6 | .. | .5 | .. | .. | .. | 4.3 | .. | 9.4 | 5.8 | 5.8 | 1.5 | 9.4 |
| 6-6 | .. | .. | .. | .. | .. | 3.9 | .. | .. | 8.7 | 5.3 | 1.2 | 18.7 |
| 6-7 | .. | .. | .. | .. | .. | .. | .. | .. | .. | .. | .. | .. |
+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+
As we have seen, failure of dominance is much more complete in
some of the individuals of F2, namely, those with 4 toes, than
others. There is a variation in "potency." Is the degree of potency
inherited? Do the 4-toed heterozygotes produce a larger proportion of
imperfect dominants in F2 than the 5-toed heterozygotes? The answer
to this question should be given by the correlation between total
number of toes in the two parents and average number of toes in their
offspring, as given in table 11. In the case of the Houdan crosses
there is a strong positive correlation, measured by 0.683±0.092;
but the correlation is insignificant in the Silkie crosses
(-0.085±0.032). This lack of correlation in the Silkie hybrids is
perhaps due to the heavy regression in toe-number characteristic
of the second hybrid generation. In general, there seems to be an
inheritance of potency.
It now remains to test our conclusions by reference to the mating
of the heterozygote with the dominant and with the recessive types,
respectively. An examination of tables 13 to 15, particularly the
last, reveals several points of interest. Mendelian expectation
in the DR × R cross is 50 per cent of the recessive (4-4) type.
Actually, in the two crosses, A and B, 68 per cent and 67 per
cent, respectively, were obtained. But recalling that of these
amounts one-half of 27.3, or 13.71, and one-half of 9.4, or
4.7, are respectively due to failure to develop the extra-toe
in heterozygotes, there remain 54 per cent and 62 per cent,
respectively, of 4-toed offspring, which doubtless represent the
extracted RR type and approach the expected proportions.
Mendelian expectation in the DR × D cross (table 15) is 50 per
cent heterozygotes and 50 per cent extracted dominants. Of the
heterozygotes some 14 per cent may be expected to show 4-4 toes; that
the percentage is much less than that is doubtless due to the small
numbers involved. What is striking is the reappearance, in the second
generation, of large proportions of the extreme dominant type. These
results thus confirm those of the F2 generation.
Since extra-toe frequently fails to dominate, there should be certain
4-toed heterozygotes which throw extra-toe offspring, and such are
found. In table 16 are given six matings of 4-toed DR's. One sees
that they produce some 5-toed offspring. On the other hand, extracted
4-toed recessives are obtained, as table 17 shows.
Finally, we must consider whether, among the polydactyl birds of
one class, _e. g._, Houdans or Silkies, there is any difference
in the "centgener power" of parents corresponding to the degree
of development of their extra toes. This inquiry is suggested by
Castle's study (1906, p. 20) of polydactyl guinea-pigs. He finds that
when the extra toes of the mothers are graded into the 5 classes,
good (G), fair (F), poor (P), normal though of abnormal ancestry (N),
and normal of normal ancestry (N'), it follows: "first, that the
proportion of polydactylous young produced by a male decreases in
the successive classes from G to N'; and, secondly, that the degree
of development of the toes produced on those polydactylous young
diminishes in the same order." It is possible to test this conclusion
in poultry because, inside of any one type of extra-toe, _e. g._, the
triplex type, variation appears in the absolute size of the toes and
in the degree of their separateness. Our questions, then, are: (1)
does the _proportion of polydactyl young_ produced by a pair of birds
of any type diminish with the degree of development of toes inside
of that type, and (2) does the _degree of development_ of the toes
produced on the polydactylous offspring diminish in the same order?
TABLE 16.--_Distribution of toe-numbers in the offspring of
4-toed heterozygotes._
+-----+-------------------------+-----------------------+-----------------+--------+
| | Mother. | Father. | Offspring. | |
| Pen +----+-------------+------+----+-----------+------+-----+-----+-----+ Nature |
| No. | No.| Races. |No. of| No.| Races. |No. of| 4-4 | 4-5 | 5-5 | of |
| | | | toes.| | | toes.|toes.|toes.|toes.| mating.|
+-----+----+-------------+------+----+-----------+------------+-----+-----+--------+
| 637 | 685|Houd. × Min. | 4-4 | 570|Houd.×Min. | 4-4 | 5 | 1 | 2 |DR × DR |
| 729 | 913|Houd. × Min. | 4-4 | 936|Houd.×Legh.| 4-4 | 38 | 13 | 19 |DR × DR |
| 729 |2269| Do. | 4-4 | 936| Do. | 4-4 | 15 | 5 | 10 |DR × DR |
| 729 |2324| Do. | 4-4 | 936| Do. | 4-4 | 30 | 5 | 3 |DR × R |
| 642 | 750|Min. × Polish| 4-4 | 647| Do. | 4-4 | 10 | .. | 3 | R × DR |
| 671 | 742|Min. × Brah. | 4-4 | 352|Houd.×Brah.| 4-4 | 8 | 2 | 2 | R × DR |
+-----+----+-------------+------+----+-----------+------+-----+-----+-----+--------+
TABLE 17.--_Distribution of toe-numbers in the offspring of
extracted 4-toed parents._
+----+------------------------+--------------------------+-----------------+-------+
| | Mother. | Father. | Offspring. | |
| +----+-------------+-----+---+----------------+-----+-----+-----+-----+Nature |
|Pen | | | No. | | | No. | | | | of |
|No. | No.| Races. | of |No.| Races. | of | 4-4 |4-5 | 5-5 |mating.|
| | | |toes.| | |toes.|toes.|toes.|toes.| |
+----+----+-------------+-----+---+----------------+-----+-----+-----+-----+-------+
| {|2011|Polish × Min.| 4-4 |444|F2 Houd. × Legh.| 4-4 | 10 | .. | .. | R × R |
| {|2614| Do. | 4-4 |444| Do. | 4-4 | 6 | .. | .. | R × R |
|762{|2333| Do. | 4-4 |444| Do. | 4-4 | 16 | .. | .. | R × R |
| {|2618| Do. | 4-4 |444| Do. | 4-4 | 2 | .. | .. | R × R |
| {|3776| Do. | 4-4 |444| Do. | 4-4 | 2 | .. | .. | R × R |
+----+----+-------------+-----+---+----------------+-----+-----+-----+-----+-------+
Two sets of data are available for answering these questions. The
most direct set includes the data derived from crossing "pure-bred"
polydactyl birds and the other includes the data derived from using
hybrids between normal-toed and polydactyl ancestors. The latter data
have the advantage that the parents offer a greater variability;
but they have the disadvantage that the germinal condition of those
parents is incompletely known.
The pure races may be considered first. Eight matings of Houdans,
each parent with 5 toes, gave 122 offspring, of which 116 had 5-5
toes, 3 had 4-5 toes, and 3 had 4-4 toes. The variability of the toes
is not great in the parent Houdans. But, arranging them in the order
of development of the toes, the most developed first, the series of
table 18 results.
TABLE 18.
+------+---------+-------+--------------------------+
| | | | Offspring. |
|Serial| Pen No. |No. of +-----+-----+-----+--------+
| No. | |mother.| 4-4 | 4-5 | 5-5 |Average.|
| | | |toes.|toes.|toes.| |
+------+---------+-------+-----+-----+-----+--------+
| 1 | 727 803 | 2457 | 1 | 2 | 34 | 9.89 |
| 2 | 727 803 | 3105 | 1 | 0 | 45 | 9.95 |
| 3 | 803 | 2579 | .. | 1 | 12 | 9.92 |
| 4 | 727 | 3106 | .. | .. | 4 | 10.00 |
| 5 | 727 | 2494 | 1 | 0 | 5 | 9.67 |
| 6 | 727 | 2459 | .. | .. | 16 | 10.00 |
+------+---------+-------+-----+-----+-----+--------+
No direct relation here appears between development of the extra toe
in the parents and the average number of toes in the offspring.
Of the Silkies, 3 hens were used in 5 matings. The same 6-toed cock
(No. 774) was employed throughout (table 19).
TABLE 19.
+------+---------+----------+-------+---------------------------------+
| | | Mother. | | Offspring (No. of toes). |
|Serial| Pen No. +---+------+ f +---+---+---+---+---+---+---------+
| No. | |No.|No. of| |4-4|5-4|5-5|4-6|5-6|6-8| Average.|
| | | | toes.| | | | | | | | |
+------+---------+---+------+-------+---+---+---+---+---+---+---------+
| 1 | 734 815 |499| 6-6 |21{_a_ | 2 | 1 | 7 | 0 | 3 | 8 | 10.3 |
| | | | | {_b_ | 1 | 0 | 3 | 0 | 0 |17 | 11.4 |
| | | | | | | | | | | | |
| 2 | 734 815 |773| 6-5 |13{_a_ |.. |.. | 6 | 0 | 3 | 4 | 10.9 |
| | | | | {_b_ |.. |.. | 2 | 1 | 1 | 9 | 11.4 |
| | | | | | | | | | | | |
| 3 | 734 |500| 5-5 | 8{_a_ |.. | 2 | 4 | 0 | 2 |.. | 10.0 |
| | | | | {_b_ |.. |.. | 3 | 2 | 2 | 1 | 10.5 |
+------+---------+---+------+-------+---+---+---+---+---+---+---------+
In table 19 the series _a_ of observed average numbers of filial
toes (10.3, 10.9, 10.0) and the series _b_ obtained by assigning
the typical full number to all reduced types (11.4, 11.4, 10.5) are
decidedly irregular. There is, however, between the parental and the
filial series a correlation of +0.250±0.070. This indicates a slight
tendency for the number of toes in the progeny to vary with those of
the parentage.
The second set of data is derived from special matings made with
hybrids between Houdans and 4-toed races. On the one hand, in pens
728 and 813, cocks with well-developed toes of the duplex type were
mated with hens as nearly as possible of the same sort; while in
pens 765, 769, and 820 cocks with small, imperfectly separated toes
(probably of the duplex type[4]) were mated with hens as far as
possible of the same sort.
[4] I say probably of the duplex type because the cock
of pen 769 had a distally split toe on the right foot, reminding
somewhat of the _reduced_ triplex type. But as the left foot had a
typical duplex thumb, and the triplex is not common in Houdans, it
should probably be classed as duplex.
Tables 20, 21, and 22 give in detail and in summary the distribution
of types of polydactylism in the families from well-developed and in
those from poorly developed parents. They show a great difference
between the offspring of parents with good extra-toe (table 20) and
those with poor extra-toe (table 21). The former yield over 80 per
cent offspring with 5 toes or more on one or both feet, while the
latter yield about 57 per cent of such.
On the other hand, in the former families there are less than half
as many offspring with only 4 toes as in the latter. Classifying
"reduced" forms with their proper advanced type, we find highly
polydactyl parents yielding only 16 per cent non-polydactyl
offspring, while slightly polydactyl parents yield 43 per cent
non-polydactyl offspring. The percentage of polydactylous young
diminishes with the size and distinctness of the extra toes and the
grades of the polydactyl offspring are lower (absence in table 22, _b_,
of 6 toes). Both of Castle's conclusions seem to be confirmed.
TABLE 20.--_Distribution of toe-types in the offspring of "good"
extra-toed parents._
+------+---+---------------------------+---------------------------+---------+--------------------------------------+-------------------------------------------------------+
| | | Mother. | Father. | | Absolute numbers. | Theoretical classification. |
|Serial|Pen+----+----+-----------------+----+----+-----------------+ Mating. +-----+-----+-----+-----+-----+--------+----+----+-----+----+----+-----+----+---+-----+---+----+
| No. |No.| No.|Gen.| Races. | No.|Gen.| Races. | | 4-4 | 4-5 | 5-5 | 5-6 | 6-6 |Average.| ss.| sd.|d'd'.|d'd.| dd.|d't'.|dt'.|dt.|t't'.|tt.|q't.|
+------+---+----+----+-----------------+----+----+-----------------+---------+-----+-----+-----+-----+-----+--------+----+----+-----+----+----+-----+----+---+-----+---+----+
| 1 |728|2271| F2 |Wh. Legh. × Houd.| 258| F1 |Houd. × Wh. Legh.| DD × DR | 4 | 1 | 21 | .. | .. | 9.65 | 3 | .. | 1 | 1 | 21 | .. | .. | ..| .. | ..| .. |
| 2 |728| 912| F2 | Do. | 258| F1 | Do. | DR × DR | 5 | 3 | 21 | .. | .. | 9.55 | 5 | 3 | .. | .. | 20 | .. | 1 | ..| .. | ..| .. |
| 3 |728|2248| F2 | Do. | 258| F1 | Do. | DD × DR | 8 | 3 | 22 | .. | .. | 9.42 | 8 | 3 | .. | .. | 21 | .. | .. | ..| 1 | ..| .. |
| 4 |728|2272| F2 | Do. | 258| F1 | Do. | DR × DR | 17 | 4 | 34 | .. | .. | 9.31 | 17 | 1 | .. | 3 | 34 | .. | .. | ..| .. | ..| .. |
| 5 |728| 174| F1 | Do. | 258| F1 | Do. | DR × DR | 10 | 1 | 15 | .. | .. | 9.19 | 10 | 1 | .. | .. | 14 | .. | 1 | ..| .. | ..| .. |
| | | | | +-----+-----+-----+-----+-----+--------+----+----+-----+----+----+-----+----+---+-----+---+----+
| | | | | Totals (169) | 44 | 12 | 113 | .. | .. | 9.41 | 43 | 8 | 1 | 4 |110 | 0 | 2 | 0 | 1 | ..| .. |
| | | | | Percentages | 26.0| 7.1| 66.9| .. | .. | .. |25.4| 4.7| 0.6| 2.4|65.2| .. | 1.2| ..| 0.6 | ..| .. |
| | | | | +=====+=====+=====+=====+=====+========+====+====+=====+====+====+=====+====+===+=====+===+====+
| 6 |813|2271| F2 |Wh. Legh. × Houd.|3904| F3 |Houd. × Wh. Legh.| D × D | .. | 2 | 32 | .. | .. | 9.94 | .. | .. | .. | 2 | 32 | .. | .. | ..| .. | ..| .. |
| 7 |813|5113| F2 | Do. |3904| F3 | Do. | D × D | 2 | 1 | 32 | 1 | .. | 9.89 | .. | .. | 2 | 1 | 32 | .. | .. | 1 | .. | ..| .. |
| 8 |813| 377| F2 | Do. |3904| F3 | Do. | DR × D | 2 | 5 | 17 | .. | 1 | 9.68 | 2 | 2 | .. | 3 | 16 | .. | 1 | ..| .. | 1| .. |
| 9 |813|5122| F3 | Do. |3904| F3 | Do. | D × D | 1 | 3 | 7 | .. | .. | 9.55 | 1 | 3 | .. | .. | 7 | .. | .. | ..| .. | ..| .. |
| 10 |813| 935| F2 | Do. |3904| F3 | Do. | DR × D | 1 | 2 | 25 | 1 | 1 | 9.53 | 1 | 2 | .. | .. | 25 | .. | .. | 1 | .. | ..| 1 |
| 11 |813|2272| F2 | Do. |3904| F3 | Do. | DR × D | 5 | 2 | 18 | .. | .. | 9.52 | 4 | 1 | 1 | .. | 18 | 1 | .. | ..| .. | ..| .. |
| 12 |813| 912| F2 | Do. |3904| F3 | Do. | DR × D | 4 | 5 | 11 | .. | .. | 9.35 | 3 | 5 | 1 | .. | 11 | .. | .. | ..| .. | ..| .. |
| 13 |813|7320| F3 | Do. |3904| F3 | Do. | DR × D | 5 | 1 | 11 | .. | .. | 9.35 | 3 | 1 | 2 | .. | 11 | .. | .. | ..| .. | ..| .. |
| 14 |813|5142| F2 | Do. |3904| F3 | Do. | DR × D | 2 | 1 | 4 | .. | .. | 9.28 | 2 | .. | .. | 1 | 4 | .. | .. | ..| .. | ..| .. |
| | | | | +-----+-----+-----+-----+-----+--------+----+----+-----+----+----+-----+----+---+-----+---+----+
| | | | | Totals (205) | 22 | 22 | 157 | 2 | 2 | 9.70 | 16 | 14 | 6 | 7 |156 | 1 | 1 | 2| 0 | 1| 1 |
| | | | | Percentages | 10.7| 10.7| 76.5| 1.0 | 1.0 | .. | 7.8| 6.8| 2.9| 3.4|76.2| 0.5 | 0.5|1.0| .. |0.5| 0.5|
+------+---+----+----+-------------------------------------------------------+-----+-----+-----+-----+-----+--------+----+----+-----+----+----+-----+----+---+-----+---+----+
TABLE 21.--_Distribution of toe-types in the offspring of "poor" extra-toed parents._
+------+---+----------------------------+----------------------------+--------+-------------------------------+------------------------------------+
| | | Mother. | Father. | | Absolute numbers. | Theoretical classification. |
|Serial|Pen+----+-----+-----------------+----+-----+-----------------+ Mating.+-----+-----+-----+----+--------+----+----+-----+----+----+-----+----+
| No. |No.| No.| Gen.| Races. | No.| Gen.| Races. | | 4-4 | 4-5 | 5-5 |5-6 |Average.| ss.| sd.|d'd'.|d'd.| dd.|t't'.|dq'.|
| | | | | | | | | | | | | | | | | | | | | |
+------+---+----+-----+-----------------+----+-----+-----------------+--------+-----+-----+-----+----+--------+----+----+-----+----+----+-----+----+
| 1 |765| 984|F2 |Wh. Legh. × Houd.|1794|F2 |Wh. Legh. × Houd.| DR × DR| 9 | 5 | 11 | .. | 9.08 | 9 | 3 | .. | 2 | 10 | 1 | .. |
| 2 |765|1790|F2 | Do. |1794|F2 | Do. | DR × DR| 18 | 7 | 17 | .. | 8.98 | 18 | 6 | .. | 1 | 17 | .. | .. |
| | | | | +-----+-----+-----+----+--------+----+----+-----+----+----+-----+----+
| | | | | Totals (67) | 27 | 12 | 28 | .. | 9.02 | 27 | 9 | .. | 3 | 27 | 1 | .. |
| | | | | Percentages | 40.3| 17.9| 41.8| .. | .. |40.3|13.4| .. | 4.5|40.3| 1.5 | .. |
| | | | | +=====+=====+=====+====+========+====+====+====+====+====+=====+====+
| 3 |769| 492|F1 |Wh. Legh. × Houd.| 911|F2 |Wh. Legh. × Houd.| DR × DR| 13 | 1 | 14 | .. | 9.04 | 13 | 1 | .. | .. | 14 | .. | .. |
| 4 |769|4976|F2 | Do. | 911|F2 | Do. | DR × DR| 11 | 3 | 9 | .. | 8.91 | 11 | 3 | .. | .. | 8 | 1 | .. |
| 5 |769|2254|F2 | Do. | 911|F2 | Do. | DR × DR| 22 | 6 | 8 | .. | 8.61 | 22 | 4 | .. | 2 | 8 | .. | .. |
| 6 |769|1305|F2 | Do. | 911|F2 | Do. | DR × DR| 12 | 1 | 4 | .. | 8.53 | 12 | .. | .. | 1 | 4 | .. | .. |
| | | | | +-----+-----+-----+----+--------+----+----+-----+----+----+-----+----+
| | | | | Totals (104) | 58 | 11 | 35 | .. | 8.77 | 58 | 8 | .. | 3 | 34 | 1 | .. |
| | | | | Percentages | 55.8| 10.6| 33.7| .. | .. |55.8| 7.7| .. | 2.9|32.7| 1.0 | .. |
| | | | | +=====+=====+=====+====+========+====+====+=====+====+====+=====+====+
| 7 |820| 984|F2 |Wh. Legh. × Houd.|4731|F3 |Wh. Legh. × Houd.| D × DR| 2 | 3 | 27 | .. | 9.78 | 2 | 2 | .. | 1 | 27 | .. | .. |
| 8 |820|2255|F2 | Do. |4731|F3 | Do. | DR × DR| 6 | 1 | 10 | .. | 9.24 | 6 | .. | .. | 1 | 10 | .. | .. |
| 9 |820|6479|F3 | Do. |4731|F3 | Do. | DR × DR| 12 | 2 | 16 | .. | 9.13 | 10 | 1 | 2 | 1 | 15 | 1 | .. |
| 10 |820|2016|F1[A]| Do. |4731|F3 | Do. | DR × DR| 9 | 2 | 2 | .. | 8.45 | 9 | 2 | .. | ..| 2 | .. | .. |
| | | | | +-----+-----+-----+----+--------+----+----+-----+----+----+-----+----+
| | | | | Totals (92) | 29 | 8 | 55 | .. | 9.28 | 27 | 5 | 2 | 3 | 54 | 1 | .. |
| | | | | Percentages | 31.5| 8.7 | 59.8| .. | .. |29.3| 5.4| 2.2| 3.3|58.7| 1.1 | .. |
+------+---+----+-----+-------------------------------------------------------+-----+-----+-----+----+--------+----+----+-----+----+----+-----+----+
[A] No. 2016 has 4-4 toes and is a hybrid between a 5-toed White Leghorn × Houdan and a 4-toed Minorca × Polish.
But a more critical examination of the parentages of the 5 pens shows
that they are not comparable. In matings 6 to 14 of table 20 the
cock is almost certainly a dominant in respect to toes; whereas the
cocks in table 21 are probably heterozygous. The heterozygous state
determines two things: the imperfect nature of the extra-toe and a
relative deficiency in the offspring of the higher toe-numbers. In
our results we can not say that one of these things is the cause of
the other, as Castle does; they are, rather, in all probability, due
to a common cause. I think Castle's paper may justly be criticized
for not giving sufficient data concerning the ancestry of the
individual mothers used. Without such data the paper can not be said
satisfactorily to demonstrate his conclusion.
TABLE 22.--_Summary of observed toe-numbers in offspring,
percentages._
+-------------------------------------------++-----------------------------+
| _a._ Parents have "good" extra toes. || _b._ Parents have "poor" |
| || extra toes. |
+--------+------+------+------+------+------++--------+------+------+------+
| | 4-4 | 4-5 | 5-5 | 5-6 | 6-6 || | 4-4 | 4-5 | 5-5 |
| Pen No.| toes.| toes.| toes.| toes.| toes.|| Pen No.| toes.| toes.| toes.|
+--------+------+------+------+------+------++--------+------+------+------+
| 728 | 26.0 | 7.1 | 66.9 | .. | .. || 765 | 40.3 | 17.9 | 41.8 |
| 813 | 10.7 | 10.7 | 76.5 | 1.0 | 1.0 || 769 | 55.8 | 10.6 | 33.7 |
| | | | | | || 820 | 31.5 | 8.7 | 59.8 |
| +------+------+------+------+------++ +------+------+------+
|Average.| 17.7 | 9.1 | 72.2 | 0.5 | 0.5 ||Average.| 43.2 | 11.8 | 44.9 |
+--------+------+------+------+------+------++--------+------+------+------+
To summarize: "Potency," as measured by dominance of the extra-toed
condition, is inherited, in the Houdan crosses at least. There is
some evidence, derived from "pure-bred" Silkies, that differences in
the degree of development of the extra-toes are inherited. But the
average condition of the toes in the offspring of second or later
generation hybrids can not be used as evidence of inheritance of the
degree of parental development of the toes, since these are dependent
on the same basal cause, namely, the hidden gametic constitution
of the parents. Despite the obscuration of imperfect dominance,
polydactylism in poultry proves itself to be a unit-character that
segregates.