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Genetic and environmental factors affecting some
reproductive traits of Holstein cows in Cuba
A Menendez Buxadera, L Dempfle
To cite this version:
Original
article
Genetic
and
environmental factors
affecting
some
reproductive
traits
of Holstein
cows
in Cuba
A Menendez Buxadera
L
Dempfle
1
Centro
deInvestigacidn
para elMejoramiento Animal,
Carretera Central Km 211/2,
Cotorro, Havana, Cuba;
2
International
Trypanotolerance Center,
PMB 14,Banj!al,
Gambia(Received
6 March1996; accepted
14August
1997)
Summary - A total of 226 651
fertility
records ofdairy
cows obtained from 1980 to1988 was studied in order to determine the environmental and
genetic
factorsaffecting
thereproductive performance
of Holstein cows under Cuban conditions.Only
43.9% ofthe inseminated females were pregnant at first service;
however,
for heifers this valuewas 63.1%. The seasonal
variability
washigher
for heifers and forprimiparous
than for olderlactating
cows. The bestperformance
was found fromFebruary
toApril,
whereasduring
the hot and humid summer(July
toSeptember)
poorer results were obtained.Age
atcalving
or number ofcalvings
was another important environmental source ofvariation: the earlier the
calving
the poorer is the nextreproductive performance.
Thegenetic analyses
were made withincalving
number with the REMLprocedure.
For heifers(226
sires,
45 575records)
theheritability
and thegenetic
coefficient of variation were:2.26 and
10.94%,
3.24 and11.24%,
and 3.04 and 6.19% for conception rate(CR),
numbers of services per conception(SG)
and conception status(CS
=1/SG),
respectively.
For firstcalving
females(280
sires,
43 647records)
the results were: 1.94 and15.93%,
3.25 and12.80%,
and 3.47 and 9.47% forCR,
SG andCS, respectively.
For the second and thirdcalving,
the results were poorer. For thecalving
interval anddays
open, the heritabilitieswere between 1.86 and 4.64%. The results of SG were selected as the best and more useful
traits
showing high genetic
correlations(> 0.60)
for the same traits in differentcalving
number.Holstein cattle breed
/
reproduction traits/
genetic parameters/
tropical conditionsRésumé - Facteurs génétiques et environnementaux intervenant sur les performances
de reproduction des vaches Holstein à Cuba. Au total 226 651
enregistrements
defertilité
de vaches laitières obtenus de 1980 à 1988 sontanalysés
en vue de déterminer lesfacteurs génétiques
et environnementaux intervenant sur lesperformances
dereproduction
de vaches Holstein dans les conditions cubaines. Seulement
43,9
%des femelles
inséminéessont gestantes à la
première insémination,
alors que pour lesgénisses
ce taux est de63,1
%.La variabilité due à la saison
apparaît plus
élevée chez lesgénisses
etprimipares
que chezles vaches
plus âgées.
Les meilleurs résultats sont obtenus defévrier
à avril, alors queles
plus
mauvais sont observés durant l’été(juillet
àseptembre),
qui est chaud et humide dans les conditions cubaines.L’âge
auvêlage
et le rang devêlage
sont aussid’importantes
sources environnementales de variation. Plus le
vêlage
estprécoce, plus
lareproduction
suivante est mauvaise. Les
analyses génétiques
ont été réalisées intrarang devêlage
enutilisant une méthode REML. Pour les
génisses
(226
pères,
45 575performances),
les héritabilités etcoefficients
de variationgénétiques
sont de 2,26 et 10,9l,%,
de 3,24 et11,24 % et de 3,04 et 6,19 % respectivement pour le taux de conception
(CR),
le nombre d’inséminations parfécondation
(SG)
et l’état degestation
(CS
=1/SG).
Pour lesprimipares
(280
pères, 43647
performances),
ces résultats sont de 1, 94 et 15,93%,
de3,25 et 12,80 % et de 3,47 et 9,47 % respectivement pour
CR,
SG et CS. Pour les vachesau deuxième et troisième
vêlages,
les estimations sontplutôt inférieures.
L’intervalleentre
vêlages
et la durée entrevêlage
etfécondation
ont des héritabilités estimées variant entre1,86
et 4,64 %. Les résultatsrelatifs
au nombre d’inséminations par gestation(SG)
conduisent à considérer ce critère comme le meilleur et le
plus efficace
pour lasélection,
manifestant
par ailleurs uneforte
corrélationgénétique
(>
0,60)
entre rang devêlage
pource critère.
race bovine Holstein
/
performances de reproduction/
paramètres génétiques/
conditions tropicales génétiquesINTRODUCTION
Milk
production
is the main cattlegoal
in Cuba. Great amounts of resourceshave been
used,
notonly
in construction of cattle barns andinfrastructure,
but also thousands of Holstein females have beenimported
from Canada. A nationalbreeding
plan
(NBP)
was established in1964,
in which artificial insemination(AI)
played
animportant
role incrossbreeding
between native Zebu cattle and Holstein sires. Thegeneral
strategy
and some results of NBP are offered inAnonymous
(1978)
and Prada(1984).
The
population
ofpurebred
Holstein cows isrelatively
large
(more
than 100 000heads)
and it is veryimportant
toanalyze
thegeneral
performance
of all traits of economicimportance
in order toimprove
the nationalbreeding
scheme. For milkproduction
and itsconstituents,
ananalysis
was madeby
De losReyes
(1985)
for several environmental factors. The main
genetic
parameters
werereported
by
Guerra et al
(1987),
whereas someaspects
ongenotypic
x environmental interaction and its role in the estimation of sirebreeding
value werepresented by
Men6ndezBuxadera and Guerra
(1981)
and Men6ndez Buxadera et al(1989).
According
to the resultspreviously
mentioned,
it could beconcluded,
regardless
of thestressing
environmental factorsaffecting dairy
traits,
that a veryimportant
For the last 15 years, a
great
number of papers has beenpublished
withrespect
togenetic
aspects
ofreproductive performance
ofdairy
cattle(Janson,
1980;
Hansenet al
1983; Jansen, 1986;
Weller1989).
Ingeneral
terms,
there is a consensus that alarge
number of traits related toreproduction
shows lowheritability
(lower
than10%),
but ahigh
genetic
variability.
Considering
this fact and also the economicimportance
offertility,
certain traits ofreproductive
performance
should be considered in the selection criterion(secondary traits)
for abreeding
scheme.Unfortunately,
undertropical
conditions almost no research related to thistopic
has been conducted. For this reason, astudy
of thegenetic
and environmentalaspects
ofreproductive performance
of Holstein cattle in Cuba was carried out and the main results will bepresented
in this paper.MATERIALS AND METHODS
Available data
A total of 270 000 individual records of Holstein cows
calving
fromJanuary
1980to December 1988
throughout
thecountry
was available for thisstudy.
These datasets
belong
to asystem
developed
at the National Center for CattleRecording
(CENCOP)
to maintain the control of the Holstein as a pure breed but also someimportant
reproductive
data have been collected: date of pregnancy andcalving;
registration
number of the cows and sire of thecalf;
number of insemination services in which the cow was
pregnant;
herd
code;
results of
calving:
abortion - if
gestation period
was less than 260days;
stillbirth or not - if
gestation period
was between 260 and 295days;
sex of the calf - no abortion.Taking
into account the dataavailable,
aprocedure
was conducted in which thepermanent
file of identification of each animal maintained at CENCOP wasmerged
with the
reproductive
file mentionedpreviously
in order to obtain theregistration
number of the sire of the cow and birth date of the cow.As a consequence of this process, the new data set has a total of 232 291 records
with the information of each cow.
The number of
calvings
was not available in theoriginal
file,
so it was decidedto
generate
according
to age atcalving.
Table I shows thegeneral
characteristics of the definitive data set.Only
Holstein sires born in Cuba and with a minimum of 20daughters
in aspecific calving
and distributed in at least five herds were considered forgenetic
l7raits
The
following
reproductive
traits were studied:number of services per pregnancy
SGi;
conception
statusCS
i
= 100 !(1/SG
i
);
rate of
conception
for first servicesCR
i
= ( 100
topregnant
at firstservice,
0otherwise);
calving
interval(in
days),
CI
i
(i :
number ofcalving);
interval betweencalving
and pregnancy(in
days)
DO
i
(i:
number ofcalving).
Records
ending
with anabortion,
as well as records outside of the range 300-730days
for CI and 20-450days
for DO were deleted. The first threeCl
i
andDO
i
were
analyzed.
With thelogical
exception
ofDO
i
andCi
i
,
allreproductive
traitsare determined for any value of i
(between
0 and4).
Management
systems
The
organization
of cattleproduction
in Cuba ismainly
based onlarge
stateenterprises
(more
than 10 000heads),
which arefairly
uniform withrespect
to structure andorganization.
Thedairy
units have around 200 females which aremilked twice
daily
withmilking
machines. From 10 am to 4 pm, all cows arekept
indoors where
they
receiveforage
orsilage
andwater,
and graze the rest of thetime. Inseminations are conducted
early
in themorning
or late atnight
and the service bulls are selectedyearly
according
to aplan
for eachenterprise.
As arule,
between two and five service bulls are used at the same time in each herd.
Pregnancy
diagnosis
is madeby
rectalpalpation
(after
60-90days
ofinsemination,
by
aspecific
technician).
All the individual records of each animal are maintained at theunit,
and once a month an officialinspector
from CENCOP visits the herd in order toestimate milk
yield
of each cow in eachmilking.
All data are sent to CENCOP once a month.Statistical
procedures
where p is the
general
mean;H
i
is a fixed effect of a combination of herd andyear which was
absorbed;
M
j
is a fixed effect of month ofcalving
(or
month ofpregnancy)
for j
=1, ..12; A,!
is a fixed effect of number ofcalvings
(or
age atpregnancy)
for k= 1, ..4;
ei!!1 is a random residual.This model was
applied
in order to determine themagnitude
of the fixed effects of certain environmental factorsaffecting
eachdependent
variable.Age
atcalving
was considered to be a factor. Solutions for age and months were estimated after
constraining
the last level of each factor to zero.The estimation of
genetic
parameters
was theobjective
of the second mixedmodel which has the
following
matrix notation:where: Y is a vector of
observations;
(3
is a vector of fixed effectsincluding
age andherd-year-season
ofcalving
(natural trimester);
s is as vector of random sire effects and e is a vector of randomresiduals,
and X and Z are incidence matrices.The
following
assumptions
were made:The
QS
and
Q
e
were
estimatedby
restricted maximum likelihood(REML)
(Patterson
andThompson,
1971).
Thegeneral
statisticalproperties
anddescription
of this method of variance
components
are well illustratedby Kennedy
(1981),
Dempfle
et al(1983)
and Lin and McAllister(1984).
The variancecomponents
estimated forSG
i
were used forbreeding
value estimation(EBV)
through
the BLUPprocedure
with a mixed model similar to model2,
but with the age atcalving
as acovariable. The
computer
program wasdeveloped by
Caleyo
(1989)
and wasapplied
within
calving
number. Therelationship
matrix was not considered.The
genetic
correlation(Rg)
betweenSG
i
was estimatedby
two methods. The firstprocedure
waspublished by
Calo et al(1973)
and was very wellpresented by
Blanchard et al
(1983)
and is based on theweighted
covariance between estimatedEBV
I
;
in that case,only
those sires with more than 70 effectivedaughters
oneach
calving
were considered. The second estimation ofRg
was based in a REMLprocedure
with a model similar to model 2 butusing
theexpected
components
of the varianceof
a new traitSG
T
=(SG
i
+SG
i+i
).
In order to fulfill theseconditions,
anew data set was formed with those cows with records on
SG
i
inadjacent
calvings.
RESULTS
Environmental effects
The results of the statistical
analysis
according
to model 1 show veryhighly
significant
effects(P
<0.001)
for the different factorsincluded; however,
the determination coefficient(R
2
)
of the model was between 9.2 and12.4%
for alltraits evaluated in heifers and first
calving
stages.
For older animals(more
thantwo
calvings)
theR
2
was
between 3.6 and26.9%.
In all cases, thehighest
R
z
was
obtained for
SG
i
and the lowest forCR
i
.
The solutions for month effects on
heifer, first,
second and thirdcalving
con-ception
status(CS
i
)
are shown infigure
1.Although only
CS
i
ispresented,
thegeneral
pattern
was the same for the rest of the characters. The best results wereobtained in March and
April
(lower
SG
i
,
andhigher
CR
i
andCS
i
),
whereas thepoorest
fertility
rate was inSeptember
and October.Plotting climatological
data on the samefigure
shows the very evidentrelationship
between the hot and humidsummer and a lower
reproductive
performance,
and therelationship
between thewinter and the less humid
period
fromJanuary
toApril
and the best results forCSi, CRi
andSGi.
Concerning days
open(DO
i
)
andcalving
interval(CI
i
),
month effects were thesame as for
CS
i
,
CR
i
and,
SG
i
which was asexpected. However,
the mostimportant
component
ofDO
i
andCI
i
is the interval betweencalvings
and first service and these characters were not available in our datasets,
so no more details can beprovided
on these traits.The year effect was
highly significant
(P
<0.001)
for the main traits studied. The solutions for each characterexpressed
as deviations from the last year areshown in table III. In
general
terms,
during
theperiod
of timerepresented
in ourdata
sets,
apositive
trend inreproductive performance
of our Holstein females wasfound;
however,
even with thesechanges
anoptimum
or nearoptimum
level offertility
is never reached. Theanalysis
of the effect of years was made also withincalving
number and the samepattern
was foundexcept
inheifers,
which showedThe effect of age or number of
calving
on thedependent
variables washighly
significant
(P
<0.001).
This wasexpected according
to the information offeredin table II. In
general,
thereproductive performance
decreases as the number ofcalving
increases as a consequence of cumulative stress due to lactation andprevious
reproductive
disorders. When data wereanalyzed
withincalving
number,
the trendof age effects was
negative,
so the younger thecalving
is reached the poorer is thenext
reproductive
performance
oflactating
females.Genetic effects
The results of the mixed model show a
highly significant
effect(P
<0.001)
ofsires for all traits. The
heritability
(h
2
)
for each character and variancecomponent
estimatedby
REML arepresented
in tableIV,
where the additivegenetic
coefficientof variation
(CVg)
is included.For
CR
i
andCS
i
,
thegenetic
variance was more or less the same for differentcalvings,
with theexception
of secondcalving
in which anunexpected
result wasfound. For
DO
i
andCl
i
,
anopposite
pattern
was found and a clear reduction inthe
genetic
variance was obtained for older cowscompared
toprimiparous
cows.The
genetic
variance forSG
i
increased 2.8 times for firstcalving
withrespect
toresults in
heifers; however,
for second and thirdcalving
the estimates were lower.The total
phenotypic
variance increases whenestimating
in heifers to thirdcalving.
As a consequence of theseparticular
trends in both variancecomponents,
theh
2
for all traits was
higher
for heifers and firstcalving.
The same results were obtainedfor
CVg.
Concerning
the number ofreproductive
characters available it would be necessaryto
perform
a certaintype
of discrimination. In thiscontext,
it will be veryimportant
to take into account not
only
the value ofh
2
and
CVg,
but otherpeculiarities,
such as facilities forrecording
andmultiple objectives
in theprincipal
factorslimiting
the level ofproductivity
ofpopulations.
In this sense, it will be veryuseful to conduct a relative
comparison
among somefertility
parameters
in differentpopulations
of Holstein cows(table V).
Before 100days
aftercalving
there is nota clear difference among the
populations
ofpercentage
of femalesinseminated,
which is very
important
to consider because theclimatological
conditions,
systems
of
management
and level offeeding
arequite
different in the three countries. The realproblems
emerge when we look at thepercentage
ofpregnant
females before 100days
aftercalving. According
to thiscomplete
relativecomparison
andtaking
into account the results of Caral et al(1984),
whoreported
thatonly
43%
of cowsnot
pregnant
at first servicepresented
second heat in a normalperiod
oftime,
it can be concluded that at least in female Holstein
populations,
limiting
factorsare
closely
related to the number of services perconception
(SG
i
).
Together
with thisadvantage,
this character is related to first serviceconception
rate,
is easy torecord under field conditions in heifers and
lactating
cowsand, furthermore,
it will be useful for other purposes such as sirefertility
evaluation; thus, SG
i
will be thepreferred
trait in ourbreeding objectives.
However,
it is necessary to determine theThe
general
pattern
of thisstudy
(table VI)
shows that there are medium tohigh
genetic
associations betweenSG
i
at differentcalvings.
The results were poorer withnon-consecutive records in
comparison
toadjacent
ones. TheRg
estimatedby
the covariance ofEBV
I
washigher
than the results ofREML; however,
the differenceswould not
suggest
that the samegenetic
bases exist for this trait measured atDISCUSSION
Unfortunately,
there are not many references available onreproductive performance
of Holstein cattle in the
tropics.
However,
it is obvious from our results that the levelis very low
(see
tableII).
According
to Roman Ponce(1992)
this is thegeneral
trendin
tropical
conditions and this lowfertility
rate of cattlerepresents
theprincipal
limiting
factoraffecting
theproductivity
of cattle in theseregions.
The seasonal variation obtained in these results is similar to those
patterns
reported
in thesubtropical regions
of Mexico and Florida(Ingraham
etal, 1974;
Thatcher et
al,
1984)
and in the very hot and arid environmental conditions of Arizona(Monty, 1984)
and Israel(Heimann,
1982;
Ron etal,
1984).
Many
studies have been conducted in order tostudy
the role of heat stress in the summer on theproductive
andreproductive performances
of cattle in that area, with theobjective
ofreducing
thedepressive
effects with a newmanagement system.
According
toThatcher
(1974),
Thatcher et al(1984),
Monty
(1984)
and Wazdauskas et al(1986),
the maximumtemperature
after insemination is one of the main factorsaffecting
the
reproductive performance
of Bos taurus cattle intropical
countries.High
temperature
causes acomplete
hormonalimbalance,
which in turn maychange
the flow of nutrients to theuterus,
and at the same time raises the uterustemperature.
This mechanism contributes to
creating
a more hostile ’uterus environment’ andincreases the
probability
offertility
failure orsubsequent
embryo
death. Infigure
1 itcan be observed that the
magnitude
of the month effect is very intense for all cattlecategories; however,
it would be evident that this environmental stress was twiceas
high
for heifers and firstcalving
females
as for the rest of the cows. Infact,
this behavior iscontradictory
in the literature(Thatcher,
1974;
Thatcher etal,
1984),
according
to which the olderlactating
females must be more variable and moresensitive to heat stress. It is
possible
tospeculate
on thisapparent
paradox.
Whenan
adequate
level offeeding
andmanagement
isavailable,
the liveweight
at firstsuch
conditions,
thevariability
offertility
traits in heifers and firstcalving
females can be less affectedby
heatstress;
however,
this is very far from our conditions.The
developement
andbody weight
curves of Holstein females in Cuba are poorerthan those
expected
for this breed(Men6ndez
Buxadera etal,
1983);
on average ourfemales reach
approximately
400kg
liveweight
in the middle of firstcalving,
whichmeans that this
type
of animal is less mature(in
the sense ofweight).
Therefore,
ahigher
percentage
of the nutrients received must be used for thegrowing
process.This mechanism could account for the
higher variability
andsensitivity
of younger females under our conditions.All these environmental factors
require
a more detailed andprofound
researchin order to determine the
physiological
mechanism.However,
thepractical
conse-quences of the seasonal variation in
reproductive performance
of Holstein femalesunder our
tropical
conditions could be used. Forinstance,
these results show thatfrom
September
toJanuary
around60%
of the cows(not heifers)
calving
in thatperiod corresponded
to the season ofhigher fertility
rate(see
fig
1).
According
tothis
pattern,
it would behighly
recommended to inseminate themajority
of the females fromJanuary
toApril
with semen of Holstein sires ofhigher breeding
value for milkproduction
(principal
traits in ourbreeding
scheme).
Thepreliminary
es-timates of such a
policy
show animprovement
of not less than20%
ingenetic
potential
in our femalepopulation
withrespect
to the normalpractice
of bulls in service all year round.According
to our results it was clear that theh
2
for
differentfertility
traits werelow
(< 5%)
and similar to manyreports
on thissubject
(see
review of Men6ndezBuxadera,
1993);
however,
thegenetic
variability
(table
IV)
washigher
than mostof the results in the literature
(see
Janson, 1980; Berger
etal,
1981;
Raheja
etal,
1989 for SG and
Baptist
andGravert,
1973;
Janson, 1980; Jansen,
1986 fornon-return rate as a trait related to
CR).
This is due to the reducedculling
rateapplied
in our female
population,
so these data show acomplete picture
of the realgenetic
variability
in thereproductive performance
of Holstein cattle under thetropical
conditions of Cuba. Thepotential
of thisvariability
has not been consideredby
many researchers on account of the lowh
2
value.According
toMaijala
(1987)
thisis a
pessimistic point
of viewregarding
thepossibilities
ofgenetic improvement
forfertility
traits.For
DO;
andCI
i
there was a clearreducing
h
2
pattern
when the number ofcalving
increased. Infact,
this trend iscontrary
to the resultspublished by
Berger
et al
(1981),
Hansen et al(1983),
Jansen(1986)
andStrandberg
and Danell(1988)
who obtained a small increase inh
2
andCVg
in older females. For the rest of the traits it was evident that thesegenetic
parameters
werehigher
in the first twostages
(heifer
and firstcalving),
which is incorrespondence
to Van Raden et al(1987),
Raheja
et al(1989)
and Weller(1989).
The results for the secondcalving
werequite
low and no clear
explanation
was found.As a matter of
fact,
thegeneral
pattern
forhigher variability
in younger femalesin
comparison
tomultiparous
cows could be a veryimportant advantage
in ourbreeding
scheme,
since the EBV for characters of thereproductive complex
must be determined asearly
aspossible,
andhigher genetic
variability
isequivalent
tomajor
possibilities
for selection andbreeding.
This is trueonly
if the traits evaluated in heifers and firstcalving
females were in closerelationship
with the same charactersThe information available on that
subject
iscontradictory. European
reports
(Janson,
1980; Distl, 1982; Jansen,
1986)
showed that the samereproductive
char-acters in both
types
of femalespresent
the samegenetic
base so the results ofheifers and
primiparous
cows can be used for sire evaluations. Anotherrecommen-dation was made
by
North American researchers(Hansen
etal,
1983;
Raheja
etal,
1989;
Van Raden etal,
1989)
whoreported
lowergenetic
correlations(Rg
<0.30)
although
thetendency
was the same.According
to our results(table VI)
thegenetic
correlation(Rg)
forSG
i
indifferent
calvings
washigher
than 0.60 whenRg
was estimatedby
theweighted
covariance between EBV of the
sire,
whereasRg
> 0.49 when the REMLprocedure
was used. Both estimates are difficult to compare because the value of
Rg
depends
on thequality
of the data set.However,
great
differences were not observed. Ourpoint
of view is in favor of the results obtainedthrough
theEBV,
of thesire,
becausein REML the same
design
matrix was used and thecomputing requirement
wasgreater.
According
to our results it ispossible
to conclude that the samegenetic
basesexist between certain
fertility
traits measured in differentstages
of thereproductive
life of cows. Thisaspect
will be veryimportant
for sire evaluation purposes sincethe records of heifers and first
calving
could be used in this sense.CONCLUSIONS
This
study
showspositive
yearly
trends in the level ofreproductive performance
of Holstein cattle under Cubanconditions,
nevertheless,
thegeneral
mean wasquite
low.
Calving
number and month ofcalving
were theprincipal
environmental factorsaffecting
thefertility
rate of Holsteinfemales;
thisaspect
was more critical in heifersand
primiparous
incomparison
to olderlactating
cows.According
to these results the bestperformance
was achieved fromFebruary
toApril,
corresponding
to thewinter season, while
during
the hot and humid summer(July
toSeptember)
verypoor results were obtained. This seasonal
pattern
must beinterpreted
as ageneral
reproductive
behavior of Holstein cattle in thetropics,
which could be used underpractical
conditions.From a
breeding
point
ofview,
ourstudy
confirms that theh
2
of the characterscorresponding
to thereproductive complex
shows theexpected
low value(h
2
<
5%).
However,
thegenetic
coefficient of variation washigher
than the valuereported
for
developed
andtemperate
countries(see
MenendezBuxadera,
1993),
soplenty
of space is available for
breeding.
The number of services perconception
(sG
i
)
was selected as the character more related to our
limiting
factoraffecting
thereproductive
performance
of this breed undertropical
conditions.Furthermore, SC
i
could be used for various purposes and it will bepossible
to measure this at anearly
age
(heifers).
In this sense, therelationship
betweenSG
i
in heifers and firstcalving
females was 0.60 andhigher
than the 0.88 found between older cows, which allowsus to use all information available for
breeding
value estimation of AI sires.Taking
into account that theprocedures
used forRg
estimation could be affectedby
somebias,
it ishighly
recommended to use a morepowerful
statisticalprocedure
such as an individual multitrait animalmodel,
with different matrixdesign, although
theACKNOWLEDGMENT
The authors wish to express their
gratitude
to theircolleague
F M6nissier(Inra,
SGQA,
F 78352Jouy-en-Josas cedex,
France)
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