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Topic : Sire Evaluation
Dr S. Shanaz
SIRE EVALUATION
• Urgent need to increase production to meet the demand
• Application of various modern methodologies in selection and
breeding of livestock could be helpful
• Increasing the productivity through genetic improvement requires
adequate identification and intensive selection of genetically
superior sires
• A sire has a potential of serving 3/4th million cows and producing
1/4th million progenies. (AI and Cryopreservation of semen )
• Selection of bulls is of great importance in dairy herd improvement
• Maximizing genetic gain by sire selection,  method of estimating
breeding values unbiased and efficient
Sire Evaluation
• Breeding value refers to the average genetic effect of the
genes passed on by the individual to its offspring
• Estimated to know whether the individual is genetically
superior to other individuals or not for the trait
concerned
• Sire index: Sire’s production ,transmitting ability
estimated by mathematical means and expressed as a
single figure
• Simplest way to evaluate a bull is by his daughter’s
production alone (Edward, 1932)
• Disadvantage : It does not consider the probable
contributions of the dam
SI = Di = (1 / mi )Σ Dij
where,
• Dij = yield of jth daughter of the ith sire
• mi = number of dams mated to ith sire
Index would be subject to bias if the levels of production
of dams allotted to different sires were unequal
SIMPLE DAUGHTER AVERAGE INDEX
• Index (Yapp, 1925) based on the principle that two parents
contribute equally to genetic make up of the progeny
• Index overestimates the breeding value of a sire mated to set of
dams inferior on the average and underestimates if dams are
superior on average to the general level of herd
SI = 2D – M
where,
• D = average yield of daughters of the sire
• M = average yield of dams mated to the sire
• In Yapp’s formula, the potential transmitting ability can be
expressed in terms of 4% fat corrected milk.
EQUIPARENT / INTERMEDIATE / DAIRY BULL INDEX / YAPP’S
INDEX
REGRESSION INDEX OR RICE INDEX
• Regression (biological sense): Degree of relationship
between parents and offspring when used as a measure of
inheritance
• Rice proposed the index based on the fact that the overall
regression of the daughter’s records on those of their dams
was approximately 0.5
• This index simply regresses the equal parent index half way
Regression index = 0.5 (Equal Parent index) +
0.5 (Breed Average)
TOMAR INDEX
Index depends on dam-daughter comparison and on
simultaneous use of the merits of the dams and the
daughters over their contemporary herd averages
I = D + (De – Me)
Where,
De - daughter’s expected average = D x daughter’s
contemporary herd average
Me - dam’s expected average =
M x dam’s contemporary herd average
CORRECTED DAUGHTER AVERAGE INDEX / KRISHNA'S
INDEX
• Index (Krishnan, 1956) corrects the daughters’ average for the
influence of different production levels of dams sired by
different bulls on the basis of regression of daughters’ records
on dams.
• The term “b(M - A)” appearing in the index is correction for the
genetic superiority or inferiority of a set of dams allotted to the
sire over the herd average
 SI = D – b (M – A)
• where,
• D = daughter’s average; M = dam’s average; A = herd average
• b = regression coefficient of daughters’ yield on dam’s yield
• Under Indian conditions, evaluation of bulls is made with
information from a very few daughters and from records
subjected to serious environmental differences
• Sundaresan (1965) gave two methods one for sire evaluation at
farm level and another for key-village
• The farm method takes dam-daughter records in to consideration
• SI = µ + n / (n + 12) (D – CD) – b (M – CM)
DAIRY SEARCH INDEX / SUNDARESAN INDEX
SUNDARESAN INDEX
• For key-village level the dam’s record is not available
so, he modified the formula as
SI = µ + n / (n + 12) (D – CD)
where,
 µ = herd average; n = number of daughters per sire
 D = average of daughters; CD = average of contemporaries of
daughters
 b = intra-sire regression of daughters on dam
 M = average of dams
 CM = average of contemporaries of dams
CONTEMPORARY COMPARISON
• Records made at different times need adjustments.: If changes are
significant
• Based on the comparison of average of the daughters of the bull
with average of the contemporary daughters of the same group but
sired by different bulls.
• Difference between the two averages was weighted for the number
of heifers in each sire group.
• Contemporary group will allow effective adjustment of major
environment effects
SI = µ + {n / n + k} (D - C)
• where,
• n = number of daughters;
• C = average of daughters’ contemporaries;
• k = ratio of error variance to sire variance
HERD-MATE COMPARISON
• Method (Henderson and Carter, 1957) compares each cow’s record with the
records of other cows milking in the same herd at the same time
• The total variation in age-adjusted milk production is due to sire (7%), herd (30%),
year/season (4%), sire X herd (2%), herd X year (14%) and residual (43%) effects.
• The herd, year and season variations account for about 50% of the total variation
in milk production
• Method eliminates the herd-year-season variation from the estimate of the sire
index
PD = [(ni / (ni + 20)] {Di - 0.9 (HMi – A) – A}
where,
PD = predicted difference
ni = number of daughters at the ith herd-mate level
Di = average of the daughters at the ith herd-mate level
HMi = average of the herd-mates at ith herd-mate level
• Method (Henderson et al., 1975) is mainly based on least-squares
method
• Performance records in selection index are adjusted previously for
all known sources of environmental bias using adjustment factors
• A model is constructed involving all the sources of individuals
performance represented in a mathematical form
• Basic steps involved in BLUP estimates are as an expression
(model) that describes an individual’s performances in terms of all
factors, taken into account i.e., herd-year-season model will be
BEST LINEAR UNBIASED PREDICTION (BLUP)
Yijk = µ + fi + sj + eijk
where,
 Yijk = measurement on the kth progeny of the jth sire
born in the ith herd- year- season
 µ = over all mean
 fi = effect of the ith herd- year- season
 sj = effect on the jth sire born
 eijk = residual error
BLUP is the best method for evaluating the breeding value of bulls
and rank the sires according to their genetic merit because of the
following reasons:
• Corrects the data automatically for all known non genetic sources
• Estimates simultaneously all the factors concerned
• Uses available a prior information more efficiently and more
flexibly
• Maximizes the correlation between predictor and predict
• Provides an estimate of response to selection for groups of
animals born in different years
• Accounts for complications such as non-random mating, genetic
and environmental trends over time, herd differences in the
average breeding value of dams and bias due to selection and
culling
• Estimates also the breeding value of individual having no records.
Sire evaluation

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Sire evaluation

  • 1. Topic : Sire Evaluation Dr S. Shanaz
  • 2. SIRE EVALUATION • Urgent need to increase production to meet the demand • Application of various modern methodologies in selection and breeding of livestock could be helpful • Increasing the productivity through genetic improvement requires adequate identification and intensive selection of genetically superior sires • A sire has a potential of serving 3/4th million cows and producing 1/4th million progenies. (AI and Cryopreservation of semen ) • Selection of bulls is of great importance in dairy herd improvement • Maximizing genetic gain by sire selection,  method of estimating breeding values unbiased and efficient
  • 3. Sire Evaluation • Breeding value refers to the average genetic effect of the genes passed on by the individual to its offspring • Estimated to know whether the individual is genetically superior to other individuals or not for the trait concerned • Sire index: Sire’s production ,transmitting ability estimated by mathematical means and expressed as a single figure
  • 4. • Simplest way to evaluate a bull is by his daughter’s production alone (Edward, 1932) • Disadvantage : It does not consider the probable contributions of the dam SI = Di = (1 / mi )Σ Dij where, • Dij = yield of jth daughter of the ith sire • mi = number of dams mated to ith sire Index would be subject to bias if the levels of production of dams allotted to different sires were unequal SIMPLE DAUGHTER AVERAGE INDEX
  • 5. • Index (Yapp, 1925) based on the principle that two parents contribute equally to genetic make up of the progeny • Index overestimates the breeding value of a sire mated to set of dams inferior on the average and underestimates if dams are superior on average to the general level of herd SI = 2D – M where, • D = average yield of daughters of the sire • M = average yield of dams mated to the sire • In Yapp’s formula, the potential transmitting ability can be expressed in terms of 4% fat corrected milk. EQUIPARENT / INTERMEDIATE / DAIRY BULL INDEX / YAPP’S INDEX
  • 6. REGRESSION INDEX OR RICE INDEX • Regression (biological sense): Degree of relationship between parents and offspring when used as a measure of inheritance • Rice proposed the index based on the fact that the overall regression of the daughter’s records on those of their dams was approximately 0.5 • This index simply regresses the equal parent index half way Regression index = 0.5 (Equal Parent index) + 0.5 (Breed Average)
  • 7. TOMAR INDEX Index depends on dam-daughter comparison and on simultaneous use of the merits of the dams and the daughters over their contemporary herd averages I = D + (De – Me) Where, De - daughter’s expected average = D x daughter’s contemporary herd average Me - dam’s expected average = M x dam’s contemporary herd average
  • 8. CORRECTED DAUGHTER AVERAGE INDEX / KRISHNA'S INDEX • Index (Krishnan, 1956) corrects the daughters’ average for the influence of different production levels of dams sired by different bulls on the basis of regression of daughters’ records on dams. • The term “b(M - A)” appearing in the index is correction for the genetic superiority or inferiority of a set of dams allotted to the sire over the herd average  SI = D – b (M – A) • where, • D = daughter’s average; M = dam’s average; A = herd average • b = regression coefficient of daughters’ yield on dam’s yield
  • 9. • Under Indian conditions, evaluation of bulls is made with information from a very few daughters and from records subjected to serious environmental differences • Sundaresan (1965) gave two methods one for sire evaluation at farm level and another for key-village • The farm method takes dam-daughter records in to consideration • SI = µ + n / (n + 12) (D – CD) – b (M – CM) DAIRY SEARCH INDEX / SUNDARESAN INDEX
  • 10. SUNDARESAN INDEX • For key-village level the dam’s record is not available so, he modified the formula as SI = µ + n / (n + 12) (D – CD) where,  µ = herd average; n = number of daughters per sire  D = average of daughters; CD = average of contemporaries of daughters  b = intra-sire regression of daughters on dam  M = average of dams  CM = average of contemporaries of dams
  • 11. CONTEMPORARY COMPARISON • Records made at different times need adjustments.: If changes are significant • Based on the comparison of average of the daughters of the bull with average of the contemporary daughters of the same group but sired by different bulls. • Difference between the two averages was weighted for the number of heifers in each sire group. • Contemporary group will allow effective adjustment of major environment effects SI = µ + {n / n + k} (D - C) • where, • n = number of daughters; • C = average of daughters’ contemporaries; • k = ratio of error variance to sire variance
  • 12. HERD-MATE COMPARISON • Method (Henderson and Carter, 1957) compares each cow’s record with the records of other cows milking in the same herd at the same time • The total variation in age-adjusted milk production is due to sire (7%), herd (30%), year/season (4%), sire X herd (2%), herd X year (14%) and residual (43%) effects. • The herd, year and season variations account for about 50% of the total variation in milk production • Method eliminates the herd-year-season variation from the estimate of the sire index PD = [(ni / (ni + 20)] {Di - 0.9 (HMi – A) – A} where, PD = predicted difference ni = number of daughters at the ith herd-mate level Di = average of the daughters at the ith herd-mate level HMi = average of the herd-mates at ith herd-mate level
  • 13. • Method (Henderson et al., 1975) is mainly based on least-squares method • Performance records in selection index are adjusted previously for all known sources of environmental bias using adjustment factors • A model is constructed involving all the sources of individuals performance represented in a mathematical form • Basic steps involved in BLUP estimates are as an expression (model) that describes an individual’s performances in terms of all factors, taken into account i.e., herd-year-season model will be BEST LINEAR UNBIASED PREDICTION (BLUP)
  • 14. Yijk = µ + fi + sj + eijk where,  Yijk = measurement on the kth progeny of the jth sire born in the ith herd- year- season  µ = over all mean  fi = effect of the ith herd- year- season  sj = effect on the jth sire born  eijk = residual error
  • 15. BLUP is the best method for evaluating the breeding value of bulls and rank the sires according to their genetic merit because of the following reasons: • Corrects the data automatically for all known non genetic sources • Estimates simultaneously all the factors concerned • Uses available a prior information more efficiently and more flexibly • Maximizes the correlation between predictor and predict • Provides an estimate of response to selection for groups of animals born in different years • Accounts for complications such as non-random mating, genetic and environmental trends over time, herd differences in the average breeding value of dams and bias due to selection and culling • Estimates also the breeding value of individual having no records.