Hello, my name is Ewa Salamończyk and I work at the Institute of Animal Science and Fisheries.
Faculty of Agricultural Sciences at the University of Siedlce.
I would like to present examples with solutions for the topic of optimizing matching plans.
In breeding strategies using cattle as an example.
Example first.
Improvement of one production trait is carried out in a dairy cattle herd - milk yield in lactation.
Three cows with known breeding values were allocated for mating.
Let's assume that there are seeds from four bulls with known breeding values and varying prices,
And each cow will be paired with a different bull.
Assumptions.
1 kg of milk equals 2 zł.
With a 1% increase in inbreeding, milk production during lactation decreases by an average of 16 kg.
Order of operations.
First, the net present value is determined as the profit associated with obtaining offspring from each pairing.
Secondly, all possible pairs of available individuals are created.
The size of the set is determined by the number of females.
Thirdly, the net present value of the descendants of each pair in the set is summed up.
At the end, a cow-bull set is chosen to guarantee the highest profit.
Data for the first example.
3 cows with known breeding value in kilograms and 4 bulls with known breeding value and provided semen cost.
Pedigrees of cows and bulls.
Solution for choosing the cow-bull set to maximize profit.
We use the following formula to calculate the net present value for computing the profit of each cow-bull set.
Half of the breeding value sum of male and female from a selected set reduced by the size of inbreeding depression.
the offspring from this set and the cost of purchasing semen from this bull.
To calculate the level of inbreeding depression, you need to calculate the inbred offspring from a given mating using the following formula.
Where N1 is the number of paths from a common ancestor to one parent, and N2 is the number of paths from a common ancestor to the other parent of the proband.
from F-alpha to a common ancestor.
The inbreeding coefficient of offspring from mating cow A and bull I is 0.
The structural pedigrees of the cow A and bull I do not have common ancestors.
Structural pedigrees of cow B and bull I do not have common ancestors.
The inbreeding coefficient of the offspring of a cow C and a bull I is 0.
The inbreeding coefficient of the offspring of cow A and bull II is 0.
The inbreeding coefficient of the offspring of cow B and bull II is 0.3125.
Pedigrees of the cow and bull are my common ancestor.
The inbreeding coefficient of the offspring of cow C and bull II is 0.0625.
The inbreeding coefficient of the offspring of cow A and bull III is 0.03125.
The inbreeding coefficient of the offspring of cow B and bull III is 0.025.
The inbreeding coefficient of the offspring of cow C and bull III is 0.125.
The inbreeding coefficient of the offspring of cow A and bull IV is 0.025.
The calculated coefficients of inbreeding for the offspring of each pair are listed in the table.
The next step is to calculate the net present value NPV.
indicating the magnitude of profit associated with producing offspring from each pairing.
This is how the net NPV values ​​are calculated.
Then all possible pairs of individuals are created using the available individuals.
The size of the set is determined by the number of females.
The NPV is summed up, i.e. the net present value, of the offspring of each PAR making up the set.
The last element is the selection of cow-bull sets guaranteeing the highest profit.
In conclusion, the highest profit can be obtained by mating the following visible sets of cow bull.
Example two.
Please create an individual mating plan for a black and white Polish Holstein-Friesian cow.
Provide suggestions for matching three bulls from selected companies' bull catalogs.
Using the latest estimates.
Corrective alignment to improve the structure of the rear suspension.
The cow's data and pedigree are visible on the slide.
The cow received a total of 79 points in the assessment of type and conformation, therefore it was rated fairly well.
The udder received 77 points.
Detailed information on the values of cultivated traits and sub-indices is shown here.
Index selection production functionality.
Solution of example two.
Use the latest catalogs with current bull evaluations.
These directories contain rankings of bulls evaluated conventionally.
or on daughters or genomically.
Here is the list of bulls being evaluated conventionally:
December 2023 Polish Holstein-Friesian cattle appraisal.
The buffalo were arranged in order of their functional production index.
Highest values and breeding values for production traits are also highlighted in colors.
and the highest subindex values.
Create a personalized plan for associating the sample.
Select 3 bulls from the catalog.
This is to be a corrective association that will aim to improve the structure of the exchange.
Replace the rear suspension.
We can start by using a selection of the best bulls.
[i.e., including subindex of gender, and specifically listing subindexes. ]
Referring to the subindex values, we can select bulls from positions 2, 3, and 6.
To thoroughly understand the breeding value of these individuals,
We find in the catalog cards of selected bulls.
and we analyze information from line charts about the price of cut.
especially in terms of potential improvement features
And their offspring.
Visible data of the griffin cow, position 3.
Here the cow's data is collected, position 2.
In the sixth position of the Czekan Mlek bullfight.
Therefore, after a detailed analysis, these three presented buffaloes.
Prices for custom sizes can be quoted upon request.
to the fathers of the next generation of cows.
Example 3. Please create an individual matching plan
for the same Polish Holstein-Friesian cow
Black and white varieties from the second example.
Please provide an association suggestion with two bulls.
selected from publicly available databases
Institute of Animal Science (State Research Institute)
Polish Federation of Cattle Breeders' Genetic Center
Milk Producers.
Corrective matching that aims to
Improving the longevity of offspring.
Solution of example three.
Using the public database of the Genetics Center.
Polish Federation of Cattle Breeders and Milk Producers
we can choose conventionally rated bulls
either by value or by ordering of values
Functional production selection index
and longevity.
Checking if the seed is available
Who can I order from?
The slides are arranged in order of level.
breeding value for longevity
Features included in the production functionality index.
Similarly to catalogs, after the initial selection of bulls
You can get acquainted with detailed data.
regarding the valuation of each bull
and compare several selected individuals.
Each bull has its own card,
where you can get to know, among other things, his pedigree.
This is the data of RORY's bull.
Here are the pedigrees of the cow and selected bulls.
from the database with the highest breeding value for longevity.
Therefore, the cow and selected bulls do not have common ancestors.
Therefore, they can also be selected for association.
Thank you for your attention.