STAGES

Formulas for Indexes

Traits in the postweaning analysis are Days to 250 lbs, Backfat, and Loin Eye Area. Traits in the reproductive analysis are Number born alive, Number weaned (number at 21 days), and Litter weight at 21 days. Other EPDs are calculated from these.

STAGES indexes are economic indexes. EPDs are combined with the economic values to calculate the indexes. A constant is added to the indexes so they will average 100.


First, here are the names of the EPDs and Indexes, and the Economic Values currently being used.

EPDs:

DAYS Days to 250 lbs
BACK Backfat, in.
LEA Loin Eye Area, in2
LBLEAN Pounds of Fat-Free Lean adjusted to a 250 lb live weight
FUG Feed/lb of gain
NBA Number Born Alive
NW Number Weaned
LW Litter Weight at 21 days, lbs
LBW Litter Birth Weight, lbs
DW Days to Weaning ( to reach a specific target BW )
DWTB Days from Weaning to Breeding
MBW Mean birth weight ,lbs

Indexes:

PWI PostWeaning Index for a terminal sire line
PWIMAT PostWeaning Index for a maternal line
TSI Terminal Sire Index
MLI Maternal Line Index
SPI Sow Productivity Index
NLPF 4 Number of litters per female
CNPD 1.90 Cost of nonproductive sow days
RBMP $.62 Base market price/lb live weight for a 48% fat-free lean carcass
RLFCST $.19 Labor and facilities cost/day
RFDCST $.12 Feed cost/lb of feed
ZMNDX $38.57 Value of a pig at weaning
SLWT 265 Target slaughter weight (lbs)
WTGAIN 250 Weight gained from weaning to slaughter
ZDAYS 170 Average days to 250 lbs
ZFUG 3.25 Average feed/lb gain (lbs)
VPW $38.57 Value of a pig at weaning
VPB $28.28 Value of a pig at birth
CPB $.35 Cost to process newborn pig
CLD $2.75 Cost/day for sow in farrowing and lactation
CLW $.06 Extra feed cost/pig
DWBAR 22.637 Average days to weaning (15 lb pigs weaned)
XST 10.4 Average size of standardized litter
WNM .11 Average preweaning mortality
XSTWNM 9.256 XST(1-WNM) = Average litter size at weaning
TWW 15 Target weaning weight (lbs)
XBW 3.2 Average birth weight (lbs)
ZLW 130.94 Average litter weight at 21 days (lbs)
ZPWI 24.88 Average PWI with zero EPDs
ZPWIMAT 6.928 Average PWIMAT
ZSPI 182.18 Constant for SPI (used so SPI will average 100)
ZMLI 157.06 Constant for MLI (used so MLI will average 100)
ZTSI -237.15 Constant for TSI (used so TSI will average 100)

Formulas used:

Let:

ZLBLEAN

Average pounds of lean

VALITS

Value index for terminal sire line

VALIML

Value index for maternal line

PIGVALTS

Value of a pig at 265 lbs for a terminal sire line

PIGVALML

Value of a pig at 265 lbs for a maternal line

X and VI

Intermediate variables

Postweaning EPDs output from the analysis are DAYS, BACK, and LEA. Then:

LBLEAN = -21.896*BACK + 3.005*LEA

FUG = .0146*DAYS - .02083*LBLEAN

For a maternal line, ZLBLEAN = 94
X = ZLBLEAN+LBLEAN
If X Description: greater than or equal to94 then X = 94.
If X Description: less than or equal to76.2 then VI = .918507 + .0068621*(X-76.2)
If X > 76.2 then VI = 3.433454 - (.112831*X) + (.001572*X2 ) - (.000006882*X3 )
VALIML = VI*1.0324

For a terminal sire line, ZLBLEAN = 92
X = ZLBLEAN+LBLEAN
If X Description: greater than or equal to94 then X = 94.
If X Description: less than or equal to76.2 then VI = .918507 + .0068621*(X-76.2)
If X > 76.2 then VI = 3.433454 - (.112831*X) + (.001572*X2 ) - (.000006882*X3 )
VALITS = VI*1.0324

PIGVALTS = SLWT*RBMP*VALITS

PIGVALML = SLWT*RBMP*VALIML

Reproductive EPDs output from the analysis are NBA, NW, LBW, DWTB, and LW. Then:
MBW = (33.28 + LBW+ 2.5*NBA)/(XST + NBA) - XBW
NW = NW + .77 *MBW
DW = [(XSTWNM+NW)*21.*(TWW-(XBW+2.2*MBW))/(ZLW+LW-(XSTWNM+NW)*(MBW+XBW))]-DWBAR


Indexes are:

SPI = (XSTWNM+NW)*VPW+(VPB-CPB)*NBA
            -(DWBAR+DW)*(CLD+CLW*(XSTWNM+NW))
            -[(NLPF-1)/NLPF] * (DWTB * CNPD)–ZSPI

PWI = PIGVALTS-RLFCST*(ZDAYS+DAYS)
            -WTGAIN*RFDCST*(ZFUG+FUG)-(ZMNDX+ZPWI)

TSI = (PWI+10.)*10. - ZTSI

PWIMAT = PIGVALML-RLFCST*(ZDAYS+DAYS)
            -WTGAIN*RFDCST*(ZFUG+FUG)-(ZMNDX+ZPWIMAT)

MLI = (XSTWNM+NW)*(ZMNDX+.5*PWIMAT)+(VPB-CPB)*NBA
            -(DWBAR+DW)*(CLD+CLW*(XSTWNM+NW)
            -[(NLPF-1)/NLPF] * (DWTB * CNPD)-ZMLI

With current mean of 50 for NPD, 21 d weaning and other means:
Litters per sow per year = [(365 – (50 + (2.3333 x DWTB))]/ 135
p/s/yr = [( 10.4 + NBA )( 1- .11) +  NW  ] x litters/sow/year

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