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FORMULA SHELF 20 of 370

The arithmetic behind the work: what to measure, what to type in, and what the answer comes out as. Every formula says what the symbols mean and gives a worked example, so you can check it against a job you have already done.

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Livestock 20 formulas

Average daily gain MOST USED
ADG (kg/day) = (final weight - starting weight) / days on feed
SYMBOLS · use actual liveweight gains, not estimated ones
UNITS · kg/day
HOW TO USE

The single number that tells you if a ration or a system is working. Weigh the animals, do it again in 30 days, and divide.

EXAMPLE

A lamb goes from 30 kg to 42 kg in 60 days = 0.2 kg/day.

gain adg growth weigh performance
Feed conversion ratio MOST USED
FCR = feed eaten (kg dry matter) / liveweight gain (kg)
SYMBOLS · a calf might convert at 4:1, a pig at 2.5:1, a lamb at 4:1
UNITS · kg feed per kg gain
HOW TO USE

How much feed you get back for every kilo you put in. A higher number means more feed per kilo of meat, and a bigger feed bill.

EXAMPLE

A calf eats 8 kg of feed to gain 2 kg: FCR 4:1.

fcr feed efficiency ration gain
Stocking rate in livestock units MOST USED
stocking rate (LU/ha) = (number of animals x LU factor) / hectares
SYMBOLS · 1 LU = one 450 kg cow, or about 10 ewe lambs, or 4 sows, or 100 poultry, or 2.5 horses
UNITS · livestock units per hectare
HOW TO USE

The fair way to compare a flock, a herd and a paddock. It also tells you whether you are about to overgraze.

EXAMPLE

100 ewe lambs at 0.1 LU each on 5 ha = 2 LU/ha.

stocking rate LU grazing paddock ewe
Dry matter intake as a percentage of liveweight MOST USED
intake (kg DM/day) = body weight (kg) x intake % / 100
SYMBOLS · 2% for a mature dry cow, 2.5-3% for a growing animal, 3.5% for a lactating cow, 2.5% for a ewe in late pregnancy
UNITS · kg DM/day
HOW TO USE

To size a ration. Get this wrong in either direction and the animal is either hungry or overfed, and you will not see which from the ration sheet.

EXAMPLE

A 500 kg cow at 3.5% needs 17.5 kg of dry matter a day.

intake dry matter cow sheep ration
Daily feed ration MOST USED
F = W x R / 100
SYMBOLS · F = feed per day (kg); W = live weight (kg); R = ration (% of bodyweight)
UNITS · kg per day
HOW TO USE

Multiply the animal's liveweight by the ration percentage, then divide by 100. A 600 kg cow on a 2.5% ration needs 15 kg of feed a day. Split between forage and concentrate as the ration sheet says.

EXAMPLE

600 kg cow x 2.5% / 100 = 15 kg feed per day.

QUICK CALCULATOR F = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

feed ration livestock cattle sheep pigs
Liveweight from heart girth MOST USED
W = G x G x L / 300
SYMBOLS · W = liveweight (kg); G = heart girth (cm); L = body length (cm)
UNITS · kg
HOW TO USE

Measure around the chest just behind the front legs (heart girth) and from the point of shoulder to the pin bone (body length), both in centimetres. Square the girth, multiply by length, divide by 300. Best for cattle; less accurate for very fat or very thin stock.

EXAMPLE

Girth 190 cm x length 150 cm: 190 x 190 x 150 / 300 = 1,805 kg estimate.

QUICK CALCULATOR W = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

liveweight cattle weighing girth
Body condition score and liveweight
condition score is a 1 to 5 scale; the liveweight a cow can carry is about (condition x 50) + 400 kg
SYMBOLS · score 1 = emaciated, 3 = good, 5 = obese; target 3.0 to 3.5 at calving and 2.5 to 3.0 at mating
UNITS · score and kg
HOW TO USE

A condition score tells you more than a weight, and it takes ten seconds. Handle the animal and look at the hooks, the hips, the tailhead and the ribs.

EXAMPLE

A cow scoring 3.0 can carry about 550 kg, and loses condition on the way to calving.

condition score weight cow ewe fertility
Calving interval
calving interval (days) = date of this calving - date of the last calving
SYMBOLS · the target is 365 days; every extra day is a lost day of milk and a heavier cow at the next calving
UNITS · days
HOW TO USE

Measure it, and aim to get it under 380. A long interval usually means the cow is losing condition before the bull goes in.

EXAMPLE

Calved 15 March and 20 March the next year = 370 days.

calving interval reproduction fertility cow
Carcass yield and dressing percentage
dressing % = (carcase weight / liveweight) x 100
SYMBOLS · a lamb is 45-55%, a pig 75-80%, a beef animal 55-65%
UNITS · %
HOW TO USE

The price of your stock depends on it. A heavy animal with a poor dressing percentage is not worth much more than a lighter one, and the killing sheet tells you which you have.

EXAMPLE

A 60 kg lamb with a 26 kg carcase = 43% dressing.

carcase dressing meat price lamb
Conception rate and calving rate
conception rate % = (cows confirmed in calf / cows served) x 100 ; calving rate % = (calves born alive / cows served) x 100
SYMBOLS · calving rate is always lower than conception rate, and the gap is the loss at calving
UNITS · %
HOW TO USE

Two different questions. Conception tells you about the bull and the condition score; calving rate tells you about the calving shed and the hard cases.

EXAMPLE

90 cows served, 80 in calf, 78 calves born: 89% conception, 87% calving rate.

conception fertility calving bull losses
Egg production and feed per egg
lay rate % = (eggs / hens) x 100 ; feed per dozen eggs (kg) = feed eaten / (eggs / 12)
SYMBOLS · a good free-range hen lays 250-300 eggs a year
UNITS · % and kg per dozen
HOW TO USE

For working out whether a flock of hens is worth keeping. The feed per dozen is the number to watch, and it gets worse in winter when the birds are burning energy to stay warm.

EXAMPLE

20 hens, 5 eggs a day, 1.1 kg of feed a day: 240 eggs a month, 1.65 kg of feed per dozen.

hens eggs lay rate feed flock
Grazing days per hectare
grazing days = (forage DM kg/ha x grazeable %) / (stock units x intake per unit per day)
SYMBOLS · for a dairy cow at 3.5% of 600 kg, that is 21 kg of dry matter a day
UNITS · days per hectare
HOW TO USE

The practical version of the stocking rate. It tells you when to move the herd on, and how long a paddock lasts.

EXAMPLE

6,000 kg DM/ha at 60% grazeable with 40 cows at 18 kg DM: 3,600 / 720 = 5 days.

grazing paddock dry matter cow move on
Hay bale weight
W = L x W x H x D
SYMBOLS · W = weight (kg); L = length (m); W = width (m); H = height (m); D = density (kg per m3)
UNITS · kg per bale
HOW TO USE

Measure the bale in metres, multiply length x width x height to get cubic metres, then multiply by density. A small square bale is about 100-150 kg/m3; a big round bale is denser, about 200-250 kg/m3.

EXAMPLE

1.2 x 0.7 x 0.4 m x 130 kg/m3 = about 44 kg per small bale.

QUICK CALCULATOR W = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

hay bale weight storage feed
Honey yield per hive
honey (kg) = colonies x kg per colony
SYMBOLS · a good flow gives 20-40 kg a colony; a poor year gives 5-10
UNITS · kg
HOW TO USE

For planning how many hives you can keep, how much equipment you need and what the honey is worth. See Keeping Bees.

EXAMPLE

6 colonies at 25 kg each = 150 kg of honey.

bees honey colonies yield flow
Lambing and calving rate
lambing rate % = (lambs born / ewes tupped) x 100
SYMBOLS · a rate of 130 means 130 lambs per 100 ewes, which means twins are doing the work
UNITS · %
HOW TO USE

The measure of the whole system - rams, condition, feed, scanning and lambing. It is the number to write down every year.

EXAMPLE

120 lambs from 100 ewes = 120% lambing.

lambing calving rate flock herd
Milk yield per hectare of forage
milk (kg/ha) = (forage DM kg/ha x energy content MJ/kg DM) / (milk energy MJ/kg)
SYMBOLS · milk is about 3.14 MJ of net energy a kg; grass at sillage is about 9-10 MJ of ME a kg of DM
UNITS · kg of milk per hectare
HOW TO USE

The number that shows whether the land or the cow is the limiting factor, and the reason a good dairy farmer looks at the forage first.

EXAMPLE

12,000 kg DM/ha at 9.5 MJ/kg gives 114,000 MJ, which is 36,000 kg of milk a hectare.

milk yield forage hectare dairy
Mortality and culling rate
mortality % = (animals that died / animals born) x 100 ; culling % = (animals sold or culled / animals born) x 100
SYMBOLS · a smallholder should be able to keep lamb and calf mortality under 5-8%
UNITS · %
HOW TO USE

The honest measure of the system. Write it down every year; it tells you whether the problem is the housing, the feed or the lambing.

EXAMPLE

10 lambs dead from 100 born = 10% mortality.

mortality culling lamb calf losses
Water intake
water (L/day) = body weight (kg) x 0.05 to 0.10, more in hot weather or on dry feed
SYMBOLS · a lactating cow drinks 60-100 L a day; a 40 kg calf needs about 5 L; a sow 20-30 L
UNITS · litres per day
HOW TO USE

Size the troughs. A trough that is too small for a hot day is the reason a cow stops eating. See Water Troughs And Algae.

EXAMPLE

A 600 kg lactating cow in summer may drink 100 L a day, so a 200 L trough empties twice.

water intake trough cow summer
Withdrawal period and milk and meat
withdrawal time (days) = date of last treatment + withdrawal period
SYMBOLS · the withdrawal period is on the label and on the vet's card; it can be 3 to 60 days, and it applies to milk and meat separately
UNITS · days
HOW TO USE

Write the treatment date and the withdrawal date on the animal or in the book, and check the milk before it goes in the tank. See Vaccinating And Cold Chain.

EXAMPLE

Treated on 1 June with a 14-day withdrawal: nothing in the tank before 15 June.

withdrawal medicine milk meat veterinary
Wool yield and fleece weight
wool (kg/head) = (body weight x fleece weight factor)
SYMBOLS · a ewe usually carries 3-6 kg of fleece, more in a good year and on a fine fleece; a hogget carries less than a ewe
UNITS · kg
HOW TO USE

For working out the wool income from a flock, and for judging whether the condition of the sheep at shearing was right.

EXAMPLE

A 70 kg ewe with a 4.5 kg fleece yields 6.4% of her liveweight in wool.

wool fleece she shearing weight
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