EM 8768 • No vember 2000
$1.50
Calculating Dairy Manure Nutrient
Application Rates
T. Do wning
Whether yo ur go al is to
manage manure applic atio n
to balanc e fo r nitro gen o r
fo r pho spho rus, kno wing
ho w muc h nutrient yo u are
applying is a c ruc ial step
to ward ideal manure management. Determining the
relatio nship between
vo lume o f waste and the
amo unt o f nutrients applied
is essential.
This public atio n
desc ribes ho w to c alibrate
waste-handling equipment
and to c alc ulate nutrient
applic atio n rates. It c o vers
typic al equipment fo und o n
Figu re 1. Plac e several straight-sided, flat-bo tto m buc kets in the area
dairies and uses nitro gen in
where the gun is to apply liquid.
the examples. The same
tec hniques c an be used with
pho spho rus.
Generally, it is desirable to apply no
mo re than 100 po unds N per ac re at a time.
See the public atio ns listed under “Fo r mo re
To c alc ulate nutrient applic atio n rates,
info rmatio n” o n page 6 to learn ho w to
yo u need to kno w three things:
determine appro priate nutrient applic atio n
• The c o nc entratio n o f nitro gen in the
rates fo r yo ur situatio n.
manure—Fo r example, if yo u apply
100 po unds o r 100 gallo ns o f manure, yo u
must kno w ho w muc h nitro gen is in eac h
po und o r gallo n. Having a sample analyzed by a lab is the best way to determine nutrient c o nc entratio n, but using
bo o k values usually puts yo u in the
ballpark.
Doing the calculations
• Ho w muc h manure (po unds o r gallo ns)
yo u have applied
• The area (square feet o r ac res) that
rec eived the applic atio n
Tro y Do wning, Exte nsio n age nt ( dairy) , Tillamo o k
Co unty, Ore go n State Unive rsity.
Calculating rates with
a stationary gun
yo u applied 1⁄2 inc h o ver the 25,434 square
feet.
1. Mea s u re the a m ou nt of m a nu re
a p p lied . Plac e several straight-sided,
flat-bo tto m buc kets in the area where the
gun is to apply liquid (Figure 1). Run the
gun fo r a predetermined amo unt o f time
(fo r example, 30 minutes) and then turn
o ff the pump. Po ur the c o ntents o f all the
buc kets into o ne buc ket and measure the
depth o f the liquid. Divide the depth by
the number o f buc kets. The result is the
inc hes o f liquid manure applied in
30 minutes. Let’s say yo u applied 1⁄2 inc h
in 30 minutes.
2. Mea s u re the a rea covered . To c alc ulate
the area o f a c irc le, multiply the radius
squared by 3.14. (The radius is half the
diameter.) Fo r example, if yo ur big gun
c o vers a c irc le 180 feet ac ro ss, the radius
is 90 feet. Multiply 90 ft x 90 ft x 3.14 to
get the to tal area in square feet
(25,434 square feet). There are
43,560 square feet in an ac re, so
25,434 square feet is appro ximately
0.58 ac res:
25,434 ft2
= 0.58 acre
43,560 ft2 per acre
3. Conver t the inches a p p lied to ga llons .
If yo u had an average o f 1⁄2 inc h o f liquid
manure in yo ur buc kets, yo u c an assume
a. First, c o nvert the square feet to c ubic
feet by dividing 25,434 by 24 ( 1⁄2 inc h in
the buc ket is 1⁄24 o f a fo o t). This is
equivalent to 1,059 c ubic feet o f liquid
manure.
25,434 ft2
= 1,059 ft3
24
b. Now, c o nvert the c ubic feet to gallo ns.
There are 7.5 gallo ns per c ubic fo o t, so
multiply 1,059 c ubic feet by 7.5. The
result is 7,948 gallo ns pumped in
30 minutes.
4. Deter m ine the p u m p ing ra te. Divide
7,948 gallo ns by 30 minutes. Yo ur pumping rate is 265 gallo ns per minute.
5. Ca lcu la te the tota l a m ou nt of nitrogen
a p p lied . If the nitro gen c o nc entratio n o f
the manure is 10 po unds per 1,000 gallo ns,
and yo u applied 7,948 gallo ns, then yo u
applied 79 po unds o f nitro gen.
7,948 gal x 10 lb N
= 79 lb N
1,000 gal
6. Ca lcu la te the a m ou nt of nitrogen
a p p lied p er a cre. Sinc e yo u c o vered
0.58 ac res, yo u applied the equivalent o f
137 po unds o f nitro gen per ac re.
79 lb N
= 137 lb per acre
0.58 acres
Calculating rates with a
traveling gun
Calibrating a traveler invo lves the same
princ iples desc ribed fo r the statio nary gun,
but yo u adjust fo r the speed o f the traveler
(Figure 2).
Yo u need to kno w the width o f applic atio n, the number o f feet o f ho se pulled o ut
(the distanc e c o vered by a single pass), and
the speed at whic h the gun is mo ving. Let’s
say, fo r example, that yo ur applic atio n is
240 feet wide, eac h pass is 1,000 feet, and
the traveler mo ves at 6 feet per minute.
Figu re 2. Calibrating a traveler invo lves the same princ iples
desc ribed fo r the statio nary gun, but yo u adjust fo r the speed o f
the traveler.
2
1. Ca lcu la te the a rea covered . Multiply
4. Ca lcu la te the tota l a m ou nt of nitrogen
a p p lied . If the manure c o ntains 8 po unds
the 240-fo o t width by the 1,000-fo o t pass
to determine that yo u c o vered
240,000 square feet. This represents
5.5 ac res.
o f nitro gen (N) per 1,000 gallo ns, and yo u
applied 50,002 gallo ns, then yo u applied
400 po unds N.
50,002 gal x 8 lb N
240,000 ft2
= 5.5 acres
43,560 ft2 per acre
= 400 lb N
1,000 gal
2. Mea s u re the a m ou nt of liq u id a p p lied .
5. Ca lcu la te the a m ou nt of N a p p lied p er
a cre. Fo ur hundred po unds o f N applied
During the applic atio n, plac e several
buc kets thro ugho ut the pass area.
Co mbine the liquid waste c o llec ted in all
the buc kets into o ne buc ket and measure
the depth o f the liquid. Divide this
amo unt by the number o f buc kets to
determine ho w many inc hes yo u applied.
Fo r example, let’s say yo ur applic atio n
averaged 1⁄3 inc h.
o ver 5.5 ac res equals aro und 73 po unds
per ac re.
400 lb N
= 73 lb N per acre
5.5 acres
6. Ca lcu la te a p p lica tion ra tes a t va riou s
s p eed s . Fro m these c alc ulatio ns, yo u c an
generate a table that easily demo nstrates
the amo unt o f nitro gen applied at vario us
speeds (see Table 1 fo r an example). In
the example abo ve, the speed was 6 feet
per minute. At 3 feet per minute, the
applic atio n rate wo uld be twic e that at
6 feet, o r 146 po unds N per ac re.
3. Conver t the inches a p p lied to ga llons .
a. First, c o nvert the square inc hes to
c ubic feet by dividing 240,000 by 36
( 1⁄3 inc h in the buc ket is 1⁄36 o f a fo o t).
This is equivalent to 6,667 c ubic feet o f
manure.
7. Es tim a te the p u m p ra te p er m inu te. At
240,000 ft2
= 6,667 ft3
36
6 feet per minute, it takes 166 minutes to
c o mplete a 1,000-fo o t pass.
b. Now, c o nvert the c ubic feet to gallo ns.
1,000 ft
= 166 minutes
6 ft per minute
There are 7.5 gallo ns in a c ubic fo o t, so
multiply 6,667 c ubic feet by 7.5. The
result is 50,002 gallo ns.
Divide the to tal gallo ns pumped by the
to tal minutes pumped. Fo r this example,
50,002 gallo ns divided by 166 minutes
equals 301 gallo ns per minute.
Table 1. — Example calibration chart.
Traveler
speed
(feet/ minute)
Inches
applied
N applied
per acre (lb)
(if 8 lb N/
1,000 gal)
Total N applied (lb)
500 ft
hose pulled
1,000 ft
hose pulled
1,500 ft
hose pulled
2.0
1
219
600
1,200
1,800
4.0
0.5 inc hes
109
300
600
900
6.0
0.33 inches
73
200
400
600
8.0
0.25 inc hes
55
150
300
450
10.0
0.20 inc hes
44
120
240
360
3
Fill in your own farm’s numbers here.
Traveler
speed
(feet/ minute)
Inches
applied
N applied
per acre (lb)
(if 8 lb N/
1,000 gal)
Total N applied (lb)
500 ft
hose pulled
1,000 ft
hose pulled
1,500 ft
hose pulled
2.0
4.0
6.0
8.0
10.0
Calculating rates with a
liquid wagon
The fo llo wing are two ways to c alibrate
liquid wago ns to determine nutrient applic atio n rates.
The most common method
Determine the to tal vo lume o f liquid
applied to a field, and then c alc ulate the
nutrients applied. Fo r example:
1. Mea s u re the a m ou nt of liq u id a p p lied .
If yo u hauled 30 lo ads o f liquid with a
wago n that ho lds 3,000 gallo ns, yo u
hauled 90,000 gallo ns o f liquid.
30 loads x 3,000 gal = 90,000 gal
It is impo rtant to realize that altho ugh
mo st liquid wago ns are rated fo r a
spec ific vo lume, the ac tual wo rking
vo lume is less. Fo r example, a
3,000-gallo n wago n might deliver o nly
2,700 gallo ns to the field.
2. Ca lcu la te the p er -a cre m a nu re a p p lica tion ra te. If the manure is applied to a
10-ac re field, this is equivalent to
9,000 gallo ns per ac re.
90,000 gal
= 9,000 gal per acre
10 acres
3. Ca lcu la te the p er -a cre N a p p lica tion
ra te. If the manure has a nitro gen c o nc entratio n o f 10 po unds N per 1,000 gallo ns, yo u applied 90 po unds o f N per
ac re.
9,000 gal x 10 lb N
= 90 lb N
1,000 gal
A second method
This metho d measures the vo lume o f
liquid applied to a small area and uses that
quantity to c alc ulate the vo lume applied
o ver the entire field. It assumes that the
applic atio n rate is c o nstant. Fo r example:
1. Mea s u re the a m ou nt of liq u id a p p lied .
Figu re 3. Plac e several trays, pans, o r sho rt buc kets in the field to
c atc h liquid applied with o ne pass.
4
Plac e several trays, pans, o r sho rt
buc kets in the field to c atc h liquid
applied with o ne pass (Figure 3). Po ur
the c o ntents o f all the pans into o ne pan
and measure the depth o f the liquid.
Divide this number by the number o f
pans. The result is the inc hes o f liquid
manure applied. Let’s assume yo u
applied 1⁄2 inc h.
2. Conver t the inches a p p lied to ga llons
a p p lied p er a cre.
a. First, c o nvert the inc hes to c ubic feet
per ac re by dividing 43,560 (the
number o f square feet in an ac re) by
24 ( 1⁄2 inc h in the buc ket is 1⁄24 o f a
fo o t). This is equivalent to 1,815 c ubic
feet o f liquid manure per ac re.
43,560 ft2
= 1,815 ft3 per acre
24
b. Now, c o nvert the c ubic feet per ac re
to gallo ns per ac re. There are 7.5 gallo ns per c ubic fo o t, so multiply
1,815 c ubic feet by 7.5. The result is
13,612 gallo ns per ac re.
3. Ca lcu la te the nitrogen a p p lica tion
ra te. If the c o nc entratio n o f nitro gen is
10 po unds per 1,000 gallo ns, the rate o f N
applied is 136 po unds per ac re.
13,612 gal/ a x 10 lb N
= 136 lb N/ a
1,000 gal
Figu re 4. Plac e a tarp o r piec e o f plastic in the field and apply
so lids o ver the area.
3. Ca lcu la te the a m ou nt of N a p p lied to
the field . Rec o rd the number o f lo ads
hauled o n eac h field. Multiply the number o f lo ads by the amo unt o f N per lo ad.
Fo r example, if yo u hauled 25 lo ads o f
so lids, multiply 25 lo ads by 40 po unds N
per lo ad, fo r a to tal applic atio n o f
1,000 po unds N.
4. Ca lcu la te the nu m b er of p ou nd s of N
a p p lied p er a cre. Divide the to tal
amo unt o f N applied by the number o f
ac res, in this example 10 ac res.
Calculating rates with a
solids spreader
The fo llo wing are two ways to c alibrate
so lids spreaders.
1,000 lb total N
= 100 lb N per acre
10 acres
The most common method
A second method
Calc ulate the nutrient (e.g., nitro gen)
c o ntent o f eac h spreader lo ad and multiply
that number by lo ads per ac re o r per field.
This metho d measures the po unds o f
so lids applied to a small area and uses that
quantity to c alc ulate the vo lume applied
o ver the entire field. It assumes that the
applic atio n rate is c o nstant. Fo r example:
1. Ca lcu la te the ca p a city (in cu b ic feet)
of you r s p rea d er. If yo ur spreader is
16 feet lo ng, 5 feet wide, and 5 feet deep,
it ho lds 400 c ubic feet per lo ad.
3
16 ft x 5 ft x 5 ft = 400 ft
2. Ca lcu la te the nitrogen a p p lica tion
ra te. If yo ur so lid manure has a c o nc entratio n o f 10 po unds N per 100 c ubic feet,
yo u are applying 40 po unds o f N per lo ad
o f so lids.
1. Mea s u re the a m ou nt of s olid s a p p lied .
Plac e a tarp o r piec e o f plastic in the field
and apply so lids o ver the area (Figure 4).
A 10' x 10' tarp measures 100 square feet,
whic h represents 1⁄435 o f an ac re.
100 ft2
= 1/ 435 acre
43,560 ft2 per acre
400 ft3 x 10 lb N
= 40 lb N
100 ft3
5
After spreading ac ro ss the sample area,
fo ld the tarp and weigh the so lids c o llec ted o n it. Let’s assume the so lids o n
the tarp weigh 110 po unds.
2. Conver t the p ou nd s to w et tons p er
a cre.
a. First, c o nvert the po unds c o llec ted to
po unds per ac re by multiplying 110 by
435. This is equivalent to 47,850 lb per
ac re.
110 lb x 435 = 47,850 lb per acre
b. Now, c o nvert the po unds per ac re to
wet to ns per ac re by dividing 47,850
by 2,000 (the number o f po unds per
to n). The result is 23.9 wet to ns per
ac re.
47,850 lb/ acre
2,000
= 23.9 wet tons/
acre
3. Ca lcu la te the nitrogen a p p lica tion
ra te. If the c o nc entratio n o f nitro gen is
5 po unds per wet to n, the rate o f N
applied is 119 po unds N per ac re.
23.9 wet tons/ acre x 5 lb N/ wet ton
= 119 lb N/ acre
Manure sampling
and testing
Testing manure fo r nutrient c o ntent is
relatively easy. Ho wever, it c an be a majo r
pro blem to get o ne sample that represents
the nutrient c o nc entratio n o f the manure.
Nutrient c o ntent c an vary c o nsiderably
within a lo ad, and agitatio n usually is
inadequate to ac hieve tho ro ugh mixing.
Analyzing the samples taken during the
c alibratio n pro c ess is the mo st desirable
metho d, espec ially when testing fo r nitro gen, bec ause these values sho uld represent
what ac tually reac hes the so il. This metho d
ac c o unts fo r nutrient lo sses that o c c ur
during sto rage and applic atio n.
Take samples fro m a liquid tank o r
lago o n o nly after agitatio n.
Bo o k values are a reaso nable appro ac h if
testing is no t feasible, but ac tual values
6
vary fro m o peratio n to o peratio n depending
o n water added, feed c o mpo sitio n (bo th
quality and quantity), age and stage o f
lac tatio n o f the c attle, and the manure
sto rage system.
For more information
Hart, J., A List o f Analytical Labo rato rie s
Se rving Ore go n, EM 8677 (Orego n State
University, Co rvallis, revised 2000). No
c harge.
Hart, J., M. Gangwer, M. Graham, and
E. Marx, Dairy Manure as a Fe rtiliz e r
So urce , EM 8586 (Orego n State University,
Co rvallis, published 1995, reprinted
1997). 75¢
Hart, J., E.S. Marx, and M. Gangwer, Manure
Applicatio n Rate s fo r Fo rage Pro ductio n,
EM 8585 (Orego n State University,
Co rvallis, published 1996, reprinted
1997). $1.50
To o rder c o pies o f the abo ve public atio ns, send the c o mplete title and series
number, alo ng with a c hec k o r mo ney o rder
fo r the amo unt listed, to :
Public atio n Orders
Extensio n & Statio n Co mmunic atio ns
Orego n State University
422 Kerr Administratio n
Co rvallis, OR 97331-2119
Fax: 541-737-0817
If yo u wo uld like additio nal c o pies o f this
public atio n, Calculating Dairy Manure
Nutrie nt Applicatio n Rate s, (EM 8768), send
$1.50 per c o py to the abo ve address.
Yo u may o rder up to six no -c harge
public atio ns witho ut c harge. If yo u request
seven o r mo re no -c harge public atio ns,
inc lude 25 c ents fo r eac h public atio n
beyo nd six.
We o ffer disc o unts o n o rders o f 100 o r
mo re c o pies o f a single title. Please c all
541-737-2513 fo r pric e quo tes.
Wo rld Wid e Web
Yo u c an ac c ess o ur Public atio ns and
Video s c atalo g and many o f o ur public atio ns thro ugh o ur Web page at
eesc.orst.edu
© 2000 Orego n State University
This public atio n was pro duc ed and distributed in furtheranc e o f the Ac ts o f
Co ngress o f May 8 and June 30, 1914. Extensio n wo rk is a c o o perative pro gram o f
Orego n State University, the U.S. Department o f Agric ulture, and Orego n c o unties.
Orego n State University Extensio n Servic e o ffers educ atio nal pro grams, ac tivities,
and materials— witho ut discriminatio n base d o n race , co lo r, re ligio n, se x, se xual
o rie ntatio n, natio nal o rigin, age , marital status, disability, o r disable d ve te ran o r
Vie tnam-e ra ve te ran status. Orego n State University Extensio n Servic e is an Equal
Oppo rtunity Emplo yer.
Published No vember 2000.