Net Farm Income, Market Prices and Agricultural Productivity ...

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Papers downloaded from AgEcon Search may be used for non-commercial purposes and personal study only. No other use, including posting to another Internet site, is permitted without permission from the copyright owner (not AgEcon Search), or as allowed under the provisions of Fair Use, U.S. Copyright Act, Title 17 U.S.C.

Net Farm Income, Market Prices and Agricultural

Productivity Growth in the United States

Sean A. Cahill

Research and Analysis DirectorateStrategic Policy Branch

Agriculture and Agri-Food Canada

April 2007

I would like to thank Eldon Ball for generously providing the data used here and for helpfulsuggestions. Any policy views, whether explicitly stated, inferred or interpreted from the contents ofthis paper, should not be represented as reflecting the views of Agriculture and Agri-Food Canada(AAFC).

Copyright 2007 by Sean A. Cahill. All rights reserved. Readers may make verbatim copies of this documentfor non-commercial purposes by any means, provided that this copyright notice appears on all such copies.

Selected Paper prepared for presentation at the American Agricultural EconomicsAssociation Annual Meeting, Portland, Oregon, July 29-August 1, 2007

1 Introduction

Real net farm income in the United States has been declining slowly butsurely. Between 1948 and 2002, U.S. real net farm income decreased inaggregate by about 2.2 Billion $1996 per year – see Figure 1.1 Yet for mostof this period, annual productivity growth was substantial [1, p. 1045].

This juxtaposition of declining net farm income and healthy productiv-ity growth represents one element of the ‘farm problem’ [8, p. 62]. An

additional feature of the problem is that the economic well-being of farmersand their families has been low, both in absolute terms and in relation tonon-farm families. This disparity has become less marked over time, butthe improvement has been due to growth in o¤-farm income, which has be-come an increasingly important part of farm household income.2 While theincome of farm and non-farm households has gradually equalized, the issueof low net farm income remains prominent in the justi…cation of variouspolicies designed to “ameliorate the farm problem” [8, p. 85].

The striking reduction in aggregate real net farm income illustrated inFigure 1 does not take into account another well-known feature of U.S.agriculture – the number of farms has also been steadily declining. In 2002there were about 2.2 million farms in the United States, 3.4 million fewerthan in 1948 [18, pp. 34-35]. This exit of about 63,000 farms per year meansthat any analysis of net farm income must allow for the e¤ect of reductionsin the number of farms.3

1The net farm income data are derived using price and implicit quantity data fromthe U.S. agriculture production account (see the Data and Results section for details onthe production account data). The data do not include government payments that arenot speci…cally tied to the production of one or more outputs, i.e. decoupled payments.These net farm income data are then de‡ated using the U.S. all-items CPI (base 1984-1986, scaled to 1996). The de‡ated series gives an idea of the spending power of net farmincome over time.

2 The proportion of total farm household income accounted for by farming income hasdecreased signi…cantly over time, from about 50% in 1964 to less than 30% in 1999 [14,p. 4].

3 Net farm income is often reported in aggregate and is an in‡uential and highly pub-licized statistic when about used to describe the health of the farm sector. Generallyspeaking, average net farm income per operation is a secondary statistic, even though it isprobably a better indicator. See, for example, [16] or the ERS 2007 Farm Income Forecast(obtainable at www.ers.usda.gov).

1

Figure 1. Real Aggregate Net Farm Income, United States, 1948-2002

-80,000

-40,000

0

40,000

80,000

120,000

160,000

1948 1954 1960 1966 1972 1978 1984 1990 1996 2002

Mill

ion

1996

$U

S

SOURCE: Calculations with ERS Agricultural Productivity database (see Annex 1)

2

This analysis addresses the farm problem in two stages. First, changes innominal net farm income are decomposed into market price and productivitygrowth e¤ects. Bennet indicators provide the elements of price and quantitychange in this decomposition.

In the second stage, elements quanti…ed in the …rst stage are related tochanges in the real implicit wage earned by the residual claimants, namelyfarm operators and unpaid family members that work on the farm. Thismakes it possible to show how productivity growth andmarket price changesa¤ect the economic well-being of the farm household.

The next section gives more precise de…nitions of net farm income andthe residual claimant. The third section outlines the methodology used todecompose nominal net farm income growth and the method used to relatethis decomposition to changes in the real implicit wage. Data used for thecomputations and results from the decomposition are presented in the fourthand …fth sections respectively. The last section provides some concluding

comments.

2 Net Farm Income and the Residual Claimant

Net farm income (NFI) is de…ned by the United States Department of Agri-culture, Economic Research Service (ERS) as the “share of output earnedby operator households and others who share risks” [7, p. 4] – ‘others’means other households, corporations and other entities that may be resid-ual claimants. If the others component does not play an important role inthe distribution of NFI, then the residual claimants are operators and un-paid family members. As Hottel and Gardner put it, this is the ‘essence offamily farming’.4

The ERS de…nition provides the basis for NFI measurement within thecontext of a production account for agriculture. In the account, the revenuefrom all agricultural outputs equals the cost of all inputs. This means thatpro…t, in the usual sense of the word, will always be zero in the account.

To ensure that the equality of cost and revenue holds, the price of one ormore inputs must adjust; the prices for these ‘residual claimant’ inputs are

4 See [11, p. 553]. The authors nevertheless choose equity capital as the residualclaimant. Their approach is generally consistent with analyses of returns in the non-agricultural sector, where capital is the residual claimant and the cost of capital servicesis measured as the gross operating surplus in the national accounts [6, p. 5].

3

thereby endogenously determined.5 Both the total value and the unit valueof the residual will depend upon the claimant – if owners of land were theresidual claimants, the return to these owners would usually be di¤erentfrom that to owners of another input (e.g. machinery).

In the computations made here, only operator and unpaid family labourwill be treated as the residual claimant – this is consistent with the ERS de-…nition of NFI. The methodology developed in the next section neverthelessallows for more than one residual claimant, so that an analyst can choosethe residual claimant or set of claimants without being bound by the onechosen here.

3 Methodology

The approach taken in this section is to …rst establish the manner in which a

change in nominal NFI growth can be decomposed into output price change,input price change and productivity growth components. Then the decom-position of the real implicit wage is speci…ed.6

Suppose that, in each year, N inputs are used to produceM agriculturaloutputs and that there are H < N residual claimants. Suppose also thatobservations on the prices and quantities of all of these inputs and outputsare available. Use the following notation: output prices in year t are thevariables p1;t; p2;t; : : : ; pM;t, where each price includes any subsidy that istied to production of that output.7 Transfer payments made to farmers bygovernments – i.e. payments that are are decoupled from production – arenot included in prices p1;t; p2;t; : : : ; pM;t; nor do they appear in the de…nitionof NFI used here.8

5This endogenous rate of return approach is “the most widely used methodology” forthe computation of total (multi) factor productivity statistics [17, p. 14]. Typically,the residual claimant input is one or more productive capital assets. In this case, theendogenous variable is the rate of return, which adjusts to ensure that total revenueequals total cost [17, pp. 3-4],[13, pp. 13-14].

6 The methodology outlined here need not be restricted to net farm income. It couldjust as easily be related to net income for any …rm or sector – the key is that one or moreinputs have an endogenous price or endogenous rate of return that ensured equality ofrevenue and cost.

7Output ‘price’ may be a price index or a unit value (e.g. $/tonne). Output ‘quantity’may be an actual quantity (e.g. ’000 tonnes of wheat) or an implicit quantity obtainedby dividing the nominal value of output by a price index.

8 These payments may, however, play an important role in determining the farm house-hold’s overall income from farming activity, the decisions made by the operators his/her

4

Gross output quantities are the variables y1;t; y2;t; : : : ; yM;t:Gross outputis de…ned, for any commodity or commodity aggregate i; as total sales ofi plus net additions to inventories. Sales of i include consumption of farmoutput by farm households, and sales made by farms to purchasers outsideof the farm sector.

Input prices are the variables w1;t;w2;t; : : : ; wN¡H;t ; where each priceincludes any rebate that is given for that input; input quantities are thevariables x1;t; x2;t; : : : ; xN¡H;t: Inputs are ordered so that inputs 1; 2; : : : ;N¡H have explicit prices, i.e. these are not residual claimants. When there isonly one residual claimant, the inputs are ordered so that the Nth input isthat residual claimant.

Total revenue is the sum of the values of individual outputs, i.e. Rt =pt ¢yt; where pt is the 1£M vector [p1;t; p2;t; : : : ; pM;t] and yt is the 1£Mvector [y1;t; y2;t; : : : ; yM;t] : Production cost for all but the residual claimantinput(s) is the sum of the expenditure on each of the N ¡ H inputs, i.e.Ct =wt ¢ xt; where wt is the 1£ (N¡H) vector [w1;t;w2;t; : : : ;wN¡H;t] andxt is the 1£ (N ¡H) vector [x1;t;x2;t; : : : ; xN¡H;t] :

Nominal NFI in year t; denoted by Ft; is the di¤erence between the totalvalue of agricultural output, Rt; and the cost of all inputs in the account –excluding residual claimant(s) – Ct: So

Ft = pt ¢ yt ¡wt ¢ xt. (1)

The change in nominal NFI is measured as:

FGt = Ft ¡Ft¡1 . (2)

This means, substituting (1) into (2), that

FGt = [pt ¢ yt ¡ pt¡1 ¢ yt¡1]¡ [wt ¢ xt ¡wt¡1 ¢ xt¡1] : (3)

The …rst term in square brackets on the right-hand side of (3) is thechange in total revenue between year t ¡ 1 and year t: The second term insquare brackets is the change in the cost of all inputs – excluding residualclaimant(s) – between year t¡ 1 and year t:

family members regarding on-farm and o¤-farm work (i.e. labour supply) and decisionsabout entry into, or exit from, farming.

5

The di¤erence in value (revenue or cost) between year t¡1 and year t canbe expressed as the sum of price change indicators and aggregate quantityindicators for the commodities or commodity aggregates produced or utilized[4, p. 313]. There are several possible formulas for these indicators, and theirproperties can be assessedwith a range of tests similar to those used to assessconventional index number formulas like the Fisher Ideal price index. Of thecandidates, the Bennet price and quantity change indicators ful…ll all of theproperties needed to meet the requirements of ‘well-behaved’ indicators [4,p. 331, Prop. 2].

The decomposition of the change in revenue between year t¡ 1 and yeart can be expressed as the sum of the Bennet indicators of output price andoutput quantity change [4, pp. 313-314], i.e.

pt ¢ yt ¡pt¡1 ¢ yt¡1 ´ IR (pt; yt;pt¡1; yt¡1)+ (4)

VR (pt;yt;pt¡1;yt¡1)

where

IR (pt;yt;pt¡1;yt¡1) =XM

i=1ymi;t (pi;t ¡ pi;t¡1) (4a)

is the Bennet indicator of aggregate output price change;

ymi;t = (yi;t + yi;t¡1) =2

is the arithmetic average of the quantity of output i in year t and year t¡ 1;

VR (pt;yt;pt¡1;yt¡1) =XM

i=1pmi;t (yi;t ¡ yi;t¡1) (4b)

is the Bennet indicator of aggregate output quantity change; and

pmi;t = (pi;t + pi;t¡1)=2

is the arithmetic average of the price of output i in year t and year t¡ 1.

A change in the cost of all inputs – excluding residual claimant(s) –between year t ¡ 1 and year t can be decomposed in a similar manner:

wt ¢ xt ¡wt¡1 ¢ xt¡1 ´ IC¡wt;xt;wt¡1;xt¡1

¢+ (5)

VC¡wt; xt;wt¡1; xt¡1

¢;

6

where

IC¡wt;xt;wt¡1;xt¡1

¢=XN¡H

j=1xmj;t (wj;t ¡ wj;t¡1) (5a)

is the Bennet indicator of price change for the aggregate of all but theresidual claimant input(s);

xmj;t = (xj;t +xj;t¡1)=2

is the arithmetic average of the quantity of input j used in year t and yeart¡ 1;

VC¡wt;xt;wt¡1;xt¡1

¢=XN¡H

j=1wmj;t (xj;t ¡ xj;t¡1) (5b)

is the Bennet indicator of quantity change for the same aggregate; and

wmj;t = (wj;t +wj;t¡1)=2

i.e. this is the arithmetic average of the price of input j in year t and yeart¡ 1:

Substitution of (4) and (5) into (3) gives the following decomposition ofa change in nominal NFI:

FGt = IR (pt;yt;pt¡1;yt¡1)¡ IC¡wt;xt;wt¡1;xt¡1

¢+PFPGt; (6)

where

PFPGt =£VR (pt;yt;pt¡1;yt¡1)¡ VC

¡wt; xt;wt¡1; xt¡1

¢¤(7)

is partial factor productivity growth. The formulas for the price change

indicators in (6) are given by (4a) and by (5a). The formulas for the quantitychange indicators in (7) are given by (4b) and by (5b).

Expression (6) shows that a change in nominal NFI between year t ¡ 1and year t can be decomposed into three parts: (i) the change in the outputprice component; less (ii) the change in the input price component; plus (iii)partial factor productivity growth. All of the components are measured innominal dollars – this means that the productivity measure PFPGt is thedollar value contribution to nominal NFI from partial factor productivitygrowth.

Note that expression (6) is the same as that for a single Bennet indi-cator of overall quantity change when production is cast in a net output

7

framework – see [5, pp. 5-6]. Expression (6) is also much the same as theexpression for the decomposition of pro…t given in [12, pp. 32-33], once thegross productivity and scale impacts given there are combined and termsare eliminated. With the decompositions in [5] and [12], however, the mea-sure of productivity change is TFPG, rather than PFPG, since pro…t is thedollar amount of revenue in excess of the opportunity cost of all inputs.Where owners of …rms pay a wage or salary to operators (e.g., as in a cor-poration with common shareholders), such ‘pure pro…t’ can exist, since it isdisbursed as dividends to the owners once all inputs are assigned a price inthe …rm’s accounts. To measure the change in returns to a residual claimantor claimants, and to decompose this change, expression (6) is therefore moreappropriate than the decomposition formulas in [12] or [5].

Similar decompositions to (6) can also be found in [9] and in [15]. Thesestudies, however, not only allow for pure pro…t, but also treat the change in

net income as the ratio of net income in year t to that in year t¡ 1; i.e. theyuse the ratio Ft=Ft¡1 – see [9, p. 3] and [15, p. 4]. Finally, an approachsimilar in spirit to (6) was applied in [3], but in relation to a measure called‘normal income’.

The measure of productivity growth (7) is partial because the indicator ofinput quantity change excludes the change in use of the residual claimant(s)input. Partial factor productivity growth (PFPG) can be related to otherproductivity measures such as labour productivity growth and total factorproductivity growth.

When there is only one residual claimant (the Nth input), the implicitprice for this input is estimated as:9;10

9As noted earlier, in analyses of the non-agricultural sector, capital is often the residual

claimant. In this case, the residual can be related to a cost of capital formula and therebyused to compute an ‘internal rate of return’ – see [10, p. 346],[13, p. 14].10 The real implicit wage need not be positive. For example, the data presented in Figure

1 show that real NFI was negative over the period 1981-1984. An interpretation of thisis that, over this period, operators and their families, acting as farm-household members,received a ‘negative wage’ from the labour they supplied to their farms – in reality thismeans that they had to use other forms of farm-household income to meet the cost of theother N ¡1 farm inputs, and that they also received no wage at all. It would appear thateven this form of subsidization of the farm by farm families was insu¢cient to prevent theexit of many farms. Although bankruptcy data for this period do not exist, there is littledoubt that farm bankruptcies were very common in the U.S. between 1981 and 1984. Theearly to mid-1980’s have been referred to as the “second episode of concern about farmerbankruptcies in the 20th century” [18, pp. 13], i.e., that in terms of farm …nancial stress,

8

wIN;t = Ft=xN;t . (8)

Where this Nth input is operator and unpaid family labour, xN;t is thequantity of labour (measured as hours of work) supplied to the farm by theoperator and his/her family members, and wIN;t is the implicit wage thatthey receive. In other words it is the ‘take-home pay’ from the labour thatthey supply to the farm.

To compare movements inwIN;tover time, the implicit wage must be con-

verted into real terms, using an appropriate de‡ator. De‡ation of wIN;t witha consumer price index (CPI) allows the wage to be related to its spend-ing power in purchasing consumer goods to be used by the farm household.De…ne the real implicit wage as

wIRN;t = (Ft=ht)=xN;t ; (9)

where ht is a CPI (with base year b; where hb = 1):

To link the decomposition (6) to changes in the real implicit wage (9),…rst note that the change in the real wage between any two years t¡ 1 andt is

wIRGN;t = (Ft=ht)=xN;t ¡ (Ft¡1=ht¡1) =xN;t¡1 : (10)

Expression (10) can be related to FGt in (6) as follows. Add Ft¡1= (htxN;t)¡Ft¡1= (htxN;t) to the right-hand side of (10) to get

wIRGN;t = Ft=htxN;t ¡ Ft¡1=htxN;t¡ (11)

[Ft¡1= (ht¡1xN;t¡1)¡Ft¡1= (htxN;t)] :

Note that

Ft¡1= (htxN;t)´ wIRN;t¡1 (ht¡1xN;t¡1) =(htxN;t) :

With this equivalence and some rearrangement, (11) can be re-expressed as

this period was second only to the years immediately following the Great Depression.The subsidization of farm operations by the farm household appears to have been im-

portant in other years as well, although this is not evident from the aggregate data. Forexample, in 1997, 60% of farm households appear to have made net contributions to thefarm business [14, p. 34].

9

wIRGN;t = FGt = (htxN;t) ¡w

IRN;t¡1 [1¡ (ht¡1=ht) (xN;t¡1=xN;t)] : (12)

The …rst term on the right-hand side of (12) is the change in nominalNFI between t ¡ 1 and t; converted into real dollars per hour of operatorand unpaid family labour supplied in year t – this can be viewed as theincremental change in the real implicit wage due to a change in nominal NFI.The second term on the right-hand side of (12) – the ‘CPI-hours factor’ –captures the e¤ect on a change in the real implicit wage from changes inthe CPI (in‡ation) and from changes in the number of hours supplied tothe farm by the operator and his/her family. The ratio ht¡1=ht is less thanone when there is positive in‡ation; when there is no change in any other

right-hand side variable, this means that the real implicit wage decreases.Similarly, when the ratio xN;t¡1=xN;t is less than one, the operator andfamily members that work on the farm have increased their labour input.Again, when there is no change in any other right-hand side variable, thisincrease in hours of work means that the real implicit wage is lower than itotherwise would have been.

The relationship between the decomposition of a change in nominal NFIand changes in the real implicit wage can now be determined. Substitute(6) into (12) to get:

wIRGN;t = IR (pt;yt;pt¡1;yt¡1)= (htxN;t)¡ (13)

IC¡wt; xt;wt¡1; xt¡1

¢= (htxN;t) +PFPGt=(htxN;t)¡

wIRN;t¡1 [1¡ (ht¡1=ht) (xN;t¡1=xN;t)] :

There are four components to this decomposition. These components are,in real dollars per hour: (i) an output price change component; (ii) aninput price change component; (iii) a partial factor productivity growthcomponent; and (iv) a CPI-hours component.

10

4 Data

The data are comprised of M = 10 outputs and N = 7 inputs, for the years1948-2002. The outputs and inputs (with indicator numbers) are listedin Table 1. Nine of the ten outputs are aggregates of commodities andcommodity groups that are broadly representative of the crops and livestockcomposition of U.S. agriculture. The tenth – secondary output – refersto output that is not agricultural in nature, but that is produced using

the farm’s resources. Examples would be machine and labour services andrecreation services (tours, etc.). Further details about both the output andthe input data de…nitions are given in Appendix A.

Of the seven input aggregates, the last (the Nth) is operator and unpaidfamily labour. Inputs 1-6 are the ‘N ¡ H’ inputs, and these cover themain input categories: ‘capital excluding land’ (machinery, buildings andother non-land capital); ‘land’ (a quality-adjusted measure of land input);hired labour; farm-produced inputs (agricultural outputs that are also usedas inputs, for example feed produced and used on the farm); purchasedmaterials (from outside the agricultural sector, such as feed concentrate,fuel, etc.); and purchased services (custom harvesting, veterinarian services,etc.).

The series pi;t; yi;t (i = 1;2; : : : ; 10); the serieswj;t; xj;t (j = 1;2; : : : ; 6); theseries x7;t – the hours of operator and unpaid family labour – and the series

ht (CPI) are given in Appendix A, Table A1 and Table A2 – these seriescomprise the raw data.

Both output and input mix in U.S. agriculture changed substantiallybetween 1948 and 2002. To illustrate this, it is helpful to create Fisher idealimplicit quantity indexes for crops and livestock, using the …ve individualcrop aggregates (i = 1¡ 5) and four individual livestock aggregates (i =6¡9) respectively. A third quantity index, that for all outputs, provides thedenominator. Denote the crop quantity index as yCt ; the livestock quantityindex as yLt and the total output quantity index as yt. Estimation of log-linear trends with the ratios yCrt = yCt =yt; y

Lrt = yLt =yt and y

Srt = y10;t=yt

indicate that the livestock output share fell by about 0.4% each year between1948 and 2002.11

11 These growth rates were estimated using an exponential trend equation of the formln(ykrt )=®

k + ¯kt – where k = C;L; S). Since autocorrelation was present in all threeequations, a …rst-order autoregression was estimated for livestock and secondary output,and a second-order autoregression for crops.

11

Table 1. Output and Input Coverage in the NFI Decomposition Database

OUTPUTS INPUTS

Crop Aggregates1. Grain and Forage Crops

2. Industrial Crops

3.Vegetables

4. Fruits and Tree Nuts

5. Other Crops1

Livestock Aggregates6. Meat Animals

7. Poultry and Eggs

8. Dairy

9. Miscellaneous Livestock

Other Aggregates10. Secondary Output2

1. Capital excluding Land

2. Land

3. Hired Labour

4. Farm-Produced Inputs3

5. Purchased Materials4

6. Purchased Services

7. Unpaid Operator and Family Labour

1 Horticulture, potatoes and fruit, vegetables produced using farm resources but consumed by the

farm family.

2 Output from activities that are not related to crop or livestock production and that use the farm’s

resources to do this. Examples are value-added activities such as packaging/processing and the

provision of services related to agricultural production, such as custom harvesting.

3 Agricultural outputs that are produced on farm but also used as inputs, for example feed

produced and used on the farm.

4 Purchased from outside the agricultural sector.

12

Over the same period, there was no statistically signi…cant change in theshare of crops, but the share of secondary output grew by about 1.6% peryear. These results indicate that there were substantial changes in compo-sition of agricultural output over the period, with livestock activities givingway to crops and to secondary agricultural outputs.

A similar analysis of input/output ratios captures the degree to whichinput intensities have changed both between inputs and over time. Esti-mated coe¢cients from log-linear trend equations show annual reductionsof input intensities for capital (-1.0%), land (-2.4%), hired labour (-3.7%),farm-produced inputs (-1.9% ) and services (-0.6%), while the intensity ofpurchased materials actually increased at an average annual rate of about0.4%.12;13 Together with the results for outputs, these calculations showthat the composition of U.S. agricultural output and the mix of inputs usedin production has changed substantially since the late 1940’s. While this is

a well-known fact, these …gures lend precision to the generality that ‘thingshave changed’.

The raw data are used to derive Ft;Ft¡1; and FGt ; to calculate the arith-

metic means ymi;t ; pmi;t ; for each i and the arithmeticmeans x

mj;t ;w

mj;t for each j.

Due to the lag needed to compute changes, all these derived data (other thanF1948) cover the years t = 1949;1950; ¢ ¢ ¢2002: These data are then used withthe raw data to compute values for the Bennet aggregate output and inputprice change indicators – IR (pt; yt;pt¡1;yt¡1) and IC

¡wt;xt;wt¡1;xt¡1

¢respectively – and the Bennet aggregate output and input quantity changeindicators VR (pt; yt;pt¡1; yt¡1)and VC

¡wt;xt;wt¡1;xt¡1

¢respectively:The

nominal implicit wage wI7;t is computed using the derived series Ft along with

the series x7;t and ht; the derived nominal implicit wage series is then used,along with the raw and other derived data to compute the growth in realimplicit wage wIRG

7;t series:

12 The same method used for output trends is employed here. Since autocorrelationwas present in the equations for all inputs, …rst-order autoregressions were estimated forall six inputs and second-order autoregressions were estimated for capital and purchasedmaterials. Note that the mean of annual growth rates and the estimated compound growthrate is similar to the estimated trend rate in all cases.13 These results can also be related to partial factor productivity growth rates, where

H = 1 in each case. Average annual partial factor productivity growth rates by inputwere as follows: capital, 1.0%; land, 2.2%; hired labour, 3.6%; farm-produced inputs,1.8%; purchased inputs -0.6%; purchased services, 0.4%. Only purchased inputs displayednegative partial productivity growth.

13

Figure 2 presents the derived real implicit wage between 1948 and 2002.In contrast with real net farm income, the real implicit wage did not displaya noticeable trend; on average, it decreased by only 6 cents/hour each year.There was, however, substantial year-to-year variation – variability aroundthe mean real implicit wage of $8.31/hour can be divided into …ve distinctsub-periods (see Figure 3). For 1948-1964, 1980-1985 and 1999-2002 theaverage real implicit wage was consistently below the mean, at $6.29/hour,-1.76/hour and $5.43/hour respectively. In the two sub-periods 1965-1979and 1986-1998, the average real implicit wage was consistently above themean, at $11.98 and $12.28 respectively. These …ve sub-periods, since theyso clearly de…ne ‘above-average’ and ‘below-average’ income performance,will be useful in summarizing the decomposition results that follow in thenext section.

Based on these data, farm income – expressed as a real implicit wage– has shown a lack of growth, but has not displayed the steady declineindicated by the aggregate net farm income data (as illustrated in Figure1). This suggests that a re-phrasing of the farm problem is needed, relativeto the language used in the Introduction. In particular, it may be moreappropriate to express the farm problem as ‘a lack of growth in the realimplicit wage, in spite of positive productivity growth’, and to analyze the

data in this context.

5 Results

Together, the raw and derived data described above provide all of the infor-mation needed to compute the decomposition (13) for the period 1949-2002.The results of these computations are summarized in Table 2 – the completeresults are given in Table B1.

The data in column (A) of Table 2 are average values for the derivedseries wIRG

7;t . The series in columns (B)-(E) are average annual values forseries derived using (13), with the following concordance:

(B) IR (pt;yt;pt¡1;yt¡1)= (htxN;t) ;

(C) ¡ IC¡wt;xt;wt¡1;xt¡1

¢= (htxN;t) ;

(D) PFPGt= (htxN;t) ; and

(E) ¡ wIRN;t¡1 [1¡ (ht¡1=ht) (xN;t¡1=xN;t)] :

14

Figure 2. Real Implicit Wage for Operator/ Unpaid Family Labour, U.S. Agriculture, 1948-2002

-10

-5

0

5

10

15

20

25

1948 1954 1960 1966 1972 1978 1984 1990 1996 2002

1996

$U

S/h

our

Figure 3. Deviations of Real Implicit Wage from 1948-2002 Average, U.S. Agriculture

-20

-15

-10

-5

0

5

10

15

1948 1954 1960 1966 1972 1978 1984 1990 1996 2002

199

6 $U

S p

er h

our

15

18/0

4/20

07be

nnet

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b_t3

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0out

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B.x

ls

Tab

le 2

. Dec

om

po

siti

on

of

Rea

l Im

plic

it W

age

to O

per

ato

r an

d U

np

aid

Fam

ily L

abo

ur,

U.S

. Ag

ricu

ltu

re, 1

949-

2002

ALL

VA

LUE

S A

RE

199

6 D

OLL

AR

S P

ER

HO

UR

re

al im

plic

it w

age

grow

th d

ecom

posi

tion:

ave

rage

ann

ual c

hang

esre

al im

plic

itav

erag

e an

nual

outp

ut p

rice

inpu

t pric

ew

age

at s

tart

chan

ge in

rea

lch

ange

chan

geP

FP

GC

PI-

hour

spe

riod/

of p

erio

d/im

plic

it w

age*

*co

mpo

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com

pone

ntco

mpo

nent

fact

orsu

b-pe

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sub-

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d*(A

)(B

)(C

)(D

)(E

)

1949

-200

27.

53-0

.06

0.75

-1.3

60.

64-0

.09

1949

-196

47.

53-0

.03

-0.1

9-0

.18

0.18

0.17

1965

-197

96.

980.

392.

68-2

.60

0.52

-0.2

119

80-1

985

12.8

3-1

.59

0.29

-3.5

31.

79-0

.14

1986

-199

83.

280.

540.

34-0

.42

0.83

-0.2

219

99-2

002

10.2

7-1

.49

-0.6

5-1

.31

0.63

-0.1

6

* T

his

is th

e le

vel i

n th

e ye

ar p

rior

to th

e st

art o

f the

per

iod/

sub-

perio

d. T

hus,

the

real

impl

icit

wag

e at

the

sta

rt o

f the

194

9-19

64 s

ub-p

erio

d is

the

leve

l in

1948

. **

The

ave

rage

ann

ual c

hang

e is

ave

rage

of y

ear-

over

-yea

r ch

ange

s w

ithin

eac

h pe

riod/

sub-

perio

d.

16

So the sum of the series (B)-(E) equals series (A), where di¤erences aredue only to rounding.

The results – all are average annual changes measured in 1996 dollars –show that the contribution of PFPG to the change in the real implicit wagefor the whole period 1949-2002 was 64 cents/hour, while the output pricechange component was 75 cents/hour. Both of these e¤ects, however, were

negated by the input price change component, which was -$1.36/hour, andto a small negative CPI-hours factor of -9 cents/hour.14 Market conditionstherefore worked against PFPG in elevating the real implicit wage.

The sub-period results in Table 2 illustrate the degree to which therewas variability in the relative magnitude of the three main components,depending upon the direction of change in the real implicit wage. Over the1949-1964 sub-period, output prices decreased – the output price changecomponent was -19 cents/hour – and so, even though the CPI-hours e¤ect

was positive, and there was modest PFPG, the real implicit wage fell by 3cents/hour. For this sub-period, then, the crucial element was the decreasedoutput price.

During the second sub-period, 1965-1979, the real implicit wage in-creased; an important part of this was the positive output price changecomponent. The PFPG component was about three times that in the …rstsub-period as well. The input price change component was large but, evenwith the negative CPI-hours component (due to CPI in‡ation) this only

partially o¤set the output price change and PFPG components.

Between 1980 and 1985, PFPG, at $1.79/hour, was much higher thanin the previous sub-period, but the output price change component, whilepositive, was only 29 cents/hour. Together, these components were insuf-…ciently large to o¤set the input price change and CPI-hours componenttogether.

In the fourth sub-period, 1986-1998, the PFPG component was muchsmaller than in the previous sub-period, but at 83 cents/hour, still higherthan that in the …rst two sub-periods. This did not translate into a similarincrease in the real implicit wage, which increased by 54 cents/hour, because14With few exceptions, there was an annual reduction in the hours of operator and

unpaid family labour over this period and an annual increase in the CPI for all but twoyears. So the negative e¤ect of the CPI-hours component can be fully attributed to CPIin‡ation.

17

the output price change component was only about half that of the combinede¤ect of the input price change and CPI-hours components.

Between 1999 and 2002, the real implicit wage fell by -$1.59/hour. Al-though the PFPG component was smaller than in the two previous sub-periods, at 63 cents/hour it was still larger than that in the …rst two sub-periods. A key reason for the decrease in the real implicit wage was the neg-ative output price component – at -65 cents/hour, this ampli…ed the e¤ect ofinput price change (-$1.31/hour) combined with the CPI-hours component(-16 cents/hour).

Figure 4 summarizes the results by sub-period, comparing the PFPGcomponent with the change in the implicit wage for each period. These re-sults demonstrate that the contribution made by PFPG to the real implicitwage has been substantial, and, although varying between sub-periods, gen-erally increased over time. If one were to look solely at the PFPG numbers,one would expect to …nd non-trivial growth in the real implicit wage over

the same period. Instead, that growth has not occurred; as illustrated inFigure 4, PFPG e¤ects have either been muted (as in the …rst and fourthsub-period) or negated (as in the other three sub-periods).

The largest factor driving this result is the input price component. In3/5 sub-periods, this component was negated or nearly negated the outputprice components. And, in the other two sub-periods, this the input pricecomponent ampli…ed the negative e¤ect of input price changes on the realimplicit wage.

Given the importance of input price changes in the relationship betweenthe real implicit wage and PFPG, the question arises: which were the mostimportant elements to this input price change component?

The calculations underlying the results, namely the individual Bennetindicators of input price change, provide the answer.15 These data showthat the price change indicator for land generally exceeded those for otherinputs. Since the cost of land in the U.S. production account is determinedby the opportunity cost of capital, a large part of the negation of PFPGe¤ects came from increases in the bond rate.

15 The individual input price change indicators underly the results in column (C) ofTable 2 and of Table B1. The interested reader can derive these using the data in TableA2 and expression (5a).

18

Figure 4. Decomposition of Real Implicit Wage Growth,United States Agriculture, 1949-2002

-$2.00

-$1.50

-$1.00

-$0.50

$0.00

$0.50

$1.00

$1.50

$2.00

1949-1964 1965-1979 1980-1985 1986-1998 1999-2002

1996

$U

S p

er h

our

average annual change in real implicit wage average annual PFPG component

19

Purchased materials generally accounted for the second-largest inputprice change indicator, in spite of only modest price increases for this input.This price change aspect of the indicator is important and is a characteristicof the methodology – see (5a). It is possible to have a relatively large pricechange indicator for any input, even if there is only a small price change,providing that the quantity used is large enough. This is especially trueif the input use is increasing – as the trend analysis in the previous sec-tion indicated, purchased materials was the only input used with increasedintensity over the 1949-2002 period.

The third most important Bennet indicator of input price change was forhired labour, which generally ranked behind land and purchased materialsbut ahead of the remaining inputs. When these e¤ects for labour are com-bined with those for land and purchased materials, over 71% of the averageoverall Bennet indicator of input price change is accounted for.

6 Conclusion

One objective of this analysis has been to …nd reasons for an apparent para-dox and one element of the ‘farm problem’, namely that productivity growthin U.S. agriculture has been accompanied by a decline in net farm income(before direct payments). Adjustment for the number of hours worked byoperators and unpaid family members shows that the real implicit wage totheir labour has been fairly stable between 1949 and 2002. Nevertheless,observed partial factor productivity growth has not led to increases in thiswage that would be expected. A Bennet decomposition of growth in the realimplicit wage indicates that market price changes have been an importantfactor in this lack of income growth from productivity improvements.

The results obtained here suggest that the accepted wisdom – namelythat agricultural productivity growth is key to the sector’s prosperity – hasnot taken into account the e¤ect of output and input market price changes

that happen at the same time. These price changes may amplify, mute ornegate potential income gains due to productivity.

In essence, the consequences of productivity growth for net farm incomecannot be evaluated only in a partial manner (i.e. holding all prices …xed).While this analysis does not address the possible relationship between pro-ductivity growth and movements in output and input prices, it is probablethat there is a link, i.e. that the two elements are not independent of each

20

other. For example, adoption of a higher-yielding variety both by U.S. farmoperators and their international competitors may lead to lower internationalprices. Similarly, demand for inputs created by new productivity-increasingvarieties may raise the price of those inputs.

The questions posed by this analysis regarding the relationship betweenproductivity growth and net farm income growth will hopefully stimulatedebate on the subject. The other aspect of the analysis – use of the Ben-net decomposition methodology – may also lead to greater interest in thisstraightforward but powerful tool for economic analysis.

21

References

[1] Ball, V. E., J.-C. Bureau, R. Nehring and A. Somwaru (1997). “Agricul-tural Productivity Revisited”, American Journal of Agricultural Eco-nomics, 79, 1045–1063.

[2] Ball, V.E., F.M. Gollop, A. Kelly-Hawke and G.P. Swinland (1999).“Patterns of State Productivity Growth in the U.S. Farm Sector: Link-ing State and Aggregate Models”, American Journal of AgriculturalEconomics, 81, 164-179.

[3] CSO (1961). “Productivity Measurement in Agriculture”, Economic

Trends, No. 91 (a publication of the Central Statistical O¢ce, U.K.)

[4] Diewert, W.E. (2005). “Index Number Theory Using Di¤erences Ratherthan Ratios”, The American Journal of Economics and Sociology, 64,311-360.

[5] Diewert, W.E. (2000). “Productivity Measurement using Di¤erencesRather Than Ratios”, Discussion Paper 2000/1, School of Economics,University of New South Wales.

[6] Diewert, E., A. Harrison and P. Schreyer (2004). “Cost of Capital Ser-vices in the Production Account”. Paper presented at the meeting ofthe Canberra Group, London, September.

[7] ERS (2002). Agricultural Income and Finance Outlook, AIS-79, Eco-nomic Research Service, United States Department of Agriculture, Sep-tember.

[8] Gardner, B.L. (1992). “Changing Economic Perspectives on the FarmProblem”, Journal of Economic Literature, 30, 62-101.

[9] Gordon, D.V., D.P. Dupont, K.J. Fox and R.Q. Grafton (2003). “Pro…tandPrice E¤ects of Multi-Species Individual Transferable Quotas”, Dis-cussion Paper 2003-08, Department of Economics, University of Cal-gary.

[10] Harper, M.J., E. R. Berndt and D. O. Wood (1989). “Rates of Return

and Capital Aggregation Using Alternative Rental Prices”; in Jorgen-son, D. W. and R. Landau (eds.), Technology and Capital Formation,Cambridge:MIT Press.

22

[11] Hottel, J.B. and B.L. Gardner (1983). “The Rate of Return to In-vestment in Agriculture and Measuring Net Farm Income”, AmericanJournal of Agricultural Economics, 65, 553-557.

[12] Han, S.-H. and Hughes, A. (1999). “Pro…t Composition Analysis: ATechnique for Linking Productivity Measurement & Financial Perfor-mance”, Research and Information Paper TRP 99-5, New South WalesTreasury.

[13] Hulten, C.R. (2001). “Total Factor Productivity: A Short Biography”,in Hulten, C.R., E.R. Dean and M.J. Harper (eds), New Developmentsin Productivity Analysis, Chicago: University of Chicago Press.

[14] Mishra, A.K., H. S. El-Osta, M. J. Morehart, J. D. Johnson, and J.W. Hopkins (2002). “Income, Wealth, and the Economic Well-Being of

Farm Households”, Agricultural Economic Report No. 812, EconomicResearch Service, United States Department of Agriculture

[15] Lawrence, D., W.E. Diewert and K.J. Fox (2004). “The Contribu-tions of Productivity, Price Changes and Firm Size to Productiv-ity”, paper downloaded as a pdf from the worldwide web via the url:

http://www.ipeer.ca/SSHRC.htm

[16] Schnepf, R. (2006). ”The U.S. Farm Economy”, Con-gressional Research Service report RS21970, September6 (available on worldwide web as a pdf …le via the urlhttp://fpc.state.gov/documents/organization/75261.pdf)

[17] Shreyer, P. (2004). “Measuring Multi-Factor Productivity when Ratesof Return are Exogenous”, paper presented at the SSHRC InternationalConference on Index Number Theory and the Measurement of Pricesand Productivity, Vancouver, June 30-July 3. Paper downloaded as pdf

from the worldwide web via the url: http://www.ipeer.ca/SSHRC.htm

[18] Stam, J.M. and B. L. Dixon (2004). “Farmer Bankruptcies and FarmExits in the United States, 1899-2002”, Agriculture Information Bul-letin Number 788, Economic Research Service, United States Depart-ment of Agriculture.

[19] USDA(2000). “Commodity Costs and Returns Estimation Handbook,Report of the AAEA Task Force on Commodity Costs and Re-turns, February (available on worldwide web as a pdf …le via the urlhttp://www.economics.nrcs.usda.gov/care/Aaea).

23

Appendix A. The Data

The data for the aggregates listed in Table 1 were obtained from EldonBall (Economic Research Service). While the output and input variables aredocumented in [1] and at the ERS web site1, the main features of the dataare reiterated here.

The output data underlying the aggregates used here cover over 100 com-modities and commodity aggregates. Output for each commodity was derivedas the quantity sold to the non-farm sector plus net additions to inventory andconsumption by farm-households. Net additions to inventory re‡ect any useof the commodity within farm and transactions between farms (e.g. grain forfeed), since this consumption is assumed to be drawn out of opening stocks;thus, output is measured in gross rather than value-added terms. Price datafor each of these commodities was then used, along with the quantity data,to compute Fisher Ideal indexes for the ten aggregates listed in Table A1.

‘Capital excluding Land’ is an aggregate measure of capital services from:(i) automobiles, trucks, tractors, other farm machinery; (ii) farm structures(excluding residential) and (iii) crop/livestock inventories. Capital stocks forthe various items in (i) and (ii) were constructed using investment data anda hyperbolic decay formula. User costs for these items were also constructedbased on the formula corresponding to hyperbolic decay, which includes theinvestment de‡ators and opportunity cost of capital.

‘Land’ is a quality-adjusted quantity and price index. The quantity indexwas constructed using land area and value data for agricultural districtsacross the United States. The price is an ex ante real bond rate.

‘Hired Labour’ is a quality-adjusted quantity and price index for hiredagricultural labour. Changes in the quality of hired labour over time wereaccounted for using cross-classi…cations based on characteristics such as ageand education. A quantity index for hired labour was then computed usingthe cross-classi…ed data – the aggregation method gives greater weight toan hour of labour from an employee with a higher marginal product (wage)than one with a lower marginal product. The price index was then computedimplicitly as the ratio of total expenditure on hired labour to the quality-adjusted quantity index.

1See the web page www.ers.usda.gov/data/AgProductivity/methods.htm.

124

The ‘Farm-Produced Inputs’ aggregate is a Fisher Ideal index computedusing farm use data for each of the 100 or so outputs produced. These datainclude seed and feed that are drawn from opening stocks and used on-farm.

The ‘Purchased Materials’ and ‘Purchased Services’ aggregates are alsoFisher Ideal indexes constructed using data for a variety of materials and ser-vices purchased from businesses outside of the agricultural sector. Purchasedmaterials include feed, seed and fertilizer purchased from agricultural inputsuppliers. Purchased services include veterinary services, custom machineservices and equipment leasing.

The …nal input category, ‘Unpaid Operator and Family Labour’ is thetotal hours of unpaid work that operators and their families supplied to theirfarming enterprises. These data are not used when computing the input costcomponents of the Bennet decomposition, but do provide the denominatorin (10) when computing the real implicit wage to operator and unpaid familylabour and in computing the ‘CPI-hours in‡ation factor’

The hours of operator and unpaid family labour are also taken from theERS database. The CPI data are from the United States Bureau of LabourStatistics (BLS). The input series, hours of operator/unpaid family labourseries and the CPI series are given in Table A2.

225

18/0

4/20

07da

ta_t

able

.xls

Tab

le A

1.1

Un

ited

Sta

tes

Ag

ricu

ltu

ral O

utp

uts

: C

rop

s, 1

948-

2002

Cro

ps

1. G

rain

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age

Cro

ps2.

Ind

ustr

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rops

3.

Ve

ge

tab

les

4. F

ruits

and

Tre

e N

uts

5. O

ther

pric

eim

plic

itpr

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imp

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pric

eim

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it

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ar

ind

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an

tity

ind

ex

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an

tity

ind

ex

qu

an

tity

ind

ex

qu

an

tity

ind

ex

qu

an

tity

19

48

0.4

63

29

,36

90

.41

01

3,1

81

0.3

81

8,5

18

0.2

29

4,9

36

0.2

63

2,5

96

19

49

0.4

26

26

,58

50

.36

31

4,0

23

0.3

10

8,5

70

0.2

13

4,3

57

0.2

56

2,7

34

19

50

0.3

83

26

,67

70

.44

41

1,1

08

0.2

84

8,6

66

0.2

76

4,3

10

0.2

39

3,1

78

19

51

0.4

19

25

,89

10

.43

91

4,0

76

0.3

29

7,8

97

0.2

43

4,7

53

0.2

75

2,7

85

19

52

0.4

32

28

,07

80

.42

71

4,0

66

0.4

21

8,2

95

0.2

35

4,6

67

0.2

89

2,6

38

19

53

0.3

99

27

,48

70

.40

81

4,5

60

0.3

04

8,7

80

0.2

51

4,7

77

0.2

58

2,7

30

19

54

0.4

06

27

,38

00

.40

71

3,8

26

0.2

92

8,1

77

0.2

45

4,9

85

0.2

55

2,6

53

19

55

0.3

75

28

,20

10

.37

81

4,7

08

0.3

09

8,3

26

0.2

45

5,2

06

0.2

64

2,3

62

19

56

0.3

61

28

,10

30

.38

41

4,4

33

0.3

45

8,4

92

0.2

62

5,1

88

0.2

62

2,6

29

19

57

0.3

43

29

,82

00

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71

2,4

57

0.3

00

8,3

53

0.2

44

5,2

89

0.2

97

2,2

08

19

58

0.3

47

33

,96

70

.37

81

3,7

24

0.3

04

8,5

94

0.2

85

4,8

97

0.2

71

2,4

70

19

59

0.3

33

32

,48

20

.37

81

4,9

32

0.3

07

8,4

58

0.2

84

5,3

22

0.2

64

3,0

77

19

60

0.3

30

35

,10

80

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21

5,5

09

0.3

38

8,3

85

0.2

69

5,6

79

0.2

77

3,3

03

19

61

0.3

42

32

,61

10

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41

6,4

12

0.2

97

8,8

95

0.2

73

5,8

98

0.2

88

3,2

86

19

62

0.3

89

32

,81

80

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91

7,1

11

0.3

08

8,6

25

0.2

62

6,0

21

0.2

72

3,7

07

19

63

0.4

00

34

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20

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61

7,9

37

0.3

07

8,6

10

0.2

90

5,7

94

0.2

80

3,7

68

19

64

0.3

91

32

,93

70

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11

7,6

79

0.3

81

8,0

14

0.3

05

5,9

10

0.2

95

3,6

94

19

65

0.3

93

36

,52

10

.40

51

7,8

08

0.4

31

8,8

61

0.2

67

6,1

86

0.3

10

3,7

12

19

66

0.4

42

36

,49

90

.44

51

6,1

02

0.3

82

8,9

57

0.2

74

6,3

69

0.3

27

3,6

71

19

67

0.3

85

40

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80

.46

11

5,1

76

0.3

74

9,0

95

0.2

86

6,3

49

0.3

32

3,7

44

19

68

0.3

72

39

,77

10

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01

7,3

32

0.3

78

9,3

83

0.3

28

6,2

33

0.3

42

3,7

79

19

69

0.3

95

40

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20

.40

51

8,8

39

0.3

91

9,1

23

0.2

93

7,4

01

0.3

48

3,8

44

19

70

0.4

24

37

,39

00

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81

8,0

59

0.3

95

9,2

53

0.2

95

7,0

15

0.3

50

3,9

77

19

71

0.3

99

45

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80

.48

81

8,4

59

0.4

03

9,1

85

0.3

16

7,3

03

0.3

65

4,0

89

19

72

0.4

41

43

,90

90

.52

12

0,3

27

0.4

35

9,3

26

0.3

90

6,5

64

0.3

94

4,0

82

19

73

0.6

71

45

,98

60

.73

72

1,8

19

0.5

78

9,3

81

0.4

33

7,9

49

0.4

29

4,5

77

19

74

0.8

78

41

,52

30

.96

81

9,1

26

0.7

11

10

,01

70

.42

28

,14

40

.45

64

,32

9

19

75

0.7

80

48

,39

60

.74

12

1,2

86

0.6

63

9,6

90

0.4

08

8,7

25

0.4

78

5,4

67

19

76

0.7

42

48

,70

50

.80

32

0,0

99

0.6

53

10

,24

00

.43

98

,46

10

.50

15

,68

4

19

77

0.6

51

50

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80

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72

4,4

05

0.6

58

10

,37

60

.51

58

,94

30

.51

95

,91

8

26

18/0

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le A

1.1

Un

ited

Sta

tes

Ag

ricu

ltu

ral O

utp

uts

: C

rop

s, 1

948-

2002

Cro

ps

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les

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ase

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Ag

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31

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69

39

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42

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20

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74

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02

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51

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80

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42

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0.8

17

25

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40

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04

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32

0,5

18

Not

e: T

he b

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year

for

all p

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xes

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All

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titie

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Ser

vice

(E

RS

)C

onta

ct: E

ldon

Bal

l, U

SD

A, E

RS

, Res

ourc

e E

cono

mic

s D

ivis

ion

Roo

m N

4086

, 180

0 M

Stre

et N

W, W

ashi

ngto

n D

C, 2

0036

tele

phon

e: 2

02-6

94-5

601

; em

ail:

ebal

l@er

s.us

da.g

ov

29

18/0

4/20

07da

ta_t

able

.xls

Tab

le A

2. U

nit

ed S

tate

s A

gri

cult

ura

l In

pu

ts a

nd

Co

nsu

mer

Pri

ce In

dex

, 194

8-20

02

1. C

apita

l exc

l. La

nd2.

Lan

d3.

Hire

d La

bour

4. F

arm

-Pro

duce

d In

puts

5. P

urch

ased

Mat

eria

ls6.

Pur

chas

ed S

ervi

ces

7. O

pera

tor/

Unp

aid

pric

eim

plic

itre

al r

ate

cons

tant

$ v

alue

pric

eim

plic

itpr

ice

impl

icit

pric

eim

plic

itpr

ice

impl

icit

F

amily

Lab

our

CP

IY

ear

inde

xqu

antit

yof

ret

urn

(Mill

ion

$199

6)in

dex

quan

tity

inde

xqu

antit

yin

dex

quan

tity

inde

xqu

antit

y

(m

illio

n ho

urs)

1996

=119

480.

110

18,8

980.

09%

827,

770

0.16

618

,144

0.41

317

,408

0.27

621

,179

0.14

713

,889

17,9

200.

154

1949

0.11

021

,503

0.07

%83

0,62

20.

167

16,8

570.

374

19,8

250.

260

24,0

270.

147

13,5

1617

,766

0.15

219

500.

109

23,9

390.

07%

832,

605

0.16

117

,574

0.32

818

,938

0.25

925

,598

0.14

714

,060

16,4

390.

154

1951

0.12

226

,135

0.08

%83

3,48

20.

172

16,9

680.

372

18,6

300.

278

27,8

600.

158

15,4

1615

,574

0.16

619

520.

126

26,7

160.

08%

833,

014

0.17

416

,579

0.38

918

,810

0.29

327

,844

0.15

916

,450

14,8

120.

169

1953

0.12

928

,812

0.11

%83

1,06

50.

171

16,1

050.

344

19,0

120.

264

28,6

750.

168

15,6

3313

,707

0.17

019

540.

125

29,9

690.

11%

827,

271

0.17

315

,184

0.35

117

,648

0.28

027

,650

0.17

015

,219

13,3

150.

171

1955

0.12

830

,515

0.12

%82

1,15

50.

175

14,9

230.

327

18,0

530.

244

32,0

300.

172

15,8

9213

,538

0.17

119

560.

139

30,9

020.

16%

812,

885

0.19

113

,627

0.31

418

,349

0.23

433

,492

0.18

016

,550

12,8

920.

173

1957

0.15

830

,579

0.26

%80

3,33

70.

209

13,0

730.

295

18,7

180.

230

35,0

050.

187

16,7

7411

,858

0.17

919

580.

165

30,4

050.

30%

794,

053

0.22

013

,169

0.29

520

,904

0.24

635

,120

0.18

817

,725

10,9

960.

184

1959

0.17

730

,672

0.35

%78

6,95

30.

232

12,8

540.

283

20,7

820.

244

36,4

430.

191

20,8

1111

,007

0.18

519

600.

179

31,0

330.

38%

783,

372

0.24

312

,856

0.29

219

,784

0.23

237

,927

0.19

420

,252

10,6

290.

189

1961

0.18

030

,851

0.38

%78

2,15

70.

251

12,7

970.

272

19,7

580.

250

36,9

020.

196

19,9

0710

,060

0.19

119

620.

182

30,7

810.

39%

781,

634

0.26

312

,776

0.30

420

,125

0.25

338

,972

0.19

920

,075

9,75

20.

192

1963

0.18

331

,021

0.38

%78

0,53

60.

270

12,7

540.

325

20,9

160.

261

40,8

120.

201

19,8

329,

344

0.19

519

640.

183

31,4

420.

39%

778,

014

0.30

411

,502

0.31

520

,345

0.25

841

,969

0.20

619

,117

8,83

60.

198

1965

0.18

831

,820

0.41

%77

3,41

30.

332

10,8

280.

316

19,2

290.

265

42,3

890.

210

19,4

788,

628

0.20

119

660.

191

32,7

160.

41%

766,

786

0.37

19,

754

0.36

321

,078

0.27

744

,675

0.21

519

,646

8,04

20.

207

1967

0.20

333

,693

0.51

%75

8,26

80.

404

9,06

20.

324

20,1

160.

277

47,3

710.

225

20,4

427,

578

0.21

319

680.

200

34,9

330.

48%

748,

054

0.43

38,

770

0.30

020

,731

0.26

848

,539

0.23

519

,967

7,20

40.

222

1969

0.21

235

,543

0.57

%73

6,45

60.

458

8,84

60.

317

20,7

300.

262

52,7

570.

247

19,2

826,

942

0.23

419

700.

243

35,9

250.

82%

724,

018

0.47

68,

914

0.34

220

,721

0.27

455

,160

0.26

218

,376

6,75

50.

247

1971

0.25

136

,244

0.87

%71

1,83

60.

482

8,81

50.

344

20,0

960.

283

55,5

830.

281

18,3

166,

592

0.25

819

720.

261

36,7

540.

94%

701,

186

0.49

98,

779

0.36

121

,722

0.29

256

,419

0.29

218

,226

6,49

40.

266

1973

0.29

337

,347

1.22

%69

3,34

10.

580

8,90

90.

553

21,8

070.

392

58,4

370.

312

19,4

326,

478

0.28

319

740.

333

38,9

881.

38%

689,

517

0.63

79,

482

0.77

921

,135

0.48

058

,959

0.35

019

,453

5,70

50.

314

1975

0.31

040

,234

1.00

%69

0,25

90.

680

9,63

00.

723

20,1

930.

556

51,4

380.

389

19,6

865,

625

0.34

319

760.

320

41,1

781.

03%

693,

645

0.75

69,

738

0.72

321

,126

0.56

855

,080

0.41

420

,805

5,48

20.

363

1977

0.37

142

,109

1.63

%69

7,21

80.

829

9,49

90.

642

20,3

160.

588

53,6

960.

448

21,2

765,

302

0.38

619

780.

414

43,1

232.

10%

698,

518

0.91

48,

932

0.62

323

,160

0.59

960

,123

0.48

624

,742

5,05

70.

416

1979

0.49

443

,948

2.78

%69

5,86

70.

957

9,26

80.

692

24,3

960.

677

62,9

220.

537

26,0

584,

809

0.46

319

800.

644

45,8

674.

43%

690,

287

1.00

09,

190

0.82

025

,519

0.77

963

,153

0.59

823

,474

4,67

60.

525

30

18/0

4/20

07da

ta_t

able

.xls

Tab

le A

2. U

nit

ed S

tate

s A

gri

cult

ura

l In

pu

ts a

nd

Co

nsu

mer

Pri

ce In

dex

, 194

8-20

02

1. C

apita

l exc

l. La

nd2.

Lan

d3.

Hire

d La

bour

4. F

arm

-Pro

duce

d In

puts

5. P

urch

ased

Mat

eria

ls6.

Pur

chas

ed S

ervi

ces

7. O

pera

tor/

Unp

aid

pric

eim

plic

itre

al r

ate

cons

tant

$ v

alue

pric

eim

plic

itpr

ice

impl

icit

pric

eim

plic

itpr

ice

impl

icit

F

amily

Lab

our

CP

IY

ear

inde

xqu

antit

yof

ret

urn

(Mill

ion

$199

6)in

dex

quan

tity

inde

xqu

antit

yin

dex

quan

tity

inde

xqu

antit

y

(m

illio

n ho

urs)

1996

=119

810.

830

45,3

726.

41%

683,

459

0.98

29,

148

0.85

323

,570

0.83

860

,266

0.66

322

,296

4,73

40.

579

1982

0.85

844

,784

6.55

%67

7,03

61.

218

8,20

90.

832

25,2

330.

808

57,2

350.

690

24,2

384,

635

0.61

519

830.

914

43,7

526.

82%

672,

248

1.06

39,

068

1.00

826

,172

0.82

157

,307

0.69

923

,842

4,33

20.

635

1984

1.00

541

,757

7.18

%66

8,76

01.

148

8,44

80.

865

21,5

360.

824

58,9

890.

721

22,9

094,

393

0.66

219

850.

912

40,9

335.

46%

665,

889

1.33

67,

357

0.78

722

,144

0.76

856

,175

0.72

323

,464

4,18

40.

686

1986

0.81

938

,537

3.96

%66

2,99

31.

295

7,09

40.

653

21,0

290.

713

58,8

100.

721

21,7

033,

826

0.69

919

870.

865

36,2

914.

11%

659,

500

1.29

87,

254

0.60

619

,949

0.72

857

,663

0.75

422

,373

3,75

20.

724

1988

0.90

535

,021

4.02

%65

5,06

11.

399

7,62

10.

831

18,9

820.

802

59,0

260.

795

22,5

043,

825

0.75

419

890.

907

33,9

843.

66%

650,

162

1.64

46,

996

0.86

016

,678

0.83

858

,987

0.83

924

,066

3,91

00.

790

1990

0.94

033

,335

3.98

%64

5,51

81.

907

7,10

50.

831

19,0

260.

833

62,0

600.

866

23,1

323,

812

0.83

319

910.

924

33,0

003.

87%

641,

963

1.86

87,

151

0.77

419

,319

0.83

263

,414

0.87

324

,270

3,84

50.

868

1992

0.90

432

,152

3.76

%64

0,33

11.

953

6,71

80.

758

18,5

530.

830

62,9

050.

887

23,5

703,

666

0.89

419

930.

919

31,4

823.

91%

641,

154

2.17

16,

592

0.80

318

,402

0.83

665

,403

0.91

826

,559

3,49

50.

921

1994

0.96

530

,523

4.12

%64

3,56

62.

222

6,55

30.

838

18,5

630.

869

66,7

880.

934

27,5

863,

558

0.94

519

950.

996

30,2

284.

40%

646,

468

2.30

97,

165

0.87

719

,192

0.89

469

,042

0.96

028

,748

3,60

60.

971

1996

1.00

029

,348

4.58

%64

8,92

42.

553

6,49

31.

000

17,4

151.

000

65,5

641.

000

27,6

473,

623

1.00

019

971.

030

29,1

864.

90%

650,

124

2.57

06,

833

0.96

517

,838

0.97

270

,494

1.00

429

,291

3,57

61.

023

1998

1.01

428

,983

4.71

%64

9,61

62.

683

6,96

00.

839

18,2

370.

880

75,7

290.

990

30,8

593,

402

1.03

919

991.

123

28,8

856.

11%

647,

387

2.66

47,

299

0.73

319

,133

0.85

176

,910

0.99

331

,742

3,47

91.

062

2000

1.15

928

,678

6.38

%64

3,76

72.

537

6,92

10.

745

18,3

560.

904

73,5

321.

035

29,9

803,

404

1.09

820

011.

119

28,6

225.

77%

639,

096

2.72

56,

854

0.82

317

,256

0.93

473

,487

1.06

930

,630

3,35

91.

129

2002

1.13

428

,698

5.99

%63

3,77

12.

844

6,83

70.

864

16,8

640.

929

74,5

181.

084

28,6

133,

330

1.14

7

Not

e 1:

The

bas

e ye

ar fo

r al

l pric

e in

dexe

s is

199

6. A

ll im

plic

it qu

antit

ies

are

Mill

ions

of 1

996

Dol

lars

.In

put D

ata

Sou

rce:

Uni

ted

Sta

tes

Dep

artm

ent o

f Agr

icul

ture

(U

SD

A),

Eco

nom

ic R

esea

rch

Ser

vice

(E

RS

)In

put D

ata

Con

tact

: Eld

on B

all,

US

DA

, ER

S, R

esou

rce

Eco

nom

ics

Div

isio

n, R

oom

N40

86, 1

800

M S

tree

t NW

, Was

hing

ton

DC

, 200

36.

Tel

epho

ne:

202-

694-

5601

; em

ail:

ebal

l@er

s.us

da.g

oC

PI S

ourc

e: U

nite

d S

tate

s D

epar

tmen

t of L

abor

, Bur

eau

of L

abou

r S

tatis

tics

(BLS

)N

ote

2: C

PI d

ata

data

obt

aine

d by

follo

win

g th

e m

enu

star

ting

from

http

://st

ats.

bls.

gov/

cpi/h

ome.

htm

#dat

a. T

he s

peci

fics

of th

e se

ries

are:

S

erie

s Id

CU

UR

0000

SA

0, N

ot S

easo

nally

Adj

uste

d, U

.S. c

ity a

vera

ge, A

ll ite

ms,

Bas

e P

erio

d: 1

982-

84=

100

31

US

_KLL

EM

S_1

0out

_LA

B.x

lsbe

nnet

_rea

l_la

b_t2

18/0

4/20

07

Tab

le B

1. D

eco

mp

osi

tio

n o

f R

eal I

mp

licit

Wag

e to

Op

erat

or

and

Un

pai

d F

amily

Lab

ou

r, U

.S. A

gri

cult

ure

, 194

9-20

02A

LL V

ALU

ES

AR

E 1

996

DO

LLA

RS

PE

R H

OU

R

im

plic

it w

age

grow

th d

ecom

posi

tion*

real

chan

ge in

impl

icit

real

impl

icit

outp

ut p

rice

inpu

t pric

epr

oduc

tivity

CP

I-ho

urs

wag

ew

age*

grow

th c

ompo

nent

grow

th c

ompo

nent

grow

th c

ompo

nent

fact

orye

arpe

r ho

ur(A

)(B

)(C

)(D

)(E

)

1948

7.53

-

-

-

-

1949

5.55

-1.9

8-1

.94

0.43

-0.6

30.

1619

506.

030.

48-0

.01

0.41

-0.2

90.

3719

517.

051.

011.

60-0

.81

0.36

-0.1

319

527.

04-0

.01

-0.3

4-0

.33

0.44

0.22

1953

6.36

-0.6

8-1

.80

0.52

0.09

0.51

1954

6.19

-0.1

7-0

.51

-0.2

30.

430.

1419

555.

60-0

.59

-0.9

80.

55-0

.08

-0.0

819

565.

40-0

.19

-0.1

7-0

.22

0.00

0.19

1957

4.85

-0.5

50.

10-0

.60

-0.3

30.

2819

586.

261.

411.

04-0

.61

0.75

0.24

1959

5.34

-0.9

2-0

.92

-0.3

00.

35-0

.05

1960

5.82

0.48

-0.1

6-0

.15

0.69

0.10

1961

6.63

0.81

0.37

-0.2

40.

410.

2719

627.

000.

370.

85-0

.59

-0.0

40.

1419

637.

210.

21-0

.01

-0.4

70.

480.

2119

646.

98-0

.23

-0.2

9-0

.11

-0.1

40.

3219

658.

871.

881.

52-0

.60

0.91

0.05

1966

10.1

61.

292.

99-1

.27

-0.8

10.

3819

678.

83-1

.33

-1.9

8-0

.52

0.88

0.30

1968

9.76

0.93

0.18

0.48

0.19

0.09

1969

10.5

90.

821.

98-0

.95

-0.0

4-0

.16

1970

8.47

-2.1

11.

54-2

.70

-0.6

6-0

.30

1971

9.44

0.97

-0.3

3-0

.96

2.41

-0.1

519

7212

.32

2.89

4.39

-1.1

9-0

.16

-0.1

619

7319

.67

7.34

14.6

1-7

.74

1.16

-0.6

919

7415

.64

-4.0

36.

99-7

.75

-3.7

20.

4519

7515

.67

0.04

-3.7

0-0

.34

5.18

-1.1

019

7613

.51

-2.1

60.

57-1

.23

-1.0

3-0

.47

32

US

_KLL

EM

S_1

0out

_LA

B.x

lsbe

nnet

_rea

l_la

b_t2

18/0

4/20

07

Tab

le B

1. D

eco

mp

osi

tio

n o

f R

eal I

mp

licit

Wag

e to

Op

erat

or

and

Un

pai

d F

amily

Lab

ou

r, U

.S. A

gri

cult

ure

, 194

9-20

02A

LL V

ALU

ES

AR

E 1

996

DO

LLA

RS

PE

R H

OU

R

im

plic

it w

age

grow

th d

ecom

posi

tion*

real

chan

ge in

impl

icit

real

impl

icit

outp

ut p

rice

inpu

t pric

epr

oduc

tivity

CP

I-ho

urs

wag

ew

age*

grow

th c

ompo

nent

grow

th c

ompo

nent

grow

th c

ompo

nent

fact

orye

arpe

r ho

ur(A

)(B

)(C

)(D

)(E

)

1977

11.5

0-2

.01

-1.4

7-3

.50

3.35

-0.3

919

7812

.38

0.88

6.53

-3.3

2-2

.04

-0.2

919

7912

.83

0.45

6.35

-7.3

62.

15-0

.69

1980

0.06

-12.

763.

18-1

2.09

-2.6

5-1

.20

1981

-1.8

1-1

.88

1.53

-10.

176.

77-0

.01

1982

-3.0

2-1

.21

-1.8

0-0

.90

1.42

0.07

1983

-7.7

0-4

.68

7.41

-3.0

7-8

.91

-0.1

119

84-1

.38

6.32

-2.7

6-1

.50

10.1

60.

4219

853.

284.

66-5

.80

6.52

3.96

-0.0

219

869.

185.

90-0

.63

7.54

-1.2

50.

2419

8710

.96

1.78

0.95

-1.2

72.

24-0

.15

1988

8.52

-2.4

34.

79-3

.87

-2.7

2-0

.64

1989

14.1

95.

671.

87-1

.04

5.40

-0.5

719

9014

.38

0.20

0.47

-1.5

31.

64-0

.38

1991

11.9

6-2

.42

-2.3

70.

77-0

.12

-0.7

019

9215

.91

3.95

-0.9

70.

264.

450.

2219

9312

.77

-3.1

52.

43-1

.53

-4.3

40.

3019

9415

.18

2.42

-1.4

7-1

.89

6.32

-0.5

419

9510

.11

-5.0

72.

10-1

.85

-4.7

0-0

.62

1996

14.4

44.

333.

48-3

.72

4.90

-0.3

319

9711

.81

-2.6

4-2

.49

-0.1

70.

16-0

.14

1998

10.2

7-1

.53

-3.7

12.

90-1

.14

0.42

1999

5.30

-4.9

7-2

.94

-2.1

30.

55-0

.45

2000

6.21

0.91

0.63

-2.0

12.

34-0

.06

2001

5.93

-0.2

8-0

.01

-0.2

10.

03-0

.09

2002

4.30

-1.6

3-0

.27

-0.9

0-0

.42

-0.0

4

aver

age

1948

-200

28.

31-0

.06

0.75

-1.3

60.

64-0

.09

* N

ote

that

thes

e ar

e al

l cha

nges

in r

elat

ive

to th

e pr

evio

us y

ear.

33