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Gross Value Added

Gross Value Added (GVA) is the typical measure of goods and services produced when analysing productivity. GVA is the difference between total output and intermediate consumption in the economy. In other words, it is the difference between the value of goods and services produced and the cost of raw materials and other inputs that are used up in the production process.

GVA reported in current prices is the value for that particular year, while GVA at constant prices presents the data for each year in the value of a particular base year. GVA at constant prices are used since current prices are influenced by inflation. GVA is sourced from the National Income and Expenditure dataset, which is published annually by the CSO.

Relationship between GVA and GDP and GNI

GVA is Gross Domestic Product (GDP) excluding taxes and subsidies on products. Gross National Income is equal to GDP at market prices plus net factor income from the rest of the world plus EU subsidies less EU taxes.

Foreign and Domestic and Other sectors of the economy

This publication separates the economy into sectors that are Foreign-dominated and Domestic and Other. Foreign-owned Multinational Enterprise (MNE) dominated NACE A64 sectors occur where MNE turnover on average exceeds 85% of the sector total. These sectors are Chemicals and chemical products (NACE 20), Software and Communications sectors (NACE 58-63) and Reproduction of recorded media, Basic pharmaceutical products and Pharmaceutical preparations, Computer, electronic and optical products, Electrical equipment, Medical and dental instruments and supplies (NACE 18.2, 21, 26, 27 and 32.5). Redomiciled PLCs (also known as corporate inversions) are considered to be foreign-owned MNEs in this analysis. All other sectors are categorised as Domestic and Other sectors.

Current and Constant data

This publication uses two methods for converting data from current to constant prices. One is the previous year’s prices method (PYP). This is used in calculating capital services where data aggregation is required for weighting. Chain-linked GVA is used in the rest of the publication.

Labour Input

Labour input is the change in hours worked multiplied by the two-period average of the labour share of GVA. Hours worked is usually considered to be a more precise measure of labour than employment as it takes account of differences in hours worked in different jobs due to factors such as leave, part-time working arrangements and time unemployed during the year. The measurement of hours worked in this publication includes both employees and self-employed people. Hours worked for employees and self-employed were sourced from the Quarterly National Household Survey (QNHS) up until 2011. From 2011 onwards, hours of the self-employed continued to be sourced from the QNHS, while hours worked by employees is now sourced from the Earnings, Hours and Employment Cost Survey (EHECS), with the exception of the hours for those in Agriculture, which continues to be sourced from the QNHS. The number of people in employment includes both employees and self-employed. Employees, with the exception of Agriculture are sourced from the Earnings, with the exception of Agriculture are sourced from the Earnings, Hours and Employment cost survey. The self-employed are sourced from the Quarterly National Household Survey.

The QNHS is a large-scale, nationwide survey of households in Ireland. It is designed to produce quarterly labour force estimates that include the official measure of employment and unemployment in the state (ILO basis). The survey size is 26,000 households each quarter. EHECS is a quarterly survey designed to produce indices for the purpose of monitoring change in labour costs in Ireland and across the European Union. The survey size is 7500 enterprises each quarter. It includes all enterprises in the NACE sectors B-S with 50 or more employees and a sample of those with 3 to 49 employees are surveyed each quarter.

Illustration of Difference between Labour Productivity using Hours Worked and Employment

X-axis labelGVA per HourGVA per Employee
20004.875014.38037
20013.829323.33566
20026.44758515.38212
20032.005971.06879
20043.777653.14375
2005-0.242180.179804
20060.3385650.105151
20071.993981.24057
2008-0.929-2.0466
20097.36999285.50121
20107.05716536.4354935
201110.18739034.12492
20120.3266870.640279
2013-1.7691-1.0751
20145.708146.4144454
201523.490059424.1644835
20162.214582.10534

The above chart compares growth of GVA per Hour and GVA per Employee. GVA per Hour and GVA per Employee are calculated as GVA divided by the total number of hours and the total employment of both the self-employed and the employees. GVA per hour is usually considered to be a more precise measure of labour productivity as it takes account of differences in hours worked in different jobs due to factors such as leave, part-time working arrangements and time unemployed during the year. Both measures mostly follow a very similar trend over the period. However, there is over a five-percentage point difference in labour productivity increase measured by GVA per hour rather than GVA per employee in 2011 and a one-percentage point difference 2009.

X-axis labelTotal GVA per Hour GrowthTotal GVA per Employee GrowthTotal Labour Hours GrowthTotal Employment GrowthTotal Real GVA Growth
20004.875013823174014.380386725650193.989513819172564.482288688157119.05901699250868
20013.829316566446843.335670626058562.621852553766863.112088506186546.5515681544029
20026.447585069194865.382107940045850.5560381025609551.572720733895957.03947420143557
20032.005969133333171.068782730593220.9208188327876311.856633202053212.94525930768044
20043.777652065271123.143770196057792.761117280509243.392647512343926.64307474975207
2005-0.2421847117237940.1798087831658235.355776435510634.911979897616875.10062085206594
20060.3385646649557240.1051459002200274.378748749344364.622132427362384.73213831033254
20071.993982427143011.240572617267833.600068850363214.371037506088675.66583601774752
2008-0.929003381378096-2.04663379717497-1.7504430718051-0.629433172725696-2.66318477785703
20097.369992814313125.50123129154583-9.44482611912702-7.84080669144442-2.77091631111794
20107.057165335267866.43548811006095-4.61233364024052-4.05518544846282.1193316842214
201110.18739028974764.12491851167496-6.01817140907863-0.546261403019543.55612427092013
20120.3266865983242410.64028909027688-0.272919922894679-0.5836767888580180.0528750826173166
2013-1.76914430735596-1.075084628328713.236034433909982.511727835779041.40964000758242
20145.70814183084266.414462534751852.36353639582451.684103512741288.20659223636436
201523.490059368960124.16448121165283.085679592462962.5257510741979927.3005669296285
20162.214580746797092.105338180039842.70654413556342.816429932957774.98106348769024

The differences in measured labour productivity growth in 2011 and 2009 are due to larger falls in labour hours than employment. These instances are a form of labour hoarding where employers reduce the hours of employees rather than making them redundant.

Calculating Labour Productivity

Labour productivity measures output in the economy relative to labour input. It is calculated as GVA at constant prices divided by labour hours in the economy.

Labour Productivity = GVA
Total Hours of the Employed and Self-Employed

 

 

Contributions to Labour Productivity Growth

In order to look at labour productivity in more detail, it is possible to break labour productivity growth into the contribution of capital deepening and MFP.

The contribution to labour productivity growth is calculated as follows:

Labour Productivity Growth = ln ( Labour Productivityt ) = ln ( GVAt ) - ln ( Hours Workedt )
 Labour Productivityt-1  GVAt-1  Hours Workedt-1

Capital deepening, otherwise known as the growth in capital services per hour worked, is calculated as follows:

Capital Deepening = ln ( Capital Servicest ) - ln ( Hours Workedt )
 Capital Servicest-1  Hours Workedt-1

The contribution of capital deepening to labour productivity growth is calculated below:

Capital Share two-period average ( ln ( Capital Servicest ) - ln ( Hours Worked t ))
 Capital Servicest-1  Hours Worked t-1

Further information can be found here: https://www.oecd-ilibrary.org/industry-and-services/oecd-compendium-of-productivity-indicators-2016_pdtvy-2016-en

Nominal Unit Labour Costs

Nominal unit labour cost (ULC) measures employee compensation relative to real labour productivity. Growth in an economy’s unit labour cost suggests that the cost of labour in the economy is rising relative to labour productivity, decreasing competitiveness. On the other hand, a decline in unit labour cost suggests that the cost of labour is declining relative to labour productivity, increasing competitiveness.

Nominal ULC (ULC) is calculated as:

Compensation of employees in current prices/Total employment, not including self-employed
Chain-linked GDP at market prices/Total employment, including self-employed

 

 

The sectoral breakdowns in unit labour cost between the Domestic & Other and Foreign sectors in this publication are calculated using GVA rather than GDP since taxes and subsidies, which are included in GDP, cannot be disaggregated by sector.

Capital Input

Capital input is the flow of capital services multiplied by the two-period average of the capital share of GVA. This publication terms capital input as capital services in charts for clarity. Capital services rather than capital stocks are used to measure capital deepening, capital input and calculate multi-factor productivity. The main difference between the volume index of capital services and the stock measure of capital is the way in which different types and ages of assets are aggregated together. In the volume index of capital services, each capital asset class is weighted by its user cost. The user cost is the estimated price that the user would have to pay to hire the asset for a period. In contrast, capital stock values are calculated using asset price weights for each asset type and period.

Calculating Capital Services

Capital services are the services derived from the net capital stock of produced fixed assets. Data on produced fixed assets are available in the CSO’s Estimates of the Capital Stock of Fixed Assets release.

The aggregate capital services index is obtained using a chained superlative Törnqvist index aggregation of the capital stocks of the six asset categories using estimated user costs (also known as rental prices) for each asset type. Each user cost reflects the nominal rate of return to all assets within the industry and rates of economic depreciation and revaluation for the specific asset. The steps in calculating capital services as follows:

1. The nominal rate of return is calculated for all assets. The numerator consists of capital compensation plus the value change in the deflator for constant productive stocks minus the product of the asset price deflator, depreciation and constant price net capital stocks. The denominator consists of the asset price deflator multiplied by productive stocks, summed for all asset types. Depreciation rates are obtained for each asset category by dividing consumption of fixed capital by constant price net capital stocks (also known as productive stocks). Capital compensation is calculated as gross value added minus labour compensation. Labour compensation is calculated by adding employee and self-employed compensation.

Rate of Return = Capital compensation + numerator term 2 + numerator term 3
 Denominator

Term 2 of Numerator =

Σ
Asset Types

(Asset Price Deflatort - Asset Price Deflatort-1) x Constant Productive Stocks

Term 3 of Numerator =

Σ
Asset Types

Asset Price Deflator x Depreciation x Productive Stock

Denominator =

Σ
Asset Types

Asset Price Deflator x Productive Stock
X-axis labelNominal Rate of Return
200031.8042206
200127.8931634
200223.9703449
200322.6195775
200420.741732
200514.982747
200616.1440918
20077.1578295
2008-3.054
2009-2.3829
201011.4632891
201118.0706134
201220.7464738
201320.1274031
201421.4858744
201518.628643
201618.8255733

2. The rate of return is then revaluated according to the depreciation rate and deflation rate for the specific asset to form user costs.

User Cost = (Overall Rate of Returnt x Asset Price Deflatort-1) + (Depreciation Rate x Asset Price Deflator) - (Asset Price Deflatort - Asset Price Deflatort-1)
All Asset TypesCultivated AssetsDwellingsIntangiblesOther Buildings and StructuresOther Machinery and EquipmentTransport Equipment
200023.779920126.082010719.884397928.250976722.943467136.915549636.7561611
200123.287574617.422923818.892536728.467798423.380264537.111488733.5011999
200223.412876915.225167117.281814730.396023626.543909637.546405129.6202903
200322.362790912.200199214.631007626.675629127.076367140.560927929.0527512
200421.11400638.33447716.333044124.908234721.912245930.876338227.1395947
200519.13663488.963233317.440378720.755382116.408792622.348711220.5726136
200619.12441866.783561315.734118924.245814418.657488518.83439922.1565851
200717.28574815.9808319.577289512.998710310.917943116.144202813.9155191
200814.4812504-13.263553720.61565792.536169.85148253.709183.10874
200914.86041456.844506119.15195989.659171313.70737881.738713.56603
201018.16146736.460306815.696669224.378938919.486722715.729226919.4896071
201119.75743660.908316.377411532.910621917.830612123.188816124.8412774
201220.320247811.066779117.713488127.16499218.165770824.771364724.5050966
201320.498991829.679129417.19146231.234001818.116598925.01561224.1180228
201421.092708217.519056416.928741334.600774218.677343822.86879326.1493481
201521.67864084.8523317.227557228.499297416.138157322.566033722.4493237
201621.697866829.671521717.367968926.101949416.493747929.249266123.4955948

3. The user costs are then weighted by industry productive stocks.

User Cost Weight = (

Σ
Asset Types

User Cost x Productive Stock)-1 User cost for all assets x Productive stock for all assets
Cultivated AssetsDwellingsIntangiblesOther Buildings and StructuresOther Machinery and EquipmentTransport EquipmentConfidential
20001.1275840.57541823.2291628.565676117.84071848.66144170
20010.8865442.12275943.5020728.565907616.41421838.50850680
20020.53231640.00195194.3373331.307025415.5608978.26047570
20030.39562337.13251214.6921733.889524215.32149088.56867570
20040.2829741.20315524.7365831.441396313.26348219.07241570
20050.21652150.86459184.7549425.07399249.09680239.99314990
20060.17784553.25934785.2365423.57507566.655732211.0954630
20070.14043659.86928934.5424120.43516515.569959.44275180
2008-0.09460873.98948242.0085516.24359453.278064.574920
2009-0.05823474.00045332.2482920.68708850.996092.126320
20100.1796755.72936036.473243826.49617663.092268.02928980
20110.088197941.619314410.675194125.71802646.784808115.11445910
20120.16573541.115887711.164103222.75061798.135253616.66840270
20130.58560740.674970411.177861722.54077018.351428516.66936250
20140.62924737.684187712.687244222.17277867.955579218.87096330
20150.23478230.003743017.23857876.291113046.5184832
20160.28316323.9850214013.01295726.1102036.3879137

4. The change in capital stocks is then weighted by the two-period average of the user cost and multiplied together to form a Törnqvist index of capital services. The log of these values can be taken to show the contributions to capital services by asset.

ln (1+Capital Services)=

Σ
Asset Type

Two-period average of user cost weight x Δ ln (productive stock)
Cultivated AssetsDwellingsIntangiblesOther Buildings and StructuresOther Machinery and EquipmentTransport and EquipmentConfidentialTotal
2000-0.0133082.23450.2716331.662231.518151.9434507.6166516
20010.00076232.336520.897641.632380.7198051.1393806.726497
2002-0.00561152.160271.025761.751830.4587552.2231307.6141337
20030.00042.176230.6900171.707720.822230.9317206.3283161
2004-0.0011792.556540.6553171.735190.5907941.4389606.9756257
2005-0.0402763.521180.6983261.36750.5475794.68128010.7755861
20060.00306483.50130.5807671.344860.3472320.8342306.6114502
2007-0.0015893.353460.3305851.390710.344550.59468206.0124
2008-0.00006983.214140.07601261.098170.116417-0.08928104.41538
20090.00131211.50640.1734720.80209-0.0184130.15520902.62006
2010-0.00525730.3569020.4070090.392843-0.0795860.65776701.72968
20110.00077570.1214350.4688680.1926560.2522650.53567201.57167
20120.00537-0.0610191.24860.3228680.05363661.3211502.8906
2013-0.0060021-0.0328660.4370860.4822320.5757680.8546802.31089
2014-0.00091890.07396241.059570.4954650.5495764.7817906.9594447
20150.01052950.086673500.4572220.503385058.793917659.8517276
20160.00381710.12877100.497590.48746502.63611693.75376

Further information on calculating capital services can be found in the following publications:

Aggregate and Industry-level Productivity Growth: OECD Manual. Organisation for Economic Co-operation and Development (2001). Available at: https://www.oecd.org/std/productivity-stats/2352458.pdf

Biatour, Bernadette, Geert Bryon, and Chantal Kegels. "Capital services and total factor productivity measurements: impact of various methodologies for Belgium." Federal Planning Bureau, Working Paper (2007): 3-07. Available at: http://core.ac.uk/download/pdf/6537802.pdf

Capital Stocks

This publication uses net capital stocks rather than gross capital stocks because, unlike the latter, they incorporate depreciation. Produced fixed assets are assets which result from human effort.  They exclude financial assets and natural assets such as land, mineral deposits etc. Produced fixed assets comprise Dwellings and other buildings and structures (excluding the land on which they are built), Machinery and equipment (including transport equipment), Cultivated assets (e.g. Livestock for breeding such as dairy cattle) and Intangible fixed assets (Research and development, Computer software, Original works of art including musical and literary works, Mineral exploration).

Capital Intensity and Capital Deepening

Capital intensity is the ratio of capital services to hours worked in the economy (i.e. capital services per hour). The higher the capital to hours ratio, the more capital intensive the production process becomes. Capital deepening is the growth in capital services per hour worked. It is also possible to show the contribution of capital deepening to labour productivity growth by weighting capital deepening by the two period average capital share of GVA, as shown in the subsection contributions to labour productivity.

Capital intensity is calculated as follows:

Capital Intensity =  Capital Services
 Hours Worked

Multi-factor Productivity

Multi-factor productivity (MFP) measures improvements in the efficiency in the utilisation of labour and capital. It is the residual output growth of an industry after calculating the contribution from capital and labour. Positive MFP results from factors such as technological change, efficiency improvements, returns to scale and reallocation of resources. Negative MFP indicates lower output from current capital and labour input relative to the output from current capital and labour input in the previous period.

Calculating Multi-factor Productivity

The following methodology shows the log approach for calculating multi-factor productivity. The first step is to create a quantity index of combined inputs:

Quantity Index of Combined Inputs = (  Labour Inputt )  2 year average of the labour share of GVA  x (Capital Services) 2 year average of the Capital Share of GVA
 Labour Inputt-1

Then one creates an index of GVA divided by the previous period:

GVA Index = GVA Constant Basic Pricest
GVA Constant Basic Pricest-1

Then one divides the GVA index by the quantity of combined index. Subtract one from this to calculate multi-factor productivity – the residual of GVA growth that is not explained by capital or labour inputs.

MFP =

 GVA Index - 1
Quantity Index of Combined Inputs

Since MFP, capital and labour are multiplicatively linked, we add one to MFP, take the natural log of it and add it to similarly calculated capital and labour input growth rates to show the additive composition of GVA growth by these three factors.

ln (  GVA Constant Basic Pricest ) = ln ( Labour Inputt ) 2 year average of the labour share of GVA
 GVA Constant Basic Pricest-1 Labour Inputt-1
+ln (Capital Services)2 year average of the labour share of GVA + ln (1 + MFP Growth Rate)

This can be more simply expressed as:

ln (GVA index) = ln (Labour input index)ln (Capital input index) + ln (1 + MFP Growth Rate)

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