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Labour and capital productivity (nama_10_prod)

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Reference Metadata in Euro SDMX Metadata Structure (ESMS)

Compiling agency: Eurostat, the Statistical Office of the European Union

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Growth and productivity accounts serve as an important input in the assessments of country-specific developments and policy evaluations. Since detailed information is needed to assess the development of trends in productivity and competitiveness, Eurostat decided to enlarge its publication of growth and productivity indicators in cooperation with experts represented in a Task Force (2018-2021).

 

Labour productivity indicators (LPIs) are a set of indicators to analyse the use of labour in the production process. Typically, labour productivity is measured as the ratio of an output in real terms (e.g. value added or output in chain-linked volumes) and a labour input (e.g. persons, hours worked). Some additional indicators are also disseminated to support the analysis such as persons employed per capita, compensation per employee, hours worked per person employed or hours worked per capita. Indicators are available for the total economy, by industry and at regional level.

 

Capital productivity indicators (CAPIs) are a set of indicators to analyse the use of capital in the production process. Typically, capital productivity is measured as the ratio of a measure of output in real terms (e.g. value added or output in chain-linked volumes) to a measure of capital input in real terms (e.g. capital stock in chain-linked volumes or derived capital services). In addition, capital-labour ratios provide more detailed insights concerning the use of capital relative to labour. Changes of these latter indicators are referred to as ‘capital deepening’. The CAPI indicators published by Eurostat are based on net capital stocks.  The indicators are available for specific industries and/or asset breakdowns.

 

 

Labour and capital productivity indicators at total economy and industry level (nama_10_lpc)    

  • Labour productivity and unit labour costs (nama_10_lp_ulc) 
  • Labour productivity and unit labour costs at industry level (nama_10_lp_a21) 
  • Capital stock based productivity indicators at industry level (nama_10_cp_a21) 

 

Labour Productivity at regional level (nama_10r_lp) 

  • Nominal Labour productivity by NUTS 2 regions (nama_10r_2nlp)           
  • Nominal Labour productivity by NUTS 3 regions (nama_10r_3nlp)           
  • Real Labour productivity by NUTS 2 regions (nama_10r_2rlp)   
  • Compensation per employee and hours worked per employed person by NUTS 2 regions and by industry (nama_10r_2lp10)       

 

Please note that all indicators included in this collection are calculated by Eurostat based on the regular set of National Accounts data transmitted by Member States under the European System of Accounts 2010 Transmission Programme (ESA 2010 TP). While users could already use published data to derive productivity indicators on their own, the Eurostat selection aims to offer a selection of ready-to-use indicators with explanatory metadata.

Please consult also our LPIs metadata and CAPIs metadata for additional information on sources and methods as well as quality and interpretation aspects of the indicators. The dedicated webpage for productivity indicators provides the general information and useful links. Moreover, the publication of quality adjusted labour input (QALI) indicators and “crude” multifactor productivity indicators as experimental statistics provide additional information.

 

The use of national accounts data and the harmonised derivation methods by Eurostat are aimed to increase transparency and cross-country comparability. However, users should be aware that there are different sets of productivity indicators published by the countries or other international organisations that may use partly different sources or more sophisticated methods like adjustments in labour quality or derivation of capital services. While these can be more suited for specific analysis, users are invited to consult the metadata published with the respective indicators to be aware about specific sources, methods and/or assumptions used.

7 January 2025

The LPIs derived from National Accounts data provided by Member States are calculated on an annual basis for total of the economy (which includes market and non-market sectors), and (when possible) for various breakdowns, by economic activity (ranging from total economy to industry breakdowns in NACE Rev.2), and by regional disaggregation (from national to regional level in NUTS).

Its main constituting inputs are: GDP, GVA for industry/regional breakdowns, compensation of employees, population, employment and hours worked.

The key concepts specific to LPIs cover the following definitions:

Compensation per employee

D1_SAL_PER=Compensation of employees (D.1) divided by Number of Employees (PER_SAL).

 

Compensation of employees per hour worked

D1_SAL_HW=Compensation of employees (D.1) divided by total hours worked by employees (HW_SAL).

 

Real labour productivity per person employed

RLPR_PER=GDP in volume terms (real) divided by total employment (employees and self-employed). GDP is used for total of the economy, while GVA is used for industry breakdowns.

 

Real labour productivity per hour worked

RLPR_HW=GDP in volume terms (real) divided by total hours worked by employees and self-employed (HW_EMP). For total of the economy GDP is used. However, for industry breakdowns, industry GVA replaces GDP.

 

Nominal unit labour cost based on persons

NULC_PER=Compensation per employee (D1_SAL_PER) divided by Real labour productivity per person employed (RLPR_PER). Remarks done above for RLPR_PER, when calculated for industry breakdowns, also apply here.

 

Nominal unit labour cost based on hour worked

NULC_HW=Compensation of employees per hours worked (D1_SAL_HW) divided by Real labour productivity per hour worked (RLPR_HW). Remarks done above for RLPR_HW, when calculated for industry breakdowns, also apply here.

 

Total employment (persons employed) per capita

EMP_POP=Percentage of total employment (EMP, domestic concept) on total population (POP, national concept).

 

Hours worked per capita HW_POP=Total hours worked by employees and self-employed (HW_EMP) divided by total of population (POP)

 

Hours worked per employed person

HW_EMP=Total hours worked by employees and self-employed (HW_EMP) divided by total employment (EMP)

 

Nominal labour productivity per person employed

NLPR_EMP=GDP at current prices (nominal) divided by total employment (EMP)

 

Nominal labour productivity per hour worked

NLPR_HW=GDP at current prices (nominal) divided by total hours worked by employees and self-employed (HW_EMP).

 

The availability of indicators will differ by territorial breakdown and industry breakdown. The overview table with provided indicators is presented in the LPIs metadata.

LPIs addressing total of the economy scope include all market and non-market industries. LPI for total of the economy, such as real labour productivity or nominal unit labour cost use GDP, whereas these indicators broken down by industry are calculated basing on GVA instead of GDP.

Some of the LPIs are not made available for all NACE breakdowns and regional breakdown due to some limitations that concern their comparability and usability. Unavailable breakdowns are due to three main reasons :

  • the non-availability of population by industry;
  • employees with multiple jobs are only accounted in the industry of the main job, so the indicators by industry based on employment are mainly provided per hours worked.

the not availability of data (real GDP, compensation of employees…) at NUT3 levels.

 

CAPIs derived from National Accounts data provided by Member States are calculated on an annual basis for various breakdowns, by economic activity (total economy or NACE Rev. 2, A21) and by asset type (total fixed assets or main asset types, section 3.2).

 

The main constituting inputs are: net fixed assets (capital stock), gross value added and employment (persons employed and hours worked).

Net Capital stock is the sum of the written-down values of all the fixed assets still in use. It can also be described as the difference between gross capital stock and consumption of fixed capital. (see OECD glossary of statistical terms).

 

In summary the key concepts specific to CAPIs cover the following definitions:

 

Gross value added per unit of net fixed assets

GVA_NCS=Real value added (GVA in CLV) divided by real net fixed asset (NxxN in CLV)

 

Net fixed assets to gross value added

NCS_GVA=Real net fixed asset (NxxN in CLV) divided by real value added (GVA in CLV)

 

Net fixed assets per employed person

NCS_EMP=Real net fixed asset (NxxN in CLV) divided by persons employed (EMP)

 

Net fixed assets per hour worked

NCS_HW=Real net fixed asset (NxxN in CLV) divided by hours worked

 

The availability of indicators will differ by industry breakdown and by asset type. The overview table with provided indicators is presented in the CAPIs metadata).

CAPIs addressing total of the economy scope include all market and non-market industries.

The units used in the national accounts data published by Eurostat are, in principle, the local KAU or the institutional unit as defined in ESA2010. This is the case for both the country data received, and for the euro area and EU aggregates compiled by Eurostat. However, deviations might occur where the units used in the received country data are not fully compliant with the ESA 2010 guidelines. For information on statistical unit refer to nama10.

The national accounts population of a country consists of all resident statistical units (institutional units or local KAUs, see section 3.5). A unit is a resident unit of a country when it has a centre of predominant economic interest on the economic territory of that country, that is, when it engages for an extended period (one year or more) in economic activities on this territory. For more information on statistical population see nama10.

Eurostat publishes productivity indicators for EU Member States, Iceland, Switzerland, Norway and enlargement countries if data are available. For CAPIs the EU-27 aggregates (or the euro area aggregates) are not yet available since aggregates for capital stocks have not yet been published.

EU Member States and EFTA countries have legal obligations to submit their data to Eurostat as defined in the European System of Accounts ESA 2010 transmission programme of data.

The reference period is the calendar year, with temporal coverage varying across geographical units. More information in nama10  and in reg_eco10.

Eurostat assesses the accuracy of national data by systematically applying validation checks to all national accounts transmissions of countries. Accuracy of national accounts estimates is analysed in terms of revisions. For more information see Section 13 of nama10 and of reg_eco10.

The LPIs encompass a range of unit measures that include current prices (Euro, National currency, Purchasing Power Standard), volume (Chain-linked volumes CLV), as well as specific units for persons, employment and hours worked (thousands, THS; millions, M). LPIs are also expressed in terms of transformations of these units (ratios, indexes and percentage changes). Please note that series are not available for all transformations: for instance, growth rates are only used for real rates and not nominal rates to avoid the distortion effects of price changes in the evolution of LPIs.

Basic units of measure

Current prices (CP) figures are typically expressed in (millions of) national currency (NAC) and euro (EUR). They can be directly observed but include inflation effects.

  • National currency series (CP_MNAC) (including current prices euro series for euro area Member States) are transmitted by Member states and correspond to nationally published figures. They are suitable for studying the development of a variable in a single country over time.
  • Euro series (CP_MEUR) are derived from transmitted national currency series using historic exchange rates. They are suitable for international comparison and aggregation. When comparing them over time, exchange rate effects should be taken into account.
  • For euro area Member States, the national currency series are converted into euros using the irrevocably fixed exchange rate. This preserves the same growth rates than for the previous national currency series. Both series coincide for years after accession to the euro area but differ for earlier years due to market exchange rate movements.

 

Volume figures show the development of aggregates excluding inflation. They are typically presented as chain-linked volumes, indices or various growth rates.

 

Population, employment and hours worked figures are crucial for the definition of LPIs. They help comparisons between countries, or between industries or sectors within the same economy.

They are typically expressed in thousands of their respective units (e.g. persons, hours). For this purpose, definitions of population and labour inputs must be consistent with the ESA concepts.

  • Total population of a country consists of all persons, national or foreign, who are permanently settled in the economic territory of the country, even if they are temporarily absent from it. For an annual estimation of the population an annual average of head counts will provide an appropriate basis for estimating national accounts variables (THS_PER).
  • Employment covers all persons engaged in productive activity that falls within the production boundary of the national accounts. Persons in employment are employees or self-employed persons (THS_EMP).
  • Total hours worked represents the aggregate number of hours actually worked as an employee or self-employed person during the accounting period, when their output is within the production boundary (THS_HW).

Derived units of measure

From magnitudes expressed in the above basic units of measure, a set of transformations is carried out to derive LPIs. Beyond the indicator definition (see section 3.4), according to the transformation involved in its definition they are usually expressed in the following units:

 

Current prices transformations to account for purchasing power parities

  • Purchasing Power Standards (PPS) (CP_MPPS) are fictive 'currency' units that remove differences in purchasing power, i.e. different price levels between countries. These parities are obtained as a weighted average of relative price ratios in respect to a homogeneous basket of goods and services, both comparable and representative for each country. They are fixed in a way that makes the average purchasing power of one euro in the European Union (or Euro Area) equal to one PPS. PPS series should be used for cross-country comparisons in a specific year but do not for comparisons over time since they do not constitute time series.

 

Percentages with respect to EU aggregates

  • To facilitate the comparisons between countries, data are expressed in percent relative of the EU aggregate, e.g. using euro (PC_EU27_MEUR_CP) or purchasing power standards (PC_EU27_MPPS_CP).

 

Volume and index series

  • Chain-linked volume series obtained by successively applying previous year's price's growth rates to the current price figure of a specific reference year e.g. 2010 (CLV10_MNAC, CLV10_MEUR).
  • Chain-linking involves the loss of additivity for all years except the reference year and the directly following year, because these are the only periods expressed in prices of the reference year. For other years, chain-linked components of GDP will not sum to chain-linked GDP, and chain-linked Member States' GDP will not sum to chain-linked EU GDP.
  • Index series of chain-linked volume series (CLV_I10, CLV_I15) are derived by successively applying previous year's price's growth rates to an index value 100 in the reference year. The index growth rates are equal to the growth rates of the underlying volume series used to build the index.
  • Index series are also calculated for physical LPIs not affected by price changes (I10, I15), such persons employed per capita, labour utilisation or hours worked per employed person. The index growth rates are equal to the growth rates of the underlying physical series used to build the index.
  • The index growth rates are equal to the growth rates of the underlying physical series used to build the index.

 

Growth rates are derived from the indexed series or the underlying series used to build the index, as mentioned above (they all give the same growth rates irrespectively of the currency denominated since the exchange rate is "fixed" to the one in the reference year).

  • PCH_PRE represents the % change over the previous period. In the case of annual data, such as LPIs, this is the % change with respect to the previous year.
  • PCH_#Y, represents the % change over longer number of periods, usually 3, 5 or 10 years (e.g. PCH_3Y, PCH_5Y, PCH_10Y). Some time series of LPIs are affected by a larger volatility depending on the estimation methods of the underlying indicators. Longer period growth rates are especially relevant for productivity analysis as it is often related to structural factors, but also note that those tend to mitigate this volatility as the construction method affects more short-run volatility but to a lesser extent the average growth in the long run.

 

CAPIs encompass a range of indicators that are based on net capital stocks expressed in chain-linked volumes (CLV), persons employed, and hours worked (in thousands). CAPIs are then expressed in terms of transformations of these units (index and percentage change for various time periods: percentage change on previous period, percentage change for three years, percentage change for five years, percentage change for ten years).

No level indicators are provided due to comparability issues (see section 15).

 

Inputs for calculating CAPIs are usually expressed in the following units:

Stock of net fixed assets in chain-linked volumes (2015), million units of national currency CLV15_MNAC).

 

Data are taken from the official transmissions of Member States to Eurostat under the ESA2010 Transmission Programme in current and previous year replacement costs, from which Eurostat calculates capital stock data in chain-linked volumes, applying the formula described in CAPIs metadata.

 

Employment covers all persons engaged in some productive activity (within the production boundary of the national accounts). The CAPIs are calculated on the base of two measures of employment:

Employed persons: either employees (working by agreement for a resident unit and receiving remuneration) or self-employed (owners of unincorporated enterprises) (THS_PER)

Total hours worked represents the aggregate number of hours actually worked as an employee or self-employed person during the accounting period, when their output is within the production boundary (THS_HW).

 

CAPIs are usually expressed in the following units:

  • Index: base year 2015
  • Growth rates: Growth rates are derived from the indexed series.
    •    PCH_PRE represent the percentage change over the previous period (year).
    •    PCH_#Y represent the percentage change over longer number of periods, usually 3, 5, or 10 years (PCH_3Y, PCH_5Y, PCH_10Y).

Eurostat compiles LPIs and CAPIs based on national accounts data and on harmonised formulae/method.

LPIs and CAPIs are based on national accounts series; national compilation sources vary. See also nama10 and reg_eco10.

The transmission requirements for each dataset are defined in the European System of Accounts (ESA 2010) transmission programme.

Annual data underlying LPIs for GVA and employment are requested by t+9/21 months

  • National accounts aggregates by industry (up to NACE A*64)
    (nama_10_a64)
  • National accounts employment data by industry (up to NACE A*64) (nama_10_a64_e)

Annual data underlying CAPIs for GVA and employment are requested by t+9/21 months

  • National accounts aggregates by industry (up to NACE A*64) (nama_10_a64)
  • National accounts employment data by industry (up to NACE A*64) (nama_10_a64_e)   

Net fixed assets data are due after T+24 months (nama_10_nfa)

  • Cross-classification of fixed assets by industry and by asset (stocks) (nama_10_nfa_st)

Member States are required to transmit their data to Eurostat in compliance with the European System of Accounts ESA 2010 transmission programme.

LPIs can present comparability issues across countries and regions depending on a set of factors concerning the input data used to compute the indicators:

  • Differential price dynamics for nominal data: comparison of nominal productivity growth across geographical areas is misleading since inflation levels are likely to be different. Nominal indicators should be compared with caution.
  • Direct static comparisons should be performed in PPS to avoid different price levels across countries. Although indicators adjusted and unadjusted for PPS are useful, unadjusted for PPS figures should be compared across countries with caution.
  • Different methodology across countries of labour inputs, albeit they provide data under the same concept, measures of employment in terms of persons or hours worked may substantially differ from country to country depending on the estimation method or the data sources available (census, surveys, administrative registers).

These effects may have a different impact for different units of measure presented i.e. levels might be non-comparable, while growth rates (or indexes) tend to soften the effects of such factors in the long run.

CAPIs, are not provided in levels due to methodological differences in calculating capital stocks. However, data are comparable across countries in terms of growth rates. Further efforts are currently undertaken to analyse and assess differences in the assumptions for deriving capital stocks in the individual countries.

According to ESA 2010 transmission program, countries provide time series of indicators to build LPIs back to reference years 2000 (regional) and even 1995 (national). Beyond methodological factors that might produce breaks in the series, the main constraint to over time comparisons of LPIs is the price dynamics. Nominal figures can play a major role biasing the analysis. Therefore, growth and trends analysis should preferably be performed using chain-linked volumes.

According to ESA 2010 transmission Program, countries provide time series of indicators to build CAPIs back to reference year 1995 for most of the Member States.  CAPIs are based mainly on capital stocks in CLV. However, capital stock data in chain-linked volumes are not transmitted by countries and therefore have to be calculated from data in current and previous year replacement costs.