Technical Papers
Dec 2, 2022

Bayesian Modeling of Labor Earnings in Construction

Publication: Journal of Construction Engineering and Management
Volume 149, Issue 2

Abstract

Labor costs constitute a significant portion of construction costs. Reliable forecasts provide insight into the movements of labor costs and are critical to the success of projects. Past studies have primarily focused on forecasting construction cost indexes or material costs. Only a few studies have concentrated on forecasting construction labor costs. This study presents a multivariate Bayesian structural time series (MBSTS) model to characterize the future values of construction labor’s average hourly earnings (AHE) using a set of candidate predictors. The methodologies commonly used by past studies do not adequately address the uncertainties associated with the modeling process. In contrast, MBSTS recognizes the uncertainty in its modeling process, which enables practitioners to quantify and account for future labor cost risks in decisions. Furthermore, the MBSTS method results in a transparent model, helping analysts investigate the rationality of the parameters. This article trains MBSTS models under four different data subset lengths (i.e., 150, 144, 138, and 132 months) to study the consistency of the explanatory variables and their corresponding coefficients. The analysis results indicate that the gross domestic product (GDP), housing starts (HS), number of building permits (BP), Construction Cost Index (CCI), Dow Jones Industrial Average (DJI), and Standard and Poor’s 500 index (SPI) are the most frequently used predictors in the regression component of the MBSTS models. The results indicate an inverse relationship between AHE from one side and HS and BP from the other. Likewise, a direct relationship exists between AHE and GDP, CCI, DJI, and SPI. The MBSTS model performed well on the validation subset in the midrange prediction intervals (i.e., 12- and 18-month periods). However, it was outperformed by conventional time series models [i.e., seasonal autoregressive integrated moving average (SARIMA)] when used for short-term forecasting. The proposed framework can be applied to facilitate monetary resource allocation in projects.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

References

An, S., and F. Schorfheide. 2007. “Bayesian analysis of DSGE models.” Econ. Rev. 26 (2–4): 113–172. https://doi.org/10.1080/07474930701220071.
Assaad, R., I. H. El-Adaway, and I. S. Abotaleb. 2020. “Predicting project performance in the construction industry.” J. Constr. Eng. Manage. 146 (5): 04020030. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001797.
Barber, D., A. T. Cemgil, and S. Chiappa. 2011. Bayesian time series models. Cambridge, UK: Cambridge University Press.
BLS (US Bureau of Labor Statistics). 2021. “CES frequently asked questions.” Accessed October 2, 2021. https://www.bls.gov/web/empsit/cesfaq.htm.
Campagnoli, P., S. Petrone, and G. Petris. 2009. Dynamic linear models with R 2. New York: Springer.
Chipman, H., E. I. George, and R. E. McCulloch. 2001. “The practical implementation of bayesian model selection.” Lect. Notes Monogr. Ser. 38: 65–116. https://doi.org/10.1214/lnms/1215540964.
Dickey, D. A., and W. A. Fuller. 1979. “Distribution of the estimators for autoregressive time series with a unit root.” J. Am. Stat. Assoc. 74 (366a): 427–431. https://doi.org/10.2307/2286348.
Durbin, J., and S. J. Koopman. 2002. “A simple and efficient simulation smoother for state space time series analysis.” Biometrika 89 (3): 603–616. https://doi.org/10.1093/biomet/89.3.603.
Durbin, J., and S. J. Koopman. 2012. Time series analysis by state space methods. Crydon, UK: Oxford University Press.
Durdyev, S., S. Ismail, and N. Kandymov. 2018. “Structural equation model of the factors affecting construction labor productivity.” J. Constr. Eng. Manage. 144 (4): 04018007. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001452.
El-Gohary, K. M., and R. F. Aziz. 2014. “Factors influencing construction labor productivity in Egypt.” J. Manage. Eng. 30 (1): 1–9. https://doi.org/10.1061/(asce)me.1943-5479.0000168.
Ernzen, J. J., and C. Schexnayder. 2000. “One company’s experience with design/build: Labor cost risk and profit potential.” J. Constr. Eng. Manage. 126 (1): 10–14. https://doi.org/10.1061/(ASCE)0733-9364(2000)126:1(10).
Faghih, S. A. M., Y. Gholipour, and H. Kashani. 2021. “Time series analysis framework for forecasting the construction labor costs.” KSCE J. Civ. Eng. 25 (8): 2809–2823. https://doi.org/10.1007/s12205-021-1489-4.
Faghih, S. A. M., and H. Kashani. 2018. “Forecasting construction material prices using vector error correction model.” J. Constr. Eng. Manage. 144 (8): 04018075. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001528.
Feroze, N. 2020. “Forecasting the patterns of COVID-19 and causal impacts of lockdown in top five affected countries using Bayesian structural time series models.” Chaos Solitons Fractals 140 (Nov): 110196. https://doi.org/10.1016/j.chaos.2020.110196.
Fildes, R., A. C. Harvey, M. West, and J. Harrison. 1991. “Forecasting, structural time series models and the Kalman filter.” J. Oper. Res. Soc. 42 (11): 1031–1033. https://doi.org/10.2307/2583225.
George, E. I., and R. E. McCulloch. 1997. “Approaches for Bayesian variable selection.” Stat. Sin. 7 (2): 339–373.
Gujurati, D. N. 2003. Basic econometrics. New York: McGraw-Hill.
Hamilton, J. D. 1994. Time series analysis. Princeton, NJ: Princeton University Press.
Hanna, A. S., C. S. Taylor, and K. T. Sullivan. 2005. “Impact of extended overtime on construction labor productivity.” J. Constr. Eng. Manage. 131 (6): 734–739. https://doi.org/10.1061/(ASCE)0733-9364(2005)131:6(734).
Hoeting, J. A., D. Madigan, A. E. Raftery, and C. T. Volinsky. 1999. “Bayesian model averaging: A tutorial.” Stat. Sci. 14 (4): 382–401. https://doi.org/10.1214/ss/1009212519.
Hyndman, R., et al. 2021. “CRAN—Package forecast.” Accessed November 22, 2021. https://cran.r-project.org/web/packages/forecast/index.html.
Hyndman, R. J., and G. Athanasopoulos. 2018. Forecasting: Principles and practice. Melbourne, Australia: OTexts.
Hyndman, R. J., and Y. Khandakar. 2008. “Automatic time series forecasting: The forecast package for R.” J. Stat. Software 27 (3): 1–22. https://doi.org/10.18637/jss.v027.i03.
Jarkas, A. M., and C. G. Bitar. 2012. “Factors affecting construction labor productivity in Kuwait.” J. Constr. Eng. Manage. 138 (7): 811–820. https://doi.org/10.1061/(ASCE)CO.1943-7862.0000501.
Joukar, A., and I. Nahmens. 2016. “Volatility forecast of construction cost index using general autoregressive conditional heteroskedastic method.” J. Constr. Eng. Manage. 142 (1): 04015051. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001020.
Karimi, H., T. R. B. Taylor, G. B. Dadi, P. M. Goodrum, and C. Srinivasan. 2018. “Impact of skilled labor availability on construction project cost performance.” J. Constr. Eng. Manage. 144 (7): 04018057. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001512.
Lempers, F. B. 1971. Posterior probabilities of alternative linear models. Rotterdam, Netherlands: Rotterdam University Press.
Liang, F., R. Paulo, G. Molina, M. A. Clyde, and J. O. Berger. 2008. “Mixtures of g priors for Bayesian variable selection.” J. Am. Stat. Assoc. 103 (481): 410–423. https://doi.org/10.1198/016214507000001337.
Ljung, G. M., and G. E. P. Box. 1978. “On a measure of lack of fit in time series models.” Biometrika 65 (2): 297–303. https://doi.org/10.1093/biomet/65.2.297.
Madigan, D., and A. E. Raftery. 1994. “Model selection and accounting for model uncertainty in graphical models using Occam’s window.” J. Am. Stat. Assoc. 89 (428): 1535–1546. https://doi.org/10.1080/01621459.1994.10476894.
McTague, B., and G. Jergeas. 2002. Productivity improvements on Alberta major construction projects: Phase I—Back to basics. Alberta, Canada: Alberta Economic Development.
Meyn, S., R. L. Tweedie, and P. W. Glynn. 2009. Markov chains and stochastic stability. Cambridge, UK: Cambridge University Press.
Mitchell, T. J., and J. J. Beauchamp. 1988. “Bayesian variable selection in linear regression.” J. Am. Stat. Assoc. 83 (404): 1023–1032. https://doi.org/10.1080/01621459.1988.10478694.
PMI (Project Management Institute). 2018. “Success in disruptive times.” Accessed October 2, 2021. https://www.pmi.org/-/media/pmi/documents/public/pdf/learning/thought-leadership/pulse/pulse-of-the-profession-2018.pdf.
Poyser, O. 2019. “Exploring the dynamics of Bitcoin’s price: A Bayesian structural time series approach.” Eurasian Econ. Rev. 9 (1): 29–60. https://doi.org/10.1007/s40822-018-0108-2.
Qiu, J., S. R. Jammalamadaka, and N. Ning. 2018. “Multivariate Bayesian structural time series model.” J. Mach. Learn. Res. 19 (1): 2744–2776.
Qiu, J., S. R. Jammalamadaka, and N. Ning. 2020. “Multivariate time series analysis from a Bayesian machine learning perspective.” Ann. Math. Artif. Intell. 88 (10): 1061–1082. https://doi.org/10.1007/s10472-020-09710-6.
Said, S. E., and D. A. Dickey. 1984. “Testing for unit roots in autoregressive-moving average models of unknown order.” Biometrika 71 (3): 599–607. https://doi.org/10.1093/biomet/71.3.599.
Scott, S. L. 2021. “CRAN—Package bsts.” Accessed October 2, 2021. https://cran.r-project.org/web/packages/bsts/.
Scott, S. L., and H. Varian. 2013. “Bayesian variable selection for nowcasting economic time series.” In Economic analysis of the digital economy, 119–135. Chicago: University of Chicago Press.
Scott, S. L., and H. R. Varian. 2014. “Predicting the present with Bayesian structural time series.” Int. J. Math. Modell. Numer. Optim. 5 (1–2): 4–23. https://doi.org/10.1504/IJMMNO.2014.059942.
Shahandashti, S. M., and B. Ashuri. 2013. “Forecasting Engineering News-Record construction cost index using multivariate time series models.” J. Constr. Eng. Manage. 139 (9): 1237–1243. https://doi.org/10.1061/(ASCE)CO.1943-7862.0000689.
Shahandashti, S. M., and B. Ashuri. 2016. “Highway construction cost forecasting using vector error correction models.” J. Manage. Eng. 32 (2): 04015040. https://doi.org/10.1061/(asce)me.1943-5479.0000404.
Shehata, M. E., and K. M. El-Gohary. 2011. “Towards improving construction labor productivity and projects’ performance.” Alexandria Eng. J. 50 (4): 321–330. https://doi.org/10.1016/j.aej.2012.02.001.
Shiha, A., E. M. Dorra, and K. Nassar. 2020. “Neural networks model for prediction of construction material prices in Egypt using macroeconomic indicators.” J. Constr. Eng. Manage. 146 (3): 04020010. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001785.
Wong, J. M. W., and S. T. Ng. 2010. “Forecasting construction tender price index in Hong Kong using vector error correction model.” Construct. Manage. Econ. 28 (12): 1255–1268. https://doi.org/10.1080/01446193.2010.487536.
Xu, J.-W., and S. Moon. 2013. “Stochastic forecast of construction cost index using a cointegrated vector autoregression model.” J. Manage. Eng. 29 (1): 10–18. https://doi.org/10.1061/(asce)me.1943-5479.0000112.
Yates, J. K., and S. Guhathakurta. 1993. “International labour productivity.” J. Cost Eng. 35 (1): 15–25.
Zellner, A. 1986. “On assessing prior distributions and Bayesian regression analysis with g prior distributions.” In Bayesian inference and decision techniques: Essays in honor of Bruno de Finetti, edited by P. Goel and A. Zellner, 233–243. New York: Elsevier.
Zhang, Y., and J. D. Fricker. 2021. “Quantifying the impact of COVID-19 on non-motorized transportation: A Bayesian structural time series model.” Transport Policy 103 (Mar): 11–20. https://doi.org/10.1016/j.tranpol.2021.01.013.

Information & Authors

Information

Published In

Go to Journal of Construction Engineering and Management
Journal of Construction Engineering and Management
Volume 149Issue 2February 2023

History

Received: Feb 27, 2022
Accepted: Oct 11, 2022
Published online: Dec 2, 2022
Published in print: Feb 1, 2023
Discussion open until: May 2, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Undergraduate Student, Dept. of Civil Engineering, Sharif Univ. of Technology, Tehran 14588-89694, Iran. ORCID: https://orcid.org/0000-0002-0116-3069. Email: [email protected]
Associate Professor, Dept. of Civil Engineering, Sharif Univ. of Technology, Tehran 14588-89694, Iran (corresponding author). ORCID: https://orcid.org/0000-0003-2479-7387. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share