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Impact of Dynamic Workforce and Workplace Variables on the Productivity of the Construction Industry: New Gross Construction Productivity Indicator

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Construction productivity is the industry's predominant determinant of performance. Although the construction industry periodically provides large amount of data, existing studies have not fully exploited such data sets, especially relating to the overall productivity of the construction industry rather than labor productivity. This paper addresses this critical knowledge gap by statistically examining and modeling the causalities between different dynamic workforce and workplace variables and the productivity of the entire construction industry. Multivariate time-series data between 2006 and 2019 were collected for the productivity of the construction industry and 11 dynamic workforce and workplace variables: job openings, job hires, turnover or job separations, total compensation, gross job gains, gross job losses, average hourly earnings, fatalities, occupational injuries and illnesses, gross domestic product, and unemployment rate. Statistically significant relationships and causalities were examined between the response variable-productivity of the construction industry-and these 11 variables. A vector autoregression (VAR) framework was developed to model the temporal variations in the productivity of the construction industry. The developed VAR model was validated by predicting the construction productivity for the 2016-2019 period an acceptable mean average percentage error of 5.13%. Based on the findings, the paper concludes that (1) all considered dynamic workforce and workplace variables, except job openings, statistically cause fluctuations in the construction productivity; (2) the new concept of gross construction productivity is justified statistically and should be implemented in the construction industry; (3) the gross construction productivity is an additional valuable information that construction companies should consider to make different insightful and well-educated industry-related decisions; (4) the health of the construction industry needs to be studied based on the productivity of the industry as a whole rather than based on labor productivity alone; and (5) the construction industry should move toward the development of a notion of gross construction productivity indicator used to measure, evaluate, and predict the performance of the entire industry. Ultimately, this paper proposes a new indicator or index for gross construction productivity. The outcomes of this paper add to the body of knowledge by providing a better understanding of the impact of different dynamic workforce and workplace variables on the construction productivity and by offering a new concept called gross construction productivity.
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Impact of Dynamic Workforce and Workplace
Variables on the Productivity of the
Construction Industry: New Gross
Construction Productivity Indicator
Rayan Assaad, S.M.ASCE1; and Islam H. El-adaway, F.ASCE2
Abstract: Construction productivity is the industrys predominant determinant of performance. Although the construction industry peri-
odically provides large amount of data, existing studies have not fully exploited such data sets, especially relating to the overall productivity
of the construction industry rather than labor productivity. This paper addresses this critical knowledge gap by statistically examining
and modeling the causalities between different dynamic workforce and workplace variables and the productivity of the entire construction
industry. Multivariate time-series data between 2006 and 2019 were collected for the productivity of the construction industry and
11 dynamic workforce and workplace variables: job openings, job hires, turnover or job separations, total compensation, gross job gains,
gross job losses, average hourly earnings, fatalities, occupational injuries and illnesses, gross domestic product, and unemployment rate.
Statistically significant relationships and causalities were examined between the response variableproductivity of the construction
industryand these 11 variables. A vector autoregression (VAR) framework was developed to model the temporal variations in the pro-
ductivity of the construction industry. The developed VAR model was validated by predicting the construction productivity for the 20162019
period an acceptable mean average percentage error of 5.13%. Based on the findings, the paper concludes that (1) all considered dynamic
workforce and workplace variables, except job openings, statistically cause fluctuations in the construction productivity; (2) the new concept
of gross construction productivity is justified statistically and should be implemented in the construction industry; (3) the gross construction
productivity is an additional valuable information that construction companies should consider to make different insightful and well-educated
industry-related decisions; (4) the health of the construction industry needs to be studied based on the productivity of the industry as a whole
rather than based on labor productivity alone; and (5) the construction industry should move toward the development of a notion of gross
construction productivity indicator used to measure, evaluate, and predict the performance of the entire industry. Ultimately, this paper
proposes a new indicator or index for gross construction productivity. The outcomes of this paper add to the body of knowledge by providing
a better understanding of the impact of different dynamic workforce and workplace variables on the construction productivity and by offering
a new concept called gross construction productivity. DOI: 10.1061/(ASCE)ME.1943-5479.0000862.© 2020 American Society of Civil
Engineers.
Introduction
The construction industry is one of the key contributors to the
growth of economies. For instance, the construction industry con-
tributes to about 4.4% of the total gross output in the US (US
Bureau of Economic Analysis 2018). In addition, the construction
industry employs 6%10% of the workforce (Shohet et al. 2019).
Moreover, the construction industry plays an important role in driv-
ing the activities of other industries such as manufacturing, mining
and agriculture, transportation (Donkor 2011), and infrastructure
(Assaad and El-adaway 2020g,2020e), among others. In addition,
construction is a complex business (Assaad and Abdul-Malak
2020a), and different construction-related uncertainties can impact
productivity (Choy and Ruwanpura 2005), such as unseasonable
weather conditions (Sexton et al 2020).
Construction productivity is a fundamental piece of information
for different essential construction activities such as estimating,
budgeting, and scheduling (El-Gohary et al. 2017). In addition,
construction productivity is an important metric that provides feed-
back about the industry trends and improvements (Vereen et al.
2016). In fact, construction productivity is considered the indus-
trys predominant determinant of performance (Jarkas 2016).
Consequently, it is important to understand the fluctuations or
movements of construction productivity.
The construction industry is prone to many disruptions (Assaad
et al. 2020c), and the dynamics of the workforce and workplace
play an important role in the fluctuations of construction produc-
tivity (Chaturvedi et al. 2018;Durdyev et al. 2018). However, this
does not mean that the role of these variables is understood and
quantifiable. In other words, although construction productivity is
affected by different dynamic workforce and workplace variables,
the effects of these variables cannot be understood or quantified
unless they are researched. Dynamic variables refer to variables
1Ph.D. Candidate, Dept. of Civil, Architectural, and Environmental
Engineering, Missouri Univ. of Science and Technology, Rolla, MO 65409.
Email: rayan.assaad@mst.edu
2Hurst-McCarthy Professor of Construction Engineering and Manage-
ment, Professor of Civil Engineering, and Founding Director of Missouri
Consortium for Construction Innovation, Dept. of Civil, Architectural,
and Environmental Engineering/Dept. of Engineering Management and
Systems Engineering, Missouri Univ. of Science and Technology, Rolla,
MO 65409 (corresponding author). ORCID: https://orcid.org/0000-0002
-7306-6380. Email: eladaway@mst.edu
Note. This manuscript was submitted on March 19, 2020; approved
on July 29, 2020; published online on September 28, 2020. Discussion
period open until February 28, 2021; separate discussions must be sub-
mitted for individual papers. This paper is part of the Journal of Man-
agement in Engineering, © ASCE, ISSN 0742-597X.
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with values changing from one period to another or that are linked
to other variables depending on time (Abbas and Mosallamy 2016).
In simple terms, dynamic variables can take different values over
time.
Although the construction industry produces a large amount of
data on a periodic basis, existing data sets have not been exploited
fully (Cao and Goh 2019). To the best knowledge of the authors,
no previous research work exploited publicly available workforce
and workplace variables to understand and model the fluctuations
in the productivity of the construction industry as a whole. In other
words, although the productivitys body of knowledge has produc-
tivity has many previous research works that provided important
information on construction productivity, including but not limited
to Durdyev et al. (2018), Gurmu and Ongkowijoyo (2020), Gupta
et al. (2018), and El-Gohary et al. (2017), these efforts focused on
labor productivity rather than on the productivity of the construc-
tion industry as a whole. Thus, construction productivity in this
paper is defined as, and refers to, the productivity of the overall
construction industry; that is, the monthly generated output (in
USD) per worker-hour. Thus, this paper takes a high-level perspec-
tive by focusing on the productivity of the overall construction
industry.
Goal and Objectives
The goal of this paper is to study and model the impacts of
dynamic workforce and workplace variables on the productivity of
the construction industry. The associated research objectives are to
(1) examine the statistical relationships and causalities between nu-
merous workforce and workplace variables on one hand and
the productivity of the construction industry on the other hand;
(2) associate the changes in construction productivity with its past
fluctuations and the past movements in different dynamic work-
force and workplace variables; and (3) develop and validate a stat-
istical framework that models and predicts the productivity of the
construction industry.
Background Information
The construction industry is subject to schedule overruns, numer-
ous uncertainties (Assaad et al. 2020a,Assaad and Abdul-Malak
2020b), risks, and ever-changing conditions (Assaad and El-
adaway 2020b). One of the most critical uncertainties or risks is
productivity. Thus, this section provides the needed background
information related to construction productivity. This section also
includes information related to time series analysis.
Previous Studies Related to Construction Productivity
This subsection details the relevant previous research work on
construction productivity. Johari and Jha (2020b) explored the re-
lationships between the work motivation of workers and their
productivity based on 116 construction workers from 4 construc-
tion sites in India. Florez et al. (2020) proposed a new metric to
measure compatibility of personality among workers in a crew
and revealed how personality factors affect productivity based
on rigorous methods to analyze correlations for construction ex-
periments. Ghodrati et al. (2018) quantified the effectiveness of a
set of implemented management strategies in improving produc-
tivity in construction projects in New Zealand. Pan et al. (2019)
examined the nature of the constraints on productivity advance-
ment and explored the rationale underpinning the productivity
enhancement strategies within the construction industries of
Singapore, Hong Kong, and the United Kingdom. Johari and Jha
(2020a) established the relationship between construction workers
aptitudes and their productivity based on data collected on 112
workers. Gurmu and Ongkowijoyo (2020) attempted to predict
construction labor productivity based on implementation levels of
human resource management (HRM) practices by performing a
correlation and associations analysis between productivity, HRM
practices, company profiles, and project properties based on data
collected from 39 contractors. Durdyev et al. (2018) developed
a structural equation model of the factors affecting construction
labor productivity in the Malaysian construction industry. Gupta
et al. (2018) determined different site amenities and workers
welfare factors that impact the workforce productivity in Indian
construction projects. El-Gohary et al. (2017) introduced an en-
gineering concept to document, control, predict, and improve
contractorslabor productivity for formwork and reinforcing steel
fixing crafts, including factors of the project management and
administration level and of the activity level. Bonham et al.
(2017) applied data mining techniques to quantify the relative in-
fluence of design and installation attributes on labor productivity.
Kisi et al. (2018) tested and evaluated the validity of the traditional
two-prong strategy on a complex and labor-intensive operation and
provided a framework for estimating the optimal productivity for
the fabrication activity of sheet metal ducts. Zhao and Dungan
(2018) reviewed the methods used to quantify lost labor produc-
tivity in the US construction industry, along with relevant cases,
to examine the practical considerations in selecting the proper pro-
ductivity quantification method. Gurmu (2019) developed a tool
for scoring materials management practices for building projects
and built a tool for predicting productivity based on a question-
naire distributed to construction experts and contractors.
Summary of Existing Literature on Construction
Productivity
To provide a general description of the existing knowledge on
construction productivity, this subsection summarizes the previous
literature at three levels: high level, medium level, and detailed
level. The high-level overview provides the broad research areas
on construction productivity. The medium-level summary offers
more-elaborate information on the existing knowledge on con-
struction productivity. The detailed-level review provides a more
thorough summary of the existing literature on construction
productivity.
At the high level, Durdyev et al. (2018) demonstrated that the
main thread in all contextual interpretations or definitions of pro-
ductivity is related to efficiency and effectiveness. Efficiency is re-
lated to answering the question of how efficiently scarce resources
are used throughout the implementation process to attain the in-
tended objectives (Durdyev et al. 2018). Effectiveness is related
to answering the question of how effectively the resources are uti-
lized to fulfill the set targets (Durdyev et al. 2018). At the medium
level, Yi and Chan (2014) conducted a systematic literature review
of labor productivity in the construction industry and found that the
existing knowledge could be classified into the following research
areas: the effect of variations on construction labor productivity,
methods and technology for productivity improvement, factors af-
fecting labor productivity, modeling and evaluation of construction
productivity, productivitys trends and comparisons, and baseline/
benchmarking construction labor productivity. At the detailed level,
the existing knowledge on labor productivity involves numerous
productivity aspects, including loss of labor productivity; the im-
pact of work changes on labor productivity; the effect of engineer-
ing aspects on productivity; the influence of labor force skills
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and experience on productivity; and productivity factors related to
management and control practices on construction sites, project
financing elements, availability and use of the needed material
and equipment, the properties of the project, external components,
manpower-related characteristics, technical factors, and many
others.
Combining the aforementioned high, medium, and detailed lev-
els with the literature review conducted in the previous subsection,
a conclusive summary was made of the existing knowledge on
construction productivity. The knowledge is considered to fall
under the following main categories: (1) prediction, modeling, and
evaluation of labor productivity, because it is an important piece
of information used in numerous construction-related aspects;
(2) identification of the factors that affect construction labor pro-
ductivity and its variations, to better understand how to improve
the productivity of the construction workforce; (3) development of
practical strategies and best practices, to enhance the productivity
on construction sites as well as in the construction industry; and
(4) examination of the effect of different methods, technologies,
and constrains on productivity enhancements, efficiency, and ef-
fectiveness in different construction markets and countries. The
previous literature on construction productivity includes qualita-
tive, quantitative, and mixed-methods approaches (Kisi et al. 2018)
that address the aforementioned diverse aspects of construction
productivity.
Knowledge Gap
This subsection identifies the knowledge gap to provide adequate
rationale to support the study undertaken. Previous research studies
mainly focused on studying labor productivity in the construction
industry. Although previous research works provided important
knowledge on labor productivity, no previous research work, to
the best knowledge of the authors, attempted to study the causalities
and relationships between the dynamic workforce and workplace
variables and the productivity of the industry as a whole. Conse-
quently, there is a knowledge gap in the literature in terms of the
quantification of the impacts of different workforce and workplace
variables on the productivity of the entire construction industry.
This paper proposes a new view of construction productivity
by approaching it from the perspective of the entire construction
output generated by the US construction industry with respect to
total construction employment rather than the individual labor pro-
ductivity of each construction worker or construction workforce
occupation (such as electricians, carpenters, and plumbers, among
others). Although the construction industry produces a large
amount of data on a periodic basis, existing data sets have not been
exploited fully (Cao and Goh 2019), and there is always a need for
more advanced and holistic modeling techniques (Assaad et al.
2020b). To this end, this paper addresses this critical knowledge
gap by developing a statistical framework that can model the
causalities and the relationships between different dynamic varia-
bles and construction productivity. Consequently, this paper takes
the previous research directions a step further by rigorously inves-
tigating the relationship between dynamic workforce and work-
place variables and the overall productivity of the construction
industry.
Determination of Workforce and Workplace Variables
Different workforce and workplace variables related to construc-
tion productivity are mentioned in the literature. The expression
workforce and workplace refers to the variables related to the
construction labor force and the workplaces working conditions.
This section identifies and describes these variables. Durdyev et al.
(2018) considered turnover an influencing factor on construction
productivity. Turnover refers to the number of construction work-
ers who leave a construction company. Koch (2017) considered
job openings to play a role in construction productivity and hiring
practices. Job openings refers to the total number of open job
vacancies that need to be filled by a construction worker. Rojas
and Aramvareekul (2003) considered construction employment to
investigate whether construction labor productivity is declining
and compared it with manufacturing labor productivity. Con-
struction employment refers to the total number of construction
workers in the construction industry. Sveikauskas et al. (2016)
considered average weekly hours worked in the construction in-
dustry to measure productivity growth. Average weekly hours re-
fers to the average hours per construction worker for which pay
was received. Ozturk et al. (2020) considered job losses to cause
changes in productivity. Job losses refers to the total number of
jobs lost by construction workers in the construction industry.
Sveikauskas et al. (2018) considered the value of construction put
in place (VIP) to assess productivity in the construction industry
because this measure provides good information about the total
construction output. VIP is a measure of the value of construction
work installed or erected at construction sites. Vereen (2013) con-
sidered job gains to affect labor demand in the US construction
industry, which in turn affects productivity. Job gains refers to the
total number of jobs gained by construction workers in the con-
struction industry. Also, the construction industry has been noted
for its high incident rates and poor safety performance (Abdul
Nabi et al. 2020b). In relation to that, Abrey and Smallwood
(2014) considered injuries and illnesses as unsatisfactory working
conditions that impact productivity in the construction industry.
Injuries and illnesses refers to the total number of nonfatal work-
place injuries and illnesses that construction workers experience.
Mirhadi (2018) considered hires to affect the efficiency of the
construction workforce, and thus also construction productivity.
Hires refers to the total number of employees that were hired in
the construction industry. Setiani and Abd Majid (2019) consid-
ered fatalities and safety to be a factor influencing productivity
in construction projects. Fatalities refers to the total number of
workplace accidents that led to the death of construction workers.
Kuznetsova et al. (2019) considered that there is a relationship
between productivity and unemployment. Unemployment is the
share of the construction labor force that is jobless. Hendrickson
(2005) considered changes in average hourly earnings to affect
the productivity measure in the construction industry. Average
hourly earnings refers to the average dollar amount that construc-
tion workers earn per hour. In addition, the size and contribution
of the construction industry to the economy usually is assessed as
a percentage of gross domestic product (GDP) (Mahamid 2013).
Higher GDP could reflect better labor well-being, which could
result in a better productivity. GDP is the monetary value of all
finished goods and services made within the US. Allmon et al.
(2000) considered total compensation rates as a factor that affects
construction productivity. Total compensation is the cost paid by
the construction employer for construction employee compensa-
tion per hour worked.
The previous workforce and workplace variables were consid-
ered for analysis in this paper. These variables were used because
they were mentioned in the literature and because they are available
from reliable sources such as the US Bureau of Labor Statistics
(BLS), the US Census Bureau, and the US Bureau of Economic
Analysis. These reliable sources provide consistent, periodically
updated, and well-maintained information and records on these
different variables.
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Time-Series Analysis and Vector Autoregression
This paper studied and modeled the impacts of different workforce
and workplace variables on the productivity of the construction in-
dustry. Because the collected data for this paper were time series
showing the fluctuations of the workforce and workplace variables
with time, the collected data were multivariate time series. Vector
autoregression (VAR) is the most commonly used statistical tech-
nique for modeling and predicting multivariate time series (Singh
2018). Therefore, time series analysis and VAR were deemed to be
feasible and suitable for the papers research objectives and data set.
This subsection provides the needed background information on
time series analysis and VAR.
Overview
Time series represent the changes in the values of dynamic varia-
bles over time. In other words, time series are the simplest form of
temporal data, and are a sequence of real numbers collected regu-
larly in time (Gunopulos et al. 2001). Studies utilizing time-series
analysis are growing at a very fast rate due to its wide applications
in a large variety of research fields (Gao et al. 2017). Time-series
analysis is a useful tool for better understanding the cause-and-
effect relationships between different dynamic variables (Kadilar
and Kadilar 2017). In simple terms, time-series analysis is a stat-
istical method to model and predict the future values of a variable
based on previously observed values of the same variable or other
relevant dynamic variables (Yang and Liu 2019). Time-series stat-
istical analysis methods are divided into two main types: univariate
time-series analysis, and multivariate time-series analysis. Univari-
ate time-series analysis includes studying a single sequence of
values for a particular variable. Multivariate time series are more
common in real life and real-world applications due to the inherent
complexities of dealing with two or more dynamic variables (Wang
et al. 2017). Although many methods exist to analyze/predict time-
series data, such as moving average, exponential smoothing, and
autoregressive moving average, among others (Brownlee 2018),
VAR is the most commonly used statistical technique for modeling
and predicting multivariate time series (Singh 2018). VAR is a stat-
istical modeling technique that expresses the terms in a multivariate
time series of Kdynamic variables as a linear combination of the
previous pvalues of the Kvariables (Abdu-Aguye and Gomaa
2018).
Previous Studies
Due to the numerous benefits of VAR, such as good forecasting
capabilities, simplicity of implementation, and ease of estima-
tion (Anggraeni 2016), it has been widely used in a variety of
applications (Wang and Ding 2018) such as economic, finance,
construction management, and engineering, among others. In rela-
tion to previous studies that used time series and temporal data
analysis in the construction engineering and management area,
Lingard et al. (2017) examined the temporal relationship between
the safety performance indicators to uncover time-dependent causal
relationships. Cao and Goh (2019) used time-series analysis to
identify the leading indicators or predictors of construction acci-
dents, and they developed three different time-series models for
predicting accidentsoccurrences. Xu and Lin (2016) used VAR
to analyze the influencing factors leading to changes in carbon
dioxide emissions in the construction industry to develop appropri-
ate energy policy and planning for the iron and steel industry.
Faghih and Kashani (2018) relied on time-series analysis to fore-
cast the short- and long-term prices of construction materials based
on a set of relevant explanatory variables. Lee et al. (2016) developed
a vector error correction model to perform an empirical analysis of
the impact of diversification on construction companiesinsolvency.
Ilbeigi et al. (2017) used time-series analysis to forecast the asphalt-
cement price and examine whether and how time-series forecasting
models can predict future prices of asphalt-cement with higher ac-
curacy than the existing approaches. Lin et al. (2018) utilized time-
series to find correlations between intellectual capital and business
performance to enable corporations to shape policy decisions that
benefit business performance. Swei et al. (2017) employed univariate
time-series models to project future costs and prices of concrete and
asphalt based on a probabilistic approach. Vereen (2013) developed
a VAR model to forecast the labor demand and found that 5.3
6.3 million skilled workers will be in demand by 2022. Because the
construction industry is a project-based industry, with projects taking
several months and years to complete, the monthly productivity of
the construction industry generally is considered to be dependent on
its previous lagged values. Therefore, time series and VAR were
employed in this paper to model and predict the productivity of the
construction industry.
Methodology
As shown in Fig. 1, the authors followed a methodology composed
of different steps (Fig. 1). Details on each one of these steps are
provided in the next subsections.
Data Collection and Description
The collected data included the following 14 dynamic workforce-
and workplace-related variables (mentioned in the section Back-
ground Information): VIP, total construction employment, average
weekly hours, GDP, job openings, job hires, turnover or job
separations, total compensation [includes wages and salaries, and
total benefits (insurance and retirement)], gross job gains, gross
job losses, average hourly earnings, work-related fatalities, work-
related occupational injuries and illnesses, and unemployment rate.
The VIP data were automatically collected from the US Census
Bureau through Pythons Scrapy package version 1.8.0, which is
used for data scraping. Data scraping is an automated process of
compiling data from multiple Web pages in a systematic way
(Bonifacio et al. 2015). The data for total construction employment,
average weekly hours, total compensation, unemployment rate, job
openings, job hires, turnover, gross job gains, gross job losses,
average hourly earnings, fatalities, and occupational injuries and
illnesses were collected from the US BLS. GDP was collected from
the Federal Reserve Economic Data (FRED) at the Federal Reserve
Bank of St. Louis (data from US Bureau of Economic Analysis).
All collected data were converted to a monthly time-step by inter-
polation and the addition of variability or noise whenever needed.
Table 1summarizes the variables used in this paper and their as-
sociated sources.
According to Sveikauskas et al. (2018), productivity can be cal-
culated as the ratio of total construction output to total hours
worked. The productivity of the construction industry, which is the
response variable in this paper, was obtained from the collected
data using Eq. (1)
Construction productivity ¼Total value of construction put in place ð$=monthÞ
Total construction empoyment ðemployee=monthÞ×total average weekly hours ðhours=weeksÞ×4ðweekÞ
ð1Þ
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Three of the collected variables were used to calculate the pro-
ductivity of the construction industry: VIP, total construction em-
ployment, and average weekly hours. Therefore, the final set of
the variables used in the statistical analysis in this paper included
the calculated productivity of the construction industry using
Eq. (1) and the other 11 dynamic workforce and workplace vari-
ables. Although these variables have different scales of measure-
ment, the statistical causalities and relationships between them
can be examined. For instance, McGowan (2019) found that a
1% increase in the labor unemployment rate decreases construction
value by $12 billion. Also, Shahandashti and Ashuri (2016) used
time-series analysis and vector correction models to predict the
national highway construction cost index (NHCCI) based on many
potential leading indicators/variables such as total employment in
the construction industry, average weekly hours, building permits,
housing starts, and unemployment rate, among others; these vari-
ables have different scales of measurement.
A study period from 2006 to 2019, inclusive, was selected for
the collected data/variables in this paper. This range was selected
for the study period because the variable average weekly hours was
not recorded before 2006. Because this variable was used to cal-
culate the output variable total productivity of the construction in-
dustry [Eq. (1)], no values for the models output variable could be
obtained before 2006. This means that no model could be devel-
oped before the 2006 year. In addition, the variable average hourly
earnings was not recoded before 2006. Furthermore, at the time this
study was performed, no data were available for the entire year
2020 because this year had not concluded. Therefore, a 20062019
study period was chosen in this research. Henceforth, construction
productivity refers to the productivity of the construction industry
as a whole.
Statistical Analysis and Modeling
The main statistical methods used in this research were cointegra-
tion testing, unit root testing, Granger causality testing, and VAR.
Cointegration Relationship Testing
The cointegration between variables should be examined to study the
significant relationships between the different variables. The purpose
of the cointegration test is to study the long-term relationships
Fig. 1. Research methodology.
Table 1. Variables and their sources
Variable Source
Total compensation US Bureau of Labor Statistics
Average hourly earnings US Bureau of Labor Statistics
Unemployment US Bureau of Labor Statistics
Fatalities US Bureau of Labor Statistics
GDP US Bureau of Economic Analysis
Hires US Bureau of Labor Statistics
Occupational injuries and illnesses US Bureau of Labor Statistics
Gross job gains US Bureau of Labor Statistics
Gross job losses US Bureau of Labor Statistics
Job openings US Bureau of Labor Statistics
Turnover US Bureau of Labor Statistics
Total construction employment US Bureau of Labor Statistics
Value of construction put in place US Census Bureau
Average weekly hours US Bureau of Labor Statistics
Construction productivityaUS Bureau of Labor Statistics and
US Census Bureau
aCalculated using Eq. (1).
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between the variables (Liu et al. 2019). The long-term relationship is
investigated by the cointegration test, which identifies whether two
or more time series are integrated together in a way that they cannot
deviate from equilibrium in the long term (CFI 2020). A long-term
relationship exists between variables when they share a similar trend
by being associated together over time rather than being correlated at
a specific or instantaneous time. In simple terms, even if the variables
deviate from each other in the short-term, they tend to return to the
trend in the long-term if they are cointegrated (Wei 201 6). Erica
(2020) provides more details on the cointegration test and the
long-term relationship between variables. In addition, the cointegra-
tion test analyzes whether there is a stable combination of the differ-
ent time-series data (Lee et al. 2019). This paper uses the Johansens
cointegration test due to its wide use (Mahadevan and Asafu-Adjaye
2007). When two or more time series are cointegrated, this indicates
they have a long-term statistically significant relationship. The null
hypothesis H0of the Johansen test is that there is no cointegration
between the variables (Elliott and Pesavento 2009). The trace statistic
is calculated for the Johansen cointegration test, and it is compared
with the critical trace statistic value at 95% (Rachev et al. 2007). The
trace test rejects the null hypothesis if the trace statistic exceeds the
critical value. In other words, if the null hypothesis is rejected, there
is a statistically significant relationship between the corresponding
two variables.
Unit Root Test
It is important to check the stationarity of the time series before
constructing the VAR model and before conducting the Granger
causality. In other words, it is critical to identify whether the var-
iables are stationary before developing the VAR model, because the
model can be applied only to stationary time series (Shahandashti
and Ashuri 2016). Stationary time series are those in which the
means, variances, and autocorrelation structures do not change over
time (Faghih and Kashani 2018). Stationarity can be assessed using
a unit root test (Lee et al. 2019). If the time-series data are not
stationary, they should be made stationary before developing the
VAR model by differencing, which eliminates trendschanges
by subtracting an earlier value from a later value. This research
implemented the widely used augmented DickeyFuller (ADF) test
(Dickey and Fuller 1979). The formulation of the ADF test is
shown in Eq. (2)
Δyt¼αþβtþγyt1þX
p1
i¼1
δiΔytiþutð2Þ
where t= time index; yt= time-series value corresponding to time t;
Δyt= lagged first differences (that is, ytyt1); α= intercept con-
stant (drift term); β= coefficient of time trend; and δcoefficient to
test if the data need to be differentiated to make them stationary.
The null hypothesis H0of the ADF test is that the time-series
data have a unit root; that is, they are nonstationary. The ADF test
generates a p-value that should be compared with a significance
level of 0.05 to determine whether the null hypothesis is rejected.
Differencing should be applied to all time series until all of them
become stationary. The order of integration represents the number
of differencings required to make a nonstationary time series sta-
tionary. Once all the time series are rendered stationary, the Granger
causality test can be applied to study the causalities between the
different variables and determine the explanatory variables causing
fluctuations in the response variable (Abediniangerabi et al. 2017).
Determination of Relevant Variables using Granger
Causality Testing
Before proceeding with developing a VAR model, it is quite
common to conduct the Granger causality test developed by
Granger (1969). The Granger causality test is a statistical technique
used in multivariate time-series analysis to examine whether the
lagged values of one variable helps to predict another variable
(Swei 2020). In other words, the Granger causality test is used
to identify the leading indicators or the relevant variables that affect
the response variable (Shiha et al. 2020). In simple terms, if a multi-
variate time series comprises two variables y1tand y2t, then Eq. (3)
is used to investigate the one lagged causality between these two
variables
Fðy1t;y2tÞ¼a1×y1t1þa2×y2t1þbð3Þ
The null hypothesis H0of the Granger test is that there is no
causality between y1tand y2t, that is, a2¼0[Eq. (3)]. In other
words, the null hypothesis states that y2tdoes not Granger-cause
y1t. Failing to reject H0means that y2tdoes not Granger-cause
y1t; therefore, there is no causality between them. In this case, the
variable y2tshould not be considered in the set of variables used to
develop the VAR statistical model. For a lag order p, the general
statistical formulation of the Granger causality test for two variables
can be represented by Eq. (4)(Lütkepohl et al. 2004)
y1t
y2t¼X
p
i¼1α11iα12i
α21iα22iy1t1
y2t1þutð4Þ
where i¼1;2;:::;p; and α12i¼0if y2tdoes not Granger-
cause y1t.
The Granger causality test was conducted to establish the cau-
salities between the response variable productivity of the construc-
tion industry and the other 11 potentially related variables with a
significance level of 0.05.
Vector Autoregression
The lag order pfor the VAR model can be iteratively determined by
fitting increasing orders of the VAR model and choosing the lag
order pthat gives a model with the lowest Bayesian information
criterion (BIC) (Swei et al. 2017;Ayhan and Tokdemir 2020).
When the lag order pis determined, the VAR statistical model is
fitted to quantitatively examine the relationships between the differ-
ent time series.
For two time series y1tand y2t, the associated VAR statistical
model for a lag order of 2 is shown in Eq. (5)
Fðy1t;y2tÞ¼a11 ×y1t1þa12 ×y1t2þa21 ×y2t1
þa22 ×y2t2þbð5Þ
If the VAR model is applicable to multivariate time series with K
variables and a lag order of p, the general representation of a VAR
model is shown in Eq. (6)(Lütkepohl et al. 2004)
Yt¼A1Yt1þ··· þApYtpþUtð6Þ
where Yt¼ðy1t; :::;yKtÞis a set of Ktime-series variables; Ap¼
ðkxkÞcoefficient matrix; and Ut= set of unobservable error terms
(Lütkepohl et al. 2004).
After fitting the VAR model based on the differenced time-series
data, the examination of the serial correlation of residuals (errors)
should be conducted (Prabhakaran 2019). Serial correlation is
important to check if there is any leftover pattern in the obtained
residuals (errors) from the VAR model. Checking for serial corre-
lation ensures that the fitted VAR model is sufficiently able to
explain the variances and patterns in the time series (Prabhakaran
2019). The DurbinWatson (DW) statistic was calculated using
Eq. (7) to examine the serial correlation of residuals. Values of DW
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test statistic in the range 13 are relatively normal, and any value
outside this range is a cause for concern (Field 2013)
DW ¼PT
t¼2ðetet1Þ2
PT
t¼1e2
t
ð7Þ
where DW = DurbinWatson statistic; and et= residuals at time t.
After fitting the VAR model, it was tested and validated on the
4-year period 20162019 inclusive. This 4-year period was selected
because it constituted about 30% (4 years divided by 14 years) of
the entire 14-year study period from 2006 to 2019, inclusive. This
is a recommended percentage for the testing data (Shahin et al.
2004) because it keeps aside enough data to give a good indication
of the models performance on unseen data. Because the VAR
model was fitted on the stationary differenced data series, the final
predictions were obtained by inverting (that is, integrating) the pre-
dicted differenced data series. The prediction accuracy of the fitted
VAR statistical model was determined based on the mean absolute
percentage error (MAPE) shown in Eq. (8)
MAPE ¼100
nX
n
t¼1
yt^
yt
yt
ð8Þ
where MAPE = mean absolute percentage error; n= number of
observations during prediction period; yt= actual value; and ^
yt=
predicted value using developed VAR model.
The Python programming language was used in this paper for
data management, statistical analysis, and visualization. The fol-
lowing libraries were used: pandas version 1.0.0, which generally
is used for data manipulation and management of numerical tables
and data structures; numpy version 1.18.1, which generally is used
to add support for large and multidimensional arrays and matrices
and to provide high-level mathematical functions; matplotlib
version 3.1.2, which generally is used for data plotting and visu-
alization; and statsmodels version 0.10.2, which generally is
used to conduct statistical tests, statistical data exploration, and es-
timation of different statistical models.
Results and Analysis
Statistical Examination
Fig. 2shows the collected time series data with monthly time
interval. After collecting and visualizing the data, the cointegration
Fig. 2. Monthly time-series data.
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relationship between the variables was examined using the
Johansens test statistic, and the obtained results are given in
Table 2.
There were significant relationships between the different var-
iables, because the obtained test statistic was greater than the criti-
cal test statistic at 95% for all variables (Table 2). Hence, the null
hypothesis H0that there is no cointegration between the variables
was rejected for all variables considered in this paper.
After examining the cointegration between the different varia-
bles, the stationarity of the data series was investigated. The ob-
tained results of the unit root test are listed in Table 3.
Only four of the original collected multivariate time-series data
were stationary (Table 3, Column 2): unemployment, fatalities,
occupational injuries and illness, and gross job gains. Therefore,
the data should be differenced so that all time series are stationary
before constructing the VAR model. After the first differencing
(Table 3, Column 3), six variables were stationary: construction
productivity, total compensation, hires, gross job losses, job open-
ings, and turnover. Because not all time series were differenced,
a second differencing of the data was needed. After the second dif-
ferencing of the data, all the time series were rendered stationary
(Table 3, column 4). Therefore, the VAR model could be developed
on the differenced stationary time-series data.
Before building the VAR statistical model, the Granger causality
test was conducted. The obtained results are listed in Table 4. The
null hypothesis was rejected for all variables except job openings.
In other words, all variables, except job openings, were considered
to Granger-cause the variable productivity of the construction in-
dustry. That is, the obtained p-value for the job openings variable
was higher than the 0.05 significant level, which indicates strong
evidence for the null hypothesis (Table 4). Because the null hypoth-
esis means that the input variable does not Granger-cause the out-
put variable (Shahandashti and Ashuri 2016), it can be concluded
that the job openings variable is the only variable that does not
Granger-cause the variable productivity of the construction indus-
try. Therefore, the variable job openings was not included in the
VAR statistical model developed for modeling and predicting the
productivity of the construction industry.
Vector Autoregression Model and Prediction
The VAR statistical framework was developed between the re-
sponse variable productivity of the construction industry, its lagged
values, and the following dynamic workforce and workplace var-
iables determined by the Granger causality test: total compensation,
average hourly earnings, unemployment, fatalities, GDP, hires, oc-
cupational injuries and illnesses, gross job gains, gross job losses,
and turnover. The VAR model was fitted on the stationary differ-
enced data series. The lag order pfor the VAR model was deter-
mined by fitting increasing orders of VAR models and choosing the
lag order pthat gave the lowest BIC. The obtained results for the
different lag orders and the associated values of BIC are listed in
Table 5.
The minimum BIC corresponded to a lag order pof 2 (Table 5).
Therefore, a lag order of 2 was selected for developing the VAR
statistical model for the construction productivity variable. A VAR
model was fitted using the collected data and the obtained results
are listed in Table 6.
Table 3. Results of stationary test
Variable
p-value
for no
differencing
p-value
for first
differencing
p-value
for second
differencing
Construction productivity 0.8011 <0.0001a<0.0001a
Total compensation 0.9661 0.0001a<0.0001a
Average hourly earnings 0.9893 0.0634 <0.0001a
Unemployment 0.0389a0.3958 <0.0001a
Fatalities 0.0047a0.4905 <0.0001a
GDP 0.9916 0.2423 0.0003a
Hires 0.5471 0.0273a<0.0001a
Occupational injuries
and illnesses
0.0015a0.5494 <0.0001a
Gross job gains 0.0024a0.0975 <0.0001a
Gross job losses 0.5229 0.0037a<0.0001a
Job openings 0.8779 0.0118a<0.0001a
Turnover 0.6412 <0.0001a<0.0001a
ap-value < 0.05 significance, meaning that the null hypothesis is rejected;
therefore, the series is stationary.
Table 2. Results of cointegration test
Variable
Obtained
test
statistic
Critical
test statistic
at 95%
Significant
relationship?a
Construction productivity 594.52 311.13 True
Total compensation 472.56 263.26 True
Average hourly earnings 376.89 219.41 True
Unemployment 285.20 179.52 True
Fatalities 222.36 143.67 True
GDP 164.36 111.78 True
Hires 118.82 83.94 True
Occupational injuries
and illnesses
88.62 60.06 True
Gross job gains 58.82 40.17 True
Gross job losses 38.57 24.28 True
Job openings 20.83 12.32 True
Turnover 6.84 4.13 True
aIf the obtained test statistic is greater than the critical test statistic at
95%, then there is a significant relationship (True); otherwise, there is no
significant relationship (False).
Table 4. Results of Granger causality test between productivity of con-
struction industry and other dynamic workforce and workplace variables
Null hypothesis (H0)p-value
Total compensation does not Granger-cause construction
productivity
0.0064a
Average hourly earnings do not Granger-cause
construction productivity
0.0173a
Unemployment does not Granger-cause construction
productivity
0.0440a
Fatalities do not Granger-cause construction productivity 0.0323a
GDP does not Granger-cause construction productivity 0.0139a
Hires do not Granger-cause construction productivity 0.0121a
Occupational injuries and illnesses do not Granger-cause
construction productivity
0.0484a
Gross job gains do not Granger-cause construction
productivity
0.0264a
Gross job losses do not Granger-cause construction
productivity
0.0408a
Job openings do not Granger-cause construction
productivity
0.1246
Turnover does not Granger-cause construction
productivity
0.0238a
ap-value < 0.05 significance, meaning that the null hypothesis is rejected;
therefore, there is causality with the response variable productivity of the
construction industry.
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Table 6gives the VAR statistical/mathematical model developed
in this paper. The VAR model was developed by obtaining the co-
efficient associated with each lagged variable. For example, the
coefficient for the one-lagged differenced productivity variable was
0.8137, the coefficient for the one-lagged differenced total com-
pensation variable was 21.1465, and so on (Table 6). The highest
coefficient in absolute value was that related to the one-lagged dif-
ferenced average hourly earnings variable, which means that this
lagged variable contributed the most to the fluctuations in construc-
tion productivity. The lowest coefficient in absolute value was that
related to the two-lagged differenced hires variable, which indicates
that this lagged variable contributed the least to the fluctuations in
construction productivity.
The serial correlation of the errors was checked using DW
statistic. This is important to examine if there is any leftover
pattern in the residuals (errors) obtained from the VAR model.
The DW statistic obtained was 2.12, which is between 1 and 3;
therefore, the developed VAR model is sufficiently able to explain
the variances and patterns in the time series (Prabhakaran 2019;
Field 2013).
Consequently, the developed VAR model was tested and vali-
dated by predicting the construction productivity between 2016 and
2019. The predictions were generated after inverting the predicted
differenced data series. To assess and validate the developed VAR
statistical model, the MAPE was calculated to evaluate the models
predictions. Fig. 3shows the actual and predicted values for the
productivity of the construction industry using the developed VAR
model. The obtained associated residuals are shown in Fig. 4.
The developed VAR statistical model for the productivity of the
construction industry had a MAPE of 5.13% (Fig. 3). In addition,
the residuals indicate that the developed VAR model slightly under-
estimated the productivity between 2016 and the end of 2018, and it
slightly overestimated the productivity for the period from the end
of 2018 to the end of 2019 (Fig. 4). Nevertheless, the overall ob-
tained residuals are considered acceptable because they are within a
satisfactory range of error. The obtained MAPE of 5.13% is accept-
able because it is less than 10%, which is the generally accepted
Table 5. BIC results for different VAR lag orders
Lag order pBIC
0 38.61
1 36.18
2 32.71a
3 34.71
4 36.47
5 37.45
6 39.61
7 41.49
8 43.6
9 44.08
10 44.41
11 42.65
12 39.19
aLowest BIC; therefore, a lag order of 2 was selected for the VAR model.
Table 6. Fitted VAR statistical model for construction productivity
Lagged variable Coefficient
L1. Productivity 0.8137
L1. Total compensation 21.1465
L1. Average hourly earnings 30.8967
L1. Unemployment 0.1639
L1. Fatalities 0.1980
L1. GDP 0.0428
L1. Hires 0.0105
L1. Occupational injuries and illnesses 0.1234
L1. Gross job gains 0.3613
L1. Gross job losses 0.0802
L1. Turnover 0.0079
L2. Productivity 0.2874
L2. Total compensation 6.2199
L2. Average hourly earnings 11.0521
L2. Unemployment 1.1089
L2. Fatalities 0.1471
L2. GDP 0.0182
L2. Hires 0.0027
L2. Occupational injuries and illnesses 0.1431
L2. Gross job gains 0.2235
L2. Gross job losses 0.2468
L2. Turnover 0.0135
Constant 0.4081
Note: Coefficients were obtained for the differenced (with an order of 2)
data series, and thus they reflect more the nature of change (decrease or
increase) in the productivity rather than the direct impact on the value of
the construction productivity itself.
Fig. 3. Prediction of the construction productivity using the fitted VAR
statistical model.
Fig. 4. Obtained prediction residuals for the developed VAR model.
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MAPE for a robust prediction model (Fan et al. 2010). Hence, the
developed VAR statistical model is perceived to be a good frame-
work that can be used to model and predict the productivity of the
entire construction industry.
Analysis of Findings
Cointegration occurs naturally in economics and finance applica-
tions in which there are relationships between different variables.
For example, in the well-known permanent income model, there
is cointegration between consumption and income. Nevertheless,
cointegration might not be present naturally in engineering and
management applications. However, the findings of the cointegra-
tion test conducted in this paper indicate that there were equilibrium
relationships between the construction productivity variable and the
other dynamic workforce and workplace variables considered in
this paper. This shows that the collected time-series data sets were
linked to each other. Specifically, the paper investigated the long-
term equilibrium relationships between the variables because dif-
ferent forces, which act in response to deviations from equilibrium,
may take a long time to restore equilibrium (Zivot and Wang 2007).
This concludes that there could be a stationary linear combination
between construction productivity and the different workforce and
workplace variables, which cannot vary too much from an equilib-
rium (Johansen 2009,Dickey 2007).
The findings of the unit root test indicated that when the col-
lected times-series data were differenced twice, all the time-series
variables became stationary. This means that there was no stochas-
tic trend in the differenced time series, which often is referred to as
random walk with drift (Shifera 2019). Therefore, the differenced
construction productivity variable and the dynamic workforce and
workplace variables did not possess a unit root, and thus they did
not have a pattern that is unpredictable (Sodiq Olawale 2019).
According to Glen (2016b), this is a desirable property because the
existence of a unit root can create serious issues, including spurious
regressions (a high coefficient of determination even if the data
are uncorrelated) and errant behavior or invalid inferences (due
to assumptions for analysis not being valid).
The findings of the Granger test reflected on the structures of
the causal relationships between the different variables and the re-
sponse variable construction productivity. Specifically, the findings
highlighted that the majority of the variables (10 of the 11 dynamic
workforce and workplace variables) are useful for predicting con-
struction productivity. Therefore, it is inferred that the fluctuations
in construction productivity are associated with corresponding
changes in the 10 predictor variables, and hence have a robust pat-
tern of Granger causality. In other words, construction productivity
is affected by 10 of the dynamic workforce- and workplace-related
variables considered in this paper. All obtained results justified
the rationale behind conducting this research and have statistically
proved the concept of productivity for the entire construction
industry.
Nevertheless, because the focus of this study was to understand
the impacts of the dynamic workforce and workplace variables on
construction productivity, the individual impacts of the dynamic
variables were quantified by developing a VAR statistical model.
The obtained findings from the VAR model provided insights on
the particular relationships between the variables. More specifi-
cally, the dynamic nature of the variables was determined by inves-
tigating different orders for the leads and lags in the time series
data. It was found that a lag order of 2 best modeled the fluctuations
in construction productivity based on the changes in the 10 predic-
tor variables. This indicates that the changes in the workforce- and
workplace-related variables for two periods or steps have a relevant
impact on the construction productivity. These variables were con-
sidered dynamic because their values change from one period to the
other, and their values are linked to other variables depending on
time (Abbas and Mosallamy 2016). Because it is difficult to inter-
pret the large number of coefficients in a VAR model (Stanslaus
2017), the authors did not focus on the individual interpretation of
the obtained coefficients, however the coefficients could still be of
value to better understand the nature of the impact of each dynamic
variable on the construction productivity. To check if the developed
VAR model is sufficiently able to explain the variances and patterns
in the time series, the serial correlation of the error terms or resid-
uals was investigated using the DW statistic. Serial correlation oc-
curs when the error terms of a time series are transferred from one
period to another; that is, when the error in a period is correlated
with the error in a subsequent period (Glen 2016a). For example, an
overestimate of the construction productivity for one month would
result in an overestimate of the construction productivity for the
subsequent month. This would lead to biases, and thus serial cor-
relation of error terms is not desired because it can lead to myriad
problems, including but not limited to inefficient estimation of the
coefficients, underestimation of the error variance, and underesti-
mation of the variance of the coefficients, among many other issues
(NCSS 2006). The findings of the paper indicate that the obtained
DW statistic was 2.12, which is a desirable value because it lies
between 1 and 3 (Field 2013). Thus, the findings concluded that the
developed VAR statistical framework is sufficiently able to explain
the variances and patterns in the time series. Finally, the prediction
accuracy of the developed VAR model was acceptable, with a
MAPE of 5.13%.
Discussion and Limitations
Although labor productivity is not equal to the productivity of the
construction industry, the obtained results could still be examined
by comparing them with those of previous studies related to labor
productivity. This is because labor productivity is believed to influ-
ence the productivity of the entire industry since the labor force is
performing the construction work and generating the total construc-
tion output.
This paper showed that all considered workforce and work-
place variables have statistical causalities with the construction
industry productivity, except for job openings. These results could
be positioned with respect to previous studies. For instance, total
compensation is one of the most important workforce variables
that construction owners, contractors, and unions track for differ-
ent reasons, such as project planning, risk management, and esti-
mating (CLMA 2018). In addition, Brill et al. (2017) established
that productivity and compensation are correlated. Moreover,
Hendrickson (2005) considered changes in average hourly earnings
to affect the productivity measure in the construction industry. This
could be due to the fact that the construction productivity increases
when workers are monetarily motivated by good total compensa-
tion (including wages, salaries, and benefits such as insurance and
retirement) or high hourly earnings. Additionally, Ayodele et al.
(2020) stated that high labor turnover or job separations can affect
the construction productivity and the business performance of con-
struction firms. This could be attributed to the deterioration of
the learning curve due to the replacement workers and the loss of
knowledge and skill (Allen et al. 2010;Parrotta and Pozzoli 2012).
Moreover, McGowan (2019) argued that the unemployment rate
affects the value of construction put in place, and in turn, construc-
tion productivity. Furthermore, workplace fatalities and occupa-
tional injuries substantially affect the productivity on construction
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sites because construction projects might be closed, slowed, or sus-
pended due to such inefficiencies (Walter 2008). In fact, the con-
struction industry has poor safety performance and high incident
rates compared with other industries (Abdul Nabi et al. 2020a).
In addition, job losses and job gains can cause changes in produc-
tivity (Ozturk et al. 2020;Vereen 2013). This can be explained by a
fundamental principle in productivity theory in which productivity
is expected to be maximized when there is neither overstaffing
(more workers than needed) nor understaffing (fewer workers than
needed). Moreover, the number of hires in the construction industry
can affect the efficiency of the construction workforce (Mirhadi
2018), and in turn the construction productivity. In fact, to over-
come the difficulties related to construction productivity and to find
enough experienced construction workers, construction companies
try to hire more people to match the current and expected construc-
tion demand (AGC 2018;Semler 2020). On the other hand, one
reason for the absence of causality between job openings and pro-
ductivity can be that, although construction jobs are available, there
could be a shortage of labor to fill the open positions. Thus, job
openings do not necessary have a significant impact on productivity
since labor was not necessarily employed for the available posi-
tions. Staffing difficulties are very common in the construction in-
dustry, and they have become more pronounced in recent years
because the construction industry failed to seize the opportunity
to replenish its supply of skilled laborers (CLMA 2013).
One of the limitations of this research is the unidirectional re-
lationship between the different dynamic workforce and workplace
variables on the one hand and the productivity of the construction
industry on the other hand. That is, this research was limited to
studying how the response variable (construction productivity)
was influenced by the predictor variables (workforce and work-
place variables), but not vice versa. Another limitation was the pa-
pers focus on the workforce and workplace variables that can affect
construction productivity rather than other industry-, government-,
or economic-related variables. Future research work could try to
address this limitation by studying the effects of other variables
on construction productivity. Moreover, this paper was limited
to be a proof-of-concept for a new notion of gross construction pro-
ductivity, and thus it acts as a step toward the development of a new
gross construction productivity indicator.
Theoretical and Practical Implications
From the theoretical perspective, this paper proposes a new theo-
retical concept of gross construction productivity. The theoretical
implications of this research include the opportunities that this pa-
per could generate in relation to studying the health of the construc-
tion industry based on the productivity of the industry as a whole
rather than based on labor productivity alone. Therefore, this re-
search should help in moving toward the development of a theo-
retical notion of gross construction productivity. This notion was
inspired by the use of the gross domestic product to study and
evaluate the health of economies and countries, as well as by the
use of the word grossby the US Bureau of Labor Statistics for
other variables such as gross job gains and gross job losses in the
entire construction industry (US Bureau of Labor Statistics 2020).
The notion of gross construction productivity is expected to result
in an indicator or index that models and incorporates the relation-
ship between different dynamic variables and the broad economic
output. Many previous research efforts reflected the health or the
importance of the construction industry by examining its share of
or percentage contribution to GDP. Nevertheless, because the
construction industry is one of the largest industries nationwide,
the health of the industry is better examined in terms of gross con-
struction productivity, instead of being represented as a simple per-
centage or share of the total GDP. Thus, the theoretical implications
of this paper include motivating future scholars to delve into this
new theoretical area or notion of gross construction productivity
more deliberately.
The findings of this paper could open practical opportunities in
relation to using the productivity of the entire construction industry
to anticipate market volatility in the construction industry, as well
as to identify potential improvements in the overall productivity of
the industry. This is because construction productivity is an impor-
tant metric that provides feedback about the industry trends and
improvements (Vereen et al. 2016). This also could lead to a better
execution of construction projects, because productivity affects the
performance of projects in the construction industry (Soekiman
et al. 2011). Moreover, the practical implications of this paper are
reflected in the importance of the research to the different entities
that supply information to US construction companies. This paper
provides them with an additional and important piece of informa-
tion (i.e., the gross construction productivity) that could be used to
make different decisions. For example, the gross construction pro-
ductivity could be added as an additional piece of information to
the value of construction spending that the Information Handling
Services (IHS) closely observes to enlighten construction firms
about business risks in the construction industry (IHS 2020).
Another example is the Associated Builders and Contractors
(ABC), which can provide its members with the value of gross con-
struction productivity in addition to residential and nonresidential
construction spending, which ABC carefully tracks and reports
to its members on a monthly basis (ABC 2020). In fact, construc-
tion firms utilize information about the future trends of the overall
construction industry indicators in making their strategic business
decisions, such as market entry, consolidation (mergers and ac-
quisitions), business expansion and contraction, and staffing
(Abediniangerabi et al. 2017). Therefore, one of the practical con-
tributions of this paper is to add gross construction productivity
to these industrywide indicators. In summary, gross construction
productivity is additional valuable information that construction
companies can use to make different insightful and well-educated
industry-related decisions.
Conclusion
The paper identified a critical gap in the body of knowledge in terms
of construction productivity. Specifically, previous research works
concentrated on labor productivity, without studying whether the
productivity could be assessed for the entire construction industry.
This research examined and quantified the impacts of different
workforce and workplace variables on the productivity of the entire
construction industry. The authors collected empirical multivariate
time-series data for the period from 2006 to 2019, inclusive, for con-
struction productivity and for 11 dynamic workforce and workplace
variables: job openings, job hires, turnover or job separations, total
compensation, gross job gains, gross job losses, average hourly
earnings, fatalities, occupational injuries and illnesses, gross domes-
tic product, and unemployment rate. Causalities and statistically sig-
nificant relationships were examined. Relying on statistical test for
the collected data series, a VAR framework was developed based on
all dynamic workforce and workplace variables, except job open-
ings, to model the temporal variations in the construction produc-
tivity. The developed VAR model was validated by predicting the
construction productivity for the period 20162019, inclusive, with
an acceptable MAPE of 5.13%.
© ASCE 04020092-11 J. Manage. Eng.
J. Manage. Eng., 2021, 37(1): 04020092
Downloaded from ascelibrary.org by Missouri University of Science and Technology on 10/06/20. Copyright ASCE. For personal use only; all rights reserved.
Based on the findings of the paper, it is concluded that (1) the
new concept of gross construction productivity is statistically jus-
tified and should be implemented in the construction industry, be-
cause the findings indicated that statistically significant long-term
relationships had a predictable (nonstochastic) statistical pattern,
and reflected statistical significant causalities between the produc-
tivity of the construction industry and different dynamic workforce
and workplace variables; (2) gross construction productivity is ad-
ditional valuable information that construction companies should
consider to make different insightful and well-educated industry-
related decisions; (3) the health of the construction industry needs
to be studied based on the productivity of the industry as a whole
rather than based on labor productivity alone; and (4) the construc-
tion industry should move toward the development of a notion of a
gross construction productivity indicator used to measure, evaluate,
and predict the performance of the entire industry. Ultimately, this
paper proposes a new indicator or index for gross construction pro-
ductivity. The outcomes of this paper add to the body of knowledge
by providing a better understanding of the impact of different dy-
namic workforce and workplace variables on the construction pro-
ductivity and by offering a new concept called gross construction
productivity.
Data Availability Statement
All data generated or analyzed during the study are included in the
published article.
Acknowledgments
The authors appreciate the comments, suggestions, and recommen-
dations provided by the anonymous reviewers, because they collec-
tively helped hone and strengthen the quality of this manuscript
during the blind peer-review process.
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... The level of knowledge about the said project or organization, management of the process involved in the activity, and knowledge of the product sought after. [18,26,27] Sense of Belonging A feeling of togetherness, of belonging to a group, a crew, family, and society. [4,28,29] Psychological well-being Anxiety/depression Panic, self-loath, and mental breakdown because of one's inability to function effectively. ...
... [9,39,40] Job stability Assurance of one's job in an organization. [26,37,41] Stress management Managing the workforce burnout, providing avenues to take time off to be energized to continue the job again. [10,20] Performance Cost performance The measure of costs on a project in terms of budget earned value analysis. ...
... As managers are responsible for making critical decisions and strategic planning, having comprehensive knowledge about construction processes is vital. A manager with adequate knowledge is likely to achieve better performance, while a manager with less knowledge may lead to lower performance [26]. ...
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... Yet if constructability can be measured quantitatively, it could be incorporated directly into an optimization workflow, allowing designers to make informed decisions that balance performance goals with practical considerations. While constructability is usually assessed manually based on experience [20], there are future opportunities to formulate quantitative metrics if working with robotic technologies. These opportunities occur at different scales and construction phases, but a prominent area of focus is fabrication or assembly of components. ...
... The "type" of parameter or variable can be discrete, continuous, or categorical. The parameters "school type" (elementary) and "number of students" (20) generate the necessary programmatic area for the building based on guidelines from the U. S. Department of Education [82]. The same workflow can be adjusted for other parameters, such as changing the school type. ...
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Multi-objective optimization can enhance design quality through performance simulation. However, ease or efficiency of construction is also important, and optimization may lead to difficult-to-build designs. Early quantification of constructability would allow designers to balance performance and construction issues. While it is difficult to quantify all factors that influence constructability, robotic construction simulations offer rich datasets to compare potential outcomes. This paper integrates constructability knowledge into early-stage design and examines the impact on multi-objective optimization. It evaluates robotic material delivery systems in constructing a standalone classroom optimized for structural, daylighting, and energy goals. When considering robotic pick and place time, the optimized designs differ, offering the opportunity to change design directions based on construction knowledge. Broader implications also become observable, as incorporating robots with higher carrying capacities reduces the structural elements and embodied carbon of optimal designs. This paper thus demonstrates benefits of incorporating robotic constructability simulation into early design optimization.
... Owing to the dynamic nature of the construction industry, the construction labor market is also dynamic, and thus its state changes over time (Assaad and El-adaway 2021). Moreover, it is viewed that the factors influencing the number of skilled workers entering, participating in, and exiting the construction industry are highly interdependent, so that a change in one factor can impact others (Sing et al. 2016). ...
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