Health Care Manag Sci
DOI 10.1007/s10729-016-9379-x
Forecasting the medical workforce: a stochastic agent-based
simulation approach
M´ ario Amorim Lopes
1
·
´
Alvaro Santos Almeida
2
· Bernardo Almada-Lobo
1
Received: 13 February 2016 / Accepted: 22 August 2016
© Springer Science+Business Media New York 2016
Abstract Starting in the 50s, healthcare workforce plan-
ning became a major concern for researchers and policy
makers, since an imbalance of health professionals may
create a serious insufficiency in the health system, and even-
tually lead to avoidable patient deaths. As such, methodolo-
gies and techniques have evolved significantly throughout
the years, and simulation, in particular system dynamics,
has been used broadly. However, tools such as stochas-
tic agent-based simulation offer additional advantages for
conducting forecasts, making it straightforward to incor-
porate microeconomic foundations and behavior rules into
the agents. Surprisingly, we found no application of agent-
based simulation to healthcare workforce planning above
the hospital level. In this paper we develop a stochas-
tic agent-based simulation model to forecast the supply of
physicians and apply it to the Portuguese physician work-
force. Moreover, we study the effect of variability in key
input parameters using Monte Carlo simulation, conclud-
ing that small deviations in emigration or dropout rates may
originate disparate forecasts. We also present different sce-
narios reflecting opposing policy directions and quantify
M´ ario Amorim Lopes
mario.lopes@fe.up.pt
´
Alvaro Santos Almeida
almeida@fep.up.pt
Bernardo Almada-Lobo
almada.lobo@fe.up.pt
1
INESC-TEC Porto, Faculdade de Engenharia da Universidade
do Porto, Porto, Portugal
2
CEF-UP, Faculdade de Economia da Universidade do Porto,
Porto, Portugal
their effect using the model. Finally, we perform an analy-
sis of the impact of existing demographic projections on the
demand for healthcare services. Results suggest that despite
a declining population there may not be enough physicians
to deliver all the care an ageing population may require.
Such conclusion challenges anecdotal evidence of a sur-
plus of physicians, supported mainly by the observation that
Portugal has more physicians than the EU average.
Keywords Healthcare workforce planning · Agent-based
simulation · Health economics · Monte Carlos analysis
1 Introduction
Health care delivery is a labor-intensive sector, composed
of physicians, nurses, clinical assistants and other adminis-
trative staff. Imbalances in the supply of human resources
delivering health care services are known to cause severe
economic and social harm [4], and may ultimately lead
to patient deaths [52]. Concern has been growing over a
future lack of human resources for health [49], and the
United Nations has included this pressing problem in their
Millennium Development Goals [21]. It is not an isolated
problem, as a lack of medical staff in developed countries
may divert scarce resources from developing countries. As
a result, several health authorities and academic institutions
have been addressing this problem. The work hereby pre-
sented is part of one such initiative, the EU Joint Action
on Healthcare Workforce Planning and Forecasting. One
of the main goals is to develop a robust model to forecast
the evolution of the medical workforce. The first step was
to consult the literature. After reviewing over 60 years of
research in the field to understand how it evolved in terms
of methodologies and its current state [4], we noted that no