Estimating the marginal cost of a life year in Sweden’s public healthcare sector
The European Journal of Health Economics
https://doi.org/10.1007/s10198-019-01039-0
ORIGINAL PAPER
Estimating the marginal cost of a life year in Sweden’s public
healthcare sector
Jonathan Siverskog1
· Martin Henriksson1
Received: 15 November 2018 / Accepted: 12 February 2019
© The Author(s) 2019
Abstract
Although cost-effectiveness analysis has a long tradition of supporting healthcare decision-making in Sweden, there are no
clear criteria for when an intervention is considered too expensive. In particular, the opportunity cost of healthcare resource
use in terms of health forgone has not been investigated empirically. In this work, we therefore seek to estimate the marginal
cost of a life year in Sweden’s public healthcare sector using time series and panel data at the national and regional levels,
respectively. We find that estimation using time series is unfeasible due to reversed causality. However, through panel instrumental variable estimation we are able to derive a marginal cost per life year of about SEK 370,000 (EUR 39,000). Although
this estimate is in line with emerging evidence from other healthcare systems, it is associated with uncertainty, primarily
due to the inherent difficulties of causal inference using aggregate observational data. The implications of these difficulties
and related methodological issues are discussed.
Keywords Opportunity cost · Threshold · Healthcare expenditure · Mortality · Life expectancy · Cost-effectiveness analysis
JEL Classification C32 · C33 · C36 · I10 · I18
Introduction
In practise, the decision to reimburse an intervention is often
informed by judging its incremental cost-effectiveness ratio
(ICER) against a cost-effectiveness threshold. Although
imperative for resource allocation decisions and the interpretation of cost-effectiveness analysis, this threshold value
has received remarkably little attention up until recently
[1]. Sweden is no exception, and despite a long tradition of
using cost-effectiveness analysis as an input into healthcare
decision-making, the criteria for when an intervention is
considered too expensive are vague. It has been argued that a
threshold should represent the opportunity cost of healthcare
resource use [2] and most commonly this is construed either
Electronic supplementary material The online version of this
article (https://doi.org/10.1007/s10198-019-01039-0) contains
supplementary material, which is available to authorized users.
* Jonathan Siverskog
1
Centre for Medical Technology Assessment, Department
of Medical and Health Sciences, Linköping University,
581 83 Linköping, Sweden
as private consumption forgone or health forgone. These two
conceptions of opportunity cost are often referred to as the
demand-side threshold (v-threshold), which tells us the consumption value of health gains, and the supply-side threshold (k-threshold), which indicates the marginal cost at which
health could be generated if resources were not re-allocated
to fund the evaluated intervention. Whether the demandside or supply-side threshold is deemed more appropriate
depends, among other things, on the objective function and
the constraints of the relevant authority. However, regardless of these aspects, there seems to be consensus in the
literature that an estimate of the opportunity cost in terms
of health forgone is often required [1, 2]. If resources are
not readily transferrable between sectors, we cannot know
whether reimbursement or approval decisions are expected
to increase or decrease population health (by displacing
other more productive healthcare services) without such
an estimate. Furthermore, as noted by Brouwer et al. [1],
even if resources are assumed (at least partly) transferable
between sectors, an estimate of the supply-side threshold
would be useful for understanding the discrepancy between
what we would like to spend and what we are actually spending to gain health. Although estimates are emerging in the
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literature [3–5], there is still no empirical estimate of the
supply-side threshold for Sweden and many other countries
where cost-effectiveness analysis is an important aspect
of healthcare decision-making. The approach in available
studies is to derive the threshold from the marginal effect
of healthcare expenditure on mortality. There is, of course,
already an abundance of studies on this relationship; see, e.g.
Nolte and McKee [6] for a review or Gallet and Doucouliagos [7] for a meta regression analysis. As noted by Gravelle
and Backhouse [8], however, it is important for such estimation to take into account that expenditure is unlikely to be
exogenous with respect to mortality, which most past studies
fail to do. Therefore, the relevant literature on this approach
to supply-side thresholds is, so far, quite sparse.
To the best of our knowledge, the study by Lichtenberg
[9] is the first to express the relationship between healthcare expenditure and mortality as a cost per life year gained.
It uses a time series on life expectancy at birth and public health expenditure in the United States and estimates a
geometric lag model to derive a cost per life year of USD
9640. The issue of endogeneity is to some extent addressed
by the model lag-structure and Granger causality testing.
Martin et al. [10] estimate two disease-specific thresholds,
one for cancer care at GBP 13,137 per life year and one
for circulatory disease at GBP 7979 per life year. Their
study considers a cross-section of years of life lost (YLL)
and NHS expenditure for English primary care trusts. The
relationship is estimated by two-stage least squares (2SLS),
where the proportion of households that are lone pensioner
households and the proportion of the population providing
unpaid care act as instrumental variables for expenditure.
Using data on EQ-5D scores for ICD-10 categories, average
health-related quality of life (HRQoL) weights are calculated
for cancer and circulatory disease to adjust the estimates to
costs per quality-adjusted life year, QALY (GBP 19,070 and
GBP 11,960, respectively). This approach is reapplied to ten
programmes of care by Martin et al. [11]. Claxton et al. [3]
build on this work to estimate an overall threshold for the
English NHS at GBP 12,946, by also estimating the budget
elasticity of expenditure for all programmes of care. This
also attempts to include pure HRQoL effects by considering the QALY burden of disease. Claxton et al. [12] further
consider a different set of instruments suggested by Andrews
et al. [13] to re-estimate some mortality effects, but do not
derive a new threshold.
More recently, Edney et al. [4] estimate the effect of healthcare expenditure on YLL from a cross-section of small geographical areas in Australia. They also use the proportion of the
population providing unpaid care as an instrument for expenditure and derive a threshold for the Australian health system at
AUD 28,033 per QALY. YLL are adjust (...truncated)