Valuation of Chemical related Health Impacts

10 Unit costs - summary of results

This chapter summarises and discusses the estimates that have been developed through chapter 3-7. Furthermore, the aim is to set up low and high unit cost estimates for each disease based on the discovered uncertainties.

10.1 Summary of results

Table 10-1below summarises the results from the estimations in chapter 3 to 7. The relative distribution of the costs is seen in

Table 10-1: Summary of unit cost estimates, DKK, 2002-prices

  Discount rate: 3% Discount rate: 6%
Headache (cost per episode) Direct costs 1
Welfare loss 179
Production loss 184
Total unit cost 364
Contact allergy (cost per patient) Direct costs 40,671 28,341
Welfare loss 230,864 156,818
Production loss 19,753 13,418
Total unit cost 291,288 198,577
Asthma (cost per attack) Direct costs 417
Welfare loss 1,186
Production loss 391
Total unit cost 1,993
Lung cancer (cost per patient) Direct costs 143,685 142,090
Welfare loss 9.286.110 9.147.796
Production loss 253,616 235,802
Total unit cost 9.683.411 9.525.689
Skin cancer (cost per patient) Direct costs 12,171
Welfare loss 230,629
Production loss 6,625
Total unit cost 249,424

In general it is seen that the indirect costs count for the major part of all cost estimates, ranging from 79% to 99.7% of the total unit costs. Especially, the individual welfare loss becomes of major importance counting for 40% to 96% of the cost estimate

Figure 10-1: Relative distribution of the cost elements (3% discount rate)

Figure 10-1: Relative distribution of the cost elements (3% discount rate)

10.2 Uncertainties - Low and high unit cost estimates

Low and high unit cost estimates may be useful in connection with economic assessments, and is provided here, by a heuretic approach. This basically means, that uncertainties are analysed by a combination of information of uncertainties of various parameters based on various sources combined with the consultant's judgement. Ideally, high and low estimates should be developed through complex mathematical simulations by combining uncertainties of all uncertain parameters. This, however, demands extensive data and is rather complex, and will not be possible within the present project.

The low and high unit cost estimates are to reflect the 5% and the 95% percentiles respectively. Thus, the low estimate illustrates the level at which the "true" unit cost value with 5% probability will be equal to or lower than. Likewise, the high cost estimate illustrates the level at which the "true" value with 5% probability will be equal to or higher than. This principle is illustrated in Figure 10-2 below.

Figure 10-2: Illustration of the principle behind low and high estimates

Figure 10-2: Illustration of the principle behind low and high estimates

The present approach is divided in two steps. First, the critical elements of the unit cost estimates are identified from two criteria: Their relative importance and their degree of uncertainty. Secondly, high and low values of the identified critical elements are set and the effect on the unit cost estimates is analysed.

10.2.1 Identification of critical elements

The assessment of relative importance and degree of uncertainty is done for each of the three main elements: direct costs, welfare loss and production loss. Each element is assigned a weight (on a ordinal scale) from 0 (unimportant/no uncertainty) to 3 (very important/large uncertainty). The assessment results are relative to each other among cost elements and diseases.

Below, the assessment of importance and uncertainty is presented for each disease by a table supplemented by bullets explaining the assessment.

Headache:

  • Direct costs: of no importance, but rather uncertain
  • Welfare loss: Counts for 40% of the unit cost value and thus of some importance. Some degree of uncertainty, due to a WTP survey from Norway. However, definition of the disease in the present study is identical with definition of the WTP survey.
  • Production loss: Counts for 60% of the unit cost value, meaning great importance. The extent of absence from work is rather uncertain, resulting in uncertainty of 2.

Table 10-2: headache

Cost element Relative importance degree of uncertainty
Direct costs 0 2
Welfare loss 2 2
Production loss 3 2

Contact allergy

  • Direct cost: Is of little importance and subject to relatively little uncertainty
  • Welfare loss: Counts for 79% of the unit cost value and thus of great importance. Uncertainty is high, due to no precise WTP estimate available (WTP of a "symptom day" used) as well as uncertainty about the number of symptom days per year.
  • Production loss: Of little importance and some uncertainty (number of days of absence may be underestimated).

Table 10-3: Contact allergy

Cost element Relative importance degree of uncertainty
Direct costs 1 1
Welfare loss 3 3
Production loss 1 2

Asthma

  • Direct cost: Of little importance and subject to relatively little uncertainty
  • Welfare loss: Counts for 59% of the unit cost value and thus of great importance. Rather good WTP estimate but taken from a Norwegian survey, and benefit transfer is always subject to some uncertainty
  • Production loss: Of little importance and little uncertainty due to high quality data on degree of absence

Table 10-4: Asthma

Cost element Relative importance degree of uncertainty
Direct costs 1 1
Welfare loss 3 2
Production loss 1 1

Lung cancer

  • Direct cost: Of little importance and subject to relatively little uncertainty
  • Welfare loss: Counts for 96% of the unit cost value and is thus of great importance. Very large uncertainty due to benefit transfer from a Sicilian study, where the context and approach are uncertain, combined with the great uncertainty of the value of a statistical life.
  • Production loss: Is of little importance but subject to a high degree of uncertainty, since the extent of absence during the illness is unknown and thus based on guesstimates.

Table 10-5: Lung cancer

Cost element Relative importance degree of uncertainty
Direct costs 0 1
Welfare loss 3 3
Production loss 0 3

Skin cancer

  • Direct cost: Of little importance and subject to relatively little uncertainty
  • Welfare loss: Counts for 92% of the unit cost value and is thus of great importance. Very uncertain as described in chapter 9.4.
  • Production loss: Of little importance but a certain degree of uncertainty, since no high quality data on the degree of absence has been found.

Table 10-6: Skin cancer

Cost element Relative importance degree of uncertainty
Direct costs 1 1
Welfare loss 3 3
Production loss 0 2

10.2.2 Assessment of low and high values

The low and high values are developed by setting up high and low values of each of the most important and uncertain parameters, relatively speaking and re-estimate the unit cost under combinations of these parameter values.

Headache

High and low cost estimates are derived from following assumptions:

  • Welfare loss values are equal to best estimate -/+ 50%
  • Degree of absence from work is assumed to be within the range 15% to 55%

Table 10-7: High and low unit cost estimates, headache (2002-prices)

  value, low estimate value, best estimate value, high estimate
Welfare loss DKK 89 DKK 179 DKK 268
Degree of absence 15% 35% 55%
Unit cost estimate DKK 224 DKK 364 DKK 562

Contact allergy

High and low cost estimates are derived from following assumptions:

  • Low welfare loss value assumes no additional private expenditures for lotion etc. along with best WTP estimate minus 50%. High welfare loss value assumes no changes in private expenditures along with best WTP estimate plus 50%.
  • Number of symptom days are set to 10% and 30% for low and high estimate respectively
  • Number of days of absence set to 1 and 10 for low and high estimate respectively
  • Average age of patient: Set to 50 years for estimation of low unit cost value and 30 years for high value.

Table 10-8: High and low unit cost estimates, contact allergy (2002-prices)

  value, low estimate value, best estimate value, high estimate
WTP value DKK 50 DKK 100 DKK 150
Private exp. 0 2650 2650
no. of symptom days 10% 20% 30%
Days of absence 1 1.6 10
Av. age of patient 50 years 40 years 30 years
Unit cost estimate DKK 79,798 DKK 291,288 DKK 684,203

Asthma

High and low cost estimates are derived from following assumptions:

  • Low welfare loss values according to the lowest figure found in the literature (Extern E). High value set to + 50% of best estimate

Table 10-9: High and low unit cost estimates, Asthma (2002-prices)

  value, low estimate value, best estimate value, high estimate
Welfare loss DKK 156 DKK 1,186 DKK 1,778
Unit cost estimate DKK 963 DKK 1993 DKK 2586

Lung cancer

High and low cost estimates are derived from following assumptions:

  • Welfare loss value for non-fatal lung cancer is set to 50% of estimate value of statistical life
  • Value of a statistical life is set to DKK 1 m. and 10 m. as low and high value respectively partially based on values of a statistical life presented in DEPA (2003)

Table 10-10: High and low unit cost estimates, lung cancer (2002-prices)

  value, low estimate value, best estimate value, high estimate
Welfare loss, NFC DKK 750,000 DKK 4,820,000 DKK 6,000,000
Value of a statistical life DKK 1,500,000 DKK 9,640,000 DKK 12,000,000
Unit cost estimate DKK 1,842,235 DKK 9,683,411 DKK 11,956,774

Skin cancer

High and low cost estimates are derived from following assumptions:

  • Being very uncertain, the interval of the individual welfare loss is set to DKK 10,000 - DKK 500,000.

Table 10-11: High and low unit cost estimates, skin cancer (2002-prices)

  value, low estimate value, best estimate value, high estimate
Welfare loss DKK 10,000 DKK 230,629 DKK 500,000
Unit cost estimate DKK 28,796 DKK 249,424 DKK 518,796

10.3 Concluding remarks

The present study has provided unit cost estimates for selected chemical-related diseases. Even though the estimates include all elements of the economic costs seen from the society's point of view, estimation of the direct costs has been in focus. Since indirect costs, however, are of major importance relatively, there may be a need for further development of these estimates in a future study.

The major critical element, thus, seems to be the individual welfare loss values, here provided by benefit transfer. Since these values are of major importance for the total unit cost estimates it would be preferable to improve these values. Although it may be possible to improve the benefit transfer by broader literature search combined with real world testing of some degree, the rather large step of conducting new and improved WTP surveys seems to be substantial for improvement of the individual welfare loss estimates.

 



Version 1.0 June 2004, © Danish Environmental Protection Agency