Difference between revisions of "Assessment of building policies' effect on dampness and asthma in Europe"
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− | |question = Dampness in homes is a major environmental health hazard causing asthma and allergic or respiratory symptoms. Good building policies can reduce dampness in homes. What are the effects of different plausible building policies on dampness in homes and consequently on asthma prevalence in Europe between 2010 and 2050? | + | |question = Dampness and mould in homes is a major environmental health hazard causing asthma and allergic or respiratory symptoms. Good building policies can reduce dampness in homes. What are the effects of different plausible building policies on dampness in homes and consequently on asthma prevalence in Europe between 2010 and 2050? |
|answer = There are currently 1.7 million (95 % CI 0.8 - 2.9 million) cases of asthma due to indoor dampness in Europe. This number is likely to increase in the future due to decreased ventilation in aim to reduce energy consumption, if other measures are not taken. It is important to maintain good air exchange and humidity conditions even when energy saving measures are taken.}} | |answer = There are currently 1.7 million (95 % CI 0.8 - 2.9 million) cases of asthma due to indoor dampness in Europe. This number is likely to increase in the future due to decreased ventilation in aim to reduce energy consumption, if other measures are not taken. It is important to maintain good air exchange and humidity conditions even when energy saving measures are taken.}} | ||
==Scope== | ==Scope== | ||
− | In this study, the research question was the following: What are the effects of different building policies on dampness and asthma prevalence in Europe? We looked specifically at years 2010, 2020, 2030, and 2050 in the European Union. The study was performed as an [[open assessment]] in the internet as a part of the so called Common Case Study of INTARESE and HEIMTSA projects. | + | In this study, the research question was the following: What are the effects of different building policies on dampness and mould in residential buildings, and consequently on asthma prevalence in Europe? The building policies considered aim at reducing greenhouse gas emissions and thus mitigate climate change. We looked specifically at years 2010, 2020, 2030, and 2050 in the European Union. The study was performed as an [[open assessment]] in the internet as a part of the so called Common Case Study of INTARESE and HEIMTSA projects. A technical objective was to test feasibility of web workspace and on-line modelling tools developed in the projects. |
− | ===Boundaries | + | ===Boundaries=== |
− | '''Boundaries, scenarios, intended users, and participants''' are the same as in the [[Mega case study|Common Case Study]]. In brief, the situation is assessed in EU-30 (the current 27 EU member states plus Norway, Iceland, and Switzerland) for the next forty years. Four scenarios are considered: 1) '''BAU''': business as usual contains the implementation of already made decisions but no further actions; 2) '''ALL''': all such policies are implemented that are required to reduce the total greenhouse gas emissions by 70 % by 2050; 3) '''INSULATION''': only building insulation policies from ALL are implemented (ALL also contains policies to increase biomass use, but these are not implemented here); 4) '''RENOVATION''': same as ALL except that ventilation is not improved in 50 % of those buildings that are insulated up to tighter standards. | + | '''Boundaries, scenarios, intended users, and participants''' are the same as in the [[Mega case study|Common Case Study]]. In brief, the situation is assessed in EU-30 (the current 27 EU member states plus Norway, Iceland, and Switzerland) for the next forty years. Four scenarios are considered: 1) '''BAU''': business as usual contains the implementation of already made decisions but no further actions; 2) '''ALL''': all such policies are implemented that are required to reduce the total greenhouse gas emissions by 70 % by 2050; 3) '''INSULATION''': only building insulation policies from ALL are implemented (ALL also contains policies to increase biomass use, but these are not implemented here); 4) '''RENOVATION''': same as ALL except that ventilation is not improved in 50 % of those buildings that are insulated up to tighter standards (in other scenarios, insulation is always combined with improved ventilation). |
==Rationale== | ==Rationale== | ||
[[image:HIA of dampness in Europe.png|thumb|400 px|A causal diagram of health effects of dampness in Europe.]] | [[image:HIA of dampness in Europe.png|thumb|400 px|A causal diagram of health effects of dampness in Europe.]] | ||
− | The assessment is based on a causal model presented in the figure. | + | The assessment is based on a causal model presented in the figure. Each node in the graph (also called a variable in the model) are described in more detail elsewhere; only a summary of the model is presented here. |
− | ; | + | [[Building policies in Europe|European building policies]] described above are considered. The aim of the policies is to mitigate climate change by reducing greenhouse gas emissions from heating and cooling of buildings. In this sub-assessment, we do not consider greenhouse gas emissions or climate impacts, but only health impacts occurring as collateral damages or benefits. The purpose of the assessment is to estimate the impacts of each building policy and identify those policies that produce the best health outcomes. |
− | + | ||
+ | [[Asthma prevalence due to building dampness in Europe|Asthma prevalence]] (number of asthma cases) attributable to indoor problems due to residential mould or dampness was chosen as the outcome of interest for two reasons. First, there are plausible information about the causal association between dampness and asthma; second, asthma is a fairly common and severe disease, and therefore it is likely that focusing on this single endpoint can produce a reasonable estimate about the total magnitude of the problem. | ||
+ | |||
+ | The logic of the assessment is that the climate change mitigation policies considered affect [[:heande:HI:Air exchange rate for European residences|air exchange rates in buildings]]. It is expected that [[:heande:Moisture damage|moisture problems]] become more likely if the air exchange decreases. Nation-wide dampness estimates were obtained from several studies reviewed in this sub-assessment (http://heande.opasnet.org/wiki/Moisture_damage). However, several countries (Luxembourg, Netherlands, Switzerland, Ireland, Norway, United Kingdom, Bulgaria, Hungary, Lithuania, Romania, Slovakia, Slovenia, Malta) were rejected due to lack of data. | ||
+ | |||
+ | The current scientific epidemiological literature contains plausible exposure-response functions for the [[ERF of indoor dampness on respiratory health effects|association of moisture problems and asthma]]. In this assessment, number of current asthma cases (i.e., prevalence) is used as the outcome indicator. Exposure-response function is 1.56 (OR) for current asthma risk (prevalence) due to existing dampness problem (Fisk et al., 2007). Linear no-threshold ERF was assumed for the whole population in each country. | ||
+ | |||
+ | The prevalence of dampness-induced asthma depends also on the [[Asthma prevalence|background prevalence of asthma]] and the [[Population of Europe by Country|population size]]. Asthma and population size differ by country and the population also changes in time. However, the determinants of asthma are not known well enough to predict time trends into the future and so the asthma background is assumed constant in time in this assessment. | ||
+ | |||
+ | Finally, the asthma prevalence under each policy scenario are compared and optimum scenario found. It should be noted, however, that this sub-assessment only has a very narrow view on all impacts of the policies and therefore it cannot be used as an ultimate guidance for policy selection. Instead, this sub-assessment gives important information for the [[Mega Case Study|Common Case Study]] as a whole, which may produce such overall conclusions. | ||
+ | |||
+ | For overall conclusions, it is crucial that the impacts observed in a sub-assessment can be compared with other impacts observed in other sub-assessment. To this aim, we expressed the outcome using two alternative summary indicators: disability-adjusted life years (DALY) and euros (€). DALYs are computed by multiplying the number of cases of a disease with a respective [[Disability weights|disability or severity weight]] and the duration of the disease. The idea is to measure the overall healthy years that are lost due to several diseases. The disability weight (estimated by WHO) for a treated asthma case is 0.056. | ||
− | + | The costs of diseases include direct costs of treatment, indirect costs due to loss of productivity (absence from work), and willingness of a person to pay extra to avoid the disease. Because the monetary estimation of impacts was not the main objective in this sub-assessment, we did not go through this laborious path. Instead, we simply assumed that the DALY estimate also provides a reasonable indicator of all monetary costs of the asthma cases, and multiplied the DALY estimate with an estimate of willingness to pay to avoid a loss of one healthy life year. This has typically been in the order of 30000 - 60000 euros per saved life year. This results in a preliminary estimate of monetary impact, which can be used in comparisons in other parts of the [[Mega Case Study|Common Case Study]] and the value of information analysis (see below). | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | + | A methodological objective was a proof of concept for running assessment models via open internet interface. Therefore, the model development, data storage, and model runs were all performed in Opasnet using R software and Opasnet Base. The main page of the sub-assessment is http://en.opasnet.org/w/Dampness_and_asthma . | |
− | |||
===Analyses=== | ===Analyses=== | ||
− | + | Two analyses were performed in the sub-assessment. First, the main analysis was the optimisation of the health impact across different policy options as described before. Second, a value of information analysis was performed based on the monetary impact estimates. | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
+ | [[Value of information]] is a statistical method that estimates the largest sum of money a decision maker should be willing to pay to be able to reduce uncertainty in the decision before actually making the decision. The analysis is based on the idea that even if one of the options looked the best based on the expected value of impact, it is possible that, due to uncertainties described in the decision model, in some cases some other option could actually be the best. The decision maker would be better off, if she could do more research, reduce the uncertainty and actually find out whether the alternative indeed turns out to be better. The beauty of [[value of information analysis]] is that it can be performed before the decision, but more importantly, before any further research is done. If the value of information analysis shows low value, the decision maker can decide now with only a low probability of regret afterwards. On the other hand, if it shows high value, the decision-maker would be better off if she postponed the actual decision and put effort in further research and analysis (assuming that such work is feasible). | ||
− | + | ==Result== | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | == | + | ===Results=== |
[[Asthma prevalence due to building dampness in Europe]]: {{#opasnet_base_link:Op_en4723}} | [[Asthma prevalence due to building dampness in Europe]]: {{#opasnet_base_link:Op_en4723}} | ||
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|} | |} | ||
+ | ===Conclusions=== | ||
+ | |||
+ | There are currently 1.7 million (95 % CI 0.8 - 2.9 million) cases of asthma due to indoor dampness in Europe. This number is likely to increase in the future due to decreased ventilation in aim to reduce energy consumption, if other measures are not taken. It is important to maintain good air exchange and humidity conditions even when energy saving measures are taken. | ||
==R code for detailed analysis== | ==R code for detailed analysis== | ||
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plot5 | plot5 | ||
##### Expected Value of Partial Perfect Information ##### | ##### Expected Value of Partial Perfect Information ##### | ||
− | #Same as that of perfect information, because of only one decision variable | + | #Same as that of perfect information, because of only one decision variable |
+ | #and one intermediate variable that could make a difference. | ||
ae <- op_baseGetData("opasnet_base", "Erac2499") | ae <- op_baseGetData("opasnet_base", "Erac2499") | ||
aer <- DataframeToArray(ae) | aer <- DataframeToArray(ae) | ||
Line 252: | Line 249: | ||
==See also== | ==See also== | ||
+ | |||
+ | The parts of the sub-assessment model about dampness and asthma. | ||
+ | ;Decision variables | ||
+ | *[[Building policies in Europe]] | ||
+ | |||
+ | ;Other variables | ||
+ | *[[Population of Europe by Country]] | ||
+ | *[[Asthma prevalence]] | ||
+ | *[[:heande:HI:Air exchange rate for European residences]] | ||
+ | *[[:heande:Moisture damage]] | ||
+ | *[[ERF of indoor dampness on respiratory health effects]] | ||
+ | *[[Disability weights]] | ||
+ | |||
+ | ;Indicators | ||
+ | *[[Asthma prevalence due to building dampness in Europe]] | ||
+ | |||
+ | You can also click the nodes on the graph to go to pages with more detailed description about that topic. | ||
<imagemap> | <imagemap> |
Revision as of 09:18, 12 February 2011
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Question:
Dampness and mould in homes is a major environmental health hazard causing asthma and allergic or respiratory symptoms. Good building policies can reduce dampness in homes. What are the effects of different plausible building policies on dampness in homes and consequently on asthma prevalence in Europe between 2010 and 2050? There are currently 1.7 million (95 % CI 0.8 - 2.9 million) cases of asthma due to indoor dampness in Europe. This number is likely to increase in the future due to decreased ventilation in aim to reduce energy consumption, if other measures are not taken. It is important to maintain good air exchange and humidity conditions even when energy saving measures are taken. |
Contents
Scope
In this study, the research question was the following: What are the effects of different building policies on dampness and mould in residential buildings, and consequently on asthma prevalence in Europe? The building policies considered aim at reducing greenhouse gas emissions and thus mitigate climate change. We looked specifically at years 2010, 2020, 2030, and 2050 in the European Union. The study was performed as an open assessment in the internet as a part of the so called Common Case Study of INTARESE and HEIMTSA projects. A technical objective was to test feasibility of web workspace and on-line modelling tools developed in the projects.
Boundaries
Boundaries, scenarios, intended users, and participants are the same as in the Common Case Study. In brief, the situation is assessed in EU-30 (the current 27 EU member states plus Norway, Iceland, and Switzerland) for the next forty years. Four scenarios are considered: 1) BAU: business as usual contains the implementation of already made decisions but no further actions; 2) ALL: all such policies are implemented that are required to reduce the total greenhouse gas emissions by 70 % by 2050; 3) INSULATION: only building insulation policies from ALL are implemented (ALL also contains policies to increase biomass use, but these are not implemented here); 4) RENOVATION: same as ALL except that ventilation is not improved in 50 % of those buildings that are insulated up to tighter standards (in other scenarios, insulation is always combined with improved ventilation).
Rationale
The assessment is based on a causal model presented in the figure. Each node in the graph (also called a variable in the model) are described in more detail elsewhere; only a summary of the model is presented here.
European building policies described above are considered. The aim of the policies is to mitigate climate change by reducing greenhouse gas emissions from heating and cooling of buildings. In this sub-assessment, we do not consider greenhouse gas emissions or climate impacts, but only health impacts occurring as collateral damages or benefits. The purpose of the assessment is to estimate the impacts of each building policy and identify those policies that produce the best health outcomes.
Asthma prevalence (number of asthma cases) attributable to indoor problems due to residential mould or dampness was chosen as the outcome of interest for two reasons. First, there are plausible information about the causal association between dampness and asthma; second, asthma is a fairly common and severe disease, and therefore it is likely that focusing on this single endpoint can produce a reasonable estimate about the total magnitude of the problem.
The logic of the assessment is that the climate change mitigation policies considered affect air exchange rates in buildings. It is expected that moisture problems become more likely if the air exchange decreases. Nation-wide dampness estimates were obtained from several studies reviewed in this sub-assessment (http://heande.opasnet.org/wiki/Moisture_damage). However, several countries (Luxembourg, Netherlands, Switzerland, Ireland, Norway, United Kingdom, Bulgaria, Hungary, Lithuania, Romania, Slovakia, Slovenia, Malta) were rejected due to lack of data.
The current scientific epidemiological literature contains plausible exposure-response functions for the association of moisture problems and asthma. In this assessment, number of current asthma cases (i.e., prevalence) is used as the outcome indicator. Exposure-response function is 1.56 (OR) for current asthma risk (prevalence) due to existing dampness problem (Fisk et al., 2007). Linear no-threshold ERF was assumed for the whole population in each country.
The prevalence of dampness-induced asthma depends also on the background prevalence of asthma and the population size. Asthma and population size differ by country and the population also changes in time. However, the determinants of asthma are not known well enough to predict time trends into the future and so the asthma background is assumed constant in time in this assessment.
Finally, the asthma prevalence under each policy scenario are compared and optimum scenario found. It should be noted, however, that this sub-assessment only has a very narrow view on all impacts of the policies and therefore it cannot be used as an ultimate guidance for policy selection. Instead, this sub-assessment gives important information for the Common Case Study as a whole, which may produce such overall conclusions.
For overall conclusions, it is crucial that the impacts observed in a sub-assessment can be compared with other impacts observed in other sub-assessment. To this aim, we expressed the outcome using two alternative summary indicators: disability-adjusted life years (DALY) and euros (€). DALYs are computed by multiplying the number of cases of a disease with a respective disability or severity weight and the duration of the disease. The idea is to measure the overall healthy years that are lost due to several diseases. The disability weight (estimated by WHO) for a treated asthma case is 0.056.
The costs of diseases include direct costs of treatment, indirect costs due to loss of productivity (absence from work), and willingness of a person to pay extra to avoid the disease. Because the monetary estimation of impacts was not the main objective in this sub-assessment, we did not go through this laborious path. Instead, we simply assumed that the DALY estimate also provides a reasonable indicator of all monetary costs of the asthma cases, and multiplied the DALY estimate with an estimate of willingness to pay to avoid a loss of one healthy life year. This has typically been in the order of 30000 - 60000 euros per saved life year. This results in a preliminary estimate of monetary impact, which can be used in comparisons in other parts of the Common Case Study and the value of information analysis (see below).
A methodological objective was a proof of concept for running assessment models via open internet interface. Therefore, the model development, data storage, and model runs were all performed in Opasnet using R software and Opasnet Base. The main page of the sub-assessment is http://en.opasnet.org/w/Dampness_and_asthma .
Analyses
Two analyses were performed in the sub-assessment. First, the main analysis was the optimisation of the health impact across different policy options as described before. Second, a value of information analysis was performed based on the monetary impact estimates.
Value of information is a statistical method that estimates the largest sum of money a decision maker should be willing to pay to be able to reduce uncertainty in the decision before actually making the decision. The analysis is based on the idea that even if one of the options looked the best based on the expected value of impact, it is possible that, due to uncertainties described in the decision model, in some cases some other option could actually be the best. The decision maker would be better off, if she could do more research, reduce the uncertainty and actually find out whether the alternative indeed turns out to be better. The beauty of value of information analysis is that it can be performed before the decision, but more importantly, before any further research is done. If the value of information analysis shows low value, the decision maker can decide now with only a low probability of regret afterwards. On the other hand, if it shows high value, the decision-maker would be better off if she postponed the actual decision and put effort in further research and analysis (assuming that such work is feasible).
Result
Results
Asthma prevalence due to building dampness in Europe: Show results
- Results for the Biomass scenario are wrong and the scenario is perhaps irrelevant because biomass usage does not affect air exchange rates, which this assessment is concerned with, so it should be ignored.
Year | ||||
---|---|---|---|---|
Policy | 2010 | 2020 | 2030 | 2050 |
BAU | 1715846 (794208-2918407) | 2069089 (929518-3645690) | 2300513 (1007103-4193891) | 2417413 (1016202-4559645) |
All | NA | 2071501 (940391-3650210) | 2634778 (1139578-4745158) | 3009693 (1251020-5519308) |
Insulation | NA | NA | NA | 3002498 (1239186-5524389) |
Renovation | NA | NA | NA | 3416010 (1443227-6233562) |
Year | ||||
---|---|---|---|---|
Policy | 2010 | 2020 | 2030 | 2050 |
BAU | 101235 (46858-172186) | 122076 (54842-215096) | 135730 (59419-247440) | 142627 (59956-269019) |
All | NA | 122219 (55483-215362) | 155452 (67235-279964) | 177572 (73810-325639) |
Insulation | NA | NA | NA | 177147 (73112-325939) |
Renovation | NA | NA | NA | 201545 (85150-367780) |
Year | ||||
---|---|---|---|---|
Policy | 2010 | 2020 | 2030 | 2050 |
BAU | 4552 (2065-7861) | 5478 (2464-9800) | 6105 (2617-11307) | 6404 (2622-12279) |
All | NA | 5491 (2434-9869) | 7012 (2981-13005) | 7989 (3285-14872) |
Insulation | NA | NA | NA | 7995 (3244-15283) |
Renovation | NA | NA | NA | 9059 (3827-16881) |
Country of observation | Mean | SD |
---|---|---|
Austria | 23958 | 19818 |
Belgium | 46983 | 24769 |
Cyprus | 3010 | 706 |
Czech Republic | 65640 | 31215 |
Denmark | 9088 | 6502 |
Estonia | 8188 | 2735 |
Finland | 10881 | 17198 |
France | 303354 | 161230 |
Germany | 379346 | 221077 |
Greece | 20517 | 7842 |
Italy | 279127 | 99106 |
Latvia | 11991 | 3158 |
Poland | 270064 | 49342 |
Portugal | 48477 | 18082 |
Spain | 226670 | 93709 |
Sweden | 20039 | 24323 |
Total | 1715846 |
Conclusions
There are currently 1.7 million (95 % CI 0.8 - 2.9 million) cases of asthma due to indoor dampness in Europe. This number is likely to increase in the future due to decreased ventilation in aim to reduce energy consumption, if other measures are not taken. It is important to maintain good air exchange and humidity conditions even when energy saving measures are taken.
R code for detailed analysis
- This code features R functions described on Opasnet Base Connection for R and Operating intelligently with multidimensional arrays in R.
library(ggplot2) asthma <- op_baseGetData("opasnet_base", "Op_en4723", exclude = 48823) array <- DataframeToArray(asthma) array <- array[,,,c(2,1,3,4),,] ##### Cases ##### means <- apply(array, c(2,3,4), mean, na.rm=TRUE) means <- apply(means, c(2,3), sum, na.rm=TRUE) plot1 <- as.data.frame(as.table(means)) plot1 <- ggplot(plot1[plot1[,"Freq"]!=0,], aes(Year, weight=Freq, fill=policy)) + geom_bar(position="dodge") + scale_x_discrete("Year") + scale_y_continuous("Cases") plot1 ci <- apply(apply(array, c(1,3,4), sum, na.rm=TRUE), c(2,3), quantile, probs=c(0.025,0.975)) final1 <- means final1[,] <- paste(round(means), " (", round(ci[1,,]), "-", round(ci[2,,]), ")", sep="") final1[c(2:4,7:8,11:12)] <- NA final1 ##### DALYs ##### DALY <- array*0.059 means <- apply(DALY, c(2,3,4), mean, na.rm=TRUE) means <- apply(means, c(2,3), sum, na.rm=TRUE) plot2 <- as.data.frame(as.table(means)) plot2 <- ggplot(plot2[plot2[,"Freq"]!=0,], aes(Year, weight=Freq, fill=policy)) + geom_bar(position="dodge") + scale_x_discrete("Year") + scale_y_continuous("DALYs") plot2 ci <- apply(apply(DALY, c(1,3,4), sum, na.rm=TRUE), c(2,3), quantile, probs=c(0.025,0.975)) final2 <- means final2[,] <- paste(round(means), " (", round(ci[1,,]), "-", round(ci[2,,]), ")", sep="") final2[c(2:4,7:8,11:12)] <- NA final2 ##### Cost ##### mpdaly <- op_baseGetData("opasnet_base", "Op_en4858") cost <- IntArray(mpdaly, DALY, "DALYs") cost <- data.frame(cost[,c("obs","Country","policy","Year")], Result=cost[,"Result"]*cost[,"DALYs"]) cost <- DataframeToArray(cost) cost <- cost[,,c(2,1,3,4),] means <- apply(cost, c(2,3,4), mean, na.rm=TRUE) means <- apply(means, c(2,3), sum, na.rm=TRUE)/10^6 plot3 <- as.data.frame(as.table(means)) plot3 <- ggplot(plot3[plot3[,"Freq"]!=0,], aes(Year, weight=Freq, fill=policy)) + geom_bar(position="dodge") + scale_x_discrete("Year") + scale_y_continuous("Cost (M€)") plot3 ci <- apply(apply(cost, c(1,3,4), sum, na.rm=TRUE), c(2,3), quantile, probs=c(0.025,0.975))/10^6 final3 <- means final3[,] <- paste(round(means), " (", round(ci[1,,]), "-", round(ci[2,,]), ")", sep="") final3[c(2:4,7:8,11:12)] <- NA final3 ##### Probability density plot ##### costdf <- as.data.frame(as.table(apply(cost, c(1,3,4), sum)/1e9)) costdf <- costdf[is.na(costdf[,"Freq"])==FALSE,] plot4 <- ggplot(costdf, aes(x=Freq, y=..density.., fill=policy)) + geom_density(alpha=0.2, adjust=4) + scale_x_continuous(expression("Cost ("*10^9*"€)")) + scale_y_continuous("Density") + facet_wrap(~Year) plot4 ##### Expected Value of Perfect Information ##### evpi <- (apply(apply(cost, c(2,3,4), mean, na.rm=TRUE), c(1,3), min, na.rm=TRUE) - apply(apply(cost, c(1,2,4), min, na.rm=TRUE), c(2,3), mean, na.rm=TRUE))/1e6 plot5 <- as.data.frame(as.table(apply(evpi, 2, sum))) plot5 <- ggplot(plot5, aes(Var1, weight=Freq)) + geom_bar(position="dodge") + scale_x_discrete("Year") + scale_y_continuous("Value of perfect information (M€)") plot5 ##### Expected Value of Partial Perfect Information ##### #Same as that of perfect information, because of only one decision variable #and one intermediate variable that could make a difference. ae <- op_baseGetData("opasnet_base", "Erac2499") aer <- DataframeToArray(ae) aer <- aer[,,c(2,1,4,5),] dropnonmax <- function(x) { x[x<max(x, na.rm = TRUE)] <- NA return(x) } aer <- apply(aer, c(1,2,4), dropnonmax) aer <- as.data.frame(as.table(aer)) aer <- aer[,c(2,3,1,4,5)] colnames(aer)[3] <- "policy" aer <- aer[is.na(aer[,"Freq"])==FALSE,] aer <- IntArray(aer, cost, "Cost") aer <- DataframeToArray(aer[,c("obs","Country","Year","Cost")],"Cost") test2 <- (apply(apply(cost, c(2,3,4), mean, na.rm=TRUE), c(1,3), min, na.rm=TRUE) - apply(aer, c(2,3), mean))/1e6 plot6 <- as.data.frame(as.table(apply(test2, 2, sum))) plot6 <- ggplot(plot6, aes(Var1, weight=Freq)) + geom_bar(position="dodge") + scale_x_discrete("Year") + scale_y_continuous("Value of perfect information (M€)") plot6 test2==evpi #test whether the values are the same
See also
The parts of the sub-assessment model about dampness and asthma.
- Decision variables
- Other variables
- Population of Europe by Country
- Asthma prevalence
- heande:HI:Air exchange rate for European residences
- heande:Moisture damage
- ERF of indoor dampness on respiratory health effects
- Disability weights
- Indicators
You can also click the nodes on the graph to go to pages with more detailed description about that topic.
Error: Image is invalid or non-existent.
Keywords
Dampness, indoor air, asthma, Europe
References
Related files
<mfanonymousfilelist></mfanonymousfilelist>