3. Yij
θAlgae σjMeans SDθFish
Sensitivity differences among
taxonomic groups Normal distributions
Log(NOEC)
Parameters were estimated
by MCMC simulations
θInvertebrate
Hayashi & Kashiwagi (2009)
Hayashi & Kashiwagi (2010)
Monte Carlo Analysis
EPAF = F
µECD - µSSD
sECD
2
+ sSSD
2
æ
è
ç
ç
ö
ø
÷
÷
µECD µSSDsECD sSSD
Calculation of predictive
distribution of EPAF
Posterior distributions of ECD
parameters
Posterior distributions of SSD
parameters
Results: Quantitative Risk Comparison
Median and 90% range of EPAF
log10(EPAF)
Large Risk→←Small Risk
Chemicals
Ammonia
Copper
Nickel
Zinc
Hayashi and Kashiwagi (2011)
3
12. IPCC, 2013: Summary for Policymakers. In: Climate Change 2013: The Physical Science
Basis. Contribution of Working Group I to the Fifth Assessment Report of the
Intergovernmental Panel on Climate Change 12
13. Yij
θAlgae σjMeans SDθFish
Sensitivity differences among
taxonomic groups Normal distributions
Log(NOEC)
Parameters were estimated
by MCMC simulations
θInvertebrate
Hayashi & Kashiwagi (2009)
Hayashi & Kashiwagi (2010)
Monte Carlo Analysis
EPAF = F
µECD - µSSD
sECD
2
+ sSSD
2
æ
è
ç
ç
ö
ø
÷
÷
µECD µSSDsECD sSSD
Calculation of predictive
distribution of EPAF
Posterior distributions of ECD
parameters
Posterior distributions of SSD
parameters
Results: Quantitative Risk Comparison
Median and 90% range of EPAF
log10(EPAF)
Large Risk→←Small Risk
Chemicals
Ammonia
Copper
Nickel
Zinc
Hayashi and Kashiwagi (2011)
13