Correction to: Characterizing antibiotics in LCA—a review of current practices and proposed novel approaches for including resistance

1 Correction to: The International Journal of Life Cycle Assessment https://doi.org/10.1007/s11367-021-01908-y

The online version of the original article can be found at https://doi.org/10.1007/s11367-021-01908-y

The original version of this article unfortunately contained mistakes in Eqs. 1–8

and should have read:

$$\begin{aligned}Characterization\;factor&=Fate\;factor\left(\frac{{\mathrm k\mathrm g\;}_{in\;compartment}}{\frac{{\mathrm k\mathrm g\;}_{emitted}}{\mathrm d\mathrm a\mathrm y}}\right)\\ &\times Exposure\;factor\left(\frac{\frac{{\mathrm k\mathrm g\;}_{intake}}{\mathrm d\mathrm a\mathrm y}}{{\mathrm k\mathrm g\;}_{in\;compartment}}\right)\\ &\times Effect\;factor\left(\frac{\mathrm d\mathrm i\mathrm s\mathrm e\mathrm a\mathrm s\mathrm e\;\mathrm c\mathrm a\mathrm s\mathrm e\mathrm s}{{\mathrm k\mathrm g}_{\;emitted}}\right)\end{aligned}$$

(1)

$${EF}_{ABR}=\frac{0.5}{{HC}_{50}}$$

(2)

$$\begin{aligned}{CF}_{ABR}&=Fate\;factor\left(\frac{{\mathrm k\mathrm g\;}_{in\;compartment}}{\frac{{\mathrm k\mathrm g\;}_{emitted}}{\mathrm d\mathrm a\mathrm y}}\right)\\ &\times Exposure\;factor\left(\frac{{\mathrm k\mathrm g\;}_{bioavailable}}{{\mathrm k\mathrm g\;}_{in\;compartment}}\right)\\ &\times Effect\;factor\left(\frac{PAF\;m^3\;\mathrm d\mathrm a\mathrm y}{{\mathrm k\mathrm g}\;_{emitted}}\right)\end{aligned}$$

(3)

$${\partial }_{x,p,sector,reg}=\sqrt{{ln}^{{OR}_{x,p,sector,reg}}}$$

(4)

$${ABF}_{x,p,reg}={ABU}_{x,hum,reg}\times {\partial }_{x,p,hum,reg}+{ABU}_{x,vet,reg}\times {\partial }_{x,p,vet,reg}$$

(5)

$$\frac{DALY}{kg{{AB}_{x}}_{emitted}}=\frac{{DALY}_{x,{p}_{1},reg}}{{ABF}_{x,{p}_{1},reg}}+\frac{{DALY}_{x,{p}_{2},reg}}{{ABF}_{x,{p}_{2},reg}}+\dots +\frac{{DALY}_{x,{p}_{n},reg}}{{ABF}_{x,{p}_{n},reg}}$$

(6)

$$\frac{DALY}{kg{{AB}_{x}}_{emitted}}=\frac{{DALY}_{x,p,reg}}{{ABU}_{x,hum,reg}\times \sqrt{{ln}^{{OR}_{x,p,hum,reg}}}+{ABU}_{x,vet,reg}\times \sqrt{{ln}^{{OR}_{x,p,vet,reg}}}}$$

(7)

$$\frac{0.87\;DALY}{kg{3GC}_{emitted}}=\frac{191883\;DALY}{2.7\cdot10^5kg\times0,81406+1.39\cdot10^4kg\times0}$$

(8)