SLIDE 11 Climate effect: we develop for each 1.9°×2.5° cell a constrained
multiple linear regression model, using 1961-2010 crop yield and meteorological data from FAO and NCEP/NCAR
GDD = growing degree days (GDD > 0) KDD = killing degree days (KDD < 0) *GDD and *KDD are the “true” effects after adjusting for confounding
factors (e.g., ozone also increases with T)
Statistical Parameterization of Climate and Pollution Effects
Ozone effect: we use relative yield (RY) as function of various ozone
exposure metrics found from literature
RY = 1 – a AOT40 RY = exp[-(M12/a)b]/exp[-(20/a)b] RY = exp[-(SUM06/a)b] RY = exp[-(W126/a)b]
γpollution = RY
2050
RY
2000
lnY − lnY5yma = β0 + βGDD GDD−GDD5yma
( ) + βKDD KDD− KDD5yma ( )
γclimate = exp βGDD
∗
∆GDD+ βKDD
∗
∆KDD
( )