1 Supporting information1 DataS1 Eqn1inHooftmanetal.2005 2 no.ofcapitula = 50·6 (no.ofbranches)+ 177 (no.ofshoots)− 5·3 3 (Regression analysis:R2= 0.51, P < 0·001, n = 315 plants)4 5 Table S1 Weather conditions in Sijbekarspel (SB) and Wageningen (WG) during the period of the6 experiment (May—October). InSijbekarspel,weusedadataloggertorecordtemperatureand7 humidity levels.Daily temperatureand rainfall in Wageningen waselectronically available from the8 Haarwegweatherstation(www.met.wau.nl) thatwas located aboutone km from the site.9 Sijbekarspel Wageningen Averagetemperature(°C ) 15.5 14.8 Relativehumidity(%) 85.2 79.5 Highestaveragemaximum dailytemperature(°C ) 27.4 27.9 Lowestaverageminimum dailytemperature(°C ) 5.0 4.3 10 Table S2 Positions of quantitative trait loci (QTL) for seeds produced per seed sown (SPSS) in a11 recombinantinbred lines population from a Lactucasativa cv.Salinas×Lactucaserriola(UC96US23) 12 crossusing composite intervalmapping. Other RIL QTL results are described in detailin Hartman et13 al.(2012).A positiveadditiveeffectindicatesthatcropgenomicbackground(L.sativa) causes higher 14 trait values, whereas a negative additive effect indicates that the wild genomic background (L.serriola) 15 causeshighervalues.QTL on the same line have peak valueswithin 5 cM.PVE = PercentageVariation 16 Explained;AbbreviationsarelistedinTable1. 17 LG Trait Position one-LOD interval Additive effect PVE LOD Position one-LOD interval Additive effect PVE LOD Sijbekarspel Wageningen 3 SPSS 40.8 40.3–41.0 –21.57 12.5 4.8 SPSS 75.5 72.7–77.5 21.93 13.5 4.3 5 SPSS 148.0 147.2–150.2 14.61 10.0 4.0 148.0 146.6–150.6 20.40 11.4 4.8 7 SPSS 18.5 18.4–21.5 –19.36 17.9 7.2 19.9 19.4–22.2 –28.02 21.3 8.3 SPSS 76.7 75.1–77.3 –29.84 16.1 6.5 18 19 20 21