1 Supporting Information 2 Appendix S1. Wind tunnel description and methodological issues 3 We used a newly built wind tunnel at Stockholm University (Fig. S1). Wind was created by a 4 radial fan connected to the wind tunnel. To avoid vibrations caused by the fan motor, the fan and 5 the tunnel itself were placed on two separate tables (without direct contact), and the connection 6 between the fan and the tunnel was flexible. To reduce the background levels of particles in the 7 tunnel we filtered the inflowing air to the fan using NSB/290 (class G4) filters (Camfil, Trosa, 8 Sweden). However, when increasing the filtering capacity the maximum possible wind speed 9 decreased. To reach wind speeds of 4.3 m/s we could therefore not completely remove the 10 background level of particles (Fig. 1). Therefore, the method may be less suitable for species 11 with few spores, as the spores released from such species may be difficult to separate from the 12 background level of particles. We attached the sporophyte and started the experiments at 0.8 m/s 13 (instead of 0 m/s) for two reasons. First, starting the fan created an initial wind gust that was 14 somewhat higher than the desired wind speed, which potentially could affect spore release. 15 Second, the initial background level of particles caused by spore release during attachment of the 16 studied capsule in the tunnel was reduced more quickly when starting the experiment at a low 17 wind speed. To create a laminar air flow through the experimental chamber in the tunnel, the air 18 went through a package of thin pipes (plastic straws), ’airflow straighteners’, covering the whole 19 opening (Fig. S1). In experiments with turbulence we added a frame (Fig. S1) with horizontal 20 threaded rods across the tunnel (experiments with laminar air flow were performed with an 21 empty frame). 1 22 23 Fig. S1. The wind tunnel with (a) a transparent window, (b) an isokinetic probe (inflow diameter 24 70 mm) attached to a (c) particle counter for detecting spore release, (d) a hotwire anemometer 25 for measuring wind speed, (e) a sporophyte attached to (f) a crocodile clamp, (g) a frame with 26 five horizontal rods across the tunnel for creating turbulence, (h) a package of pipes (5 mm in 27 diameter) for creating laminar wind flow, (i) an outflow of the fan that is connected to the tunnel, 28 (j) a radial fan, and (k) filters for the inflow air. The wind tunnel was painted black inside and 29 was illuminated by a LED lamp attached to its ceiling. Scale in centimeters. 2 30 Table S1. Prior distributions (all uninformative) and final estimates of model parameters Parameter Description Prior distribution Parameter estimate: mode (95% credible interval) β1 Wind speed N(0,.001)† -1.00 (-1.44 – -0.54) β2 High turbulence N(0,.001) -0.95 (-1.37 – -0.54) β3 (Wind speed)2 N(0,.001) 0.15 (0.06 – 0.24) β4 Interaction term N(0,.001) 0.78 (0.62 – 0.92) τ1 Precision of log(particle) Ga(.001,.001)‡ 2.79 (2.26-3.38) Φ Random intercept N(0,.001) 0.99 (0.45– 1.52) τ2 Precision of intercept Ga(.001,.001) 19.0 (3.65-221.4) 31 † N(a,b) signifies a normal distribution with mean a and precision b. 32 ‡ Ga(a,b) signifies a gamma distribution with scale a and shape b. 3