Fig. 2

The inter-patch movement probabilities of M. nausithous (males (a, b); females (c, d)) and M. teleius (males (e, f); females (g, h)) in relation to inter-patch distances measured in a straight line (Euclidean distance) or along valleys (Valley distance). Note the logarithmic scale used, with zero values presented at 0.001. Empty dots depict the estimates for 2010, whereas solid dots show the 2014 estimates. The lines represent best-fit negative exponential functions (NEFs; broken line = 2010; solid line = 2014), accompanied with their proportions of variance explained (R²). Full details of the NEF fitting are given in Additional file 3