## Supplemental Material for Jain, 2019

All details included in supplemental.tex

**
**
Figure S1: Fixation probability for *N* = 6 × 10^{5} when the beneficial effect* s _{b}* is varied. The other parameters are

*s*= 0.01 (top) and 0.002 (bottom) with

_{d}*u*= 5

_{d}*s*,

_{d}*U*=

_{d}*u*. The data from stochastic simulations (•) with errorbars representing the standard deviation, and by numerically calculating (1) (◦) and (5) (△) are shown.

_{d}Figure S2: Fixation probability for *N* = 6 × 10^{5} when the beneficial effect* s _{b}* is varied. The other parameters are

*s*= 0.01,

_{d}*u*= 5

_{d}*s*,

_{d}*U*= 2

_{d}*u*(top) and

_{d}*s*= 0.002,

_{d}*u*= 5

_{d}*s*,

_{d}*U*= 5

_{d}*u*

_{d }(bottom). The data from stochastic simulations (•) with errorbars representing the standard deviation, and by numerically calculating (1) (◦) and (5) (△) are shown.

Figure S3: Expected substitution rate *E*[*k _{b}*] and average fixed selection co-efficient

*E*[

*s*] for

_{b}*N*= 2 × 10

^{5}when the average beneficial effect

*s*¯

_{b}is varied. The other parameters are

*s*= 0.01,

_{d}*u*= 5

_{d}*s*,

_{d}*u*= 5 × 10

_{b}^{−7}. The data from numerical simulations (•) and numerical integration of (12) and (17) using quadratic approximation (5) (⊕) and analytical expression (9) (◦) are shown.