SUPPLEMENTARY MATERIAL Who escapes detection? Quantifying the causes and consequences of sampling biases in a long-term field study Lindall R. Kidd, Ben C. Sheldon, Emily G. Simmonds & Ella F. Cole Appendix S1. Further method details. Mist netting for immigrants to the study site In addition to monitoring during the breeding season, throughout the winter, great tits are trapped using mist nests at a seed feeder, and immigrants to the woods are ringed and fitted with a PIT tag. Across all winters, from November to February, one 18m net was set at a fixed centrally located site within the woods on a weekly basis. In addition to this, for the duration of the study period, teams of people operated two-three nets simultaneously in close proximity to one another and moved every week to cover the entire study area. In the winter leading to the breeding season of 2009, a total of 56 days were spent catching at multiple sites per day from late August to late February. In the winter before the 2010 breeding season, mist netting procedures were similar to those used in the previous winter, a total of 56 days were spent catching at multiple sites between August and early March. In the winter leading up to the 2012 breeding season, mist netting efforts increased and were more standardised. In addition to the centrally located feeder, teams of ringers would consecutively operate threefour nets at regularly spaced intervals throughout the study site. A total of 68 days were spent ringing between multiple sites from mid-August to early March 2012. Night time roosting data Night time roost temperatures were recorded using iButton thermometers (DS1921G-F5, accurate to +/- 1ºC, HomeChip Ltd) secured within the nest cup with blunted garden wire twisted around the iButton and sealed within a small cotton pouch. These iButtons were placed in half of all great tit nests during the 2014 breeding season in (n=170) throughout the study site. Only nests in which the iButton was placed prior to clutch completion (i.e. during the egg laying stage) were used in this study (n=63). In order to determine if the female was present at night time, in-nest temperatures were compared to local ambient temperature recorded using iButtons (DS1923-F5, accurate to +/0.5ºC, HomeChip Ltd) which were distributed in evenly spaced 100m grids throughout the woodland. Data were analysed in R to determine how many of the recordings taken at night (after 8pm but before 7am the next day) were more than 5ºC above ambient temperature. If more than 50% of the recordings exceeded this threshold throughout the course of the night, we considered this evidence that the female was in the nestbox. This accounts for the fact that the female will not be actively incubating all night, whilst excluding the potential of a single anomalously high recording for reasons other than female presence. At each nest, we showed that the female was present in the box during each night of our recordings (133 nights). Table S1. Roost data for 63 great tit nests installed with ibutton temperature data loggers during the laying period in 2014. Night time presence was defined when a nest was 5ºC above ambient temperature for more than 50% of temperature recodings taken throughtout the evening (after 8pm but before 7am the next day). Nestbox Laydate Female ID Failed Before Ringed or Night time Catching Unringed Presence B122 TP42743 20 N R Y B142 TS45004 16 N R Y B190 TS43230 11 N R Y B201 D472069 23 N U Y B212 Y163003 21 N R Y B46 D472031 19 N R Y B53 TS44943 6 N R Y B79 Y836237 17 N U Y C10 NA 3 Y NA Y C108 L809323 3 N R Y C113 Y035838 5 N R Y C132 NA 8 Y NA Y C17 Y838102 6 N R Y C143 TS45597 8 N R N C54 Y164653 8 N R Y CP10 Y163161 16 N R Y CP2 TS47111 13 N R Y CP26 TS45695 25 N R Y CP28 Y163166 13 N R Y CP7 TS44206 14 N R Y EX1 TJ24698 33 N U Y EX12 Y838931 13 N R Y EX29 Y839893 14 N R Y EX31 TS47241 14 N R Y EX40 Z031001 14 N U Y EX46 Y839895 24 N R Y EX51B TS46402 15 N R Y EX61 TS47469 13 N R Y EX62G D471762 19 N R Y EX67 Y161935 13 N R Y EX74 Z032571 15 N U Y MP12 TS45689 15 N R Y MP47 D472723 8 N R Y MP65 L809606 5 N R Y MP66 TL36088 12 N R Y MP84 D472767 19 N R Y O23 D471222 15 N R Y O64 D472969 10 N R Y O70 TP27415 19 N R Y O86 TR44250 18 N R Y P11 TX42522 20 N R Y P14 D472011 14 N U Y P5 Y160609 9 N R Y SW1 TR44247 14 N R Y SW107 Y160493 7 N R Y SW134 D471706 19 N R Y SW28 Y163532 8 N R Y SW34 NA 8 Y NA Y D471563 16 N U Y SW73 NA 21 Y NA Y SW76 D472415 16 N U Y SW81 Y162433 15 N R Y SW85 TR41967 10 N R Y W10 TR44083 14 N R Y W14 TS43349 13 N R Y W19 Y160435 9 N R Y W26 Y839274 27 N R Y W31 TS43593 14 N R Y W33 Y163075 19 N R Y W38 Y838658 4 N R Y W51A X235006 7 N R Y W62 NA 11 Y NA Y W9 TS47253 10 N R Y SW61A Assessing PIT tag scanner accuracy The accuracy of the scanner was assessed by comparing the identities returned by the scanner with the identities established through trapping at the nestbox; scanner failure was inferred if no PIT tag was read, but the female was found, on subsequent trapping, to be carrying a functional PIT tag. During the 2009 and 2010 breeding seasons an older model of scanner was used; this was found to have a tag-detection success rate of 93% and 91% respectively. In 2012 we used an improved scanner, which had a success rate of 100%. Table S2. Results of ordinary bootstrap analyses assessing whether fecundity selection coefficients for laying date for female great tits 2009, 2010 and 2012 across three datasets were influenced by differing sample sizes. Datasets consisted of (a) all breeding females, including those whose breeding attempts failed early (unbiased dataset), (b) only breeding female whose ring number was known and (c) only females that were identified using the standard protocol of trapping when nestling are 8-10 days old. The errors are 97.5th percentile ranges of resampled parameter estimates. Selection coefficients in bold are significantly different from zero (p<0.05). Laying date Random 1 (n dataset b) β 97.5% CI Year N 2009 169 -0.071 -0.175-0.031 Random 2 (n dataset c) β N 97.5% CI 157 -0.058 -0.160-0.043 2010 296 0.051 -0.025-0.131 271 0.044 -0.036-0.136 2012 300 0.025 -0.078-0.146 246 0.092 -0.033-0.228 Table S3. Annual non-linear fecundity selection coefficients for laying date for female great tits 2009, 2010 and 2012. Analyses were carried out on three datasets: (a) all breeding females, including those whose breeding attempts failed early (unbiased dataset), (b) only breeding female whose ring number was known and (c) only females that were identified using the standard protocol of trapping when nestling are 8-10 days old. Selection coefficients in bold are significantly different from zero (p<0.05). (a) Laying date Year N Fecundity ( β ± SE) (b) (c) Fecundity N ( β ± SE) Fecundity N ( β ± SE) 2009 179 -0.555 ± 0.470 169 -0.586 ± 0.421 157 -0.2606 ± 0.386 2010 313 -0.131 ± 0.288 296 -0.252 ± 0.266 271 -0.213 ± 0.237 2012 318 -1.374 ± 0.321 300 -1.307 ± 0.307 246 -1.364 ± 0.257 Table S4. Annual directional recruitment selection coefficients for laying date for female great tits 2009, 2010 and 2012. Analyses were carried out on three datasets: (a) all breeding females, including those whose breeding attempts failed early, (b) only breeding female whose ring number was known and (c) only females that were identified using the standard protocol of trapping when nestling are 8-10 days old. Selection coefficients in bold are significantly different from zero (p<0.05). (a) Laying date Year N Fecundity (β± SE) N 2009 2010 2012 179 313 318 -0.294 ± 0.118 -0.005 ± 0.103 -0.037 ± 0.196 169 296 300 (b) Fecundity (β± SE) -0.300 ± 0.116 0.024 ± 0.103 -0.058 ± 0.194 (c) Fecundity N (β± SE) 157 -0.336 ± 0.113 271 -0.016 ± 0.099 246 -0.077 ± 0.192 Table S5. Annual non-linear recruitment selection coefficients for laying date for female great tits 2009, 2010 and 2012. Analyses were carried out on three datasets: (a) all breeding females, including those whose breeding attempts failed early, (b) only breeding female whose ring number was known and (c) only females that were identified using the standard protocol of trapping when nestling are 8-10 days old. Selection coefficients in bold are significantly different from zero (p<0.05). (a) Laying date Year N Fecundity ( β ± SE) (b) N Fecundity ( β ± SE) (c) N Fecundity ( β ± SE) 2009 179 0.836 ± 1.155 169 0.798 ± 1.126 157 1.529 ± 1.182 2010 313 -0.912 ± 0.739 296 -1.001 ± 0.728 271 -0.884 ± 0.698 2012 318 -1.394 ± 1.168 300 -1.326 ± 1.161 246 -1.371 ± 1.146