Table 4.

Parameter estimates for each of the top models (AICc <2) in the confidence set for male (a) annual reproductive success (ARS) and (b) extra-pair annual reproductive success (EPARS) (Model set 3). Models are ranked by AICc, for each model the number of parameters (k), AICc, delta AICc (ΔAICc) and Akaike weight (Ai) are provided. Below the model-averaged estimates are provided with their confidence intervals (CI) and relative importance. In bold are the parameters with significant (P < 0.001) effect on male reproductive success. Age and Age2 refer to linear and quadratic age functions respectively, Behaviour to male mating behaviour, f to inbreeding and Tarsus to male tarsus length. None of the top models included an interaction (Behaviour: f)

ARS models	Intercept	Behaviour	Age	Age2	f	Tarsus	k	AICc	ΔAICc	Ai
(a)
Age + Age2 + Behaviour	0.192	1.150	1.299	−0.881			6	603.2	0.00	0.346
Age + Age2 + Behaviour + f	0.187	1.142	1.301	−0.880	−0.250		7	603.7	0.44	0.278
Age + Age2 + Behaviour + Tarsus	0.196	1.147	1.312	−0.884		0.058	7	605.2	1.97	0.129
Model-average est.	0.191	1.146	1.302	−0.881	−0.250	0.058
CI 2.5%	−0.044	0.857	0.981	−1.212	−0.637	−0.280
CI 97.5%	0.426	1.436	1.623	−0.550	0.138	0.397
Relative importance		1.00	1.00	1.00	0.37	0.17

EPARS models	Intercept	Behaviour	Age	Age2	f	Tarsus	k	AICc	AAICc	Ai
(b)
Age + Age2 + Behaviour	−0.321	0.343	1.614	−1.204			6	545.0	0.00	0.307
Age + Age2 + Behaviour + f	−0.329	0.335	1.620	−1.202	−0.253		7	545.9	0.94	0.192
Age + Age2 + Behaviour + Tarsus	−0.330	0.348	1.598	−1.190		−0.115	7	546.7	1.79	0.125
Model-average est.	−0.325	0.341	1.613	−1.201	−0.253	−0.115
CI 2.5%	−0.543	0.021	1.200	−1.620	−0.735	−0.552
CI 97.5%	−0.107	0.661	2.025	−0.782	0.229	0.323
Relative importance		1.00	1.00	1.00	0.31	0.20