Table 2a.

Analysis of variance table (‘type 3’) for the minimal adequate model from a GLM for the population-level analysis of the proportion of females second brooding produced each year, all populations combined, for the period 1955–2004 and 1973–2004. (The analysis was corrected for overdispersion (φ=6.19, φ=5.85 for the period 1955–2004 and 1973–2004, respectively), and has a total of 129 (1955–2004) and 95 (1973–2004) population year combinations; see text for further details. Note that if the same model is fitted excluding temperature, significance of year increases (Χ²=23.355 and Χ²=48.425, for the 1955–2004 and 1973–2004 period, respectively).)

	deviance			p-value		β(±s.e.)
parameter	1955–2004	1973–2004	d.f.	1955–2004	1973–2004	1955–2004	1973–2004
population	135.501	86.909	4(3)	<0.001	<0.001
year	23.200	37.891	1	<0.001	<0.001		−0.066 (0.011)
average laying date	3.368	36.418	1	0.066	<0.001	0.220 (0.123)	−0.132 (0.023)
average laying date2	8.564		1	0.003		−0.007 (0.003)
average clutch size	20.734	17.630	1	<0.001	<0.001	0.546 (0.122)	0.529 (0.127)
population density	18.862	8.155	1	<0.001	0.004	−0.014 (0.003)	−0.009 (0.003)
temperature	18.300	18.581	1	<0.001	<0.001	−0.35 (0.084)	−0.395 (0.095)
population×year	16.152		4(3)	0.003		see table 2b	see table 2b