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. 2012 Dec 17;50(1):181–189. doi: 10.1111/1365-2664.12023

Table 1.

Meta‐analysis of the temperature effect parameter r, estimated with three methods: differencing, two‐point piece‐wise detrending and four‐point piece‐wise detrending

Quantity Maximum temperature Minimum temperature
Differencing 2 point 4 point Differencing 2 point 4 point
Q T (Heterogeneity) 51·5 69·3 127·1 75·0 114·1 67·8
d.f. 36 36 36 37 37 37
P‐value 0·045 <0·001 <0·001 <0·001 <0·001 0·001
r¯
0·0863 0·0900 0·0921 0·0497 0·0459 0·0476
SE(r¯)
0·0058 0·0068 0·0081 0·0107 0·0126 0·0105
σpooled 0·0181 0·0262 0·0377 0·0441 0·0593 0·0418
Square root of the mean within study variance 0·0440 0·0419 0·0407 0·0595 0·0596 0·0622
SE(r new) 0·0190 0·0270 0·0385 0·0454 0·0606 0·0431

Q T is a measure for heterogeneity, calculated with eqn. 10. It is tested against a χ2 statistic with reported degrees of freedom and resulting P‐values. r¯ is the estimated mean relative rate of change of the catch per °C, calculated with eqns 6–8 (random‐effects model); SE(r¯) is the standard error (= standard deviation) of r¯, calculated with eqn. 9 for the random‐effects model taking the square root of the variance; SE(r new) calculated from eqn. 11 is the prediction error that measures the uncertainty of the r estimate for an entirely new study (r new).