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Table 2.

Simulation results for the SFR – LFIR and LH2OLFIR relation.

Galactic type Model results log10Y = a ⋅ log10X + b


εSF IMF
1% 1 s a = 0.908 ± 0.021,  b = −7.462 ± 0.218;  R2 = 0.941 a = 0.809 ± 0.001,  b = −6.685 ± 0.013
1% 5 s a = 0.945 ± 0.033,  b = −8.586 ± 0.329;  R2 = 0.772 a = 0.806 ± 0.002,  b = −7.202 ± 0.026
1% 1 t − h a = 0.923 ± 0.030,  b = −7.523 ± 0.304;  R2 = 0.827 a = 0.808 ± 0.001,  b = −6.606 ± 0.010
1% 5 t − h a = 0.841 ± 0.028,  b = −7.424 ± 0.294;  R2 = 0.849 a = 0.805 ± 0.002,  b = −7.111 ± 0.026
1% 1 b − h a = 0.903 ± 0.030,  b = −7.410 ± 0.298;  R2 = 0.765 a = 0.809 ± 0.001,  b = −6.707 ± 0.010
1% 5 b − h a = 0.935 ± 0.035,  b = −8.499 ± 0.354;  R2 = 0.879 a = 0.810 ± 0.003,  b = −7.269 ± 0.029
10% 1 s a = 0.900 ± 0.021,  b = −6.389 ± 0.214;  R2 = 0.832 a = 0.808 ± 0.001,  b = −5.675 ± 0.014
10% 5 s a = 0.998 ± 0.029,  b = −8.160 ± 0.287;  R2 = 0.870 a = 0.812 ± 0.003,  b = −6.261 ± 0.028
10% 1 t − h a = 0.908 ± 0.019,  b = −6.348 ± 0.189;  R2 = 0.982 a = 0.811 ± 0.001,  b = −5.632 ± 0.010
10% 5 t − h a = 0.925 ± 0.027,  b = −7.293 ± 0.272;  R2 = 0.908 a = 0.810 ± 0.002,  b = −6.157 ± 0.019
10% 1 b − h a = 0.892 ± 0.024,  b = −6.310 ± 0.238;  R2 = 0.956 a = 0.807 ± 0.002,  b = −5.690 ± 0.017
10% 5 b − h a = 0.934 ± 0.024,  b = −7.521 ± 0.247;  R2 = 0.948 a = 0.812 ± 0.003,  b = −6.295 ± 0.028
30% 1 s a = 0.918 ± 0.066,  b = −6.079 ± 0.624;  R2 = 0.658 a = 0.807 ± 0.001,  b = −5.182 ± 0.013
30% 5 s a = 0.941 ± 0.031,  b = −7.083 ± 0.297;  R2 = 0.892 a = 0.813 ± 0.002,  b = −5.795 ± 0.025
30% 1 t − h a = 0.899 ± 0.034,  b = −5.751 ± 0.330;  R2 = 0.832 a = 0.809 ± 0.001,  b = −5.135 ± 0.012
30% 5 t − h a = 0.865 ± 0.025,  b = −6.167 ± 0.240;  R2 = 0.923 a = 0.805 ± 0.003,  b = −5.620 ± 0.028
30% 1 b − h a = 0.870 ± 0.032,  b = −5.611 ± 0.310;  R2 = 0.789 a = 0.810 ± 0.002,  b = −5.244 ± 0.016
30% 5 b − h a = 0.873 ± 0.038,  b = −6.354 ± 0.371;  R2 = 0.861 a = 0.808 ± 0.003,  b = −5.771 ± 0.032

1% 1 s a = 0.809 ± 0.001,  b = −5.668 ± 0.008
1% 1 t − h a = 0.808 ± 0.001,  b = −6.655 ± 0.012
10% 1 s a = 0.811 ± 0.002,  b = −5.806 ± 0.016
10% 1 t − h a = 0.810 ± 0.001,  b = −5.677 ± 0.010

Notes. Results from running simulations with all considered parameters combinations (for more details see Table 1). In the IMF parameters, s refers to standard, t-h to top-heavy, and b-h to bottom-heavy. For details on the and its relation with the free-fall time efficiency we refer the reader to Dutkowska & Kristensen (2022), where extensively discussed the impact of this factor. The four setups in the bottom of the table divided by the horizontal line refer to our high-z test (see Sect. 4.2). Since the test had impact only on the water emission, we did not provide the SFR – LFIR relations as these are the same as for the corresponding Galactic setups. The correlation between the LH2OLFIR had consistent R2 ≈ 0.999, hence we do not provide the R2 values for this relation in the table.

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