The best-fitting value and scatter for the parameters in the geometric function (equation 8) which describes the ratio of output − input flux difference to input flux as a function of input flux density averaged over five different simulated fields at 250, 350 and 500 μm. The top three rows correspond to simulations with randomly distributed input sources, while the bottom three rows correspond to simulations with clustered input sources. The difference between the clustered and unclustered simulations is small.
| Method . | |$a_0^{250}$| . | |$a_0^{350}$| . | |$a_0^{500}$| . | |$a_1^{250}$| . | |$a_1^{350}$| . | |$a_1^{500}$| . | |$a_2^{250}$| . | |$a_2^{350}$| . | |$a_2^{500}$| . |
|---|---|---|---|---|---|---|---|---|---|
| SXT (random) | 20.5(4.4) | 16.9(3.3) | 19.7(4.7) | −1.6(0.1) | −1.5(0.1) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF (random) | 25.6(7.2) | 20.5(4.3) | 22.3(4.7) | −1.5(0.0) | −1.5(0.0) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF250 (random) | 25.6(7.2) | 17.2(3.1) | 8.7(2.2) | −1.5(0.0) | −1.7(0.1) | −2.0(0.2) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SXT (clustered) | 17.9(9.1) | 21.0(4.5) | 21.4(5.4) | −1.4(0.4) | −1.7(0.4) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF (clustered) | 26.9(7.1) | 22.3(5.5) | 22.9(6.3) | −1.6(0.1) | −1.5(0.1) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF250 (clustered) | 26.9(7.1) | 18.7(3.6) | 9.3(2.7) | −1.6(0.1) | −1.7(0.1) | −1.9(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| Method . | |$a_0^{250}$| . | |$a_0^{350}$| . | |$a_0^{500}$| . | |$a_1^{250}$| . | |$a_1^{350}$| . | |$a_1^{500}$| . | |$a_2^{250}$| . | |$a_2^{350}$| . | |$a_2^{500}$| . |
|---|---|---|---|---|---|---|---|---|---|
| SXT (random) | 20.5(4.4) | 16.9(3.3) | 19.7(4.7) | −1.6(0.1) | −1.5(0.1) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF (random) | 25.6(7.2) | 20.5(4.3) | 22.3(4.7) | −1.5(0.0) | −1.5(0.0) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF250 (random) | 25.6(7.2) | 17.2(3.1) | 8.7(2.2) | −1.5(0.0) | −1.7(0.1) | −2.0(0.2) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SXT (clustered) | 17.9(9.1) | 21.0(4.5) | 21.4(5.4) | −1.4(0.4) | −1.7(0.4) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF (clustered) | 26.9(7.1) | 22.3(5.5) | 22.9(6.3) | −1.6(0.1) | −1.5(0.1) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF250 (clustered) | 26.9(7.1) | 18.7(3.6) | 9.3(2.7) | −1.6(0.1) | −1.7(0.1) | −1.9(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
The best-fitting value and scatter for the parameters in the geometric function (equation 8) which describes the ratio of output − input flux difference to input flux as a function of input flux density averaged over five different simulated fields at 250, 350 and 500 μm. The top three rows correspond to simulations with randomly distributed input sources, while the bottom three rows correspond to simulations with clustered input sources. The difference between the clustered and unclustered simulations is small.
| Method . | |$a_0^{250}$| . | |$a_0^{350}$| . | |$a_0^{500}$| . | |$a_1^{250}$| . | |$a_1^{350}$| . | |$a_1^{500}$| . | |$a_2^{250}$| . | |$a_2^{350}$| . | |$a_2^{500}$| . |
|---|---|---|---|---|---|---|---|---|---|
| SXT (random) | 20.5(4.4) | 16.9(3.3) | 19.7(4.7) | −1.6(0.1) | −1.5(0.1) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF (random) | 25.6(7.2) | 20.5(4.3) | 22.3(4.7) | −1.5(0.0) | −1.5(0.0) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF250 (random) | 25.6(7.2) | 17.2(3.1) | 8.7(2.2) | −1.5(0.0) | −1.7(0.1) | −2.0(0.2) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SXT (clustered) | 17.9(9.1) | 21.0(4.5) | 21.4(5.4) | −1.4(0.4) | −1.7(0.4) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF (clustered) | 26.9(7.1) | 22.3(5.5) | 22.9(6.3) | −1.6(0.1) | −1.5(0.1) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF250 (clustered) | 26.9(7.1) | 18.7(3.6) | 9.3(2.7) | −1.6(0.1) | −1.7(0.1) | −1.9(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| Method . | |$a_0^{250}$| . | |$a_0^{350}$| . | |$a_0^{500}$| . | |$a_1^{250}$| . | |$a_1^{350}$| . | |$a_1^{500}$| . | |$a_2^{250}$| . | |$a_2^{350}$| . | |$a_2^{500}$| . |
|---|---|---|---|---|---|---|---|---|---|
| SXT (random) | 20.5(4.4) | 16.9(3.3) | 19.7(4.7) | −1.6(0.1) | −1.5(0.1) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF (random) | 25.6(7.2) | 20.5(4.3) | 22.3(4.7) | −1.5(0.0) | −1.5(0.0) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF250 (random) | 25.6(7.2) | 17.2(3.1) | 8.7(2.2) | −1.5(0.0) | −1.7(0.1) | −2.0(0.2) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SXT (clustered) | 17.9(9.1) | 21.0(4.5) | 21.4(5.4) | −1.4(0.4) | −1.7(0.4) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF (clustered) | 26.9(7.1) | 22.3(5.5) | 22.9(6.3) | −1.6(0.1) | −1.5(0.1) | −1.4(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
| SF250 (clustered) | 26.9(7.1) | 18.7(3.6) | 9.3(2.7) | −1.6(0.1) | −1.7(0.1) | −1.9(0.1) | 0.0(0.0) | 0.0(0.0) | 0.0(0.0) |
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