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Performance of v1 and v2 on metabolism variables

The question of the performance of v1 and v2 came up in the reviews. I did a little analysis on this. Below is a table of summary statistics of the NSE's for each of the sites with metabolism estimates for GPP.

count mean std min 25% 50% 75% max
('BC_24', 'v1 - Process-Informed Multitask') 10 0.183483 0.041765 0.148315 0.155368 0.173863 0.184158 0.277129
('BC_24', 'v2 - Process-Dependent Multitask') 10 0.121001 0.240079 -0.333508 -0.031117 0.137663 0.247184 0.451938
('BC_40', 'v1 - Process-Informed Multitask') 10 -0.0016963 0.040878 -0.064888 -0.0323425 -0.0013305 0.027947 0.059083
('BC_40', 'v2 - Process-Dependent Multitask') 10 0.0858435 0.120403 -0.101917 0.0097475 0.0528945 0.172728 0.268014
('BC_53', 'v1 - Process-Informed Multitask') 10 -0.129638 0.0973996 -0.323575 -0.168624 -0.116805 -0.078289 0.040102
('BC_53', 'v2 - Process-Dependent Multitask') 10 -0.111172 0.396592 -0.687346 -0.412103 -0.171459 0.199471 0.5041
('SR_40', 'v1 - Process-Informed Multitask') 10 -0.42923 0.173224 -0.76964 -0.528927 -0.394296 -0.317387 -0.160238
('SR_40', 'v2 - Process-Dependent Multitask') 10 -0.561778 0.320169 -1.0773 -0.708186 -0.482284 -0.338313 -0.213263

And ER:

count mean std min 25% 50% 75% max
('BC_24', 'v1 - Process-Informed Multitask') 10 0.379391 0.042008 0.292413 0.363698 0.375451 0.405685 0.447272
('BC_24', 'v2 - Process-Dependent Multitask') 10 0.265132 0.18703 -0.12138 0.174873 0.248651 0.419316 0.487525
('BC_40', 'v1 - Process-Informed Multitask') 10 -0.0487092 0.0424984 -0.114341 -0.070662 -0.058703 -0.0354472 0.031145
('BC_40', 'v2 - Process-Dependent Multitask') 10 -0.0402173 0.0880268 -0.158404 -0.113148 -0.0345635 0.020053 0.089052
('BC_53', 'v1 - Process-Informed Multitask') 10 -0.0912459 0.21411 -0.319095 -0.268808 -0.096497 -0.0248843 0.380792
('BC_53', 'v2 - Process-Dependent Multitask') 10 -0.412079 1.0233 -2.56067 -0.938191 -0.0640765 0.322946 0.490124
('SR_40', 'v1 - Process-Informed Multitask') 10 0.104795 0.0148806 0.085017 0.0922185 0.103179 0.117831 0.125553
('SR_40', 'v2 - Process-Dependent Multitask') 10 0.0241732 0.10121 -0.155439 -0.0464302 0.068531 0.0946857 0.131504

Here are some example predictions at two of the sites (BC_24 which had the highest metrics for GPP and ER, and BC_53 and SR_40 which were the worst at predicting ER and GPP, respectively). I included all 10 replicates because they vary quite a lot replicate to replicate:

BC_24_ER
BC_24_GPP
BC_53_ER
SR_40_ER

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