Just in case brand new mistakes anywhere between empirically artificial and you will inversely modeled month-to-month fluxes is a good Gaussian shipping, we computed this new coefficients of any empirical model according to the least-squares means. New record likelihood of per model is actually calculated regarding Eq. 5: L = ? n dos ln ( dos ? ) ? nln ( s ) ? step 1 dos s dos ? i = 1 n ( y we ? y s we m , we ) 2 ,
where y represents the inversely modeled GPP or ER; y sim denotes the simulated GPP or ER with the empirical model; and s represents the SD of the errors between y and y sim.
To have models with the same level of fitted parameters otherwise coefficients, the reduced the fresh BIC get try, the bigger the alternative the design is actually (Eq. 4). The new BIC ratings to your knowledge kits and you can RMSE and you will roentgen dos towards the recognition set is actually displayed in Quand Appendix, Tables S3 and you can S4, exactly what are the average BIC rating and average RMSE and r 2 among five iterations.
An educated empirical model in order to imitate monthly local full GPP certainly one of the brand new 29 empirical patterns we felt is an excellent linear design between GPP and you may crushed temperature to possess April so you’re able to July and you may between GPP and you may solar power radiation for August so you’re able to November ( Au moment ou Appendix, Table S3), whereas monthly regional overall Er will likely be best artificial which have a quadratic reference to soil temperatures ( Lorsque Appendix, Dining table S4). The RMSE and you will r 2 between your environment-derived and you can empirically artificial multiyear average regular course is 0.8 PgC · y ?1 and you may 0.96 for GPP, whereas he’s 0.eight PgC · y ?step 1 and 0.94 having Er ( Si Appendix, Fig. S18). We up coming extrapolate the latest chose empirical activities so you’re able to guess changes in the regular years regarding GPP and you will Er because of a lot of time-title changes of temperature and you may radiation along the North american Snowy and you can Boreal region. Читать далее «Calculating the fresh new Timing towards the SOS and EOS»