Difference between revisions of "Q-model"
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Johan Tegman (talk | contribs) |
Johan Tegman (talk | contribs) |
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=== Funktion 3: Kvarvarande andel kol i förna från grenar, stam, stubbe och grova rötter över tiden === | === Funktion 3: Kvarvarande andel kol i förna från grenar, stam, stubbe och grova rötter över tiden === | ||
| − | <math>G_w (t,t_{max}) | + | <math>G_w(t,t_{max}) |
= \frac{2}{\alpha_w(1-z)t_{max}} \Bigg[ (1+\alpha_wt)^{1-z}-[1+\alpha_w(t-t')]^{1-z} \Bigg(1-\frac{t'}{t_{max}}\Bigg)\Bigg] | = \frac{2}{\alpha_w(1-z)t_{max}} \Bigg[ (1+\alpha_wt)^{1-z}-[1+\alpha_w(t-t')]^{1-z} \Bigg(1-\frac{t'}{t_{max}}\Bigg)\Bigg] | ||
+ \frac{2}{\alpha_w^2(1-z)(2-z)t_{max}^2}\Big\{[1+\alpha_w(t-t')]^{2-z}-[1+\alpha_wt]^{2-z}\Big\} | + \frac{2}{\alpha_w^2(1-z)(2-z)t_{max}^2}\Big\{[1+\alpha_w(t-t')]^{2-z}-[1+\alpha_wt]^{2-z}\Big\} | ||