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function [sann,stot,latind,wmstar] = diag_sann(umean,vmean,wmean,maxmld,delZ,dxc,dyc,raw,mask); | 
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%function [sann,stot,latind,wmstar] = diag_sann(umean,vmean,wmean,maxmld,delZ,dxc,dyc,raw,mask) | 
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% | 
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% Diagnose annual subduction rate of Marshall et al 1993. | 
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% S_ann = -w_H - u_H . del H, [m/yr] | 
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% | 
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% Also, diagnose S_tot, total subduction estimated from | 
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%  annual subduction rate. | 
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% S_tot = \int S_ann dt dA, [Sv] | 
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% | 
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% intermediate terms of calculation: | 
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% latind = u_H . del H = lateral induction | 
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% wmstar = w_H = vertical velocity at h = maxmld. | 
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% | 
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% mask = 2D mask for calculation of subrate. | 
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% | 
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% Started: D. Jamous 1996, Fortran diagnostics. | 
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% Updated: G. Gebbie, 2003, MIT-WHOI for Matlab. | 
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 | 
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 %% map the mean velocity onto the maxmld surface. | 
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 [umstar,vmstar,wmstar] = get_mldvel(umean,vmean,wmean,delZ,maxmld); | 
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 | 
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 %% compute mean lateral induction. | 
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 [latind] = diag_induction(umstar,vmstar,maxmld,dxc,dyc); | 
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 | 
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 sann = -wmstar - latind; | 
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 | 
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 sann = sann .*86400 .*365; %convert to meters/year. | 
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  | 
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 sanntmp = sann; | 
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 sanntmp(isnan(sanntmp))=0; | 
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 stot=sum(sum(sanntmp.*raw.*mask))./(86400)./365  | 
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 return | 
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