# [ncl-talk] RATIO in Taylor Diagram

Vanúcia Schumacher vanucia-schumacher at hotmail.com
Fri Sep 18 14:04:26 MDT 2015

```I'm confused on how to calculate weight,this way that I'm calculating the weight, it's has 3 dimensionswhat i doing wrong in this calculation? I understand that should have 2 dimensions, but I can not do this.
; weight: commonly cosine(latitude)
lat     = f->lat       rad     = 4*atan(1.)/180
dims    = dimsizes(x)        ;[time][lat][lon]       ntim    = dims(0)             rank    = dimsizes(dims)
weight  = conform(x, wgt , rank-2)

> Date: Thu, 17 Sep 2015 12:33:54 -0600
> Subject: Re: [ncl-talk] RATIO in Taylor Diagram
> From: shea at ucar.edu
> To: vanucia-schumacher at hotmail.com
> CC: ncl-talk at ucar.edu
>
>
> ---
>
> Please do not send repeat questions to ncl-talk
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>
> Good Luck
> D,
>
>
> On Mon, Sep 14, 2015 at 8:14 PM, Vanúcia Schumacher
> <vanucia-schumacher at hotmail.com> wrote:
> > Dear users,
> >
> > I'm confused with the calculation of RATIO (normalized root-mean-saquare
> > (RMS) differences), relation to Taylor Diagram,  the comments that I have
> > read here in the group, it was suggested calculated in 3 ways:
> >
> > 1) Use of the function:   dim_rmsd
> >
> > or
> >
> > 2) RATIO
> > ; temporal variance at each grid point [local]
> >
> > ;   vref_var_T = dim_variance_n(rdata, 0 ) ; (lat,lon)
> > ;   vcase_var_T = dim_variance_n(cdata, 0 )
> >
> > ;                 ; wgted areal *local* temporal variance
> >
> > ;   wvar_ref_T = sum(wgt_S*vref_var_T)/sumwgt_S
> > ;   wvar_case_T = sum(wgt_S*vcase_var_T)/sumwgt_S
> >
> >                  ; sqrt of ratio of spatially weighted variances
> >
> > ;   wvar_ratio_T = (wvar_case_T/wvar_ref_T)^0.5
> >
> > I did not understand what would that sumwgt_S ?
> >
> > or 3) more explicitly, for xc and xo on the same grid: wgtc=wgto
> >
> > ;         wgtc  = conform_dims(dimsizes(xc), gw, 0)    ; make 2d for gw[*]
> > ;         xavgc = sum(wgtc*xc)/sum(wgtc)               ; control centered
> > mean
> > ;         xavgo = sum(wgtc*xo)/sum(wgtc)
> >
> > ;     (b) compute the sum of the centered area weighted variances.
> >
> > ;         dc2   = sum(wgtc*(xc-xavgc)^2)               ; control ; centered
> > ;         do2   = sum(wgtc*(xo-xavgo)^2)
> > ;         rat   = sqrt(do2/dc2)
> >
> > xc and xo is the variance or datasets?
> >
> >
> > I would like to know the step by step to correct this calculation RATIO, if
> > someone can help me, please.
> >
> > Thanks
> >
> >
> >
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