# A posteriori reference variance

Hello Antonio,

Firstly, in the initial adjustment steps, JAG3D calculates the weight matrix

Pof all observations. Weights of all observations are calculated based on the given a-priori uncertainty (e.g. a-priori uncertainty of horizontal distance) and a-priori reference varianceσ.

Yes, you are right.

The default value of the a-priori reference variance σ is 1, and can't be changed in JAG3D. Are the stated facts correct?

Yes, the (a-priori) variance of the unit weight is set to `σ = 1`

. The variance of the unit weight does not affect the estimates (parameters and dispersion).

Furthermore, during the adjustment procedure JAG3D calculates the

a-posteriori reference variance factorand uses it to calculate all confidence measures defined by the adjustment model. Where does JAG3D directly shows the calculated a-posteriori reference variance factor?

The estimated variance of the unit weight is part of the variance-component estimation (vce). Thus, results are presented in the Table of the vce.

Next, after the adjustment of two consecutive epochs, during the deformation analysis, does JAG3D calculates and shows the

displacement vectorbetween the points of the two measured epochs?

Yes. The 2D displacement vectors are shown, see for instance Fig. 3 in this contribution.

And finally, let's say I have a 2D geodetic network measured in two consecutive epochs. The network is adjusted as a

free network(the minimum trace datum is defined). My goal is to determine if unstable points exist in the network (between epochs) and to calculate the deformation vector of the unstable points. What would be thegeneral workflow(main steps) in JAG3D to accomplish the above stated goal?

Please take a look on this example project. The reference point number `3`

is unstable. The next step is to duplicate point `3`

and to rename the points, e.g. `3_E1`

and `3_E2`

for reference and control epoch, respectively. Move `3_E1`

and `3_E2`

to a new point group (point 3 is unstable and should not define the datum). Introduce the new point names in the corresponding observation groups (,i.e., rename the point `3`

by `3_E1`

in reference epoch and rename the point by `3_E2`

in control epoch. Define a "link" `3_E1 - 3_E2`

to estimate the teststatistics of the displacement.

Kind regards

Micha

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applied-geodesy.org - *OpenSource* Least-Squares Adjustment Software for Geodetic Sciences