Yes Anna you're right. New pixel will be created and some might be lost.

But the changes in the statistics is what concerns me. If your statistical
description of a raster changes significantly after reprojection, which one
is right?



On Tue, Nov 17, 2015 at 12:50 PM, Anna Petrášová <[email protected]>
wrote:

>
>
> On Tue, Nov 17, 2015 at 7:56 AM, Carlos Grohmann <
> [email protected]> wrote:
>
>> Hello Jörg
>>
>> The area of cell shouldn't influence here. The statistics are about the
>> elevation values, regardless of the area represented by pixel. If I think
>> on the pixels as equally-spaced vector points, after projection they won't
>> be equally-spaced anymore, but the number of points won't change. So the
>> mean of their values (and stddev, etc) shouldn't change as well.
>>
>
> I don't think you can treat pixels as vector points here, I agree with
> what Jörg was saying. If some vector points would get further away, you
> will get new pixels in between and if the points get close enough, the
> information in all points but one is lost.  This is at least my intuitive
> understanding of the NN reprojection which can be wrong. I wouldn't be
> concerned that the results changed but how much they changed.
>
> Anna
>
>
>> regards
>>
>> Carlos
>>
>>
>> On Tue, Nov 17, 2015 at 5:15 AM, Robl Jörg Christian <
>> [email protected]> wrote:
>>
>>> Dear Carlos,
>>>
>>>
>>>
>>> I’m not an expert for projections.
>>>
>>> However, on Lat/Long WGS84 the actual area of cells decline from the
>>> equator towards the poles.
>>>
>>> Thus, I would expect that cell values near the poles have “more weight”
>>> using Lat/Long WGS84 than using an equal area projection.
>>>
>>>
>>>
>>> Near the poles I don’t understand how the values for extent and
>>> resolution should be correct (equal area), except there is a huge
>>> distortion (very likely for a cylindrical projection)!
>>>
>>> Are there really 21600 cols with a nsres = 1178 m at the north and south
>>> pole. I would call this a huge distortion.
>>>
>>>
>>>
>>> As a test, I would calculate the statistics for a smaller area centered
>>> at the equator. I would expect that the results are very similar comparing
>>> the lat/long and the reprojected dataset.
>>>
>>>
>>>
>>> Regards Jörg
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>> *Von:* grass-user [mailto:[email protected]] *Im
>>> Auftrag von *Carlos Grohmann
>>> *Gesendet:* Montag, 16. November 2015 23:32
>>> *Cc:* GRASS user list
>>> *Betreff:* Re: [GRASS-user] r.univar: different results with different
>>> projections?
>>>
>>>
>>>
>>> Hello Cesar
>>>
>>>
>>>
>>> That was weird, so I tested it again. The number of cells is the same
>>> for both projections, but the values differ. This must be related to
>>> reprojecting.
>>>
>>>
>>>
>>> To me, they shouldn't de different, since a nearest neighbor should
>>> preserve the original values. I'm not really comfortable with this, as I'm
>>> not sure I can trust the stats after projecting.
>>>
>>>
>>>
>>> best
>>>
>>>
>>>
>>> Carlos
>>>
>>>
>>>
>>>
>>>
>>> GRASS 7.1.svn (latlong):~ > g.region raster=gdem_etopo1_ice -pa
>>>
>>> projection: 3 (Latitude-Longitude)
>>>
>>> zone:       0
>>>
>>> datum:      wgs84
>>>
>>> ellipsoid:  wgs84
>>>
>>> north:      90N
>>>
>>> south:      90S
>>>
>>> west:       180W
>>>
>>> east:       180E
>>>
>>> nsres:      0:01
>>>
>>> ewres:      0:01
>>>
>>> rows:       10800
>>>
>>> cols:       21600
>>>
>>> cells:      233280000
>>>
>>> GRASS 7.1.svn (latlong):~ > r.univar map=gdem_etopo1_ice -ge
>>> percentile=100
>>>
>>> n=233280000
>>>
>>> null_cells=0
>>>
>>> cells=233280000
>>>
>>> min=-10803
>>>
>>> max=8333
>>>
>>> range=19136
>>>
>>> mean=-1892.40422534294
>>>
>>> mean_of_abs=2644.91906490912
>>>
>>> stddev=2649.98339302808
>>>
>>> variance=7022411.98332463
>>>
>>> coeff_var=-140.032629262802
>>>
>>> sum=-441460057688
>>>
>>> first_quartile=-4286
>>>
>>> median=-2457
>>>
>>> third_quartile=214
>>>
>>> percentile_100=8333
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>> GRASS 7.1.svn (eqarea):~ > g.region -p
>>>
>>> projection: 99 (Equal Area Cylindrical)
>>>
>>> zone:       0
>>>
>>> datum:      wgs84
>>>
>>> ellipsoid:  wgs84
>>>
>>> north:      6363885.33192604
>>>
>>> south:      -6363885.33192604
>>>
>>> west:       -20037508.34278924
>>>
>>> east:       20037508.34278924
>>>
>>> nsres:      1178.49728369
>>>
>>> ewres:      1855.32484655
>>>
>>> rows:       10800
>>>
>>> cols:       21600
>>>
>>> cells:      233280000
>>>
>>> GRASS 7.1.svn (eqarea):~ > r.univar map=gdem_etopo1_ice -ge
>>> percentile=100
>>>
>>> n=233280000
>>>
>>> null_cells=0
>>>
>>> cells=233280000
>>>
>>> min=-10803
>>>
>>> max=8333
>>>
>>> range=19136
>>>
>>> mean=-2382.28934158093
>>>
>>> mean_of_abs=2845.10169015775
>>>
>>> stddev=2508.93105538271
>>>
>>> variance=6294735.0406638
>>>
>>> coeff_var=-105.315966939504
>>>
>>> sum=-555740457604
>>>
>>> first_quartile=-4544
>>>
>>> median=-3285
>>>
>>> third_quartile=93
>>>
>>> percentile_100=8333
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>> On Mon, Nov 16, 2015 at 7:43 PM, César Augusto Ramírez Franco <
>>> [email protected]> wrote:
>>>
>>> Carlos,
>>>
>>>
>>>
>>> 2015-11-16 14:47 GMT-05:00 Carlos Grohmann <[email protected]>:
>>>
>>> GRASS 7.1.svn (base_maps):~ > g.region -p raster=gdem_etopo1_ice
>>>
>>> cells:      233280000
>>>
>>>
>>>
>>> GRASS 7.1.svn (base_maps):~ > r.univar map=gdem_etopo1_ice -ge
>>> percentile=100
>>>
>>> cells=58320000
>>>
>>>
>>>
>>> GRASS 7.1.svn (eqarea):~ > r.univar map=gdem_etopo1_ice -ge
>>> percentile=100
>>>
>>> cells=233280000
>>>
>>>
>>>
>>> ​​Notice how the number of pixels differs, that's the reason the
>>> statistics are not the same​, I don't get why the region has a different
>>> number of pixels than the raster itself in the original latlong
>>> projection...​ I think that's the root of the issue
>>>
>>>
>>>
>>> --
>>>
>>> *César Augusto Ramírez Franco*
>>> Laboratorio de Sistemas Complejos Naturales
>>> Escuela de Geociencias - Facultad de Ciencias
>>> Universidad Nacional de Colombia - Sede Medellín
>>> Teléfono: (57-4) 430 9369 - 300 459 6085
>>>
>>> http://labscn-unalmed.github.io/
>>>
>>>
>>>
>>>
>>>
>>> --
>>>
>>> Prof. Carlos Henrique Grohmann
>>> Institute of Energy and Environment - Univ. of São Paulo, Brazil
>>>
>>> - Digital Terrain Analysis | GIS | Remote Sensing -
>>>
>>>
>>>
>>> http://carlosgrohmann.com
>>>
>>> http://orcid.org/0000-0001-5073-5572
>>>
>>> ________________
>>> Can’t stop the signal.
>>>
>>
>>
>>
>> --
>> Prof. Carlos Henrique Grohmann
>> Institute of Energy and Environment - Univ. of São Paulo, Brazil
>> - Digital Terrain Analysis | GIS | Remote Sensing -
>>
>> http://carlosgrohmann.com
>> http://orcid.org/0000-0001-5073-5572
>> ________________
>> Can’t stop the signal.
>>
>> _______________________________________________
>> grass-user mailing list
>> [email protected]
>> http://lists.osgeo.org/mailman/listinfo/grass-user
>>
>
>


-- 
Prof. Carlos Henrique Grohmann
Institute of Energy and Environment - Univ. of São Paulo, Brazil
- Digital Terrain Analysis | GIS | Remote Sensing -

http://carlosgrohmann.com
http://orcid.org/0000-0001-5073-5572
________________
Can’t stop the signal.
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