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Dear Torstein,

I'm sorry, I wasn't precise. As far as I know, the formula changes mm to cm
so a 60mm astragalus x 1.83 would yield a WH value of 109.8cm.
As for the standard deviation and the method Tsalkin used to develop this
coefficient: I am not sure. Unfortunately I lack this publication.

I do agree though that weithers height based on bones as short as astragali
or calcanea is a bit dodgy since small differences in the measurement may
yield large differences in WH. That being said, basing WH on long bones,
e.g. metapodials, may also introduce errors because sexes may have
different WH coefficient values. Hence, I feel a bit uncertain about the
whole idea of WH. In my opinion, analysis of raw measurements or log ratios
provide better results. I have used this value for astragalus a couple of
times in my past publications as another way to analyse the osteometrical
data, additional to raw measurements and log ratios. As I've mentioned, it
is often used in publications in Central-Eastern Europe and in this context
that's a good tool to compare data with previously published sites
(especially from the older literature), despite its actual precision in
calculating the real WH of the animal. But then again, we may as well use
raw GLi for that.

Best wishes
Mik

*Mik Lisowski, PhD*

Postdoctoral Research Associate

BioArCh <https://www.york.ac.uk/archaeology/centres-facilities/bioarch/>,
Department of Archaeology

University of York

Academic page
<https://www.york.ac.uk/archaeology/people/research-staff/mik-lisowski/> |
Academia.edu <https://york.academia.edu/MikLisowski> | ResearchGate
<https://www.researchgate.net/profile/Mik_Lisowski>




*Zooarchaeologist and stable isotope specialist at Urban Ecology and
Transitions in the Zanzibar Archipelago
<https://urbanecologyzanzibar.wordpress.com/> project*


On Tue, 3 Mar 2020 at 14:12, Torstein Sjövold <[log in to unmask]>
wrote:

> The formula provided by Mik Lisowski for astragalus must be wrong. If GLI
> of astragalus is, say, 60 mm this means that with a coefficient of 1.83 the
> withers height is 109.8 mm or rounded off to 11 cm since the coefficient is
> dimensionless. Or to do the calculation the other way: A small Bos taurus
> with a withers height of 100 cm should have a GLI of astragalus of 54.6 cm
> which is absurd. It appears that this factor (which standard deviation or
> uncertainty is not known and therefore not reliable apart from at most the
> population for which it had been derived)  concerns either tibia, femur or
> radius+ulna.
>
>
> To make clear about the data I mentioned previously, they were derived
> from tables and figures concerning individual measurement of withers
> heights and corresponding bone lenghts, and as I am not at home having
> access to my library, my reference to Teichert may be wrong, it may be a
> publication by Zalkin.
>
>
> Torstein Sjövold
>
> Professor emeritus in Historical Osteology
> ------------------------------
> *Från:* Analysis of animal remains from archaeological sites <
> [log in to unmask]> för M Lisowski <[log in to unmask]>
> *Skickat:* den 3 mars 2020 14:22:56
> *Till:* [log in to unmask]
> *Ämne:* Re: Bos Whithers height
>
> Hi Humberto,
>
> A Russian researcher Tsalkin has determined several coefficients for
> Weithers Height for cattle in his book:
>
>> Tsalkin,V. I. (1970). Drevneishie domashnie zhivotnye Vostochnoi Evropy.
>> Izdatelstvo Nauka, Moscow.
>
> I don't have a copy I'm afraid.
> I only know that the coefficient for astragalus is:
> *GLl x 1.83 = WH *
> This coefficient is being used by many researchers in Eastern Europe, as
> far as I'm aware. Hopefully someone else can elaborate on this.
>
> Cheers,
> Mik
>
> *Mik Lisowski, PhD*
>
> Department of Archaeology
>
> University of Sheffield
>
> Minalloy House
>
> 10-16 Regent Street
>
> Sheffield S1 3NJ, UK
>
> Other address: [log in to unmask]
>
> My academic homepage
> <http://www.shef.ac.uk/archaeology/people/phds/mikolaj-lisowski>
>
> My profiles: Academia.edu <https://sheffield.academia.edu/MikLisowski>,
> ResearchGate <https://www.researchgate.net/profile/Mikolaj_Lisowski>
>
> Find out about our Zooarchaeology Short Course
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>  programme
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>
> <https://pzaf2017.wordpress.com/>
>
>
> On Tue, 3 Mar 2020 at 12:57, Laszlo Bartosiewicz <
> [log in to unmask]> wrote:
>
>> Dear Humberto,
>>
>>
>> I am not aware of withers height  calculations for *Bos taurus* using
>> astragalus or calcaneus measurements. However, the astragalus was used in
>> estimating the animals' weight in::
>>
>>
>> *Noddle*, Barbara A. 1973 *Determination of the body weight* of cattle
>> from bone measurements. In Domestikationsforschung und Geschichte der
>> Haustiere, ed. by János Matolcsi. Akadémiai Kiadó, Budapest: 377–390.
>>
>>
>> Robust, early forming tarsal bones may be growing more in transversal
>> measurements through life supporting the animal's weight, rather than
>> closely following the growth of withers height during ontogeny.
>>
>>
>> But this is only speculation. Checking a few reference skeletons for astragalus
>> or calcaneus measurements would be very interesting - unless somebody
>> has already done it that I am not aware of.
>>
>> Best wishes, Laszlo
>> ------------------------------
>> *From:* Analysis of animal remains from archaeological sites <
>> [log in to unmask]> on behalf of Humberto Verissimo <
>> [log in to unmask]>
>> *Sent:* 03 March 2020 13:42:17
>> *To:* [log in to unmask]
>> *Subject:* [ZOOARCH] Bos Whithers height
>>
>> Good afternoon dear colleagues
>> Does anyone know how to calculate, or do you know any bibliography that
>> makes it possible to calculate the the withers height  of *Bos taurus*
>> from the astragalus or calcaneus?
>> I would be grateful for any help.
>>
>> Best regards
>>
>> Humberto Veríssimo
>>
>> Humberto Filipe Dias Veríssimo
>> Mestrado em Arqueologia
>> Universidade do Algarve
>> Faculdade de Ciências Humanas e Sociais
>> Campus de Gambelas
>> 8005-139 Faro
>> Portugal
>>
>>
>> *https://ualg.academia.edu/HfDv <https://ualg.academia.edu/HfDv>  *
>> *https://www.researchgate.net/profile/Humberto_Verissimo*
>> <https://www.researchgate.net/profile/Humberto_Verissimo>
>>
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