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Encephalization quotient
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==Calculation== Snell's equation of simple [[allometry]] is<ref>{{Cite journal |last=Williams |first=M. F. |date=2002-04-01 |title=Primate encephalization and intelligence |url=https://www.sciencedirect.com/science/article/pii/S0306987701915166 |journal=Medical Hypotheses |volume=58 |issue=4 |pages=284β290 |doi=10.1054/mehy.2001.1516 |pmid=12027521 |issn=0306-9877|url-access=subscription }}</ref> :<math>E = CS^r,</math> were <math>E</math> is the weight of the brain, <math>C</math> is the [[cephalization]] factor, <math>S</math> is body weight, and <math>r</math> is the exponential constant. The "encephalization quotient" (EQ) is the coefficient <math>C</math> in Snell's allometry equation, usually normalized with respect to a reference species. In the following table, the coefficients have been normalized with respect to the value for the cat, which is therefore attributed an EQ of 1.<ref name=Serendip>{{Cite web |title=Thinking about Brain Size |url=https://serendipstudio.org/bb/kinser/Int3.html |access-date=2020-11-23}}</ref> Another way to calculate encephalization quotient is by dividing the actual weight of an animal's brain with its predicted weight according to Jerison's formula.<ref name="roth"/> {| class="wikitable sortable" ! Species ! Encephalization<br/> quotient (EQ)<ref name="Roth2005"/> |- |[[Human]]||7.4β7.8 |- |[[Northern right whale dolphin]]||5.55<ref name="10.3389_fnhum.2011.00108">{{cite journal |last=Osvaldo |first=Cairo |title=External Measures of Cognition |journal=Frontiers in Human Neuroscience |volume=5 |issue=108 |date=2011-10-04 |page=108 |doi= 10.3389/fnhum.2011.00108 |pmid=22065955 |pmc=3207484 |quote=Table 1 |doi-access=free }}</ref> |- |[[Bottlenose dolphin]]||5.26<ref name="10.3389_fnhum.2011.00108"/> |- |[[Orca]]||2.57β3.3<ref name=Marino>{{cite journal |last1=Marino |first1=Lori |title=Cetacean Brain Evolution: Multiplication Generates Complexity |journal=International Journal of Comparative Psychology |date=31 December 2004 |volume=17 |issue=1 |pages=1β16 |citeseerx=10.1.1.183.6184 |url=https://animalstudiesrepository.org/anatom/6/ }}</ref><ref name="Marino2006"/> |- |[[Common chimpanzee|Chimpanzee]]||2.2β2.5<ref>{{cite web |last1=Hill |first1=Kyle |date=July 14, 2014 |title=How Science Could Make a Chimp Like DAWN OF THE PLANET OF THE APES' Caesar |url=https://archive.nerdist.com/how-science-could-make-a-chimp-like-dawn-of-the-planet-of-the-apes-caesar/ |website=archive.nerdist.com }}{{self-published inline|date=February 2020}}</ref> |- |[[Raven]] |2.49<ref name=pmid16553307>{{cite journal |last1=Emery |first1=Nathan J |title=Cognitive ornithology: The evolution of avian intelligence |journal=Philosophical Transactions of the Royal Society B: Biological Sciences |date=29 January 2006 |volume=361 |issue=1465 |pages=23β43 |doi=10.1098/rstb.2005.1736 |pmc=1626540 |pmid=16553307}}</ref> |- |[[Domestic Pig]] (newborn)||2.42<ref name="Minervini_2016"/> |- |[[Rhesus macaque]]||2.1 |- |[[Red fox]]||1.92<ref>{{cite journal |last1=Boddy |first1=A.M. |last2=McGowen |first2=M.R. |last3=Sherwood |first3=C.C |last4=Grossman |first4=L.I. |last5=Goodman |first5=M. |last6=Wildman |first6=D.E. |title=Comparative analysis of encephalization in mammals reveals relaxed constraints on anthropoid primate and cetacean brain scaling |journal=Journal of Evolutionary Biology |date=May 2012 |volume=25 |issue=5|pages=981β994 |doi=10.1111/j.1420-9101.2012.02491.x|pmid=22435703 |s2cid=35368663 |doi-access=free }}</ref> |- |[[Elephant]]||1.75<ref name=Steinhausen2016/>β2.36<ref>{{cite journal |last1=Shoshani |first1=Jeheskel |last2=Kupsky |first2=William J. |last3=Marchant |first3=Gary H. |title=Elephant brain |journal=Brain Research Bulletin |date=June 2006 |volume=70 |issue=2 |pages=124β157 |doi=10.1016/j.brainresbull.2006.03.016 |pmid=16782503 |s2cid=14339772 }}</ref> |- |[[Raccoon]]||1.62<ref>https://www.berkeleydailyplanet.com/issue/2008-11-06/article/31551</ref> |- |[[Gorilla]]||1.39<ref name=Steinhausen2016/> |- |[[California sea lion]]||1.39<ref name=Steinhausen2016/> |- |[[Chinchilla]] |1.34<ref>{{cite journal |last1=Spotorno |first1=Angel E. |last2=Zuleta |first2=Carlos A. |last3=Valladares |first3=J. Pablo |last4=Deane |first4=Amy L. |last5=JimΓ©nez |first5=Jaime E. |title=Chinchilla laniger |journal=Mammalian Species |volume=758 |date=December 2004 |issue=758 |pages=1β9 |jstor=3504402 |doi=10.1644/758 |doi-access=free }}</ref> |- |[[Dog]]||1.2 |- |[[Squirrel]]||1.1 |- |[[Cat]]||1.00 |- |[[Hyena]]||0.92<ref name=Steinhausen2016/> |- |[[Horse]]||0.92<ref name=Steinhausen2016/> |- |[[Elephant shrew]]||0.82<ref name=Steinhausen2016/> |- |[[Brown bear]]||0.82<ref name=Steinhausen2016/> |- |[[Sheep]]||0.8 |- |[[Taurine cattle]]||0.52β0.59<ref name="RaiaBallarin2016">{{cite journal |last1=Ballarin |first1=Cristina |last2=Povinelli |first2=Michele |last3=Granato |first3=Alberto |last4=Panin |first4=Mattia |last5=Corain |first5=Livio |last6=Peruffo |first6=Antonella |last7=Cozzi |first7=Bruno |last8=Raia |first8=Pasquale |title=The Brain of the Domestic Bos taurus: Weight, Encephalization and Cerebellar Quotients, and Comparison with Other Domestic and Wild Cetartiodactyla |journal=PLOS ONE |date=29 April 2016 |volume=11 |issue=4 |pages=e0154580 |pmid=27128674 |pmc=4851379 |bibcode=2016PLoSO..1154580B }}</ref> |- |[[Mouse]]||0.5 |- |[[Rat]]||0.4 |- |[[Rabbit]]||0.4 |- |[[Domestic Pig]] (adult)||0.38<ref name="Minervini_2016"/> |- |[[Hippopotamus]]||0.37<ref name=Steinhausen2016/> |- |[[Opossum]]||0.2 |- <!-- |- |colspan="2" style="text-align: left;" |EQ relative to the cat as standard species: EQ(cat)=1 --> |- |} This measurement of approximate intelligence is more accurate for mammals than for other [[Class (biology)|classes]] and [[phylum|phyla]] of [[Animalia]].
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