DISCOVER Magazine. Science, Technology and The Future
Current Issue
Subscribe Today »
  • Renew
  • Give a Gift
  • Archives
  • Customer Service
  • Facebook
  • Twitter
  • Newsletter
  • Health & Medicine
  • Mind & Brain
  • Technology
  • Space
  • Human Origins
  • Living World
  • Environment
  • Physics & Math
  • Video
  • Photos
  • Podcast
  • RSS
Gene Expression
« Around the Web – January 24th, 2011
Neandertal admixture, revisiting results after shaken priors »

23andMe v3 chip & me

Yesterday the first batch of results from 23andMe’s v3 chip came online. Instead of 550,000 SNPs you get ~1 million. The difference is pretty clear when you look at the raw SNPs. Under Account → Browse Raw Data, I can enter LCT, and this is what I see:

I’m line #2. A sibling is line #1. Looking at this sort of stuff makes it really likely I’ll upgrade. My main rationale for not upgrading is that there’s diminishing marginal returns for ancestry related stuff. Speaking of ancestry, let’s compare my sibling’s ancestry painting to my own.

In a bit of a surprise, while I’m 43% “Asian,” my sibling is 40% “Asian.” This is somewhat reflected in global similarity.

Razib Sibling Difference
Northern Europe 66.56 66.53 0.03
Southern Europe 66.47 66.43 0.04
Middle Eastern 66.38 66.35 0.03
Northern Africa 65.78 65.68 0.1
Central/South Asia 67.18 67.14 0.04
East Asia 67.66 67.56 0.1
Siberia 67.47 67.36 0.11
Oceania 67.39 67.32 0.07
North America 67.2 67.15 0.05
South America 67.33 67.18 0.15
West African 63.99 63.87 0.12
Central African 64 63.89 0.11
Eastern African 64.15 64.06 0.09
South African 64.04 63.93 0.11

I was curious if the differences were v3 vs. v2 chip, so I compared two individuals of Northern European ancestry:

Northern Europe v2 Northern Europe v3 Difference
Northern Europe 67.82 67.88 -0.06
Southern Europe 67.74 67.73 0.01
Middle Eastern 67.14 67.12 0.02
Northern Africa 66.42 66.37 0.05
Central/South Asia 66.88 66.94 -0.06
East Asia 65.73 65.77 -0.04
Siberia 66.05 66.07 -0.02
Oceania 65.62 65.74 -0.12
North America 66.11 66.15 -0.04
South America 66.01 66.02 -0.01
West African 63.29 63.21 0.08
Central African 63.35 64.24 -0.89
Eastern African 63.48 63.43 0.05
South African 63.37 63.27 0.1

There’s less of a consistent difference here. So I really don’t know what to think.

On the other hand, there’s no difference when it comes to the two dimensional scatter plot which maps your position on the HGDP sample populations, global similarity advanced. Instead of looking at the total genome, remember that this is taking your genetic variation, and placing it within a position along a set of independent dimensions which emerge from the HGDP population variance. Here you’re looking at the two largest components of variance, which easily shake out into discernible clusters. The scale here is not fine enough to distinguish myself from my sibling; we’re basically on the same spot (the black positions are a bunch of South Asians I’ve shared genes with in the attempt to elucidate whether I am a genuine genetic outlier in South Asia).

Overall I’m obviously of two minds here: the differences between between myself & my sibling are genuine, or, they’re artifacts of the fact that I’m on v2 and they’re on v3. A major reason I have to suspect that the difference of chip is important is that my sibling is genetically very close to two individuals of Northern European ancestry…who happen to be two other people who I’m sharing with who are v3.  Additionally, these two people seem to be suspiciously genetically close as well. v3′s cluster with v3′s far more than random expectation.

But then I went to family inheritance. To the left you can see which regions where my sibling & I exhibit identity by descent. Since I do not seem to be inbred (confirmed by checking for runs-of-homozygosity in my raw genotype), my parents contribute different homologs, the distinct genes inherited from their own parents, to their offspring. Imagine that the paternal genotype is Pp and and maternal is Mm, where upper case is the copy inherited from the mother, and the lower case inherited from the father (our common grandparents). The offspring could be: PM, Pm, pM, pm. Siblings have an expectation of 0.50 relatedness, but because of the variance there’s some wiggle room. If the Southeast Asian ancestry which we seem to have is recent enough, then recombination may not have broken up the ancestrally informative regions of the genome which are concentrated on particular homologs inherited from each parent (in particular, I have a suspicion that my father’s genome is a mosaic of conventional Bengali along with recent Southeast Asian admixture; we’ll know in a few weeks). Variance of inheritance of these regions of the genomes may then explain the fact that I am “more Asian” than my sibling. All that being said, I do find it of interest that while I have “wet earwax” and the associated genotype (in heterozygote form), my sibling has the genotype for dry earwax, which is typically found in East Asia (though the minor allele with recessive expression is found at non-trivial proportions across South Asia). Such issues of personal hygiene are not ones which most have inquired of, so this was news to me, though not surprising given my heterozygosity on this locus.

Addendum: For Western Europeans who are on v3, are you finding trace amounts of Asian? Previous gene sharing suggests that ~1% Asian is not uncommon among Finns (and also Russians, but this can be attributable to recent Tatar admixture), but I haven’t seen this among other Europeans without recent non-European admixture. I ask because a friend on v3 who is adopted, but presumably of Western European ancestry (he was told the putative ethnicities of his biological parents), has 1% Asian.

Also, HAP is accepting v3 for South Asians, Iranians, Burmese, and Tibetans!

Share

January 26th, 2011 Tags: 23andMe, Genetics, Genomics
by Razib Khan in Genetics, Genomics, Uncategorized | 16 comments | RSS feed | Trackback >

16 Responses to “23andMe v3 chip & me”

  1. 1.   Zack Says:
    January 26th, 2011 at 4:01 am

    There does seem to be some v3 clustering going on. My wife’s best match is a European, the only other person in my sharing list who is on v3.

  2. 2.   Pohranicni Straze Says:
    January 26th, 2011 at 5:58 am

    My wife and I just got our results in. I show up as 100% European, my wife as >99% Asian with a little dash of European. On the plot, I show up in the overlap zone between German, French, English, and Norwegian; my wife shows up squarely in the middle of the Cambodian data (probably due to being intermediate between the Dai and Chinese reference populations). The difference in relative finder is really stark- she has only 14 potential cousins showing up, with the closest a 0.19% shared DNA match, while I have 462 at last count, up to a 0.49% match. We need more Southeast Asians in the database!

    Are there any good resources on Asian mtDNA groups out there? Most of the basic references I’ve found are full of highly detailed information on the mainly European haplogroups, with very scant information on anything else. My wife’s mtDNA shows up as M12, about which I’ve found very little other than that it has been found at very low frequencies in Japan, Korea, and Tibet.

  3. 3.   Mary Says:
    January 26th, 2011 at 6:22 am

    My results just came in. It shows >99% European and <1% African. At first I got excited, but soon realized that the African bit was "noise". My paper genealogy is pretty solidly northern European. My mtDNA is X2b.

  4. 4.   sv Says:
    January 26th, 2011 at 7:54 am

    “A major reason I have to suspect that the difference of chip is important is that my sibling is genetically very close to two individuals of Northern European ancestry…who happen to be two other people who I’m sharing with who are v3. Additionally, these two people seem to be suspiciously genetically close as well. v3′s cluster with v3′s far more than random expectation.”

    The baseline for similarity seems to be a couple percentage points higher on v3. I only have a few V3 people that I am sharing with, but in the case of South Asians and a Middle Easterner, they are higher than any of my other matches by quite a bit – much higher than they would be on v2. I also have an East African sharing on the v3 chip, and he is higher than the v2 West Eurasians. The “Compare Genes” feature really should be divided into two parts: one for comparisons between v3 people, and one for comparisons with v2 people.

  5. 5.   Razib Khan Says:
    January 26th, 2011 at 7:59 am

    Pohranicni Straz,

    at least your wife has relatives. my sibling is my first “relative” to show up :-) no brownz in the db.

  6. 6.   RK Says:
    January 26th, 2011 at 10:25 am

    Sorry, my previous question was stupid. Let me rephrase: is there any difference when you switch to the world-wide plot? I imagine not, or you would’ve mentioned it.

  7. 7.   Trey Says:
    January 26th, 2011 at 10:45 am

    Razib,

    Fascinating, I’m really curious how that shakes out. I have yet to have anyone close in relationship to me to do this, though I’m trying to convince my father and a sibling or two.

    An related question though, how would one go about taking the raw data and analyzing it further for ancestry? I’m a biologist, well versed in evolutionary science (my Ph.D), but the tools of genetic ancestry are new to me. Specifically the scatter plot using HGDP data. I’d like to get a better picture of my adopted daughter’s placement. My own is 99% European and 1% African, but maps pretty squarely in the European cluster, but I’d still like to look at that a bit deeper.

  8. 8.   Razib Khan Says:
    January 26th, 2011 at 1:05 pm

    Sorry, my previous question was stupid. Let me rephrase: is there any difference when you switch to the world-wide plot? I imagine not, or you would’ve mentioned it.

    didn’t see your previous comment. stuck in spam? anyway, there’s a slight difference. it’s more notable with other people. in the world plot i’m closer to the uyghur/hazara cluster than in the south asian zoom one.

  9. 9.   Razib Khan Says:
    January 26th, 2011 at 1:07 pm

    trey,

    http://www.genetics.ucla.edu/software/admixture/

    http://genepath.med.harvard.edu/~reich/Software.htm

    tell me if you can’t find the papers which explain ADMIXTURE and EIGENSOFT.

  10. 10.   Visualizing variation, input → output | Gene Expression | Discover Magazine Says:
    January 26th, 2011 at 2:12 pm

    [...] in reply to this comment: “Let me rephrase: is there any difference when you switch to the world-wide plot? I imagine [...]

  11. 11.   Jason Malloy Says:
    January 26th, 2011 at 9:34 pm

    Identity-by-descent sharing is also another ingenious way for demonstrating the heritability of traits without the “equal environment assumption,” and (presumably) could be used to test for racial differences in behavioral traits using mixed race siblings.

  12. 12.   Paul Ó Duḃṫaiġ Says:
    January 27th, 2011 at 3:02 am

    Myself and the wife got our results the other day. Unsurprising I’m 100% European and cluster in the middle of the Irish on “Global similarity”.
    The wife came back as 87% asian, 12% European and less then 1% african. She’s a Filipina and shows up in between cambodians and chinese. One of her Great Grandfathers was Spainish so she’s quite happy to come up as 1/8th European. Going on Ancestory finder I see she shares some very small segments with people in Taiwan (birthplace of Austronesian languages) and Mexico (The Philippines was ruled from Mexico City by the Spanish)

  13. 13.   Pohranicni Straze Says:
    January 27th, 2011 at 7:27 am

    I have found an oddity in the genome sharing section of 23andme. I am sharing genomes with some “potential 4th cousins”. I match all of them in the range of 74.37 – 74.48%. My wife matches them all in the range of 71.23 – 71.32%. But my wife and I match at 73.13%, despite our ancestry painting showing us to both be practically 100% of our respective groups (Asian and European). Has anyone else seen this sort of unexpectedly close match between supposedly “pure” racial types?

  14. 14.   Neandertal (haplotype) in the family! | Gene Expression | Discover Magazine Says:
    January 27th, 2011 at 12:52 pm

    [...] you know the results for my first sibling came back earlier this week. I decided to look at which haplotypes [...]

  15. 15.   RK Says:
    January 28th, 2011 at 10:59 am

    sv is right. My homozygosity for v2 data was 68.417% (including no-calls as homozygous), but for v3 it’s 70.598%. It seems likely that the minor allele is rarer for the new v3 stuff, so v3 people will cluster. They should normalize it.

  16. 16.   “Asian” in all the right places | Gene Expression | Discover Magazine Says:
    January 29th, 2011 at 3:14 pm

    [...] from southwest China in the HGDP data set. But now we have more than my genome to go on. This week I got the first V3 chip results from a sibling. And finally, yesterday the results from my parents came in. One thing that I immediately found [...]





    • About Gene Expression

      Razib Khan’s degrees are in biochemistry and biology. He has blogged about genetics since 2002, previously worked in software development, is an Unz Foundation Junior Fellow and lives in the western US. He loves habaneros.

    • Search

    • Recent Comments

      • Razib Khan on An Orientalist fantasy
      • Wulf Kurtoglu on An Orientalist fantasy
      • Larry, San Francisco on Vaccination as heterodoxy
      • Onur on The utility and reality of species
      • DK on The utility and reality of species
    • Must Read List

      • Principles of Population Genetics
      • Quantitative Genetics
      • The Horse, the Wheel, and Language
      • Albion's Seed
      • The Blank Slate
    • Links

      Blogroll

      Blogroll

      • A Replicated Typo
      • Archives at unz.org
      • Brown Pundits
      • Deep Sea News
      • Dienekes
      • Gene Expression Classic
      • Harappa Ancestry Project
      • John Hawks
      • Less Wrong
      • Randall Parker
      • Razib on Books
      • Razib's Aggregator Blog
      • Secular Right
      • Sepia Mutiny
      • Steve Sailer
      • West Hunter
      Q & A

      Q & A

      • A. W. F. Edwards
      • Adam K. Webb
      • Armand Leroi
      • Bruce Lahn
      • Charles C. Mann
      • Charles Murray
      • Dan Sperber
      • David Haig
      • Heather Mac Donald
      • Hugh Pope
      • James F. Crow
      • John Derbyshire
      • Jon Entine
      • Judith Rich Harris
      • Justin L. Barrett
      • Ken Miller
      • Matthew Stewart
      • Parag Khanna
      • Peter Turchin
      • Warren Treadgold
      Books

      Books

      • 1491
      • 1848
      • A Beautiful Math
      • A Concise Economic History of the World
      • A Farewell to Alms
      • A History of Christianity
      • A History of Iran
      • A History of the Byzantine State and Society
      • A Reason for Everything
      • A Separate Creation
      • A Splendid Exchange
      • A Theory of Religion
      • A World History
      • Aboriginal Australians
      • Adaptation and Natural Selection
      • After Tamerlane
      • After the Ice
      • Age of Abundance
      • Albion's Seed
      • American Judaism
      • Banana
      • Before the Dawn
      • Behavioral Genetics in the Postgenomic Era
      • Biometry
      • Blood of the Isles
      • Bones, Stones and Molecules
      • Born That Way
      • Calculus Made Easy
      • Castes of Mind
      • Catholicism and Freedom
      • Causes of Evolution
      • Children of the Revolution
      • China in World History
      • China's Cosmopolitan Empire
      • China: A New History
      • Clash of Extremes
      • Contours of the World Economy 1-2030 AD
      • Darwin's Cathedral
      • Dawn of Human Culture
      • Deep Ancestry
      • Defenders of the Truth
      • Descartes' Baby
      • Divided by the Faith
      • Dragon Bone Hill
      • Empires and Barbarians
      • Empires of the Silk Road
      • Empires of the Word
      • End of the Bronze Age
      • Endless Forms Most Beautiful
      • Epistasis and Evolutionary Process
      • Europe
      • Europe After Rome
      • Europe Between the Oceans
      • Evolution
      • Evolution and the Genetics of Populations
      • Evolution for Everyone
      • Evolutionary Dynamics
      • Evolutionary Genetics
      • Evolutionary Human Genetics
      • Evolutionary Quantitative Genetics
      • Explaining Culture
      • Fooled By Randomness
      • Fourth Crusade & the Sack of Constantinople
      • Freedom Just Around the Corner
      • From Plato to Nato
      • Genetical Theory of Natural Selection
      • Genetics and Analysis of Quantitative Traits
      • Genetics and Origins of Species
      • Genetics of Populations
      • Genghis Khan & the Making of the Modern World
      • Genome
      • Geography of Thought
      • Global Capitalism
      • God's War
      • Grand New Party
      • Grooming, Gossip, and the Evolution of Language
      • Guns, Germs, and Steel
      • Historical Dynamics
      • History of Rome
      • How Pleasure Works
      • How Rome Fell
      • How We Decide
      • In Gods We Trust
      • In Search of the Trojan War
      • India: A New History
      • Infidels
      • Journey of Man
      • Keepers of the Keys of Heaven
      • Knowledge and the Wealth of Nations
      • Mapping Human History
      • Marketplace of the Gods
      • Mathematical Models in Biology
      • Molecular Evolution
      • Molecular Markers, Natural History, and Evolution
      • Mother Nature
      • Mutants
      • Narrow Roads of Gene Land 1
      • Narrow Roads of Gene Land 2
      • Narrow Roads of Gene Land 3
      • Natural Selection and Social Theory
      • Nature via Nurture
      • No Two Alike
      • Of Moths and Men
      • Origin and Evolution of Cultures
      • Origins of Theoretical Population Genetics
      • Out of Thin Air
      • Pandora's Seed
      • Plagues and Peoples
      • Population Genetics and Microevolutionary Theory
      • Population Genetics, Molecular Evolution, and the Neutral Theory
      • Postwar
      • Power and Plenty
      • Predictably Irrational
      • Prehistory of the Mind
      • Principles of Population Genetics
      • Pursuit of Glory
      • Quantitative Genetics
      • R.A. Fisher, the Life of a Scientist
      • Reading in the Brain
      • Religion Explained
      • Rome and Jersalem
      • Sailing to Byzantium
      • Sewall Wright and Evolutionary Biology
      • Sociobiology
      • Speciation
      • Statistical Methods in Molecular Evolution
      • Supernatural Selection
      • Survival of the Prettiest
      • Synaptic Self
      • Tempo and Mode in Evolution
      • The 10,000 Year Explosion
      • The Age of Confucian Rule
      • The Age of Lincoln
      • The Altruism Equation
      • The Ancestor's Tale
      • The Ascent of Money
      • The Barbarian Conversion
      • The Black Swan
      • The Blank Slate
      • The Classical World
      • The Creationists
      • The Cultural Origins of Human Cognition
      • The Darwin Wars
      • The Descent of Man
      • The Early Chinese Empires
      • The Essential Difference
      • The Evolutionists
      • The Faith Instinct
      • The Fall of Rome
      • The Fall of the Roman Empire
      • The g Factor
      • The Genetics of Human Populations
      • The Germanization of Early Medieval Christianity
      • The Great Arab Conquests
      • The Great Divergence
      • The Great Human Diasporas
      • The Great Upheaval
      • The History and Geography of Human Genes
      • The Horse, the Wheel, and Language
      • The Human Web
      • The Imitation Factor
      • The Invisible Gorilla
      • The Language Instinct
      • The Making of a Christian Aristoracy
      • The Math Gene
      • The Mating Mind
      • The Meme Machine
      • The Moral Animal
      • The Number Sense
      • The Nurture Assumption
      • The Origin of Species
      • The Origin Of The Mind
      • The Origins of Virtue
      • The Power of Babel
      • The Price of Altruism
      • The Red Queen
      • The Reformation
      • The Rise of Western Christendom
      • The Sacred Chain
      • The Selfish Gene
      • The Seven Daughters of Eve
      • The Stuff of Thought
      • The Symbolic Species
      • The Tenth Parallel
      • The Troubled Empire
      • The Vertigo Years
      • The Vikings
      • Throes of Democracy
      • Unknown Quantity
      • Unto Others
      • War and Peace and War
      • War, Wine, and Taxes
      • We Are Doomed
      • Wealth and Poverty of Nations
      • What Hath God Wrought
      • When Baghdad Ruled the Muslim World
      • When Genius Failed
      • Why Sex Matters
      • Why Some Like It Hot
    • Elsewhere on DISCOVER

      RSS Genetics in DISCOVER mag

      Genetics in DISCOVER

      • Can Stuffing Germs up Ferrets Unleash a Human Pandemic?
      • 20 Things You Didn't Know About... Allergies
      • The Brain: Hidden Epidemic: 
Tapeworms Living Inside People's Brains
      • The Hagfish's Special Trick for Warding Off Predators: Thick, Sticky Mucus
      • The Big, Overlooked Factor in the Rise of Pandemics: The Human Vector
      • Does Rain Come From Life in the Clouds?
      • Gallery | 6 Creepy-Crawlies We Hate But Couldn't Do Without
      • Plants Repel Bacteria's Assaults by Spying on Their Chatter
    • Gene Expression content

      RSS Recent Posts

      Recent Posts

      • A quick note on comments policy
      • An Orientalist fantasy
      • Vaccination as heterodoxy
      • Hispanos and Sephardic ancestry
      • Are Hispanics that socially conservative?
      • The utility and reality of species
      • The American Community Survey: mend it, don’t end it!
      • GEDmatch
      Categories

      Categories

      • Administration
      • Agriculture
      • Anthroplogy
      • Ask a ScienceBlogger
      • Barbarism
      • Behavior Genetics
      • Bioethics
      • Biology
      • Biotech
      • Blog
      • Books
      • Cognitive Science
      • Creationism
      • Culture
      • Data Analysis
      • Demographics
      • Development
      • Ecology
      • Economics
      • Education
      • Environment
      • Evolution
      • Evolutionary Genetics
      • Evolutionary Psychology
      • Fantasy
      • Food
      • Futurism
      • Genetics
      • Genomics
      • Geography
      • GSS
      • Health
      • History
      • Human Evolution
      • Human Evolutionary Genetics
      • Human Evolutionary Genomics
      • Human Genetics
      • Human Genomics
      • International Affairs
      • Linguistics
      • Medicine
      • Paleontology
      • Personal Genomics
      • philosophy
      • Politics
      • Population Genetics
      • Psychology
      • Quantitative Genetics
      • Race
      • Religion
      • Science
      • Science Fiction
      • Select
      • Social Science
      • Space
      • Sports
      • Statistics
      • Technology
      • Transhumanism
      • Uncategorized
      Archives

      Archives

      • May 2012
      • April 2012
      • March 2012
      • February 2012
      • January 2012
      • December 2011
      • November 2011
      • October 2011
      • September 2011
      • August 2011
      • July 2011
      • June 2011
      • May 2011
      • April 2011
      • March 2011
      • February 2011
      • January 2011
      • December 2010
      • November 2010
      • October 2010
      • September 2010
      • August 2010
      • July 2010
      • June 2010
      • May 2010
      • April 2010
      • March 2010
      • February 2010
      • January 2010
      • December 2009
      • November 2009
      • October 2009
      • September 2009
      • August 2009
      • July 2009
      • June 2009
      • May 2009
      • April 2009
      • March 2009
      • February 2009
      • January 2009
      • December 2008
      • November 2008
      • October 2008
      • September 2008
      • August 2008
      • July 2008
      • June 2008
      • May 2008
      • April 2008
      • March 2008
      • February 2008
      • January 2008
      • December 2007
      • November 2007
      • October 2007
      • September 2007
      • August 2007
      • July 2007
      • June 2007
      • May 2007
      • April 2007
      • March 2007
      • February 2007
      • January 2007
      • December 2006
      • November 2006
      • October 2006
      • September 2006
      • August 2006
      • July 2006
      • June 2006
      • May 2006
      • April 2006
      • March 2006
      • February 2006
      • January 2006
    • Meta

      • Log in
      • Entries RSS
      • Comments RSS
      • WordPress.org
    • RSS Razib’s Pinboard Feed

      • Abortion polls, gay marriage polls: Why are we becoming liberal on some issues but not others? - Slate Magazine
      • At CUNY’s Top Colleges, Black and Hispanic Freshmen Enrollments Drop - NYTimes.com
      • Megafaunal Extinctions
      • New Details Are Released in Shooting of Trayvon Martin - NYTimes.com
      • White American babies are now in the minority. Why does the census divide people by race, anyway? - Slate Magazine
      • When you eat matters, not just what you eat
      • Can You Call a 9-Year-Old a Psychopath? - NYTimes.com
      • A Circle of Tech in Silicon Valley - Collect Payout, Do a Start-Up - NYTimes.com
      • Archaeologists Unearth Ancient Maya Calendar Writing - NYTimes.com
      • Repeat act: Parallel selection tweaks many of the same genes to make big and heavy mice
      • Blond as a window to ancient pigmentation variation
      • Eugenics, Malthusianism, and Trepidation, Bryan Caplan | EconLog | Library of Economics and Liberty
      • Textuality: The Jews Are a Race, Geneticist Says
      • The designer baby factory: Eggs from beautiful Eastern Europeans. Sperm from wealthy Westerners. And embryos implanted in desperate women. | Mail Online
      • Arab Spring Stirs Palestinian Journalists to Test Free Speech Limits - NYTimes.com
      • Barack Obama | Racial Diversity | Civil Rights | 2012 Election | The Daily Caller
      • Could These Start-Ups Become the Next Big Thing? - NYTimes.com
      • Steve Sailer's iSteve Blog: Pym Fortuyn, RIP
      • Never mind Europe; worry about India's economic growth - The Economic Times
      • 9 Swing States, Critical to Presidential Race, Are Mixed Lot - NYTimes.com


  • Kalmbach Publishing Co.

    Copyright © 2012, Kalmbach Publishing Co.

    Privacy - Terms - Reader Services - Subscribe Today - Advertise - About Us