Family Powers of Two

I have just come back from The Valley Hospital where I delivered a beautiful baby boy, a first baby, to a wonderful couple. The baby came out right onto the mothers chest and abdomen, and he was moving around, pink, and of course crying. He took his first 5 breaths, which are mostly in breaths, before he started crying from being born. I think that babies do not like being born. It is like getting evicted from a warm easy 98 degree bath that one has floated in for 9 months. I can't imaging getting evicted like that. And then babies have to do the hard work of actually breathing and digesting. It is called transition by the baby care staff. Transitioning is important, and it can be difficult for babies that are born in a stressful manner. Difficult or stressful births might be a premee or an infection. This could include influenza or strep sepsis, for instance, or a placental abruption. Transition is also sometimes a bit difficult for C Section babies that have not experienced labor. I think that the babies that don't get squished or compressed by uterine contractions have a harder time with transition. They breath harder and faster, and sometimes need oxygen, suctioning, and stimulation. They have more amniotic fluid in their lungs that needs to get expelled somehow. We call this transitioning difficulty "Transitional Tachypnea of the Newborn".  Here is the Wikipedia page as of 2 PM on December 7th. https://en.wikipedia.org/wiki/Transient_tachypnea_of_the_newborn. Notice that Wikipedia calls it transient tachypnea. That is another name.

But as a mathematician and a amateur philosopher I have been thinking about generational genetic math again. One of my patients has done the 23andMe genetics service and has found out some genetic history. This may be very valuable to someone who has no known family history. It can elucidate particular genetic risks, and will be valuable for the whole family, and her kids. (I can use the pronoun "her" because I only have female patients, as per my board certification rules, which disallow male patients under most circumstances).

Lets think about generational math. Realize that you have two parents. Your parents have two parents, meaning you have 4 grandparents. Your grandparents have two parents each. This means that you have 8 great grandparents. Notice that each generation has a power of two. Powers of two have very easy calculations, especially for a computer scientist as they deal with powers of two all the time. 2 to the 8th power is a byte, and there are 256 different bytes, starting at zero and ending at 255.

Anyway, lets continue. Two to the 16 is 65,536. This means you have 65,536 great great... 16th generation... grandparents. And so does everyone else.

Powers of two have an "exponential" growth rate. There is an astronomical amount of power in an exponential growth rate. Two to the 32 is 4, 294, 967,296.  

Here is the first kicker. 32 generations ago, was how long? If we allow 20-25 years per generation, we get 640 to 800 years. There was not 4 billion people on the planet back then. This was the European middle ages, the Ottoman empire, the Shogun's of Japan, the natives of the America's, which came over from Asia via multiple routes during the last Ice Age 10,000 or more years ago.

The Earth only got it's first 1 billion people as of the year 1800 or so. So how can you have 4 billion ancestors if there were much less than a billion people on the planet? The answer is that people share ancestors. This is another way of saying that we are all related.

Using this kind of math, we can show that in General, of the 8 billion people presently on the planet, we are no more than, maybe 64th cousins. This is a highly conservative estimate, because 2 to the 64th is 1.8 times 10 to the 20th power. This is trillions of times more than the number of people that have ever lived.

Or, another way to look at it, is that 2 to the 33 is about 8.6 billion. This is way more than the number of humans that existed 33 generations ago. Therefore, we all must share a lot of ancestors to get this high number.

How many generations of humans exist? Anthropologists and geneticists believe the humans evolved from a herd of homo sapiens consisting of about 40 woman, tracked through the mitochondrial genetics. This herd lived somewhere around 250,000 years ago, centered somewhere in Africa, and expanded from there. 250,000 years, divided by 20 years per generation, gives 12,500 generations. So your 12,500th grandfather, is most certainly the same as mine, no matter where you are in the world. The only way this could be different is if your family came from a different planet.

No matter how you do this math, the numbers will add up somewhere in the same ballpark.

We are likely no more than 35th cousin, and we are not possibly more than 12,000th cousin. No matter who you are in the world.

Can 12,000 generations evolve humans so differently? Pale skin was necessary in northern latitudes because humans would die of rickets without vitamin D. Pale skin was necessary to survive the low sunlight levels of northern latitudes.

Pale skin in equatorial Africa was similarly dangerous. A person like myself can get a sunburn in under 20 minutes of hot unmitigated sunshine. Everyday all day without coverage from the Sun and I would eventually get a tan, but I would be seriously challenged by the burn, the blisters, and the cancer that would likely ensue. A darker neighbor would most likely be healthier and have more successful reproduction. I believe that even a few generations like this would evolve humans to have different pigments. So yes, this many generations can evolve a lot of differences.

So, the bottom line, is that we are all related. All Europeans are no more than maybe 32nd cousins. All Asians similarly. All Africans similarly. But, assuming that the races of humans split up at the exact moment of creation of the species and didn't mix since, we can be no more than 12,000th cousin. I believe those conditions were not true, and that humans intermixed over history, so it would be difficult to find humans that are, say, more than a thousandth cousin.

We are all related. We are all one family.

Thanks for reading.

http://doctorjohnmarcus.blogspot.com 

Phone 201-447-0077

Fax 201-447-3560 

Member of: 

Lifeline Medical Associates at LMA_LLC.com 

Medical Society of New Jersey 

Past President of Bergen County Medical Society 

Member of Medical Justice 

Member of the U.S. Woman's Health Alliance at http://uswomenshealthalliance.com/index.php

Member of the American College of Ob/Gyn at www.acog.org 

Board Certified by American Board of Obstetrics and Gynecology at www.abog.org 

Member of The Valley Hospital Medical staff Department of Ob Gyn 

-ex Director, Associate Director, Secretary, Chief of Education, Chief of cancer committee. 

- present member of Ob Critical Care Committee 

Member of Hackensack UMC at Pascack Valley  Medical Staff at http://www.hackensackumcpv.com/