Problem Set 2
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Solutions2

 

ANTH 450/550: Population and Quantitative Genetics

Problem Set 2

Due 2:00 pm, Thursday, September 17, 1998

1. You love cats and decide to start a cat breeding business by crossing a black male with a homozygous yellow female. The gene for coat color is sex-linked, and black and yellow are codominant (heterozygotes are calico):

a) What proportions of the different alleles and genotypes do you expect to see in the male and female offspring?

b) What do you expect to see in the F2 generation?

c) What do you expect for allele frequencies in male and female offspring in the F3, F4, and F5 generations?

d) Using any computer graphics package (the Anthro computer pod has MS Power Point, among others), plot the trends in allele frequency for sex for your numbers [note: hand-drawn work will not be accepted]. What general inference can you make about the behavior of sex-linked alleles in a population?

 

 

See the attached figure for the next two problems

2. The situation of the Ptolemaic rulers of Egypt is one of both historical and biological interest. Persian-controlled Eqypt was conquered by Alexander the Great in 323 BCE, and Alexander’s commander, Ptolemy Soter (Ptolemy I, literally "Ptolemy the Savior") took control of Egypt shortly after Alexander’s death.  The Hellenistic Greek rulers of Egypt, like other Greek colonists of Egypt, were eager to merge Greek and classical Egyptian culture.  The Ptolemaic rulers of Egypt continued the Pharonic pattern of long-term monument construction; for example the Temple of Horus, first begun by on 23 Aug, 237 BCE by declaration of Ptolemy Euergetes, was finally complete on 5 Dec, 57 BCE under the supervision of Berenike IV.  The Lighthouse at Alexandria, one of the seven wonders of the world, was conceived of by Ptolemy I and finished and dedicated by Ptolemy.  If you would like to learn more about the Ptolemaics, check out these websties

 

http://www.west.net/~beck/EC23-Hellenistic.html#2

http://pw1.netcom.com/~aphilipp/housechr.htm

http://pharos.bu.edu/Egypt/Wonders/pharos.html

 

Your task, should you choose to accept it, is twofold.  First, calculate the inbreeding coefficient for Ptolemy V.  Then, using his inbreeding coefficient in the equation, find Berenike IV's inbreeding coefficient.

A few hints:  1)  You don't need to go all the way up to Berenike (I) to get Berenike IV's inbreeding
                             coefficient.   Instead, use Ptolemy V (or any of the other individuals in shorter loops)
                             as your common ancestor, but remember to plug his inbreeding coefficient into the
                             equation.

                       2)   There are a lot of paths for Berenike IV.  If you have questions or want to double check
                             your work, feel free to email Ann or stop by the Osteology Lab (Anthropology Room
                             166) to find her.

                       

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