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Lecture I. Practice Question Answers. 1. (4 pts) Questions on energy. a. Why is it necessary for organisms to obtain energy? b. How do green plants obtain energy? c. How do animals obtain energy? d. What is the ultimate source of energy for all organisms? 2. (2 pts) The figure below shows some of the levels in the biological hierarchy discussed in introductory texts. List four additional levels that fit between genes and populations. 1 3. (1½ pts) Disorder in the Department of Entropy. List three things you could do to reduce entropy in the office. What would each reduction require? 2 4. (8 pts) Consider gas molecules in a box divided into two equal sized compartments by a permeable membrane. Let 𝑝1 be the fraction of molecules in compartment 1, and 𝑝2 , the fraction in compartment 2. The entropy, 𝐸, of the system is 𝐸= 𝑝1 log 𝑝1 +𝑝2 log 𝑝2 − log 2 (1) where log 𝑝1 is the common (base 10) logarithm of 𝑝1, etc. Note that by definition, 𝑝1 + 𝑝2 = 1. (2) a. What are the values of p1 and p2 in the figure? b. Using Equation (1), compute E for p1 = .01, .10, .25, .5, .75, .9, and .99. c. For what value(s) of p1 on [0, 1] is E minimal? d. For what value(s) of p1 on [0, 1] is E maximal? 3 5. (4 pts) Hoyle argued that the spontaneous origin of life, essentially because the time required to create biological complexity by random mutation vastly exceeds the time that was available. How might an evolutionary biologist respond? 6. (4 pts) Crudely, one can think of cells as “bags” of biological molecules that permit controlled molecular exchange with their environment. From the perspective of the Second Law, why should biological molecules be so packaged? 7. (4 pts) Why did Schrödinger imagine the informationbearing crystal to be aperiodic, i.e., why wouldn’t a “periodic” crystal such as NaCl Table salt (NaCl) is a “periodic” crystal. (right) have sufficed? 4 8. (4 pts) Regarding cells and viruses: a. If cells from cells, whence cometh the first cell? Give two possibilities. b. Viruses lack most of the structure of even the simplest cells. Whence cometh viruses? Give two possibilities. 9. (4 pts) Regarding the evolution of multicellular organisms: a. In unicellular organisms, the cell is the organism; in multicellular organisms, cells are building blocks. How might the first multicellular organisms have evolved? b. If complete genomes are replicated when cells divide, how can one account for different cell types in multi-cellular organisms? 5 10. (8 pts) Darwin and Alfred Wallace, the often neglected co-discoverer of natural selection, both imagined phyletic descent as a branching tree. By this, it is meant that any two living species have a unique common ancestor, and that, by extension, there is a universal common ancestor of all living species. Famous a. 'branching tree” sketch from Notebook B Does decent with (1837) was Darwin’s first attempt at illustrating his theomodification necessi- ry. From Shu, 2005. Guidtate a tree-like pat- ance to Reading 'On the tern of relatedness? Origin of Species'. Peking University Press. b. Why or why not? 11. (8 pts) Redraw Figure 20 under the assumption that the environment is never limiting, i.e., that reproduc- tion and survival rates do not change with increasing population size. Do superior descendant varieties still exterminate their ancestors? 6 12. (8 pts) Regarding altruistic behavior, i.e., acting in a way that benefits another individual’s fitness at cost to your own: a. Why is this a problem for the theory of evolution by natural selection? b. Give three reasons why altruistic behavior might nevertheless evolve. 13. (8 pts) As an example of unexpected relationships consequent to ecological complexity, Darwin (1859, pp. 73-74) argued that village cats can promote the abundance of red clover as shown below. Can you think of another example of complex ecological interactions that produce unexpected and/or important effects? 7 14. (2 pts) What do you think Darwin and Wallace might each have had to say about the “little yappers” (below) that infest retirement communities? “Real” dogs (left) and “rodent” dogs (right), both shown in their native habitats, share a common wolf-like ancestor. 15. (4 pts) Regarding William Paley. a. Who was he? b. What was his iconic example? c. In what way does the existence of vestigial structures such as the human coccyx, undercut Paley’s argument? 16. Male bighorn sheep contest with each other for mating privileges. Discuss the factors selecting for and against large horn size in this species. 8