Transitional Fossils

Some time ago, the Discovery Institute’s Casey Luskin commented on the human origins exhibit at the Smithsonian Institution, suggesting that palaeoanthropologists use evolutionary theory to describe the progression of the human lineage even when they don’t have transitional fossils with which to work. He writes:

What's ironic, however, is that if you ask the question How Do We Know Humans Evolved? the answer you’re given is, “Fossils like the ones shown in our Human Fossils Gallery provide evidence that modern humans evolved from earlier humans.” So whether you find fossils or you don’t, that’s evidence for evolution.

Indeed, it has become an article of faith for those espousing both the young earth creation (hereafter YEC) model and many who hold to the intelligent design model that transitional fossils do not exist and therefore evolution has not taken place. Support for this position usually entails attacking the weak areas of the fossil record, where burial processes have left us little with which to work, or the creation of straw men arguments in which transitional fossils are defined in such a way that none could ever be found. Often this centers on the concept of “missing link,” a term that is habitually used in the popular press and young earth creation and intelligent design literature when referring to fossil remains but which has little to no meaning for biologists or palaeontologists. As Ahlberg and Clack (Ahlberg and Clack 2006) write:

But the concept has become freighted with unfounded notions of evolutionary ‘progress’ and with a mistaken emphasis on the single intermediate fossil as the key to understanding evolutionary transitions. Much of the importance of transitional fossils actually lies in how they resemble and differ from their nearest neighbours in the phylogenetic tree, and in the picture of change that emerges from this pattern.

Contrary to common misconceptions, the fossil record does not record one single lineage for any family of organisms but rather a series of branches, with many related species coexisting synchronously. Darwin hypothesized that the evolutionary record reflected this bushiness and drew such a diagram in his journal. At the time, though, he had little in the way of fossil evidence to back up this position. Much has changed since his day.

An analogy for understanding this “bushiness” was best described by Prothero and Buell (Prothero and Buell 2007). They suggest that the reader consider his or her own genealogy. You and your siblings are the direct descendents of your parents and, while you are similar to them, each of you has different characteristics not shared with them as well as characteristics that you do share. Your parents have siblings as well (your aunts and uncles), and your grandparents are their last common ancestors. These siblings have their own children (your cousins), who have different and similar traits relative to their parents. They are broadly recognizable as being related to you (“oh, I see you have Aunt Edna’s nose”) but three or four generations out, they will become less and less so. These are the “nearest neighbours” that Ahlberg and Clack describe. In this analogy, each of these cousins represents a transitional form from what was (your grandparents) to what will be down the road.

For example, no one would confuse a frog with a salamander but if you trace the fossil record of each back in time, eventually you encounter a fossil, Gerobatrachus hottoni which was recently discovered (Anderson et al. 2008) that is best described as a “frogamander,” having the basal characteristics of both frogs and salamanders. Had we seen such an animal at the time, it is likely we would not have found it remarkable because it would have resembled the species around it. One lineage eventually diverged into frogs, salamanders and other amphibians. Most (just like Darwin proposed in his tree diagram with the little hatch marks at the tip of many branches) went extinct.

Taxonomy and the Beginnings of Human Origins

All life is classified based on a system devised by Carolus Linneaus in 1735 in his remarkable work Systema Naturae. This system gives all recognized species an individual place based on a system of hierarchy. The study of classification is known as taxonomy. A taxonomic ranking for humans would be this:

When a fossil is excavated, the first thing that the palaeontologist does is make a taxonomic assessment of where it fits in a sequence of known fossils. Traits that are shared with other like species or genera are referred to as primitive traits. Examples of this in humans are five fingers and the presence of three arm bones. We share this with all mammals. Traits that are new or are not shared with other like species are referred to as derived traits. Examples of this in humans are the skeletal changes in the pelvis and the foot to allow for walking upright. We do not share these with any other primates.

Transitional fossils in the human fossil record are distinguished at both the genus and species level. This group includes the extinct genera Ardipithecus and Australopithecus and the current genus Homo. All species except Homo sapiens are extinct. Much of the recent study of early humans focuses on the transition from Ardipithecus (‘Ardi’) to Australopithecus (‘Lucy’ and similar fossils) and from Australopithecus to Homo, the genus that led eventually to us. While each of the australopithecine species identified in the fossil record has derived characteristics that separate them from their ancestors and from each other, only one led to the genus Homo.

In future posts, I will describe the evidence for human evolution and why this evidence is compelling. It suggests that we have had a long, varied history filled with great leaps of change, crushing defeat, and eventual expansion into all areas of the globe.

Notes

Ahlberg, P. & J. Clack (2006) A firm step from water to land. Nature, 440.

Anderson, J. S., R. R. Reisz, D. Scott, N. B. Frobisch & S. S. Sumida (2008) A stem batrachian from the Early Permian of Texas and the origin of frogs and salamanders. Nature, 453, 515-518.

Prothero, D. & C. Buell. 2007. Evolution: What the fossils say and why it matters. Columbia Univ Pr.

Despite this usage, most of us know that randomness has something to do with probability, and that it often implies a lack of conscious intentionality. But what do mathematicians and scientists mean when they say something is random? Can a random process lead to an ordered, even predictable outcome? Is there evidence that God makes use of random processes to fulfill his creative purposes?

These are big questions, and we won’t address them all today. But I think randomness is an important topic to cover for two reasons: 1) it is integral to many processes in biology (and math, physics, chemistry, etc.), and 2) it is commonly misunderstood to be incompatible with Christianity.

As I said above, most of us know that randomness has something to do with probability. If you pick a card “at random” from a shuffled deck, you have a small probability of drawing an ace (4 out of 52, or a 7.7% chance). If you flip a coin, you have an equal probability of getting heads or tails.

Randomness also seems to imply a lack of intentionality or purposefulness. After all, you might hope for an ace when you draw a card, but you can’t choose one on purpose. You might call heads when you flip a coin, but you can’t know beforehand what the outcome will be. Thus the outcome is indeterminate, but is it purposeless? Not necessarily. Indeterminacy simply means the result cannot be predicted from the outset.

It should be noted that indeterminacy does not imply that God does not have foreknowledge of future events. Christians ought not to be uncomfortable with the idea of God interacting with his creation through chance. We often describe a seemingly-random (i.e. unplanned by us) sequence of events as being “providential,” or planned by God.

In biology, it is very hard or impossible to calculate precise probabilities for most processes, so when we say a process is random, we typically mean it is extremely unpredictable. Eventually we will discuss randomness within biological evolution, but first we must consider some simpler processes, like the self-assembly of a virus.

Viruses are remarkably efficient entities. Coiled tightly within a protein-based shell is a small amount of DNA needed for self-replication. The shell, called a capsid, is made of many repeating protein subunits and is therefore highly symmetrical (see figure). Important biomedical insights have certainly been gleaned from structural studies of viruses, but viruses also teach us about the emergence of order from non-order.

The virus life cycle has four main steps: 1) enter a host cell, 2) hijack the cell’s replication and translation machinery to make many copies of itself, 3) assemble into many virus particles, and 4) exit the cell to invade another host.

When I first learned about this process, I found it very hard to believe it just “happens.” The idea that a bunch of molecules bumping into each other inside a crowded cell could spontaneously assembly into a fully-functional virus seemed a bit far-fetched. Many viral capsids have over 100 protein subunits that must interact with each other in just the right way, or it won’t work. Surely there must be something driving this process, right?

There is! Random motion. I had to see it to believe it. I distinctly remember sitting in class during my first year of graduate school when the professor demonstrated self-assembly of a virus using a 3D model as shown in the following video. In less than 30 seconds, you can watch a jumbled heap of proteins become a beautifully ordered structure.

As the narrator explains, sub-assemblies form and break apart en route to the most stable structure, the full capsid. As the sub-assemblies begin to form, further associations with free subunits become more favorable and as a result occur rapidly, while the final steps may take considerably longer. While the subunits in the model are rigid, in reality the proteins take on multiple conformations, allowing the capsid to “breathe.”

Amazing as it is, the system we just considered—one virus capsid in a jar—is pretty simple. One wonders how self-assembly can happen in a crowded cell, where there are countless other molecules diffusing around, potentially getting in the way. We can’t directly see how it happens in a cell, but we can reconstitute the process in a test tube using different combinations of constituent molecules.

Consider two viruses, where each protein subunit in one virus is the mirror image of the corresponding subunit in the other. Putting the two viruses together by hand would be pretty tricky, because the constituent parts look so similar. But random motion can do the job in short order:

From this model, we can see clearly, in real-time, how distinct complex structures can arise from their parts randomly interacting with one another. Many large viruses also use special scaffolding proteins to assist in the assembly process, and some even use their own genomes as a scaffold. In addition, two closely-related viruses that happen to infect the same cell can exchange parts to create a new virus. This is one way viruses can evolve quickly to evade the host’s immune system.

Here we have seen how viruses demonstrate a principle inherent in God’s world—that order can emerge out of chaos from random processes. In my next post, we will look at some other biological processes that make use of—rather, depend on—randomness. This will set the stage for us to see that such processes can not only assemble a structure within seconds or minutes, but also generate complex, information-bearing molecules over billions of years. Even though the freedom inherent in nature sometimes produces unintelligently-designed structures (like viruses, which can kill us), we see that God has made, and continues to oversee by his providence, a good creation that, at least in part, is capable of creating itself.

Next weekend, we’ll continue this series about randomness and God’s divine will. Up next: how God created the body to heal itself, and how can random mutations can be both harmful and benign.

What does it mean for humanity to be created “from the dust of the ground?”

In many ancient Mesopotamian creation stories, human beings were depicted as deriving from some physical part of the gods. Often this was the result of conflict: humans arose from the blood, flesh or tears of gods slain by other gods. Humans created in this fashion were supposed to serve the gods by performing menial work that the gods had tired of doing themselves. The lot of humanity, then, was one of violence and servitude.

In the Israelite creation stories reflected in Genesis 1 and 2, however, humans are made from the ordinary material of creation: “dust.” Humans are made of earth-stuff, not god-stuff.

At first glance, it may seem that this lowers the status of the human creature. We might ask the question raised by Eliphaz in the book of Job:

Can a mortal be more righteous than God?
Can even a strong man be more pure than his Maker?
If God places no trust in his servants,
if he charges his angels with error,
how much more those who live in houses of clay,
whose foundations are in the dust, who are crushed more readily than a moth! (Job 4:17-19)

Indeed, our humble origins ought to remind us of the fragility of our lives. As the Psalmist says,

You turn people back to dust, saying, “Return to dust, you mortals.”
A thousand years in your sight
are like a day that has just gone by,
or like a watch in the night.
Yet you sweep people away in the sleep of death—
they are like the new grass of the morning:
In the morning it springs up new,
but by evening it is dry and withered.

The elements of which our bodies are made are ordinary and abundant. Science tells us that approximately ninety-three per cent of the mass in a living human body is comprised of elements first formed through nuclear fusion in the hearts of stars. Through almost unimaginably vast and ancient cycles of stellar formation and supernova explosions, this “stardust” of elements has been spread throughout the universe. It is as though God scattered the stars across space and time to seed the universe for life, including your life and mine. And we are thereby inseparably connected to each other, to the air we breathe, to the ground we tread, to all the creatures that fill the skies and crawl upon the earth and teem in the seas, to the depths of all the heavens. We are not transcendent of creation. We are creatures.

Yet we are creatures into which God breathed the “breath of life.” We are stardust and more than stardust. We are not reducible to our constituent chemicals. A “man” or a “woman” is not just a gooey sack of water, carbon and trace elements. Hydrogen, oxygen and carbon are not aware of their own existence. These elements cannot reason or pray or love or write poems. Conjunctions of these elements cannot carry any persistent identity across time. They do not exercise will or intentionality or agency. They are not “selves.”

Most of the cells in a human body are in constant flux: aging, dividing, dying, being replaced. The surface layer of human skin is renewed completely about every two weeks. An adult’s skeleton is entirely remade over approximately ten year periods. It may be that only the neurons of the cerebral cortex and a few other types of cells persist throughout the lifetime of a human body. And eventually, it all does return to “dust.”

Yet we think of ourselves as persisting over time, as comprising an “identity,” a “self.” Perhaps the cerebral cortex provides the stable biological platform for identity and selfhood, but something new emerges from the chemical-electrical soup, new patterns of organization, a different level of causation. We can even make choices that reshape ourselves, both physically and psychologically. The very wiring of our brains changes when we make conscious choices. Mind is both shaped by matter and supervenes on matter.

Materialists who wish to collapse all of human identity into brain chemistry overstep the bounds of “science.” A fundamental principle of scientific practice is testability: is it possible to demonstrate empirically whether a proposition is false ? As Saint Augustine observed many centuries ago, the fact that I acknowledge I could be “wrong” about something means that I am a “self” who is capable of making real choices about things that are in fact true or false. “Si fallor, sum” Augustine said – if I can doubt, if I can be wrong, then I must exist. One who is a true materialist “all the way down” cannot test his or her materialism. There is no possibility of “being” right or wrong, indeed no possibility of “being” – there is nothing but chemistry.

Spiritualists who wish to degrade matter in favor of the soul or spirit likewise are not expressing a Christian anthropology. Indeed, one of the first heresies that encountered the early Christian church was Gnosticism. A core belief of Gnosticism was that matter, including the human body, was essentially evil. Salvation for the Gnostics involved the soul’s escape from the prison of embodiment and materiality. The Gnostics treated the body either with disdain – engaging in extreme ascetic practices – or with antinomian abandon – engaging in extreme sexual license. Either way, their practices were rooted in the belief that matter and the body were unimportant. It’s easy to see how this view continually creeps into both our popular culture and our Church cultures.

Christian theology asserts that humans are spiritual creatures, a unity of body and spirit or “soul,” integrated, not reducible downwards to mere matter or upwards to mere spirit. Perhaps there is no better way to bring these themes together than with a Psalm — here is Eugene Peterson’s paraphrase of Psalm 139 in The Message:

God, investigate my life; get all the facts firsthand.
I’m an open book to you;
even from a distance, you know what I’m thinking.
You know when I leave and when I get back;
I’m never out of your sight.
You know everything I’m going to say
before I start the first sentence.
I look behind me and you’re there,
then up ahead and you’re there, too—
your reassuring presence, coming and going.
This is too much, too wonderful—
I can’t take it all in!

Is there any place I can go to avoid your Spirit?
to be out of your sight?
If I climb to the sky, you’re there!
If I go underground, you’re there!
If I flew on morning’s wings
to the far western horizon,
You’d find me in a minute—
you’re already there waiting!
Then I said to myself, “Oh, he even sees me in the dark!
At night I’m immersed in the light!”
It’s a fact: darkness isn’t dark to you;
night and day, darkness and light, they’re all the same to you.

Oh yes, you shaped me first inside, then out;
you formed me in my mother’s womb.
I thank you, High God—you’re breathtaking!
Body and soul, I am marvelously made!
I worship in adoration—what a creation!
You know me inside and out,
you know every bone in my body;
You know exactly how I was made, bit by bit,
how I was sculpted from nothing into something.
Like an open book, you watched me grow from conception to birth;
all the stages of my life were spread out before you,
The days of my life all prepared
before I’d even lived one day.

The Denisovans, an extinct hominid group that interbred with modern humans, made the news again lately with the publication of a more detailed study of their genome. One of the many interesting findings was that the Denisovans share the same chromosome 2 fusion that modern humans have. In this post, I review what we know about the origins of human chromosome 2, and then discuss the new Denisovan findings and their implications.

The origins of human chromosome 2: a brief review

Though I have discussed the evidence for a fusion event leading to human chromosome 2 before, perhaps a brief review of the evidence is in order. The human genome is made up of 23 pairs of chromosomes (for a total of 46 chromosomes). This makes us something of an oddity among living great apes, all the rest of whom have 24 pairs of chromosomes (for a total of 48). Given that there are many independent lines of evidence that support the conclusion that we share a common ancestor with other great apes, this poses something of a conundrum: how is it that our species arrived at this specific chromosome number? If we were to represent this “problem” on a phylogeny, or tree of relatedness, it would look something like this (not to scale):

Our closest living relatives, chimpanzees and bonobos, both have 48 chromosomes, as do all other great apes such as gorillas and orangutans. This pattern has one of two explanations, one of which is much more likely than the other. Either the common ancestor to these species had 48 chromosomes, and there was an event that reduced that number to 46 specifically on the lineage leading to humans (option A), or the common ancestor species had 46 chromosomes, and there were independent, repeated events that increased chromosome number in all other great ape species (option B). We can compare these options by placing the required event(s) on the phylogeny (again, not to scale):

It should be obvious that the option that requires the fewest events is the more likely one – in this case option A with an event that reduces chromosome number in the lineage leading to humans. The other option, that of repeated, independent events to increase chromosome number, remains a formal, but unlikely, possibility. Events that reduce chromosome number are not frequent occurrences, so Option A is more likely than Option B.

We can also find further support for Option A, because it predicts a specific type of event, namely one that reduces chromosome number. Since loss of a large amount of chromosomal material is almost always detrimental, we need an event that reduces chromosome number without losing information. One way for this to happen is for two chromosomes to fuse together and become one. Initially, this event would produce an individual with 47 chromosomes, where two different chromosomes get stuck together. Contrary to what is often assumed, this individual would be fertile and able to interbreed with the others in his or her population (who continue to have 48 chromosomes). In a small population, over time, two relatives who both have one copy of the fusion chromosome may mate and produce some progeny with two copies of the fused chromosome, or the first individuals with 46 chromosomes. Since either a 48-pair set or a 46-pair set is preferable for ease of cell division, this population will either eventually get rid of the fusion variant (the most likely outcome), or by chance will switch over completely to the “new” form, with everyone bearing 46 chromosome pairs. While not overly likely, this type of event is not especially rare in mammals, and we have observed this sort of thing happening within recorded human history in other species. Some mammalian species even maintain distinct populations in the wild with differing chromosome numbers due to fusions, and these populations retain the ability to interbreed.

Further evidence for a fusion event in the lineage leading to modern humans comes from comparing synteny, or gene locations and orders on chromosomes within modern great apes – an issue we have discussed here before. In brief, what we see in human chromosome 2 is exactly what we would predict for a fusion event. When compared to other great apes, we see the genes on human chromosome 2 match up, in order, with two smaller ape chromosomes. We also see that sequences used at the tips of chromosomes are present at the proposed fusion site, and that human chromosome 2 has not one but two sites for the cell cytoskeleton to attach to for cell division – but that one of the sites is mutated and not functional, though it lines up precisely with the location of this site on the appropriate ape chromosome. Together, this evidence consistently supports both common ancestry for humans and great apes, and specifically that the difference we see in our chromosome numbers arose due to a single fusion event. I briefly discussed this evidence in my last post where I describe how I teach some of this material and the compelling impact it has on students exploring the evolution question for the first time.

Enter the Denisovans

With that as background, we are now prepared to appreciate a new finding that comes from genomics work done on the Denisovan hominids, an archaic species that is more closely related to Neanderthals than to us, but that nonetheless interbred with some anatomically modern humans as they migrated out of Africa and populated the globe. (For those not familiar with the Denisovans, or the evidence for our interbreeding with them, both Darrel Falk and I have written on this previously, here and here). Recently, a more detailed understanding of the Denisovan genome was published, and nested in the new information is the discovery that the Denisovans share the 46 chromosome set with the same fusion that we have. This strongly supports the hypothesis that the fusion event predates the separation of our species. If we were to represent this on a phylogeny, we can now place this event with more accuracy than before (as before, the phylogeny is not to scale):

Despite this new information, one obvious question remains. Did the Neanderthals also have the 46-pair set? From looking at the phylogeny above, we can see that the most likely answer is that they did, since the fact that the Denisovans had it strongly implies that the last common ancestor of humans and Neanderthals / Denisovans had it as well, and the Neanderthal-Denisovan split comes later. While the Denisovan DNA samples are of high enough quality to make this assessment, we do not yet have Neanderthal DNA of high enough quality to do the same analysis with current methods (though one additional feature of the new work on the Denisovan genome is developing more sensitive DNA sequencing techniques that may resolve this question in the future).

In other words, this fusion seems to be an ancient one, predating our species by several hundred thousand years. Present estimates of the last common ancestor between humans and Neanderthals / Denisovans range at about 800,000 years ago.

Implications for understanding our “becoming human”

The main implication from this work is that it places the fusion event well before the advent of our species. I’ve often chatted informally with Christians about evolution, and at times some have thought that this fusion event was what “started” our species, or made our species unable to interbreed with other groups. Some have even suggested that perhaps the fusion event was what produced the first human (i.e. Adam).

Note that thinking this way suggests a misunderstanding of how chromosome fusions occur and what effect they have on their hosts. A fusion does not precipitate a speciation event, but rather the individual with the fusion remains a part of his or her population, and able to interbreed, even if with reduced fertility. Also, there is no necessary biological effect or change that the fusion produces on the appearance of the organism. These misunderstandings aside, however,what this new evidence shows is that this fusion event took place long before modern humans arose at around 200,000 years ago. Indeed, the 800,000 years ago date for the last human - Denisovan common ancestor means that this is the most recent date possible for the fusion. While it is an interesting piece of our evolutionary history, it doesn’t seem to have much to do with how we came to acquire the traits that set us apart from, and ultimately outcompete, other similar species.

Suppose a man falls among thieves, or wild beasts; is shipwrecked at sea by a sudden gale; is killed by a falling house or tree. Suppose another man wandering through the desert finds help in his straits; having been tossed by the waves, reaches harbor; miraculously escapes death by a finger’s breadth. Carnal reason ascribes all such happenings, whether prosperous or adverse, to fortune. But anyone who has been taught by Christ’s lips that all the hairs if his head are numbered [Matt. 10:30] will look further afield for a cause, and will consider that all events are governed by God’s secret plan.

In this passage, Calvin presents belief in “fortune” as evidence of carnal reasoning, and statements like this one have contributed to a widely-held notion that modern scientific understandings of the role that randomness plays in nature is inconsistent with belief in divine providence. In other words, if “randomness” equals blind and capricious “fortune,” then how can God be said to be working all things to his ends?

But Calvin could not have known of the very different understanding of randomness held by today’s scholars. Physical scientists, mathematicians, and statisticians have not yet agreed on a single unambiguous definition of the term “randomness,” but among these scientists, the term consistently refers to a family of related concepts focusing on unpredictability of the outcomes of single events and the absence of pattern in sequences of outcomes. I like this statement by John Polkinghorne, “Chance doesn't mean meaningless randomness, but historical contingency. This happens rather than that, and that's the way that novelty, new things, come about.” In Polkinghorne’s view, chance is an agent of creativity and can be perceived as being purposeful.

In fact, there are abundant examples of phenomena in nature in which randomness plays a role one could understand as being purposeful. For example, osmosis is a marvelous mechanism that enables all 10 trillion cells in our bodies to be nourished – it depends on the random motion of molecules. The human immune system is able to defend the body against attacks from millions of different microorganisms using a relatively small number of building blocks and random combinations of these to fashion defenses specific to each adversary. We never take a breath and find it to be all nitrogen or carbon dioxide – random motion of molecules keeps oxygen close to uniformly distributed throughout the atmosphere.

In 2007, a British statistician, David Bartholomew published God, Chance, and Purpose in which he argues that God “can have it both ways”—that he can use low level randomness to accomplish divine purposes while simultaneously maintaining order at a higher level. Of course, we cannot prove that God ordained these random processes to achieve divine purposes in the world. But to a person of faith, such an interpretation in both consistent with the observations we make in science and with the Scriptural notion of God’s providential care for the world.

Considerations like these led the John Templeton Foundation to provide a generous grant of $1.69 million to support a new research initiative on the theme of Randomness and Divine providence. Beginning this past summer, the program has the purpose of providing support for solid theoretical exploration of the kinds of ideas and possibilities expressed above—involving theology, philosophy, natural science, mathematics, and statistics. The grant will support individual scholars and teams of scholars who are willing to devote a significant amount of time between March of 2013 and June of 2015 to such work, and the project’s request for proposals suggests the following as questions researchers might pursue:

• How might God work providentially through indeterminate processes? Can recent advances in understanding the nature of randomness offered by algorithmic information theory, physics, biology, and other sciences provide insight into this question?
• Can we bring clarity to the concept of "randomness"? Philosophers and scientists have tried on occasion to give precise definitions of when a process is random, but more work needs to be done on the question. How do (or should) conceptions of randomness vary across academic disciplines?
• What are some possible implications of randomness for hiding or unfolding divine creativity and purpose in the world? Could God use randomness to (1) generate creativity, (2) hide divine actions, or (3) unfold information? Why might God do so?
• How might we identify and come to understand a significant collection of nondeterministic processes in which agents could intentionally employ randomness to bring about purposeful results?
• How might we mathematically and physically model random processes in ways that help us understand how divine providence could be exercised in a "chance-governed" world?
• How do "laws and orders" in nature interplay with "chance and randomness" in bringing about results that can be interpreted as aspects of divine providence?
• Might randomness be evidence of limitations in human knowledge but nothing more? Or might it be evidence of ontological indeterminism? Might this be tested?
• What implications does randomness have for aspects of God’s relationship with the physical world such as God’s relationship to time and God’s role in causation? How might randomness be reconciled with God’s foreknowledge?
• How might an understanding of providence based on an extended Molinism and/or open theology incorporate randomness? For example, could an extended Molinism provide a plausible account of the relationship between quantum mechanics and divine providence?
• What are some theodical implications of randomness, particularly for the issue of natural evil?
• How have the theological traditions of Augustine, Maimonides, Aquinas, Luther, and Calvin addressed chance and fortune? In what ways might they incorporate ontological randomness?
• How do or could religions other than the Judeo/Christian tradition understand and incorporate randomness?
• How is the concept of randomness understood by advocates of secularism, naturalism, and new atheism? What are the strengths and weaknesses of these usages?
• How might an understanding of randomness in the world alter our conceptions of divinity, especially our understanding of divine providence?

Despite the range of issues mentioned above, research is by no means restricted only to these topics. In fact, the structure of the program is designed to foster collaboration and build community between scholars, with the end of expanding the range and integration of their work: two conferences will be held to bring scholars together with each other and then with members of the public—one at Calvin College in 2013 and the other at Fuller Theological Seminary in 2015. To get more information and to learn how to submit a proposal, see the project website; then join us in exploring the truth that all creation glorifies God—even randomness!

In my previous essay, I discussed “Darwin’s finches” and how surprisingly little Charles Darwin himself had to say about them. In fact, it was actually the British ornithologist David Lack (1910-1973) who conducted the critical research that immortalized the finches in biology textbooks and popular lore. In 1973, the eminent German zoologist Ernst Mayr wrote:

Already well known among professional ornithologists, his work on the Galapagos finches gave David Lack world fame… There is no modern textbook of zoology, evolution or ecology which does not include an account of his work.¹

Ernst W. Mayr

Decades have passed since Mayr wrote these words, and David Lack’s name has largely faded from public discourse. On the other hand, the Galapagos finches have become one of the most recognized symbols of evolution in the world today. Does it really matter whether Lack or Darwin gets credit for describing the evolution of these remarkable birds?

Insofar as evolutionary theory contrasted with religious belief, it makes a big difference. In a culture that is eager to equate evolution with atheism, it should come as no surprise that these birds are only known as “Darwin’s finches”. Darwin’s personal struggles and ultimate rejection of Christianity are well documented, and people are eager to link his loss of faith to his evolutionary theory. David Lack, on the other hand, began his scientific career as an agnostic, but shortly after publishing his famous book on the evolution of Galápagos finches, he converted to Christianity! ²

A Christian at the forefront of evolutionary biology

Lack’s Christian conversion did not mark the end of his scientific achievements, either. In fact, he continued as a prolific researcher until just weeks before he died. Among his many achievements, he was Director of the Edward Grey Institute of Field Ornithology (1945-1973), Fellow of the Royal Society, and President of both the International Ornithological Congress (1962-66) and the British Ecological Society (1964-65). His fellow scientists held him in great esteem:

He was described as one of the most outstanding among world ornithologists; he was certainly this, but he was also one of the world’s leading evolutionists. All the time one saw developing his use of birds as material for the study of wider, deeper, biological problems.³

David Lack at the International Ornithological Congress, 1962.

Clearly David Lack was an outstanding scientist, and his commitment to Christianity did not tarnish, hinder, or undermine his research on evolution. But we might also ask, what was Lack like as a Christian? Did he keep his faith hidden from view, afraid that it might compromise his reputation as a scientist? Ernst Mayr, who interacted with David Lack professionally and personally for nearly 40 years, had this to say:

I have known only few people with such deep moral convictions as David Lack. He applied very high standards to his own work and was not inclined to condone shoddiness, superficiality and lack of sincerity in others. This did not always go well with those who preferred to compromise in favour of temporary expediency. David had been raised in an environment in which great stress was layed on moral principles and this attitude was later reinforced by his Christian faith. This explains his extraordinary unselfishness and modesty, and his great devotion to his family, to his students, to his friends, and to all the things that he lived for. The equanimity, indeed serenity, with which he faced death after his terminal cancer had been diagnosed is further evidence of the strength which his faith gave him.⁴

Like Asa Gray⁵ before him, and Francis Collins⁶ after, David Lack was an sincere, devout Christian, as well as a leading scientist who employed evolutionary theory to make brilliant discoveries about the natural world. Though Lack did not see any conflict between his scientific and Christian beliefs, he was sympathetic to the concerns of his fellow Christians. Therefore, ten years after publishing his masterpiece on Darwin’s Finches, Lack wrote another book entitled Evolutionary Theory and Christian Belief: The Unresolved Conflict.

Originally published in 1957, this book deals with the very same science and faith questions that Christians struggle with today— topics like randomness and chance, death in nature, miracles, and evolutionary ethics. While it would be unreasonable to expect anyone to completely resolve these matters, Lack offered numerous insights both as a devout Christian and one of the world’s leading biologists.

Let’s take a brief look at how Lack addressed some of these questions.

Blind Chance or Divine Plan?

Evolutionary theory does not invoke supernatural forces in explaining the history of life on Earth; instead, it relies on naturally-occurring processes to account for the vast diversity of life. Additionally, it explains animal behavior largely in terms of survival and reproduction, without appealing to any higher purpose of life. Taken together, does this imply that God is absent, and that our lives are ultimately meaningless?

David Lack responded,

Behind the criticism that Darwinism means that evolution is either random or rigidly determined lies the fear that evolution proceeds blindly, and not in accordance with a divine plan. This is another problem that really lies outside the terms of reference of biology. It is true that biologists have inferred that, because evolution occurs by natural selection, there is no divine plan; but they are being as illogical as those theologians whom they rightly criticize for inferring that, because there is a divine plan, evolution cannot be the result of natural selection.⁷

When rendering judgment on the ultimate meaning of life, biologists are speaking from their person beliefs, not from scientific authority. Moreover, Lack pointed out that many science enthusiasts have employed the concept of “randomness” in ambiguous and misleading ways:

Mutations are random in relation to the needs of the animal, but natural selection is not. Selection, as the word implies, is the reverse of chance.⁸

In support of his view, Lack pointed out that convergent evolution has produced uncanny resemblances between distantly-related species across the world, notably among marsupials in Australia. Different evolutionary trajectories can lead to very similar results.⁹

Death in Nature

After addressing concerns about the seeming “randomness” of evolution, Lack turned to another great concern, the role of death in natural selection:

Various writers–some Christian and others agnostic–have been troubled about natural selection not only because it seems too random, but also because it is so unpleasant.¹⁰

Image courtesy John Marsh Photography via Flikr

Genetic mutations are generally harmful, and for evolution by natural selection to produce new forms of life, an awful lot of organisms must die. For many Christians, it is inconceivable that a loving and merciful God would allow death on such a vast scale.

But Lack also pointed out that rejecting evolutionary theory doesn’t actually get rid of the problem of death. Regardless of what we think about evolution, the brute fact of mass extinction remains. Fossils of innumerable animals, plants, and microorganisms clearly demonstrate that the vast majority of species that have ever lived are now dead. It may be quite troubling for us to observe that our planet is a giant graveyard of natural history, but rejecting evolution will not change this fact.

Some Christians conclude that death could not have been part of the divine plan; instead, it must be the work of the devil, or the result of human sin. But this interpretation contains an implicit assumption that death is always evil. Is this really true? David Lack offered two intriguing insights:

Blue-cheeked Bee-eater (Merops persicus) pair in
courtship, seen in Basai, Gurgaon, India.
Image courtesy Koshy Koshy.

1. For a population to maintain a stable size, all births must be balanced by a corresponding number of deaths. A world in which no animals die is a world in which no animals are born. That means no reproduction, no courtship, and by implication, no singing birds—much to the dismay of ornithologists and people in love!

2. Some people, taking cues from Isaiah 11:6-7, suppose that in a perfect world, animals only eat plants. But in fact, plants themselves depend on the bacterial decay of dead organisms. If animals didn't die, then essential nutrients would disappear from the ground, and plants could not continue to grow. Eventually, there would be nothing left for animals to eat, and all life would cease.¹¹

Miracles

Many Christians are uncomfortable with evolutionary theory because it denies a miraculous, supernatural origin of life. They fear that if those miracles are denied, it might lead people to reject the possibility of miracles altogether, including the central feature of the Christian faith—the resurrection of Jesus from the dead.

As a devout Christian, David Lack certainly affirmed the fundamental tenets of the gospel. But at the same time, he explained to his readers that invoking miracles to account for unusual features of the natural world is not particularly helpful when trying to deepen our understanding of God’s great multitude of creatures:

[The biologist's] research depends on repeated observations. It need not, as popularly supposed, consist solely, or even mainly of measurements and experiments, but unless events are repeated, they cannot be assessed by science. Hence truly unique events come outside the domain of science, though biologists are not usually convinced when told they must, therefore, leave such problems as miracles to others. For one of the chief ways in which research has advanced is through the discovery of apparent exceptions to the known rules, and if further study shows the exceptions to be replicable, new regularities are revealed from which modified rules can be propounded. This method has been so successful that the biologist tends to doubt whether there are any types of irregularity, or seeming irregularity, that will not yield to it.¹²

But just because a scientist cannot repeat a particular event doesn’t mean it didn’t happen. Both natural history and human history contain unique events that only happened once. As we peer into the past, the difficulty of discerning fact from fiction inspires us to further investigate the mysteries that surround us.

Conclusion

David Lack’s book Evolutionary Theory and Christian Belief was quite insightful, but his enduring achievements took place in evolutionary biology, a place where many Christians are afraid to tread. While it is significant that he himself found no contradiction between his faith and his science, perhaps the greatest testament to the compatibility between Christian faith and evolution is the life he led as a believer in both. As we saw in Ernst Mayr’s candid praise, Lack reflected the light of Christ through both his personal and his professional relationships.

Today, many voices in our culture still insist that evolution is incompatible with a sincere faith in Jesus, but a careful look at history demonstrates otherwise. In the future, perhaps more people of faith will have confidence to study biology knowing that one of the most iconic symbols of evolution—the Galapagos finches—owe their fame in large part to a devout Christian named David Lack.

Notes

1. Mayr (1973) “David L. Lack.” Ibis: 433.
2. Larson, E. J. Evolution's Workshop: God and Science on the Galapagos Islands. New York, Basic Books, 2001: 218. See also Lack, David. (1973) “My life as an amateur ornithologist.” Ibis: 431.
3. Alister C. Hardy (1973). "David L. Lack." Ibis: 436.
4. Mayr (1973) “David L. Lack.” Ibis: 433.
5. For more about Asa Gray, see the BioLogos FAQ “How have Christians responded to Darwin’s Origin of Species?”
6. See Francis Collins’ autobiography The Language of God: A Scientist Presents Evidence for his Belief (New York: Free Press, 2007) (book info)
7. Lack, David. Evolutionary Theory and Christian Belief: The Unresolved Conflict. Methuen & Co., 1957: 67.
8. Lack, p65.
9. For more on convergent evolution and the possibility that evolution could be compatible with some form of divine purpose, see the work of Simon Conway Morris, especially The Deep Structure of Biology: Is Convergence Sufficiently Ubiquitous to Give a Directional Signal? Templeton Press, 2008.
10. Lack, p72.
11. Lack, pp75-76.
12. Lack, p82.

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For more, be sure to read our FAQs How are the ages of the Earth and universe calculated? and What scientific evidence do we have about the first humans?, as well as our recent infographic How Do We Know the Earth is Old?.

Author's Note from Joy Walters

As I mentioned in my first post, I grew up skeptical of the whole idea of evolution. One contributor to my disbelief was the lengthy timescale for the “tree of life” that was presented with the theory. I would hear, for example, that dinosaurs lived hundreds of millions of years ago, but there was no explanation of why this was true; it was just given as a fact. No one explained the methods of dating, and so I thought biologists simply estimated the ages of species to fit their preconceived notions of how long it would take for one species to emerge from another. It also seemed like the ages were periodically revised and extended farther back in time, and I figured scientists needed to manipulate numbers to make evolution plausible. This, in my mind, made the theory both unbelievable and dismissible.

Once I learned about the techniques used to date fossils, I realized that my first impressions were wrong; the ancient ages of species are scientific determinations rather than scholarly conjectures. However, I have found in recent conversations that Christians remain skeptical of old ages and the evolutionary time scale. For this reason, I wanted the videocast to address the process of fossil dating (what the methods are and why they are accurate) while focusing on cases where hominid fossils were discovered and dated using these very methods. My hope is that Believers would be informed about the evidence for human evolution and its scientific grounding.

For more, be sure to read Randall Pruim's recent series Randomness and God’s Governance, Kathryn Applegate's post That's Random: A Look at Viral Self-Assembly, and our FAQ How Do Randomness and Chance Align with Belief in God's Sovereignty and Purpose?.

Author's Note

I am so thankful that I grew up in a Christian environment, which both kindled and nurtured my relationship with Jesus Christ. The Biblical instruction I received from my parents, pastors, and teachers has been invaluable as I walk out my love for the Lord from day to day. However, there was one specific topic growing up which was not fully addressed, namely evolutionary theory.

Coming from a conservative Christian background, evolution was given little or no thought because of its seeming contradiction to the creation story in Genesis. To me, evolution meant a monkey became a human, and as far as I knew, I had never seen that happen! So, of course, it appeared too improbable to hold any truth. When it was discussed, an inadequate picture of its ideas was often painted, which caused immediate suspicion and rejection of the theory. I don’t think this was intentional, but most Christians have never learned an unbiased, in-depth theory of evolution that is completely detached from societal agendas and philosophical conclusions. Therefore, their explanations of the theory are often misinformed.

My senior year of high school, I took AP Biology, and finally learned the scientific reasoning supporting this theory. I was surprised by how logical and obvious the mechanisms of change (such as mutations, natural selection, genetic drift, and so on) were that gave rise to new species. My subsequent response was, “No wonder people believe evolution occurred.” At that point, I was convinced that microevolution (evolution within a species) existed, but I was still questioning macroevolution.

Now, being at Point Loma Nazarene University as an undergrad in the Biology-Chemistry major and a year-round, student intern at BioLogos, my understanding of evolution has expanded enormously. I have enjoyed critically thinking through the evidence for evolution and reading articles that tackle difficult issues at the interface of science and Christian faith. Ultimately, I know that God has created all things, but the processes he used surpass my small understanding.

My personal wrestling with evolution and quest for truth has led to times of prayer and studying God’s Word, which has deepened my love for him in ways I cannot express. The first chapters of Genesis, in particular, have come alive. My whole life, the creation story was a straightforward list of facts about the creation of the world; I never searched further. I didn’t even perceive the truths Genesis declared over my very identity and God’s character. The more I study his Word and handiwork, I glimpse the awesomeness and majesty of the Creator, who loves me much more than I know. There is still so much to learn, but I am confident that he will lead me into all truth as I seek him out.

I desire to give others the opportunity to see evolution accurately and to distinguish it from the traditional, philosophical, and personal conclusions that too often cloud the scientific theory. I believe these conclusions alienate Christians from evolution more than the scientific theory itself. Ultimately, I do not mean to convince someone about evolution, but simply to give them the freedom to understand it.

Therefore, my goal for this podcast is two-fold:

• First, to offer a new perspective on randomness within natural processes that removes its negative connotations (especially as it relates to evolution).
• Second, to expose why evolution is powerless to support conclusions beyond the physical realm.

This will hopefully encourage others to study evolutionary theory and draw their own conclusions about its meaning in the framework of their faith.

Many of the games I enjoyed playing involve a combination of strategy and randomness: card games of various sorts, backgammon, and board games like Monopoly and Parcheesi. Some games that rely exclusively on chance (like War and Candy Land) or too heavily on chance (like Sorry) quickly became uninteresting to me. In fact, for Sorry, War, and several other games, I introduced additional rules to change the balance of strategy and luck—for example, by allowing each player to hold a hand of cards rather than merely flip a card and follow its bidding.

When my children were young, I played many games with them, especially those involving some amount of chance. I always play to win, so games of pure strategy like chess gave me too great an advantage—at least when they were still young. I still remember the first time I played the German game Mitternachtspartie with my children and some of their cousins. The game uses a die on which the number 5 has been replaced with the image of Hugo the ghost. Each player rolls the die and moves one of his figures the specified number of squares, unless Hugo is rolled, in which case Hugo moves instead.

I quickly worked out the expected distance Hugo would move for each of my turns and the expected number of squares I would get to move my own figures each turn. Using that information, I could strategically place my figures in the opening portion of the game. I fully expected to win this first game, since my young children were going to have to learn from experience what I already knew by the mathematics of probability. I lost—badly. As it turned out, the die had two Hugos on it. So compared to my expectations, Hugo moved twice as often, and my figures moved slightly less far. That combination turned the carefully calculated positioning of my figures into a disaster.

From Fun and Games to Science

I still enjoy playing games, including games that involve chance. But these days I encounter randomness even more often in my profession. I was trained as a mathematician and now work at the intersection of mathematics, statistics, and computer science. Like many scientists, I use randomness on a daily basis as part of our toolkit for modeling and investigating all sorts of phenomena. Models known as stochastic models, which explicitly incorporate random components, often via simulation in computer software, are used to model everything from diffusion to genetics to quantum mechanics. Insurance companies and financial institutions use stochastic models to manage risk. If we include all the applications of statistics, then almost no area of science is untouched by the use of randomness.

Most of the time, scientists and game players alike don’t devote much thought to just what makes randomness tick. But they both know that the better they understand the probabilities, the more successful they are. Nevertheless, if you ask many of them what it means for something to be random, they may struggle to put it into words. I won’t try to give a precise definition either, but it is important that we have some idea what we are talking about, so let’s consider one of the prototypical examples of randomness: the tossing of a fair coin.

If I flip a coin, the result could be heads or tails. Until I flip the coin, I don’t know which it will be. In this sense, the coin toss is unpredictable. If the coin is fair, each result is equally likely, so while I cannot say in advance whether a particular result will be heads or tails, I can say something about a large number of flips: approximately half should be heads and the other half tails.

A little mathematics even allows me to determine a range around 50% in which the percentage will almost surely lie. For example, if I flip a fair coin 1,000 times, the percentage of heads will most likely be between 45% and 55% (where “most likely” means a 99% chance). If the percentage of heads lies outside this range—especially if it is quite far outside this range—I am going to be suspicious that the coin flipping process is not fair. That’s one of the key ideas in statistics: not only can we calculate the frequency with which an event occurs, but we can compare data to a stochastic model to see if they are compatible or incompatible.

There are several interesting things we can learn by considering a coin toss. First, probability calculations rely on assumptions. If the assumptions are incorrect, then the probability calculations will also be incorrect. For example, if the coin is biased (such as one that is heads 60% of the time), but we assume it is fair, then the probability calculations given above will be wrong. Of course, if the assumptions are not too far from correct, the results may still be sufficiently accurate for scientific conclusions. If we have an appropriate way to collect data, then we can test our assumptions by comparing data to projections made based on the assumptions.

Second, “random” does not imply “equally likely.” A fair coin should have equal probabilities of heads or tails, but a biased coin is no less random. It’s just different. It is not as simple to handle arithmetically as a situation in which all outcomes are equally likely, but it is not otherwise special. It is a common mistake to assume random events are equally likely when they are not (or when that assumption is not justified).

Third, randomness is about the process. It is a fun experiment to flip a penny 100 times, then spin a penny 100 times and record the side that is showing when it finally tips over, then to stand the penny on end (this takes a steady hand and a little practice) and record which side is showing after pounding the table. These are three different processes, and they do not yield the same results.

Fourth, random processes produce patterns. I sometimes ask my students to mentally flip a coin and record the results as a sequence of letters (e.g., “HTTHHTHT”). Then I have them actually flip a coin and record the results. If the sequences are long enough, I can almost always tell them which is which. The sequences imagined by the students tend to have too few runs of consecutive heads or tails. The sequences based on real coin flips usually include several heads in a row. People not familiar with randomness are often surprised at the patterns that result and assume that the process must not have been random when they perceive a pattern. Our eyes and minds are drawn to similarities and patterns—even those that are produced purely randomly. This can lead us to draw false conclusions from coincidences of all sorts.

Consider the image in Figure 1. It was constructed using a computer to randomly throw 300 darts at a square board. Every position on the board was equally likely to be hit by a dart. This does not, however, mean that the dots are evenly spaced. There are 100 smaller squares. The average is three dots per square. But your eye is likely drawn to some clusters and voids. My eye also catches a graceful downward swoop in the lower part of the upper left quarter. All of this is exactly what we should expect from this random process. If we repeated this experiment, we should expect similar results. Several of the smaller squares would be empty and some others would have two or three times the average number of dots, but these clusters and voids would appear in different places.

Finally, randomness can be used to produce patterns intentionally. Consider the two pictures in Figure 2. You may think the two pictures are identical, but they are not. However, they were each constructed using the same random process:

1. Start at the lower left corner of the big triangle.
2. Randomly choose one of the three corners of the big triangle.
3. Move half way to that corner, placing a dot at the new location.
4. Repeat steps 2 and 3, 50,000 times.

The first few steps of this process for each image are illustrated in Figure 3. Although the final images look very similar, the route taken to get there is very different. In fact, the only point the two images have in common is the starting point. As the creator of the program that generated these images, I knew full well that the result would resemble a fractal image known to mathematicians as Sierpinski’s Triangle, even though I did not know or exercise any control over how the individual points would be selected.

Despite our familiarity with children’s games and the importance of stochastic models throughout the sciences, many Christians have a reaction to randomness that falls somewhere between uneasy and antagonistic. And yet, those same Christians may well watch the evening news to learn about public opinion polls forecasting upcoming elections, take prescription drugs approved by the FDA based on statistics found in clinical trials, obtain electrical power from a nuclear power plant that uses random fission reactions, and insure their cars with companies that rely on stochastic models to set the rates. The foundation of each of these activities is a thorough understanding of randomness that begins with the simple description above.

So where does the uneasiness come from? Likely it comes from the feeling that taking randomness seriously means not taking God seriously. Or put more strongly, it comes from a fear that believing in randomness means not believing in God. Next week we’ll address that problem by asking the question, “Could God use randomness to achieve his purposes?”

Many posts on this Forum have suggested that the cosmological narrative in Genesis 1 is best read as being primarily about God’s identity and agency, rather than about the physical make-up or material history of the natural world. Similarly, we demonstrate our highest regard for Genesis 2’s account of the creation of Eve—the second fully human being—by looking to its meaning in terms of spiritual and interpersonal relationships, rather than genetic ones. While the specific “how” of our being made into the image of God will probably always remain a mystery, the Bible and creeds are clear on the “why” of our creation: we were made to worship the Lord, and be in relation with Him and each other. That intimate, conscious and deeply symbolic knowledge of our maker and fellow human beings is a profound difference that sets us apart from the other creatures.

I have frequently argued that poets are often the most clear on some of the important issues of our faith, including this one. Today we feature a work by Robert Siegel, who identifies the imagination as the faculty by which we recognize and name those spiritual relationships. As he says, “It's the imagination, hence language and art, that establishes the connections”; it is the imagination that allows us to conceive of and name the links between ourselves and creation, ourselves and each other, ourselves and the Creator God.

Though we often focus on Adam’s naming of the animals, and then even of Eve, Siegel helps us remember that it was in hearing his own name that Adam’s whole humanity came into being: he experienced the richness of being called by God to bear His likeness, but also of being called to by one that was profoundly “like him.” Put another way, we are speakers, but also equally hearers. May we, too, be awakened to ourselves and our image-bearing identity by a still, soft voice saying our name. May we, too, in gratitude and delight, call upon the name of the one, Jesus, who is both our God and our fellow man.

“Adam’s Dream”

by Robert Siegel

The Imagination may be compared to Adam's dream:
he awoke and found it truth. --Keats

He saw the garden spreading past the trees
he'd been warned to avoid (yet keep a special eye on).
He'd learned by scents, transported by the breeze,
myriads of roses and how, by hand, the scion

of one to graft on another--and what was edible:
whole families of legumes, grasses, roots,
melons, peaches, apples, pears. Incredible,
the variety of tastes just from the fruits!

But it wasn't enough. Even the breathing animals
with friendly grunt or sigh, silken warm side,
and large affectionate eye were not able
to speak. When he named them, none replied:

His words fell dead on the air--though he said
them everywhere, walking or running to each place:
to the mountain, which echoed back the sounds he made,
or the still pool, returning his own gaze.

But no one answered him until one night in a dream
he woke and heard a soft voice speak his name.

“Adam’s Dream” first appeared in issue 3 of Stonework, the literary journal of Houghton College. © 2001 Robert Siegel

Robert Siegel is the author of nine books of poetry and fiction, most recently A Pentecost of Finches: New and Selected Poems. He has received prizes and awards from Poetry, Prairie Schooner, The Transatlantic Review, the Ingram Merrill Foundation, and the National Endowment for the Arts, and his poems have appeared in numerous journals and anthologies. His fiction includes Alpha Centauri and the Whalesong trilogy, which received the Golden Archer and Matson awards. With degrees from Wheaton, Johns Hopkins, and Harvard, Siegel has taught at Dartmouth, Princeton, and Goethe University in Frankfurt, and for twenty-three years at the University of Wisconsin-Milwaukee, where he directed the graduate creative writing program and is currently professor emeritus of English. He is married to Ann Hill Siegel, a photographer, and lives on the coast of Maine.