29. Geologic Time It is not uncommon for people to think of time in two conceptually different ways and yet consciously distinguish between them only rarely. When inquiring about the time of mail delivery, we may be told that mail comes at 1:00 p.m., or that it arrives just after lunch. When we ask when a baby was born, the reply might be that she was born November 21 of last year or that she was born the week before Thanksgiving. In casual conversation, we would probably consider the two answers to each question essentially equivalent, but there is a difference. The first response in each example establishes the absolute timing of an event—a specific time or date. The second response in each establishes only a sequence of events; one identifiable event is followed by another, but the exact time or date of neither event is specified. Despite the immense span of time over which geologic events have been going on, they can be dated in the same two ways. We can say that a particular granite body is 17.2 million years old, or we can observe that it is younger than, say, some limestone layer in contact with it. In the first case, we must have carried out some experimental technique that has yielded a specific age for the granite; in the second, we have made some observations that confirm only that the limestone existed before the granite, although we do not know when either was formed. The first kind of determination is called absolute dating, and the second is called relative dating. Both are of great use in geology. Absolute dating requires expensive and sophisticated laboratory equipment and painstaking effort, but the techniques of relative dating can often be applied successfully by simple observation in the field. We shall begin our discussion of geologic time with relative dating. the erosional debris of older rocks, or of chemical precipitates or organic material; they have been formed as this sediment has been deposited in layers and buried. Metamorphic rocks have been significantly altered by intense heat and pressure; thus, they are modified preexisting rocks that are in essentially the same locations relative to their surroundings as before metamorphism. Given these basic definitions, most of the principles upon which relative dating are based are almost intuitive: (1) The Principle of Original Horizontality. Sediment is deposited in layers that are essentially horizontal (see Fig. 29.1), and thus the sedimentary rocks that form from them originate as essentially horizontal strata. If sedimentary rocks are tilted, folded, or otherwise deformed, we can assume with confidence that the deformation occurred after the deposition and lithification of the sediment. The Principles of Relative Dating A prerequisite to successful relative dating of rocks and geologic events is that we understand, in a rudimentary way, how rocks originate. Recall from Chapter 28 that igneous rocks are formed when molten material cools and crystallizes; thus igneous rocks are those that have been deposited on the surface of the earth by volcanic activity or those that have crystallized beneath the surface from molten magma that has been intruded into surrounding rock. Sedimentary rocks consist either of Figure 29.1. Sediment tends to accumulate in horizontal layers, even if initial layers cover irregularities in the surface. Recognition of this leads naturally to the Principle of Original Horizontality. (2) The Principle of Superposition. Consider Figure 29.2, which shows a sequence of sedimentary rocks in cross section (that is, a “cut- 279 away” view). If the rocks formed in the way that has been indicated above, then it is obvious that the layers at the bottom are older than the ones at the top. It is not necessarily true that deposition has been uninterrupted, however. Most sediment is deposited in bodies of water, so if this section of sedimentary rocks was at some time raised above sea level (by geologic forces that will be discussed in a later chapter), some layers that had previously existed might have been entirely stripped away by erosion before conditions allowed deposition to resume. We also assume in using this principle that the rocks are right side up; the same forces that can raise the earth’s crust can severely deform it, and if a sequence of rocks has been completely overturned, then failure to recognize that will lead to an erroneous result by application of the Principle of Superposition. dreds of kilometers with respect to the rocks on the other side, to small cracks in mineral grains as seen under a microscope. B A C Figure 29.3. In this cross section the rock sequence labeled A is truncated by the sequence labeled B, and fault C cuts through A but not B. The conclusion reached by applying the Principle of Cross-Cutting Relations is that the oldest feature is A because it is cut by both B and C; the next oldest is fault C, because it cuts A but not B; and sequence B cuts across both sequence A and fault C, so it must be the youngest of the three. (4) The Principle of Inclusion. One kind of rock cannot contain inclusions (fragments) of another kind unless the inclusions existed first. Inclusions are therefore always older that the rocks that contain them. Suppose that erosion exposed a sandstone that became weathered as it was exposed to the elements and then, subsequently, limestone sediment was deposited over that. Pieces of the sandstone that had become included in the limestone sediment would reveal that the sandstone was the older rock. This is a particularly useful way to determine if a sequence of sedimentary layers is right side up or overturned, as shown schematically in Figure 29.4. Figure 29.2. In this sequence of sedimentary strata, the oldest layers are those on the bottom, and the layers are progressively younger toward the top. This is the Principle of Superposition. (3) The Principle of Cross-Cutting Relations. If one rock unit cuts across or through another, then the one that is cut must have existed first and must, therefore, be the older of the two. The same is true of a fault, which must be younger than the rocks it cuts through. Figure 29.3 illustrates the principle, and no specialized geologic training is required to understand it. Even so, cross-cutting relationships can be very complex, and careful observation is often required to unravel a sequence of events. The principle can be applied at all scales, from faults that have moved rocks on one side hun- So far, we have determined that even quite complex geologic sequences can be deciphered by applying a few simple ideas. The remaining technique of relative dating involves fossils, and its application does require specialized training. Fossils will be discussed in some detail in Chapter 33; for now, it is necessary only to understand that they are the remains of once-living organisms and are found in many common sedimentary rocks. For many years during the late 18th and early 19th centuries, a British civil engineer named William Smith (1769-1839) worked around quarries and canals that had been excavated in the rocks of southern England. 280 Sandstone Limestone E D+E C+D+E C+E A+C A+B+C Figure 29.4. Even though these beds have been overturned by forces acting on the crust of the earth, the inclusions of sandstone in the limestone show the limestone to be the younger rock layer. A+B A He observed that the rock layers occurred in a consistent vertical sequence, that they contained fossils, and that the fossils in the various layers were different. His careful study enabled him to characterize the rock layers by the fossils found in them, so that if he were shown fossils obtained at the surface, he could predict not only what kinds of rocks would lie beneath the surface, but also how deep they would be. Over the subsequent century and a half, similar observations throughout much of the world have resulted in our fifth principle of relative dating: A B C D E Figure 29.5. A schematic illustration of the Principle of Faunal Succession. Arrows indicate the sedimentary layers in which each type of fossil is found and, therefore, the lengths of time during which each type of animal existed on the earth in this hypothetical location. By noting the types of fossils found at any given level, a relative age is determined. Depending on the lengths of time represented by various fossils, this age may be quite precise or only approximate. (5) The Principle of Faunal Succession. A fauna (flora) is a group of animals (plants) that are somehow associated, and the Principle of Faunal Succession holds that the assemblages of fossil animals (or plants) found in sedimentary rocks are diagnostic of the ages of the rocks. The fossil assemblages typically vary from the bottom to the top of a sequence of sedimentary rocks, because some of the organisms represented by the fossils became extinct while others evolved. Experience has shown that assemblages that disappear never reappear in younger (that is, more recent) rocks. Thus, for one trained in the science of paleontology (the study of fossils), it is possible to look at a group of fossils from a rock and determine, from the fossils alone, the age of the rock relative to rocks that contain different fossils. Figure 29.5 illustrates this principle. sils in a freshwater limestone does not suggest that those fossils are absent from rocks of the time period represented, but only that they are not present in freshwater limestones. Again, we shall consider fossils as a specialized topic in Chapter 33. Examples of Relative Dating With the exception of the Principle of Faunal Succession, you can apply the principles of relative dating to successfully determine a sequence of geologic events, despite the fact that you may never have had any geologic training beyond this sketchy introduction. All you must remember is that (1) sedimentary rock layers are essentially horizontal to begin with, (2) the ones at the bottom of an undisturbed sequence are oldest, (3) rocks cut by other rocks are the older of the two, and (4) rocks containing inclusions of other rocks are younger than those from which the inclusions came. Now consider Figure 29.6, which shows a hypothetical geologic cross section of a small part of the earth’s crust. Formations A and B consist of sedimenta- Fossils often reveal a great deal about the geologic environment in which a rock formed, and the paleontologist must consider the kind of rock being examined when searching for fossils. Failure to find marine fos- 281 1 D B 2 3 4 A 5 6 7 C Figure 29.6. Shown on the left is a hypothetical geologic cross section containing sedimentary formations A and B, igneous body C, and the erosional surface D. On the right is a series of “snapshots” depicting the geologic story told by the cross section. ry rocks, C is an igneous body consisting of solidified magma, and D is the present land surface, including the canyon. The geologic story told by the cross section is shown in the small illustrations on the right, each of which may be thought of as a “snapshot” taken after some significant event in the geologic history of this region. The “snapshot” in frame 1 shows formation A as originally deposited in essentially horizontal layers. This is followed in frames 2 and 3 by the folding and erosion of this formation. In frame 4, formation B is deposited on the erosional surface; and then, in frame 5, the entire section is tilted and a new erosional surface is carved. In frame 6 the magma is injected to form the igneous body, and finally the present erosional surface is developed in frame 7. The relative ages are clearly A, B, C, and D from oldest to youngest. Even sequences of events that have occurred on the moon or other bodies in the solar system can be deci- phered using the principles of relative dating. (Because the moon has never supported life, our lack of expertise with the Principle of Faunal Succession is no disadvantage to us there.) Figure 29.7 is a photograph of a lunar terrain in the region of Mare Humorum, the darkish oval just above center. Mare Humorum is a huge basin some 400 kilometers long made by meteor (planetesimal?) impact in the lunar southern highlands, the densely cratered lighter terrain surrounding the mare. Some of the larger craters cut across the margin of the basin, for instance at locations marked A. At locations marked B, lava that later filled the basin invaded and partially filled some of those craters. The fault marked C cuts through the lava flows. Small craters marked D are in the solidified lavas; close examination will reveal diffuse white patches on the lavas around some of them— material ejected from the impact sites, like the rays seen in Color Plate 13. From these observations, we can say 282 that the highlands must be oldest, followed by the Humorum basin. After creation of the basin, impact craters of moderate size continued to be formed in and around it, and then the mare lavas were erupted onto the floor of the basin and into some of these craters. Last, the faulting occurred, along with impacts yielding small craters. Because the fault and the small craters both cut the second-oldest feature, but do not come in contact with each other, we cannot tell which of the two came Quaternary Cenozoic Cretaceous Abundant grasslands Horses, elephants Abundant mammals Early primates Flowering plants First snakes Jurassic First birds Triassic Early mammals Dinosaurs Permian Mammal-like reptiles Tertiary Mesozoic Pennsylvanian Mississippian Paleozoic Devonian Silurian Ordovician Cambrian Early reptiles Flying insects Abundant amphibians Widespread forests First land vertebrates Abundant fishes Land plants Starfish, sea urchins Abundant marine invertebrates (corals, sponges, molluscs, etc.) Worms and other softbodied animals Precambrian Simple plants Figure 29.8. The Geologic Column, showing life forms typical of each era, as determined from the fossil record. first. Figure 29.7. The region of Mare Humorum in the lunar southern hemisphere. See the discussion in the text for an explanation. similarity (or dissimilarity) between modern life forms and the fossils in rocks of those ages. The Precambrian Era is characterized by very rare fossils—mostly impressions of soft-bodied creatures, single-celled organisms, and other very primitive life forms. The Paleozoic Era is characterized by abundant marine invertebrates; but fish, amphibians, and reptiles, as well as land plants, also appear in the fossil record of that era. Reptiles flourished during the Mesozoic Era (it was the age of the dinosaurs), but it also saw the emergence of birds, mammals, and flowering plants. We are now in the Cenozoic Era, and the fossils of those rocks, as well as presently living organisms, testify that it is the age of the mammals. Because the Geologic Column evolved conceptually over many years, before there were any techniques for determining the absolute ages of rocks, none of its developers knew how long any of the periods were or even whether they were all of the same length. They are shown in Figure 29.8 as if they were of equal duration, but we shall see later that this is far from the case. Even so, the use of fossils enabled geologists to identify rocks as, say, Mississippian in age, and know that they were therefore younger than Devonian rocks, even if there were no cross-cutting relationships or other relative-dat- The Geologic Column As the science of geology developed in the early 19th century, it became possible to define various arbitrary divisions of rocks by the fossils they contained. Often these divisions were given names based on geographic or historical features of the areas in which they were described. Thus Cambrian, Ordovician, Silurian, and Devonian rocks were named after the Roman name for Wales, two ancient British tribes, and the English county called Devonshire, respectively. Cambrian rocks were identified as those in which the earliest, very abundant fossils of marine invertebrates were found; the presence of certain key fossils identified other rocks as Ordovician, or Silurian, or Devonian, and so forth. Thus evolved the Geologic Column, shown in Figure 29.8. Note that the Geologic Column is divided into periods, which are grouped into four eras—the Cenozoic, the Mesozoic, the Paleozoic, and the Precambrian. The first three literally mean recent life, middle life, and ancient life, the names referring to the 283 ing indicators visible in the area. the common practice then of ascribing the earth’s surface features largely to one catastrophic event after another. Hutton’s contention that geologic processes were predictable consequences of immutable natural laws was popularized and spread by other authors as the Principle of Uniformitarianism, and in a form not too dissimilar to the one accepted by most geologists today: Uniformitarianism postulates that (1) natural laws do not change with time; (2) there is a cause-and-effect relationship between the laws and the geologic processes that operate on the earth; and (3) the rates of processes need not be considered constant because they are governed by physical conditions that may change, but understanding of the natural laws and the processes that result places realistic limits on those rates. The Principle of Uniformitarianism is often summarized as “The present is the key to the past,” meaning that geologic processes operating today have probably always operated in the same way; therefore, the study of those modern processes can lead to correct interpretations of ancient geologic features. While this conveys a generally correct impression of what uniformitarianism is all about, it is not entirely accurate. For instance, there is good reason to believe that the early atmosphere of the earth was quite unlike the atmosphere that presently surrounds us, and so some chemical reactions between atmosphere and rocks that occur today may not have occurred then and vice versa. Absolute Time While the principles of relative dating yield impressive results, they fail to answer some of the questions that are scientifically and philosophically the most interesting: When was this sediment deposited? When did that volcano erupt? How old is the earth? To answer questions like these requires more than determining a sequence of events, and we now proceed to consider absolute dates for geologic phenomena. People of virtually all civilizations have considered the earth to be ancient, but the precise meaning of that imprecise word has proved elusive. In 1654 Archbishop James Ussher proclaimed that the world had been created in 4004 B.C., a date calculated by analyzing genealogies from the Old Testament. (A short time later a Biblical scholar at Cambridge, Dr. John Lightfoot, identified the exact time of creation as 9:00 a.m. on October 26 in that same year!) A 6000-year-old earth may sound ancient, and in terms of human generations it is; but even from a scriptural viewpoint Ussher’s method is faulty because the measurement of Adam’s age presumably did not begin until after the creation was finished. Moreover, there is compelling evidence that the earth is very much older than that. The hardy bristlecone pines of Wheeler Peak, Nevada, show patterns in their annual growth rings that document over 9,000 years of continuous existence (although no single tree is that old). In the sedimentary Green River Formation of Utah and Wyoming, over six million years of annual lake deposits can be counted. That is a thousand times longer than the age Bishop Ussher advocated, but even six million years appears to be a substantial underestimate because relative dating techniques reveal that the Green River Formation is near the top of the Geologic Column. Early Estimates of the Age of the Earth Based on the Principle of Uniformitarianism, some interesting methods of estimating the age of the earth were devised during the 19th century. One method assumed the oceans were originally freshwater and the salt now present was produced by erosion and carried in by rivers. It further assumed that erosion rates had always been about constant, resulting in a calculated age of 90 million years for the earth. What was not appreciated at the time was that there are very thick beds of rock salt beneath the surface in many areas of the world, and this is salt not accounted for by measuring the salinity of the oceans. Evidently, this method produced estimates that were too small. Another approach was to estimate the total thickness of sedimentary rock that is present in the crust of the earth and then determine how long it would have taken to deposit that much sediment. It was assumed that rates of erosion and deposition had been relatively constant throughout the history of the earth, but there is no real basis for this assumption. Further, the estimates of total thickness varied widely, and there was no way to account for sedimentary rock that had been eroded and redeposited. Ages ranging from 3 million to 1500 million years were calculated by this method. Perhaps the most influential early estimate was Uniformitarianism Aside from the catastrophic events associated with volcanoes, earthquakes, or floods, geologic processes are almost imperceptibly slow, and you have probably taken little notice of the changes they bring. Yet the changes come as even the most sluggish processes relentlessly modify the earth. As James Hutton (17261797), a Scottish gentleman farmer with a geologic bent, contemplated erosion, deposition of sediment, and other natural processes, he realized that given sufficient time and the assumption that they also operated in the past much as he then saw them, these processes could account for all of the geology he saw about him. (You may recognize in this concept something reminiscent of the postulate of time symmetry introduced in Chapter 1, and, indeed, time symmetry is the basis for Hutton’s conclusions.) Hutton’s conclusion was in stark contrast to 284 made by Lord Kelvin (1824-1907), a British physicist. After assuming that the earth had originated in a molten condition, he did a rather straightforward calculation to determine how long would be required for it to cool to its present state. He had to estimate the thermal properties of the rocks in the interior of the earth (about which virtually nothing was known in those days), so his calculations were rough; but he concluded that the earth could not be much older than 100 million years. Further, his estimates of the temperature of the sun limited the duration of habitable conditions on earth to between 20 million and 40 million years. This baffled and worried geologists, who intuitively sensed that this estimate had to be far too short; but in the face of sound mathematics produced by a renowned scientist, their intuition was not convincing. In fact, there were two serious errors in Kelvin’s calculations, but he was not responsible for either of them. In the first place, radioactivity had not yet been discovered, so he was unaware that there are radioactive elements inside the earth that produce heat as they decay; thus, heat had not been lost as rapidly as he had supposed. Second, he assumed that the sun burned in a conventional way (that is, by combustion), because nuclear fusion had not yet been discovered either. Had he known about fusion, he would not have determined such a limited life span for the sun and the resulting short habitable time span on earth. The geologists were right about his results, but only later did they understand why. Number of half-lives elapsed 1 2 3 4 Percent of parent remaining 100 80 60 50% 40 25% 20 12.5% 6.25% 0 1.35 4.5 9.0 13.5 18.0 Number of billions of years elapsed Figure 29.9. The decay curve for 238U to 206Pb. Actually, by changing the number of years per half-life, the same curve could be used for the decay of any radioactive isotope. If we could determine that the fraction of parent remaining in a rock was 0.80, then the age of the rock would be 0.30 half-lives, or 1.35 billion years for the 206Pb clock. tope by changing only the time period corresponding to a half-life. The vertical axis of the decay curve shows the fraction of original parent isotope remaining. At “time zero” there is no daughter product yet, so the fraction is 1. After one half-life, the fraction is 1/2 because half of the original parent is left. Likewise, after two half-lives, the fraction is 1/4, and so on. If we had some way of determining how much uranium-238 there was in a rock originally and how much is left at present, we could divide the latter by the former to obtain the fraction. We could then draw a horizontal line from that value on the vertical axis, intersect the decay curve, and draw a vertical line from that intersection to the horizontal axis, where we would read the age of the rock. All of the information needed to perform this task can be obtained by experiment. The various isotopes of an element all behave identically in chemical reactions, so a chemical analysis for uranium and for lead would be insufficient. But we could analyze for each isotope by using a mass spectrometer (see Chapter 15), and that is exactly what is done. The total amount of parent isotope (uranium-238 in this example) originally present is determined by adding the amount of uranium-238 represented by its daughter product (lead-206) to the amount of uranium-238 currently in the rock. You may have recognized that this procedure requires the assumption that the rock, as originally formed, had no lead-206, so that all of that isotope now present can be ascribed to uranium decay. This assumption is not always valid, but there are ways (which are beyond the scope of this book) to determine how much Radiometric Dating In 1896, Antoine-Henri Becquerel accidentally exposed a photographic plate by placing a piece of uranium ore on top of it and thus introduced the scientific world to radioactivity. Radioactivity, you will recall from Chapter 24, is the spontaneous decay of unstable nuclei by any of several processes. It takes place at a rate that is unique but constant for each radioactive isotope. As experiment and observation revealed the nature of radioactive decay, it became apparent that it could be used as a geologic clock—a means of determining the age of a rock containing radioactive isotopes. Here is how. Consider the uranium isotope 238U, often written as uranium-238. It decays to a daughter product that is also radioactive, and which then decays to yet another radioactive isotope, and so on through a complex series of alpha and beta decays that finally arrive at lead-206, which is a stable isotope that undergoes no further decay. The entire 238U to 206Pb decay sequence has a half-life of 4.5 billion years. Given that a half-life is the time required for one-half of the amount of parent isotope present to decay to the daughter product, it is a simple exercise to construct the decay curve of Figure 29.9. This graph would work for any radioactive iso- 285 Table 29.1. Radioactive isotopes used in absolute dating of rocks. Parent isotope Daughter isotope Half-life (years) rubidium-87 thorium-232 uranium-238 potassium-40 uranium-235 carbon-14 strontium-87 lead-208 lead-206 argon-40 lead-207 nitrogen-14 47.0 billion 14.1 billion 4.5 billion 1.3 billion 713 million 5730 of the lead-206 is “original” and to correct for that. In order to be useful as a geologic clock, a radioactive isotope must meet certain requirements. First, it must have a sufficiently long half-life that the rocks still have a measurable amount of parent isotope in them. Second, the parent isotope must be relatively abundant in common minerals so that the rocks will contain enough of it to be useful. Several qualifying isotopes exist, and the most commonly used parents and daughters are listed in Table 29.1, along with their half-lives. The experimental procedures required to measure minute quantities of isotopes are demanding and difficult, and whenever possible, two or more “clocks” are used on the same rock to verify the results. You will observe that carbon-14 has a very short half-life compared to the other parent isotopes. It is different from the other clocks in other ways, too. It only works for dating objects that have once been alive. Carbon-14 is produced naturally in the atmosphere, and a living organism continuously replaces what decays. When the organism dies, however, the carbon-14 is no longer replaced, and the amount remaining reveals how long ago the organism died. After a few half-lives, there is not enough 14C left to measure accurately, so the method is limited to organisms that died within the last 70,000 years or so. It is thus not universally useful in geology but is well suited to archaeology and recent Cenozoic geology. Cenozoic Era Quaternary Period 0 2 Tertiary Period 66 Cretaceous Period Jurassic Period 208 Triassic Period Permian Period Pennsylvanian Period Mississippian Period Paleozoic Era Devonian Period Silurian Period 245 286 320 360 408 438 Millions of years ago 144 Mesozoic Era Ordovician Period 505 The Geologic Column Revisited Cambrian Period 570 With the ability to determine absolute ages of rocks, we are now almost ready to place ages on the Geologic Column and turn it into a quantitative tool. But first we have to ask ourselves the question, “What are we actually dating when we determine a radiometric age?” For igneous rocks, we are ideally determining time since crystallization from the magma or lava, and this corresponds to what we would likely have meant intuitively by “the age of the rock.” Some radiometric clocks are more sensitive to heat than others, though, so some will give us the time since the igneous body cooled below a certain temperature. This can be very Precambrian Figure 29.10. The modern geologic timescale. Absolute ages are obtained from radiometric dating, and the periods are shown with correct relative durations. 286 useful information, but we do have to understand the clocks well enough to properly interpret the “age.” Thus, the “age” of a metamorphic rock may be the time since the metamorphic event, not the time since the origin of the premetamorphic rock. A sedimentary rock generally consists of sediment from several sources, and so an “age” determined from such a rock would not mean very much. For these reasons, the types of rocks on which most of the Geologic Column is based—sedimentary rocks— are not the sort that can usually be used to find absolute dates for the time scale. However, by dating igneous rocks and noting their relative-dating relations to fossilbearing sedimentary rocks, it is possible to bracket the absolute ages within which the fossils lived. By continually refining the measurements, we can “zero in” on the absolute ages of key fossils and establish dates for the beginning and end of each of the geologic periods. Figure 29.10 shows the modern geologic timescale, with absolute dates and the lengths of the periods shown to scale. Considered together, all of this suggests that the solar system came into being about 4.6 billion years ago, and that is the current best estimate of the age of the earth. Summary Geologic time is measured in both relative and absolute terms. Absolute dating is more informative, but also more expensive, time consuming, and technically demanding. Relative dating is accomplished in essentially two ways: Either the principles of original horizontality, superposition, cross-cutting relationships, and inclusions are applied to determine a sequence of events, or the law of faunal succession is used by experts in paleontology. Absolute dating techniques have provided estimates for the ages of subdivisions of the Geologic Column, so that fossils may now be used to yield approximate absolute dates for the rocks in which they occur. Absolute (radiometric) dating, most often applied to igneous rocks, depends on the radioactivity of certain natural isotopes that occur in rocks. In order to be useful as a geologic clock, an unstable isotope must have a half-life sufficiently long that after substantial periods of time there is still enough left to measure accurately, and it must be abundant enough in rocks to allow accurate analysis of both parent and daughter product. A decay curve, in which the fraction of remaining parent isotope is plotted against the number of half-lives elapsed, can be constructed without reference to any experimental data at all. Once this is done and the fraction of parent material remaining in a given specimen is determined by experiment, the curve will yield the number of half-lives elapsed. Multiplying by the number of years per half-life for the given isotope (also determined by experiment) yields the age of the rock in years. There are various corrections that must be applied in practice, depending on which isotopes are being used, and usually agreement between dates obtained by two different methods is sought. Radiometric dating of terrestrial materials yields 3.8 billion years as the age of the oldest rocks and 4.2 billion years as the age of the oldest minerals (which now happen to be part of a younger sedimentary formation). Meteorites of the oldest kind consistently turn out to be 4.6 billion years old, as do the oldest rocks from the moon. Because it is likely that erosion and other processes that operate on earth have destroyed the earliest rocks of our planet, we take the age of the earth to be 4.6 billion years, the same as the moon and the meteorites. The Age of the Earth We return now to a consideration of the age of the earth. The oldest terrestrial minerals that have so far been radiometrically dated come from Australia and yield an age of 4.2 billion years. These minerals are part of younger sedimentary rocks now, but their presence testifies of rocks that existed on the earth at least 4.2 billion years ago. This establishes a lower limit on the age of the earth, but the planet could be much older than that because (1) erosion or other processes that modify the surface of the earth could have obliterated rocks older than that, and (2) there might be older rocks somewhere that have simply not yet been radiometrically analyzed. Meteors, you will recall from the last chapter, are pieces of rock that orbit the sun and frequently strike the earth. If they survive their fiery trip through the atmosphere and land on the surface, we call them “meteorites.” They are thought to be remnants from the formation of the solar system and to be of essentially the same age as the sun and planets. There are several types of meteorites, but the oldest ones turn out to be uniformly about 4.6 billion years old, as determined by radiometric dating. During the Apollo space program of the late 1960s and 1970s, men traveled to the moon and returned with samples of rock from its surface. Like the meteorites, there are differences between one lunar rock and another, and all are not the same age. As implied by Figure 29.7, the moon, like the earth, has a long and complex history; and we are not surprised that lunar rocks vary in age. The oldest ones, however, also yield radiometric dates of about 4.6 billion years. 287 STUDY GUIDE Chapter 29: Geologic Time 7. A. FUNDAMENTAL PRINCIPLES 1. Time Symmetry and Causality: See Chapter 1. Time symmetry and causality become the essential features of Uniformitarianism in this chapter. 2. Uniformitarianism: The idea that (1) natural laws do not change with time; (2) there is a cause-andeffect relationship between the laws and the geologic precesses that operate on the Earth; and (3) the rates of processes need not be considered constant because they are governed by physical conditions which may change, but understanding of the natural laws and the processes that result places realistic limits on those rates. 8. 9. 10. 11. B. MODELS, IDEAS, QUESTIONS, OR APPLICATIONS 1. How do many geologists view the importance of catastrophism and uniformitarianism in understanding the history of the earth? 2. What principles make it possible to determine the relative ages of geologic events? 3. What principle makes it possible to estimate the absolute age of a geological event? 4. What are the main conclusions reached about the geological and biological history of the earth after applying the principles of both relative and absolute dating? 5. When did the Precambrian Era begin and end? Paleozoic Era? Mesozoic Era? Cenozoic Era? What events mark these boundaries? 6. Are fossils rare? How are fossils preserved? What do fossils teach us? 12. 13. 14. 15. 16. 17. 18. 19. C. GLOSSARY 1. Absolute Dating: The determination of a specific time, age, or date in geologic history. 2. Cambrian Period: The beginning subdivision (period) of the Paleozoic Era. During the Cambrian period, life-forms began to flourish. Trilobites appear. 3. Catastrophism: The idea that geologic features are caused by unique cataclysmic events that are noncyclical and of relatively short duration in time. 4. Cenozoic Era: The era of the Geologic Column we are now in, characterized by mammals and flowering plants. The era began 66 million years ago. 5. Cross-Cutting Relations (Principle of ): A principle of relative dating which observes that if one rock unit cuts across or through another, then the one that is cut must have existed first and must therefore be the older of the two rock units. 6. Daughter Product: The isotope to which the 20. 21. 22. 23. 24. 288 radioactive parent isotope decays. Era: The Geologic Column is subdivided into eras; eras are subdivided into periods; periods are subdivided into epochs. Faunal Succession (Principle of): A principle of relative dating which observes that assemblages of fossil animals (fauna) or plants (flora) found in sedimentary rocks are diagnostic of the ages of the rocks. Extinct assemblages never reappear in younger, more recent rocks. Geologic Column: A division of rocks in the earth’s crust by age according to the fossils they contain. Igneous Rock: See Chapter 28. Inclusion (Principle of): A principle of relative dating which observes that inclusions (rock fragments) are always older than the rocks that contain them. Isotope: See Chapter 24. Mesozoic Era: The second-youngest era of the Geologic Column, characterized by reptiles and dinosaurs. This era lasted from 245 million years ago to 66 million years ago. Metamorphic Rock: See Chapter 28. Original Horizontality (Principle of): A principle of relative dating which observes that sediment is deposited in layers that are essentially horizontal when originally formed. Paleontology: The study of fossils. Paleozoic Era: The second-oldest era of the four eras in the Geologic Column, characterized by abundant marine invertebrates and fish. This era lasted from 570 million years ago to 245 million years ago. Parent Isotope: The original, undecayed radioactive isotope used in radiometric dating. Precambrian Era: The oldest era of the Geologic Column, characterized by very rare fossils, mostly impressions of soft-bodied creatures, single-celled organisms, and other very primitive life. This era began with the formation of the earth and ended 570 million years ago. Radioactive Half-Life: See Chapter 24. Radiometric Dating: Use of radioactive isotopes to determine the age of a rock by determining the ratio of parent isotope to daughter product and calculating, based on the parent isotope half-life, the time needed to obtain this ratio. Relative Dating: The establishment of a sequence of events without specifying an exact time or span of time in geologic history. Sedimentary Rock: See Chapter 28. Superposition (Principle of): A principle of relative dating which observes that, for rocks formed in layers, the bottom layers are older than the top layers, unless the sequence of rocks has been com- pletely overturned. 25. Uniformitarianism: Principles” above. See and lunar rocks affect our thinking about the age of the earth? “Fundamental 29.9. A fault that cuts through a sedimentary rock layer is (a) younger than that layer. (b) older than that layer. (c) either (a) or (b), depending on how the absolute dating turns out. D. FOCUS QUESTIONS 1. Consider the Geologic Column: a. Name and state in your own words five principles of relative dating. b. Sketch the Geologic Column showing the four eras and representative life forms found in the rocks of each era. c. Describe the general process of radiometric dating. d. Indicate on your sketch of the Geologic Column the absolute dates of the beginning of each era as determined from radiometric dating. E. EXERCISES 29.1. How are relative dating and absolute dating different in concept? 29.2. Which of the following choices is not used in relative dating? (a) radioactive isotopes (b) the Principle of Superposition (c) the Principle of Cross-Cutting relations (d) the Principle of Inclusion 29.3 If a sedimentary rock layer lies on top of a lava flow dated radiometrically at 44 million years, but is itself cut by an igneous body dated at 27 million years, its age (a) is less than 27 million years. (b) is more than 44 million years. (c) is the average of 27 and 44 million years, or 35.5 million years. (d) is between 27 and 44 million years. 29.4. Why are the geologic time periods not of equal length? 29.5. Explain how the same decay curve can be used for any radioactive isotope, regardless of the length of its half-life. 29.6. To be useful as geologic clocks, radioactive isotopes must be (a) extremely rare and have long half-lives. (b) extremely rare and have short half-lives. (c) fairly common and have long half-lives. (d) fairly common and have short half-lives. 29.7. What two factors limit the usefulness of carbon-14 dating in geology? 29.8. How do the radiometric ages of meteorites 289 290