| River | Drainage areas in square miles | Total tons annually | Ratio of sediment to water in weight | Height in feet of column of sediment with a base of 1 square mile |
|---|---|---|---|---|
| Potomac | 11,043 | 5,557,250 | 1: 3,575 | 4.0 |
| Mississippi | 1,244,000 | 406,250,000 | 1: 1,500 | 241.4 |
| Rio Grande | 30,000 | 3,830,000 | 1: 291 | 2.8 |
| Uruguay | 150,000 | 14,782,500 | 1:10,000 | 10.6 |
| Rhone | 34,800 | 36,000,000 | 1: 1,775 | 31.1 |
| Po | 27,100 | 67,000,000 | 1: 900 | 59.0 |
| Danube | 320,300 | 108,000,000 | 1: 2,800 | 93.2 |
| Nile | 1,100,000 | 54,000,000 | 1: 2,050 | 38.8 |
| Irrawaddy | 125,000 | 291,430,000 | 1: 1,610 | 209.0 |
| Babb. Science, Vol. XXI, p. 343, 1893. | ||||
We have also no record of the vast quantity of shallow water sediments that were stirred up by the penetration of storm waves, and carried to abyssal depths by the currents and tides.
Similar uncertainties beset us when we consider the rate of chemical denudation, that is, the rate at which salts have been dissolved from the lands and accumulated in the oceans, as a measure of geological time. Here, again, we take the total amount of salts that is in the oceans today and divide it by the present rate of annual supply. We know with reasonable accuracy the quantity of salts in the oceans and if it were possible to assume the present rate of supply to be a true mean for all geological time, a satisfactory age of the oceans might be obtained. But it cannot be assumed as such. An assumption of this nature will only lead us from the domain of exactness to that of uncertainty. Aside from various other factors, neither the area of the continents, nor their relief was in the past the same as today. Consequently, the stream gradient and its power of dissolving salts from the land surfaces have not been the same. It is also not known how much salt the ocean derived from the shore line and from beds beneath the ocean, nor how much of the rock-salt beds on the earth that has been precipitated out of ocean water.
It is plain, therefore, that the rate of any process that is controlled by so many conditions cannot be used (even making generous allowances for irregularities and inaccessible data) as a reliable guide to evaluate geologic time. “It is a clock,” says Harker, “which now hurries and now creeps or stands still, and it cannot be trusted as a timekeeper.”
Any estimate based on the temperature of the earth, or of the sun, encounters similar practical difficulties, for the temperature of a body may not be constant. It may rise or it may fall. Further, the rate of change of temperature is controlled by a variety of conditions, such as the amount of energy radiated, the supply of energy and so forth. Nor is there any record of the immense quantity of heat produced by igneous agencies and radio-activity.
Another estimate, one of the earliest, was based on the rate of life transformation in successive periods. The geological series were divided into twelve periods and it was believed that 20,000,000 years were required for an entire change in the species of each period, or 240,000,000 years in all. This does not include the time in which we have no record of plant or animal life.
There is no reasonable debate as to the passage of one species to another. It is clearly manifested in the succession of fauna found today all over the world in the sedimentary rocks. Even the most casual student of paleontology is convinced of this glaring truth. “The brutal cogency of a slab of fossils could be hated and fought, but could not be gainsaid.” But when we are confronted with the question of setting a standard of measuring geologic time by means of this paleontological record, more precisely, through this biological process, we cannot help pondering over the grave uncertainty of the result. When we fix our gaze upon a trilobite, a three-lobed, crab-like creature ([Pl. II fig. 1]) that ruled the seas in the dim days of the Cambrian period ([p. 11]) and see that it was equipped with gills and swimming organs, with powers of digestion and excretion, with specific organs of circulation and reproduction and with motor and sensory nerves, and compare it with one of its tribe, a present day horseshoe crab, ([Pl. II fig. 2]) we do not find any noticeable progress in structure, in intricacy or in the degree of specialization. Yet the time that has elapsed since the Cambrian is, according to a moderate estimate, nearly 600,000,000 years! ([p. 11]). Geologic record testifies that evolution awaits environmental change, that animals in some way adjust themselves to their environment, either by discarding or modifying old characters or by acquiring new ones. Yet, what are known as “immortal” types, such as the brachiopods, Lingula, Crania and Terebratula ([Pl. III figs. 1-3]) or the pelecypods, such as Pecten, Pinna and Arca ([Pl. III figs. 4-6]) or the gastropods, such as Pleurotomaria, Natica and Trochus ([Pl. III figs. 7-9]), have withstood all possible environmental changes and have steadfastly held their own ever since we have records of their very early appearance on earth. On the contrary, we have records of types that have yielded so rapidly to change that their evolution is almost explosive. It is almost incomprehensible how, within such a limited period of time, fishes have changed into amphibians, amphibians into reptiles, and reptiles into birds and mammals ([Pl. IV figs. 1-4]). With these conflicting evidences staring us in the face, with the knowledge that the entire organic world has been subject to earth-wide periods of long stagnation and rapid intensive change, one may well ponder whether it is within our power to establish a standard for measuring geologic time on the evidence of life transformation. The study of the succession of faunas—the change of one species to another, can only indicate the magnitude of time involved. It cannot afford any basis, whatsoever, for a concrete expression of geologic time.
During the last three decades, a number of radio-active changes of one chemical element into another have been discovered and studies of certain minerals and rocks containing various radio-active elements have created means to calculate their age with remarkable accuracy. “A study of the various radio-active elements contained in minerals and rocks,” says Harker, “has shown that it is possible, in certain favorable cases, to calculate directly their age in years.”
The radio-active minerals are commonly found in igneous rocks. They are widely distributed all over the world. The parents of the whole series of radio-active elements are uranium and thorium. They possess the highest atomic weights of all known elements. Each of these parental elements transforms itself through a succession of changes. The final product of uranium is the formation of the metal lead and the gas helium. These transformations take place in one direction only, that is, from an element of higher atomic weight to an element of lower atomic weight. It has also been demonstrated beyond question that these transformations are unalterable by any process whatsoever and that they are independent of temperature, pressure or any other physical or chemical state. Temperatures up to 2,500 C. and pressures up to 600 tons per square inch have not been found to influence the rate of transformation. Time estimated on the basis of these processes, therefore, offers a more reliable result than that obtained by any other method hitherto known. Detailed descriptions of how the metal uranium slowly and regularly breaks down in a descending series into the metal lead and the gas helium, will be found in the literature on radio-activity. For our purpose, it suffices to say that according to Barrell, an atom of uranium which breaks up will ultimately give rise as a stable product to eight atoms of helium and one atom of lead. Since the rate of transformation is known, data for calculating the age of the mineral and with it the rock formation of which it is a part, can be obtained by measuring the quantity of helium and lead in the rock and comparing it with the quantity of uranium in the same volume of material. But, as helium is a gas, it is likely that a certain portion of it leaks out and consequently the estimate of age on the basis of how long helium had been in contact with uranium and lead is to be regarded as a minimum estimate. For example, the age of the mineral thorianite that occurs abundantly in the sands and gravels of Ceylon has been estimated to be 280,000,000 years, but the mineral is doubtless much older, as, ever since it was broken away from its original home in the pegmatite dikes of Ceylon, it lay exposed to the action of weathering and it was, therefore, very likely that during all these years a certain percentage of its helium contents had leaked away.
But estimates based on the lead ratios of radio-active minerals offer results consistent among themselves. That is, whenever fresh, primary, uranium-bearing minerals of the same geological age have been examined, the lead ratios are always found to remain constant. The value of the ratios increases or decreases as the geological age of the respective mineral increases or decreases. In other words, the lead ratios are in keeping with the geological age.