39. _Migration of the Atlantic-Ohio divide_.--There are certain shifted

courses which cannot be definitely referred to any particular cycle,

and which may therefore be mentioned now. Among the greatest are those

by which the divide between the Atlantic and the Ohio streams has been

changed from its initial position on the great constructional Nittany

highland and Bedford range. There was probably no significant change

until after Newark depression, for the branches of the Anthracite river

could not have begun to push the divide westward till after the

eastward flow of the river was determined; until then, there does not

seem to have been any marked advantage possessed by the eastward

streams over the westward. But with the eastward escape of the

Anthracite, it probably found a shorter course to the sea and one that

led it over alternately soft and hard rocks, instead of the longer

course followed by the Ohio streams over continuous sandstones. The

advantage given by the greater extent of soft beds is indicated by the

great breadth of the existing valleys in the central district compared

with the less breadth of those in the plateau to the west. Consider the

effect of this advantage at the time of the Jurassic elevation. As the

streams on the eastern slope of the Nittany divide had the shortest and

steepest courses to the sea, they deepened their valleys faster than

those on the west and acquired drainage area from them; hence we find

reason for the drainage of the entire Nittany and Bedford district by

the Atlantic streams at present. Various branches of what are now the

Alleghany and Monongahela originally rose on the western slope of the

dividing range. These probably reached much farther east in pre-Permian

time, but had their headwaters turned another way by the growth of the

great anticlinal divide; but the smaller anticlines of Laurel ridge and

Negro mountain farther west do not seem to have been strong enough to

form a divide, for the rivers still traverse them. Now as the

headwaters of the Juniata breached the eastern slope of the

Nittany-Bedford range and pushed the divide westward, they at last

gained possession of the Siluro-Devonian monocline on its western

slope; but beyond this it has not been possible for them yet to go. As

the streams cut down deeper and encountered the Medina anticline near

the core of the ridge, they sawed a passage through it; the Cambrian

beds were discovered below and a valley was opened on them as the

Medina cover wore away. The most important point about this is that we

find in it an adequate explanation of the opposite location of

water-gaps in pairs, such as characterize the branches of the Juniata

below Tyrone and again below Bedford. This opposite location has been

held to indicate an antecedent origin of the river that passes through

the gaps, while gaps formed by self-developed streams are not thought

to present such correspondence (Hilber). Yet this special case of

paired gaps in the opposite walls of a breached anticline is manifestly

a direct sequence of the development of the Juniata headwaters. The

settling down of the main Juniata on Jack's mountain anticline below

Huntingdon is another case of the same kind, in which the relatively

low anticlinal crest is as yet not widely breached; the gaps below

Bedford stand apart, as the crest is there higher, and hence wider

opened; and the gaps below Tyrone are separated by some ten or twelve

miles.

When the headwater streams captured the drainage of the Siluro-Devonian

monocline on the western side of the ancient dividing anticline, they

developed subsequent rectangular branches growing like a well-trained

grape vine. Most of this valley has been acquired by the west branch of

the Susquehanna, probably because it traversed the Medina beds less

often than the Juniata. For the same reason, it may be, the West Branch

has captured a considerable area of plateau drainage that must have

once belonged to the Ohio, while the Juniata has none of it; but if so,

the capture must have been before the Tertiary cycle, for since that

time the ability of the West Branch and of the Juniata as regards such

capture appears about alike. On the other hand, Castleman's river, a

branch of the Monongahela, still retains the drainage of a small bit of

the Siluro-Devonian monocline, at the southern border of the State,

where the Juniata headwaters had the least opportunity to capture it;

but the change here is probably only retarded, not prevented entirely;

the Juniata will some day push the divide even here back to the

Alleghany Front, the frontal bluff of the plateau.

[Illustration: FIG. 26.]

40. _Other examples of adjustments_.--Other examples of small

adjustments are found around the Wyoming basin, fig. 26. Originally all

these streams ran centripetally down the enclosing slopes, and in such

locations they must have cut gullies and breaches in the hard

Carboniferous beds and opened low back country on the weaker Devonians.

Some of the existing streams still do so, and these are precisely the

ones that are not easily reached by divertors. The Susquehanna in its

course outside of the basin has sent out branches that have beheaded

all the centripetal streams within reach; where the same river enters

the basin, the centripetal streams have been shortened if not

completely beheaded. A branch of the Delaware has captured the heads of

some of the streams near the eastern end of the basin. Elsewhere, the

centripetal streams still exist of good length. The contrast between

the persistence of some of the centripetal streams here and their

peripheral diversion around Broad Top is a consequence of the

difference of altitude of the old lake bottoms in the two cases. It is

not to be doubted that we shall become acquainted with many examples of

this kind as our intimacy with rivers increases.

41. _Events of the Quaternary cycle_.--The brief quaternary cycle does

not offer many examples of the kind that we have considered, and all

that are found are of small dimensions. The only capturing stream that

need be mentioned has lately been described as a "river pirate;"[23]

but its conquest is only a Schleswig-Holstein affair compared to the

Goth- and Hun-like depredations of the greater streams in earlier

cycles.

[Footnote 23: Science, xiii, 1889, 108.]

The character of the streams and their valleys as they now exist is

strikingly dependent in many ways on the relation of the incipient

quaternary cycle to the longer cycles of the past. No lakes occur,

exception being made only of the relatively small ponds due to drift

obstruction within the glaciated area. Waterfalls are found only at the

headwaters of small streams in the plateau district, exception again

being made only for certain cases of larger streams that have been

thrown from their pre-glacial courses by drift barriers, and which are

now in a very immature state on their new lines of flow. The small

valleys of this cycle are shallow and narrow, always of a size strictly

proportional to the volume of the stream and the hardness of the

enclosing rocks, exception being made only in the case of post-glacial

gorges whose streams have been displaced from their pre-glacial

channels. The terraces that are seen, especially on the streams that

flow in or from the glaciated district, are merely a temporary and

subordinate complication of the general development of the valleys. In

the region that has been here considered, the streams have been seldom

much displaced from their pre-glacial channels; but in the northwestern

part of the State, where the drift in the valleys seems to be heavier,

more serious disturbance of pre-glacial courses is reported. The facts

here referred to in regard to lakes, falls, gorges, terraces and

displaced streams are to be found in the various volumes of the Second

Geological Survey of the State;[24] in regard to the terraces and the

estuarine deflections of the Delaware and Susquehanna, reference should

be made also to McGee's studies.[25]

[Footnote 24: Especially Carll, Reports I_{3}, I_{4}; White, Reports

G_{5}, G_{6}; Lewis, Report Z.]

[Footnote 25: Amer. Journ. Science, xxxv, 1888, 367, 448; Seventh

Annual Rep. U. S. G. S., 1888, 545.]

42. _Doubtful cases_.--It is hardly necessary to state that there are

many facts for which no satisfactory explanation is found under the

theory of adjustments that we have been considering. Some will

certainly include the location of the Susquehanna on the points of the

Pocono synclines under this category; all must feel that such a

location savors of an antecedent origin. The same is true of the

examples of the alignment of water-gaps found on certain streams; for

example, the four gaps cut in the two pairs of Pocono and Pottsville

outcrops at the west end of the Wyoming syncline, and the three gaps

where the Little Schuylkill crosses the coal basin at Tamaqua; the

opposite gaps in pairs at Tyrone and Bedford have already been

sufficiently explained. The location of the upper North Branch of the

Susquehanna is also unrelated to processes of adjustment as far as I

can see them, and the great area of plateau drainage that is now

possessed by the West Branch is certainly difficult to understand as

the result of conquest. The two independent gaps in Tussey's mountain,

maintained by the Juniata and its Frankstown branch below Tyrone are

curious, especially in view of the apparent diversion of the branch to

the main stream on the upper side of Warrior's ridge (Oriskany), just

east of Tussey's mountain.

43. _Complicated history of our actual rivers_.--If this theory of the

history of our rivers is correct, it follows that any one river as it

now exists is of so complicated an origin that its development cannot

become a matter of general study and must unhappily remain only a

subject for special investigation for some time to come. It was my hope

on beginning this essay to find some teachable sequence of facts that

would serve to relieve the usual routine of statistical and descriptive

geography, but this is not the result that has been attained. The

history of the Susquehanna, the Juniata, or the Schuylkill, is too

involved with complex changes, if not enshrouded in mystery, to become

intelligible to any but advanced students; only the simplest cases of

river development can be introduced into the narrow limits of ordinary

instruction. The single course of an ancient stream is now broken into

several independent parts; witness the disjointing and diversion of the

original Juniata, which, as I have supposed, once extended from Broad

Top lake to the Catawissa basin. Now the upper part of the stream,

representing the early Broad Top outlet, is reduced to small volume in

Aughwick creek; the continuation of the stream to Lewistown is first

set to one side of its original axial location and is then diverted to

another syncline; the beheaded portion now represented by Middle creek

is diverted from its course to the Catawissa basin by the Susquehanna;

perhaps the Catawissa of the present day represents the reversed course

of the lower Juniata where it joined the Anthracite. This unserviceably

complicated statement is not much simplified if instead of beginning

with an original stream and searching out its present disjointed parts,

we trace the composition of a single existing stream from its once

independent parts. The Juniata of to-day consists of headwaters

acquired from Ohio streams; the lake in which the river once gathered

its upper branches is now drained and the lake bottom has become a

mountain top; the streams flow around the margin of the lake, not

across its basin; a short course towards Lewistown nearly coincides

with the original location of the stream, but to confound this with a

precise agreement is to lose the true significance of river history;

the lower course is the product of diversion at least at two epochs and

certainly in several places; and where the river now joins the

Susquehanna, it is suspected of having a superimposed course unlike any

of the rest of the stream. This is too complicated, even if it should

ever be demonstrated to be wholly true, to serve as material for

ordinary study; but as long as it has a savor of truth, and as long as

we are ignorant of the whole history of our rivers, through which alone

their present features can be rightfully understood, we must continue

to search after the natural processes of their development as carefully

and thoroughly as the biologist searches for the links missing from his

scheme of classification.

44. _Provisional Conclusions_.--It is in view of these doubts and

complications that I feel that the history of our rivers is not yet

settled; but yet the numerous accordances of actual and deductive

locations appear so definite and in some cases so remarkable that they

cannot be neglected, as they must be if we should adhere to the

antecedent origin of the river courses.

The method adopted on an early page therefore seems to be justified.

The provisional system of ancient consequent drainage, illustrated on

fig. 21, does appear to be sufficiently related to the streams of

to-day to warrant the belief that most of our rivers took their first

courses between the primitive folds of our mountains, and that from

that distant time to the present the changes they have suffered are due

to their own interaction--to their own mutual adjustment more than to

any other cause. The Susquehanna, Schuylkill, Lehigh and Delaware are

compound, composite and highly complex rivers, of repeated mature

adjustment. The middle Susquehanna and its branches and the upper

portions of the Schuylkill and Lehigh are descendants of original

Permian rivers consequent on the constructional topography of that

time; Newark depression reversed the flow of some of the transverse

streams, and the spontaneous changes or adjustments from immature to

mature courses in the several cycles of development are so numerous and

extensive that, as Löwl truly says, the initial drainage has almost

disappeared. The larger westward-flowing streams of the plateau are of

earlier, Carboniferous birth, and have suffered little subsequent

change beyond a loss of headwaters. The lower courses of the Atlantic

rivers are younger, having been much shifted from their Permian or

pre-Permian courses by Newark and Cretaceous superimposition, as well

as by recent downward deformation of the surface in their existing

estuaries. No recognizable remnant of rivers antecedent to the Permian

deformation are found in the central part of the State; and with the

exception of parts of the upper Schuylkill and of the Susquehanna near

Wilkes-Barre, there are no large survivors of Permian consequent

streams in the ordinary meaning of the term "consequent." The shifting

of courses in the progress of mature adjustment has had more to do with

determining the actual location of our rivers and streams than any

other process.

Harvard College, June, 1889.

TOPOGRAPHIC MODELS.

BY COSMOS MINDELEFF.

Of the many methods by which it has been sought to represent the relief

of a country or district, only two have been at all widely used. These

methods are, in the order of their development, by hachured and by

contoured maps. Both have advantages and both have serious

disadvantages. Without entering into the controversy that is even yet

raging over the relative merits of the two systems, some slight notice

of what each claims to accomplish is necessary.

The representation of relief by hachures is a graphic system, and in

the best examples we have is an attempt to show, upon a plane surface,

the actual appearance of a given area under given conditions of

lighting,--as in the Dufour map of the Alps. Of course certain details

that would really disappear if the assumed conditions were actual ones,

must be shown upon the map,--so that it is, after all, but a

conventional representation. The very best examples are, for this and

other reasons, unsatisfactory, and far more so is this the case in the

vastly larger class of medium grade and poor work.

The contour system represents relief by a series of lines, each of

which is, at every point throughout its length, at a certain stated

elevation above sea-level, or some other datum-plane; in other words,

each contour line represents what would be the water's edge, if the sea

were to rise to that elevation. It possesses the advantage of great

clearness, but fails to a large degree in the representation of surface

detail; moreover, one must have considerable knowledge of topography,

in order to read the map correctly.[1]

[Footnote 1: For specimens of representation of the same subject on

different scales, in both the hachure and contour systems, see plate

from "Enthoffer's Topographical Atlas."]

To those who must give first place to the quantity of relief rather

than the quality, as, for example, the geologist or the engineer, a

contoured map is now considered essential. On the other hand, where

quality of relief is the prime consideration and the quantity a

secondary one, as, for example, for the use of the army, a hachured map

is considered the best. The method of hachures may be roughly

characterized as a graphic system with a conventional element, and the

contour method as a conventional system with a graphic element,--for if

the contour interval is small enough a sort of shading is produced

which helps considerably the idea of relief.

In addition to these two great systems, with which everyone is more or

less familiar, there is another method of representing a country or

district,--a method that succeeds where others fail, and which although

by no means new, has not received the attention it deserves: this is

the representation of a country by a model in relief. Certain striking

advantages of models over maps of all kinds are, indeed, so apparent

that one almost loses sight of such slight disadvantages as can, of

course, be urged against them. In the graphic representation of the

surface they are far superior to the hachured map, and they have the

further advantage of expressing the relative relief, which the hachured

map fails to do, except in a very general way. They have also the

advantage of showing actual shadows, exactly as they would be seen in a

bird's-eye view of the district, instead of more or less conventional

ones, and are, consequently, more easily comprehended by the layman,

without becoming any less valuable to the skilled topographer. In

short, they combine all the graphic features of a hachured map with all

the advantages of the best class of contoured maps, and in addition

they show more of the surface detail, upon which so much of the

character of the country depends and which is very inadequately

expressed by hachures and almost completely ignored in a contoured map

of large interval. The contours themselves can be made to appear upon

the model very easily and without interfering with other features.

The uses of models are many and various. Within the past few years

their usefulness has been much extended, and, now that they are

becoming better known, will probably receive a still further extension.

To the geologist they are often of great value in working out the

structure of complicated districts, for the reason that so many

important structural relations can be presented to the eye at a single

glance. Similarly, for the graphic presentation of results there is no

better method, as the topography, the surface geology, and any number

of sections can be shown together and seen in their proper

relationship. To the engineer an accurate model is often of the

greatest assistance in working out his problems, and it is simply

invaluable to explain the details of a plan to anyone who has little or

no technical training; for, as has been stated, a model is easily

comprehended by anyone, while more or less technical knowledge is

required for the proper understanding of even the best maps.

I might go on cataloguing in detail the many uses to which models may

be put, but shall now mention only one more--perhaps the most important

of all--their use in the education of the young. No method has yet been

devised that is capable of giving so clear and accurate a conception of

the principles of physical geography as a series of well selected

models; models have, indeed, already been used for this purpose, but

unfortunately their great cost has prevented their general use in

schools. Since, however, the study of geography has been placed upon a

new basis and a new life has been infused into it, many men have given

their attention to the subject of models, and have experimented with a

view to cheapen the cost of reproduction, which has hitherto prevented

their wide distribution; and probably this objection will soon be

remedied. The ability to read a map correctly,--to obtain from a study

of the map a clear conception of the country represented,--is more

uncommon than is usually supposed. Some of the recent methods of

teaching geography are intended to cultivate this very faculty, but it

is doubtful whether there is any better method than that which consists

in the study of a series of good models in conjunction with a series of

maps, all on the same scale and of the same areas. The value of a

series of good models in teaching geology is so apparent that it need

only be mentioned. It is often, for reasons stated above, far more

valuable even, than field instruction.

For the construction of a good relief map the first requisite is a good

contoured map. To this should be added, when possible, a good hachured

map, upon which the elevations of the principal points are stated,--if

the interval in the contoured map is a large one,--and as much material

in the way of photographs and sketches as it is possible to procure.

The modeler should, moreover, have some personal acquaintance with the

region to be represented, or, failing that, a general knowledge of

topographic forms, and at least a clear conception of the general

character of the country which he seeks to represent. This is very

important, for it is here that many modelers fail: the mechanical

portion of the work any ordinarily intelligent person can do. A model

may be as accurate as the map from which it is made, every contour may

be placed exactly where it belongs, and yet the resulting model may

be,--indeed, often is--"flat," expressionless, and unsatisfactory.

Every topographer in drawing his map is compelled to generalize more or

less, and it is fortunate for the map if this be done in the field

instead of in the draughtsman's office. But topographers differ among

themselves: there may be, and often is, considerable difference in two

maps of the same region made by different men; in other words, the

"personal equation" is a larger element in a map than is usually

supposed. This being the case, there is something more required in a

modeler than the mere transferring of the matter in the map,--giving it

three dimensions instead of two: he must supply through his special

knowledge of the region (or, failing that through his general

knowledge) certain characteristics that do not appear upon the map, and

undo, so far as it is necessary, certain generalizations of the

topographer and draughtsman. This artistic or technical skill required

correctly to represent the _individuality_ of a given district is

especially important in the modeler; it is more important, perhaps, in

small-scale maps of large districts than in large-scale maps of small

ones,--for in the latter the generalizing process has not been carried

so far, and the smaller interval of the contour lines preserves much of

the detail.

The methods by which relief maps are made have always received more

attention than would, at first sight, appear to be their proper

proportion. It may be due, however, to the difficulty of applying any

test to determine the accuracy of the finished model, and perhaps also

to the general impression that any one can make a relief map,--and so

he can, though of course there will be a wide difference in the value

of the results. Some, indeed, have devoted their attention to methods

exclusively, letting the result take care of itself,--and the models

show it. There is no more reason why a modeler should tie himself down

to one method of work, than that a water-colorist, or a chemist, or

anyone engaged in technical work, should do so; though in some cases he

might be required, as the chemist is, to show his methods as well as

his results.

The National Geographic Magazine, Vol. I., No. 3, July, 1889 · 第 6 / 8 段