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The accepted Cenozoic geologic and glacial history paradigm (accepted paradigm) considers the southcentral Montana Musselshell-Yellowstone River drainage divide to have originated during Tertiary (or preglacial) time while a new and different Cenozoic geologic and glacial history paradigm (new paradigm) describes how headward erosion of a northeast-oriented Musselshell River valley segment captured huge southeast-oriented meltwater floods to create the drainage divide late during a continental ice sheet’s melt history. Northwest to southeast oriented divide crossings (low points observed on detailed topographic maps where water once flowed across the drainage divide), southeast-oriented Yellowstone and Musselshell River segments immediately upstream from northeast-oriented Yellowstone and Musselshell River segments, and southeast- and northwest-oriented tributaries to northeast-oriented Yellowstone and Musselshell River segments indicate a major southeast-oriented drainage system predated the northeast-oriented Yellowstone and Musselshell River segments. Closeness of the divide crossings, divide crossing floor elevations, large escarpment-surrounded erosional amphitheater-shaped basins, and unusual flat-floored internally drained basin areas (straddling the drainage divide), all suggest the previous southeast-oriented drainage system moved large quantities of water which deeply eroded the region. In the mid-20th century geomorphologists working from the accepted paradigm perspective determined trying to explain such erosional landform evidence from the accepted paradigm perspective was a nonproductive research activity and now rarely investigate erosional landform origins. On the other hand, the new paradigm appears to explain most, if not all observed erosional landform features, although the two paradigms lead to significantly different regional Cenozoic geologic and glacial histories that cannot be easily compared.&nbsp

The United States Supreme Court settled legal disputes concerning four different Larimer County (Colorado) locations where water is moved by gravity across the high elevation North Platte-South Platte River drainage divide, which begins as a triple drainage divide with the Colorado River at Thunder Mountain (on the east-west continental divide and near Colorado River headwaters) and proceeds in roughly a north and northeast direction across deep mountain passes and other low points (divide crossings) first as the Michigan River (in the North Platte watershed)-Cache la Poudre River (in the South Platte watershed) drainage divide and then as the Laramie River (in the North Platte watershed)-Cache la Poudre River drainage divide. The mountain passes and nearby valley and drainage route orientations and other unusual erosional features can be explained if enormous and prolonged volumes of south-oriented water moved along today’s north-oriented North Platte and Laramie River alignments into what must have been a rising mountain region to reach south-oriented Colorado River headwaters. Mountain uplift in time forced a flow reversal in the Laramie River valley while flow continued in a south direction along the North Platte River alignment only to be forced to flow around the Medicine Bow Mountains south end and then to flow northward in the Laramie River valley and later to be captured by headward erosion of the east-oriented Cache la Poudre River-Joe Wright Creek valley (aided by a steeper gradient and less resistant bedrock). Continued uplift next reversed flow on the North Platte River alignment to create drainage routes seen today. While explaining Larimer County North Platte-South Platte drainage divide area topographic map drainage system and erosional landform evidence this interpretation requires a completely different Cenozoic history than the geologic history geologists usually describe.

Topographic and geologic map interpretation strongly suggests the eastern Montana Redwater River valley eroded headward across large southeast-oriented ice-marginal melt water floods. The north-oriented Redwater River heads in an area to the south of recognized continental glaciation and flows into the recognized glaciated region before joining the east-oriented Missouri River. Detailed topographic maps show the eastern drainage divide is asymmetric with steeper slopes on the Redwater River side and is crossed by shallow dry valleys linking northwest-oriented Redwater River tributaries with southeast-oriented streams that flow as barbed tributaries to the northeast-oriented Yellowstone River. The western drainage divide is also crossed by shallow dry valleys linking northwest-oriented drainage routes to north-oriented Missouri River tributaries with southeast-oriented and barbed tributaries to the northeast- and north-oriented Redwater River. Alluvium from upstream Yellowstone River source areas found within the Redwater River drainage basin suggests the Redwater River and much longer Yellowstone River valleys eroded headward from a continental ice sheet margin as headward erosion of the larger Yellowstone River valley across the southeast-oriented flood flow was supplemented by northeast- and north-oriented flow moving at the present day Redwater-Yellowstone River drainage divide elevation.

The dearth of scientific literature in which specific erosional landform origins are determined is an example of what Thomas Kuhn considered a scientific crisis. Scientific crises arise when scientists following their discipline’s established paradigm’s rules, or doing what Kuhn calls normal science, cannot explain observed evidence. Scientific crises are resolved in one of three ways. Normal science may eventually explain the evidence and normal science returns, the unsolved problems may be identified and labeled and left for future scientists to solve, or a new paradigm may emerge with an ensuing battle over its acceptance. To succeed any new paradigm must demonstrate its ability to explain the previously unexplained evidence and also open up new research opportunities. During the 20th century’s first half regional geomorphologists abiding by their discipline’s paradigm rules unsuccessfully tried to explain origins of numerous erosional landforms, such as drainage divides and erosional escarpments. Their failures eventually caused the regional geomorphology discipline, at least that part of the discipline concerned with determining specific erosional landform origins, to almost completely disappear. A new and fundamentally different geomorphology paradigm that requires massive southeast-oriented continental ice sheet melt-water floods to have flowed across the Powder River Basin has the ability to explain specific erosional landform origins and is demonstrated here by using detailed topographic map evidence to show how large southeast-oriented floods eroded the Powder River Basin’s Belle Fourche River-Cheyenne River drainage divide segment, eroded through valleys now crossing that drainage divide segment, eroded the Powder River Basin’s Belle Fourche River valley, established Belle Fourche and Cheyenne River Powder River Basin tributary valley orientations, and eroded the north-facing Pine Ridge Escarpment. The success of this and other similar new paradigm demonstrations suggest many if not all specific erosional landform origins can be determined.

The Spearfish-Rapid Creek drainage extends from elevations greater than 7130 feet (2173 meters) roughly in a north direction across the northern Black Hills upland to where it becomes the Spearfish-Whitewood Creek drainage divide at an elevation of approximately 6440 feet (1963 meters) and separates north-oriented Spearfish Creek headwaters from southeast- and east-oriented Rapid Creek headwaters. This study used detailed topographic maps to investigate through valleys (and wind gaps) now crossing the Spearfish-Rapid Creek drainage divide, which is one of the Black Hills’ highest drainage divides. Through valley (or wind gap) floor elevations were determined and ranged from approximately 6150 feet (1875 meters) to approximately 7050 feet (2149 meters) and through valley (and wind gap) depths were also calculated and ranged from approximately 30 feet (9 meters) to about 290 feet (88 meters). Map evidence suggesting these through valleys (and wind gaps) originated as components of diverging and converging complexes of bedrock-walled channels is described and suggests large and prolonged southeast-oriented floods once flowed from or across the Spearfish Creek drainage basin to the Rapid Creek drainage basin. Based on today’s topography there is no upland Black Hills region capable of generating the large and prolonged floods required to erode the observed through valleys (and wind gaps) and their associated diverging and converging channel complexes so the erosion is interpreted to have taken place while the Black Hills were just beginning to emerge as the topographic high they are today. A water source could not be determined from map evidence, but large and prolonged southeast-oriented floods across the region are consistent with a recently proposed hypothesis that massive southeast-oriented (continental ice sheet) ice-marginal melt water floods eroded what are today western South Dakota and North Dakota river drainage basins.

Map interpretation techniques are used to determine the sequence in which western North and South Dakota erosion events occurred. The map interpretation techniques apply the principle of cross cutting relationships by studying asymmetric drainage divides, barbed tributaries, elbows of capture, drainage divide crossings, abandoned headcuts, and similar features on detailed topographic maps to determine the sequence in which drainage basins and valleys within those drainage basins formed. Detailed topographic maps covering western North and South Dakota show numerous closely spaced divide crossings along drainage divides separating the White, Bad, Cheyenne, Moreau, Grand, Cannonball, Heart, Knife, and Little Missouri Rivers. These divide crossings often form links between opposing northwest- and southeast-oriented tributary stream valleys and provide evidence of multiple closely spaced southeast-oriented flow channels that existed prior to formation of the deeper present day east-, northeast-, and north-oriented river valleys. Numerous barbed tributaries in the form of northwest-oriented tributaries to east- and northeast-oriented rivers (and major tributaries to the mentioned rivers) and southeast-oriented tributaries to the northeast- and north-oriented rivers (and tributaries to the mentioned rivers) suggest the deeper river (and tributary) valleys eroded headward across the southeast-oriented flow channels. Asymmetric drainage divides, barbed tributaries, abandoned headcuts, and elbows of capture demonstrate the southeast-oriented flow, which was most likely in the form of floods of ice-marginal melt water moving between the Black Hills uplift and a continental ice sheet’s southwest margin, was captured in sequence by headward erosion of the White, Bad, Cheyenne, Moreau, Grand, Cannonball, Heart, Knife, and Little Missouri River valleys. This erosion event sequence and its probable cause, determined from the map evidence, has major implications related to what is commonly considered to have been a much larger pre-glacial Bell River system, which included segments of each of the studied river valleys, and for all geologic and glacial history interpretations based on a Bell River system pre-glacial age interpretation.

Topographic map interpretation methods are used to determine erosional landform origins in and adjacent to the Tookany (Tacony) Creek drainage basin, located upstream from and adjacent to Philadelphia, PA. Five wind gaps notched into the Tookany-Wissahickon Creek drainage divide (which is also the Delaware-Schuylkill River drainage divide), a deep through valley crossing the Tookany-Pennypack Creek drainage divide, a Tookany Creek elbow of capture, orientations of Tookany Creek tributary valleys, a narrow valley carved in erosion resistant metamorphic bedrock, and the relationship of a major Tookany Creek direction change with a Pennypack Creek elbow of capture and a Pennypack Creek barbed tributary are used along with other evidence to reconstruct how a deep south oriented Tookany Creek valley eroded headward across massive southwest oriented flood flow. The flood flow origin cannot be determined from Tookany Creek drainage basin evidence, but may have been derived from a melting continental ice sheet, and originally flowed across the Tookany Creek drainage basin region on a low gradient topographic surface equivalent in elevation to or higher than the highest present day Tookany Creek drainage divide elevations with the water flowing in a complex of shallow diverging and converging channels that had formed by scouring of less resistant bedrock units and zones. William Morris Davis, sometimes referred to as the father of North American geomorphology, spent much of his boyhood and several years as a young man living in the Tookany Creek drainage basin and all landforms discussed here were within walking distance of his home and can be identified on a topographic map published while he was developing and promoting his erosion cycle ideas. Davis never published about Tookany Creek drainage basin erosion history, but he developed and promoted uniformitarian and erosion cycle models that failed to recognize the significance of Tookany Creek drainage basin erosional landform features providing evidence of the immense floods that once crossed present day drainage divides and eroded the Tookany Creek drainage basin.