King's geomorphic model is based on the evolution of idealized hill slopes through four stages - waxing slope, free face, debris slope, and waning slope or pediment. The model involves the parallel retreat of scarps and formation of pediments, resulting in the development of a pediplain landscape over multiple cycles of scarp retreat and pedimentation. Each cycle progresses through youth, mature, and old stages similar to Davis' cycle of erosion. The model was developed based on King's extensive study of landscapes in South Africa.

1. Geomorphic model of L. C. King
The geomorphic theory or very commonly known as
geomorphic system of L. C. king comprises a set of cyclic
models such as the landscape cycle, the pediplanation
cycle, hill slope cycle etc. essentially based on the
landscape characteristics of arid, semi-arid and savana
regions of South-Africa as studied by him. The model is
“ there is uniform development of landforms in varying
environmental conditions and there is insignificant
influence of climatic changes in the development of
fluvially originated landforms. Major landscapes in all the
continents have been evolved by rhythmic global tectonic
events. There is continuous migration (retreat) of hill slope
and such retreat is always in the form of parallel retreat.’
According to him, an ideal hill slope profile consists of all
the four elements of slopes: summit, scarp, debris slope,
and pediments and such hills slopes develop in all regions
and in all climates where there is sufficient relief and fluvial
process is dominant denudational agent.’

2. • pediplain, broad, relatively flat rock
surface formed by the joining of several
pediments.

4. • King's model was based on a slope profile consisting of
four segments:
• waxing slope: convex segment at the crest, dominated
by soil creep of a weathered mantle; increasing slope
angle is required to transport the greater quantity of
slope debris with distance downslope
• free face: bedrock outcrop; retreats parallel with
weathering and uniform removal; may be absent in areas
of low relief
• debris slope: debris from the free face resting at the
angle of repose; does not bury the free face but retreats
with it
• waning: gentle concave profile controlled by sheetwash
and transport of sediment over an eroded bedrock
surface (pediment)

6. King identified ‘remarkable surfaces of planation, surmounted by hills
(inselbergs) and piles of rock boulders (castle koppies), that are
such an obvious feature of the landscape in arid, semi-arid and
savanna parts of Africa. Thus, King propounded an entirely new
‘cyclic model of pediplanation’ (known as pediplanation cycle) in
1948 to account for the unique landscapes as referred to above as
he was convinced that Davisian model of arid cycle of erosion was
not competent to explain these landscapes.
After extensive study of South African landscape scenery King was
convinced that the African landscape consisted of three basic
elements: (i) rock pediments flanking river valley and having
concave slope varying in angle from 1.5 to 7 degree cut into solid
rocks, and (ii) scarps having steep slopes bounding the uplands
and varying in angle from 15 to 30 degree and experiencing
parallel retreat due to weathering; (iii) The third element comprises
steep sided residual hills known as inselbergs which vary in size
and shape.
According to King a standard (ideal) hill slope consists of four
elements e.g. summital convexity, free face, rectilinearity and basal
concavity. Such ideal hillslope is the natural products of normal
processes of slope evolution involving fluvial process (flowing
water) or mass movement.

9. The cycle of pediplanation is performed by twin processes:
scarp retreat and pedimentation. Each cycle begins with
rapid rate of upliftment followed by long period of crustal
(tectonic) stability. Thus, King’s concept of upliftment and
crustal stability is similar to the concept of Davis. The
pediplanation cycle passes through the stages of youth,
mature and old as in the Davisian cycle of erosion.
Youth stage
The stage of youth is characterized by initiation of rapid rate of
active downcutting of valleys by the rivers consequent upon
upliftment. Thus, the long profile of the rivers is punctuated
by a series of nickpoints which move upstream. The valleys
are so deepened that they assume the form of gorges and
canyons. With the march of time downcutting of valleys is
slowed down and a consequence of which the valley side
slopes are characterized by constant slope angles. The form
of valley side slope is controlled by physical processes
operating on the slopes and lithological characteristics.

11. • Elements of a hillslope (after L. C. King). The block diagram on the left
shows:
• (A) Waxing slopewaxing slope; (B) free face; (C) debris slope; (D)
Waning slopewaning slope or pediment; (A1) former extension of the
waxing slope; (B1) a previous position of the free face; (C1) a previous
position of the debris slope; (a) talus; (b) soil. The block diagram to
the right illustrates a hillslope with only two elements present.

12. • “Eventually, down cutting will become less active, and small
pediments will begin to appear in the valley bottoms. These will
become more extended as interfluve and upland areas are
consumed by scarp retreat.’ They produce inselbergs. The
rounded inselbergs are called as bornhardts and castle
koppies.
• Mature stage
• The beginning is characterized by absence of active valley
deepening and initiation of lateral erosion.
• There is backward retreat of valley side slope because of valley
widening and hence valley sides are distanced from the
channel but there is no significant change in the angle of valley
side slope. Extensive pediments varying in slope angles from 5
degree to 10 degree are formed at the base of valley side
slope. The pediments are of concave slope plan. Continuous
erosion and weathering results in progressive decrease in the
number of inselbergs. Many of the inselbergs are so gently

13. • Weathered that they are converted to castle koppies.
• Gradually, many of the inselbergs and castle copies
finally disappear while there is continuous extension of
pediments consequent upon gradual parallel retreat of
scarps. Eventually, many pediments form extensive flat
surface termed by King as pediplain which is
characterized by uneven surface with low reliefs and
subdued intersecting concave surfaces.
• Old stage
• By old stage most of the residual hills (inselbergs)
disappear. The whole landscape will now be dominated
by low-angled pediments; the multi-concave surface is
the ultimate form (pediplain)of the cycle, the pediplain
itself.

14. • Evaluation:
• Similarities: (1) erosion begins with rapid rate of upliftment
of short period followed by long period of crustal stability.
• (2) Landmass is eventually eroded down to peneplain and
pediplain
• (3) completetion of three stages.
• Dissimilarities:
• Pediments formed due to parallel scarp retreat.
• Pediplain is once formed further grows headward. New
scarp is initiated at the far end of the previously formed
pediplain which is progressively consumed by retreat of
new scarp and thus second pediplain is formed while the
former pediplain experiences decrease in its extent. The
process continues and a series of intersecting pediplains
are formed which extend headward.

15. • King was trained in the Davisian school but eventually
rejected many of Davis' notion as he attempted to apply
the cycle of erosion to an interpretation of the landscape
of South Africa
• his model is based on the notion of parallel retreat of
scarps and the resulting constraint on the down wearing
of the surface of the scarp
•

16. • The Hypsographic Curve
• The elevation features of the ocean floor—shelves, slopes, rises,
plains, ridges, and trenches—are quantitatively summarized by
oceanographers, along with the distribution of dry land at different
altitudes, in a graph called the hypsographic curve (see the figure).
The hypsographic curve shows what percentage of Earth's surface
rises above present-day sea level to a given height, or sinks below it
to a given depth. The curve shows that a small percentage of
Earth's surface consists of high-altitude continental mountains, 30
percent of the surface consists of continental lowlands. Continental
shelves and slopes account for about another 15 percent, abyssal
plains and mid-ocean ridge systems for almost 50 percent, and
deep-sea trenches account for a small fraction. The fact that Earth's
surface is comprised mostly of flat plates of continental and oceanic
crust, with mountains and deep-sea trenches occurring only along
their edges where the plates collide, gives the hypsographic curve
its characteristic shape.

17. The hypsographic curve shows the amount of Earth's surface at various elevations and depths.
Horizontal dashed lines indicate average height of the continents at 840 meters (2,750 feet) above sea
level, and average depth of the oceans at 3,800 meters (12,460 feet) below sea level. The vertical
dashed line marks the division between land and sea at present-day sea level.
The disappearance of oceanic crust into subduction zones is occurring primarily along the western,
northern, and eastern edges of the Pacific Ocean. These subduction zones are the deepest places in
the ocean, varying from 7 to 11 kilometers (4 miles to 6.8 miles) in depth. Along the length of a typical
subduction zone or deep-sea trench, a sheet of old oceanic crust is forced beneath continental crust.
The oceanic crust that is forced to submerge or subduct in this manner slides down into the mantle at an
angle.

18. • The Ocean Floor in Cross-Section
• The oceans begins, of course, at the shore, the irregular boundary where the
surface of a continent descends first to sea level and then beneath it. If the
depth of the ocean is measured along a line drawn straight out from a
continental shore, the following sequence of bottom features are typically
seen.
• Continental Shelf.
• For many miles out, the ocean is only a few hundred feet deep and gets
deeper quite slowly (i.e., slopes at an angle of 0.1°, or 1.7 meters per
kilometer [9 feet per mile]). This flat, wide margin is found around every
continent and is known as the continental shelf. The average width of a
continental shelf is 70 kilometers (43 miles).
• Continental Slope and Rise.
• The continental shelf ends at a sudden drop-off called the shelf break. Beyond
the shelf break, the slope of the ocean floor becomes much steeper, typically
a 4° slope, or 70 meters per kilometer (370 feet per mile). This steep
embankment is called the continental slope and is grooved by submarine
canyons and gullies. The continental slope is about 16 kilometers (10 miles)
wide, on average, and descends to a depth of about 2.4 kilometers (1.5 miles).
There it ends as the slope moderates to a mere degree or two from horizontal.
This gradual zone, which may be several hundred miles wide, is called the
continental rise. It is composed of fine-grained continental sediments (silt and
clay) washed down the many submarine canyons that notch the continental
slope.

19. • Abyssal Plain.
• The abyssal plain, which is the deepest, most level part of the ocean, is
found where the continental rise ends, at a depth of about 4 kilometers (2.5
miles). The abyssal plain is dotted with thousands of small, extinct
volcanoes called abyssal hills. The abyssal plains of the Atlantic appear
smooth because its abyssal hills are buried under a thick blanket of
continental sediment, but in the Pacific Ocean basin, which is ringed by
trenches that trap sediments before they can spread over the ocean floor,
tens of thousands of unburied abyssal hills have been observed. Abyssal
hills more than 1 kilometer (0.6 mile) high are called seamounts, and
seamounts with flat tops are called guyots or tablemounts. Guyots are
drowned volcanic islands that become submerged due to subsidence of the
oceanic lithosphere.
• Mid-Ocean Ridge.
• Beyond the abyssal plain, which may be several hundred kilometers wide,
the ocean floor begins to ascend again with a gentle slope. This area is the
flank of the mid-ocean ridge, a long, undersea mountain chain that usually
extends down the middle of the ocean. The Mid-Atlantic Ridge, for example,
snakes down the middle of the Atlantic most of the way from the North Pole
to Antarctica. * As the ocean floor climbs slowly toward the center of the
mid-ocean ridge its sediment blanket gets thinner and its surface more
irregular. Here, the ocean floor is marked by thousand-mile cracks called
fracture zones that lie at right angles across the mid-ocean ridge.

20. • Rift Valley.
• Along the center of the mid-ocean ridge is the rift valley, a deep V-
shaped notch. From this valley, new oceanic crust is constantly
being extruded from Earth's mantle by processes not yet fully
understood. Twin sheets of fresh, mile-thick crust emerge from the
mantle along the sides of the rift valley and flow slowly away from it
in opposite directions. In the case of the Mid-Atlantic rift valley, one
sheet flows east and the other west, each moving at about half an
inch per year. The older, more distant parts of these growing sheets
of crust are gradually covered by sediments, eventually becoming
the abyssal plains and continental rises described above. These
growing sheets of crust have the effect of forcing the distant
continents farther apart, a process called sea-floor spreading.
• Subduction Zones.
• Beyond the rift valley, the depth sequence described above is
observed in reverse: a gently declining slope of ridges and fractures,
an abyssal plain, a continental rise, a steep continental slope, a
somewhat flat continental shelf, and finally dry land again. This
would be the case in crossing the Atlantic Ocean. Elsewhere,
however, such neat symmetry is not always found. Some
continental margins are characterized by subduction zones,
whereby oceanic crust is destroyed beneath the edge of a
continental plate.