In geomorphology and geology a peneplain is a low-relief plain formed by protracted erosion. This is the definition in the broadest of terms, albeit with frequency the usage of peneplain is meant to imply the representation of a near-final (or penultimate) stage of fluvial erosion during times of extended tectonic stability.  Peneplains are sometimes associated with the cycle of erosion theory of William Morris Davis,  [A] but Davis and other workers have also used the term in a purely descriptive manner without any theory or particular genesis attached. 
The existence of some peneplains, and peneplanation as a process in nature, is not without controversy, due to a lack of contemporary examples and uncertainty in identifying relic examples.   By some definitions, peneplains grade down to a base level represented by sea level, yet in other definitions such a condition is ignored.  Geomorphologist Karna Lidmar-Bergström and co-workers consider the base level criterion crucial and above the precise mechanism of formation of peneplains, including this way some pediplains among peneplains.  
While peneplains are usually assumed to form near sea level it has also been posited that peneplains can form at height if extensive sedimentation raises the local base level sufficiently  or if river networks are continuously obstructed by tectonic deformation.  The peneplains of the Pyrenees and Tibetan Plateau may exemplify these two cases respectively.  
A common misconception about peneplains is that they ought to be so plain they are featureless.  In fact, some peneplains may be hilly as they reflect irregular deep weathering, forming a plain grading to a base level only at a grand-scale.  [B]
There are various terms for landforms that are either alternatives to classical peneplains, a sub-set of peneplains or partially overlap with the term. The last is the case of planation surfaces that may be peneplains or not, while some peneplains are not planation surfaces. 
In their 2013 work Green, Lidmar-Bergström and co-workers provide the following classication scheme for peneplains: 
Rhodes Fairbridge and Charles Finkl argue that peneplains are often of mixed origin (polygenetic) as they may have been shaped by etchplanation during periods of humid climate and pediplanation during periods of arid and semi-arid climate. The long time spans under which some peneplains evolve ensures varied climatic influences.  The same authors do also list marine abrasion [C] and glacial erosion among processes that can contribute in shaping peneplains. 
In addition epigene peneplains can be distinguished from exhumed peneplains.  Epigene are those that have never been buried or covered by sedimentary rock.   Exhumed peneplains are those that are re-exposed after having been buried in sediments. 
The peneplain concept is often juxtaposed to that of pediplain. However authors like Karna Lidmar-Bergström classify pediplains as a type of peneplain.  On the contrary Lester Charles King held them as incompatible landforms arguing that peneplains do not exist. King wrote: 
- A peneplain in the Davisian sense, resulting from slope reduction and downwearing, does not exist in nature. It should be redefined as "an imaginary landform."
According to King pediplains main difference to Davis’ peneplains is in the history and processes behind, and less so in the final shape. A difference in form that may be present is that of residual hills which in Davis’ peneplains are to have gentle slopes while in pediplains they ought to have the same steepness as the slopes in the early stages of erosion leading to pediplanation.  Given that the coalesced pediments of the pediplains form a series of very gentle concave slopes, a difference with Davis' understanding of peneplains may lie in that his idealized peneplains had very gentle convex slopes instead. However, Davis' views on subject are not fully clear.  Contrary to this view Rhodes Fairbridge and Charles Finkl argue that the precise mechanism of formation (pediplanation, etc.) is irrelevant and that the term peneplain has been used and can be used in a purely descriptive manner. Further, alternation of processes with varying climate, relative sea level and biota make old surfaces unlikely to be of a single origin. 
Peneplains that are detached from their base level are identified by either hosting an accumulation of sediments that buries it or by being in an uplifted position. Burial preserves the peneplain. Any exposed peneplain detached from its baselevel can be considered a paleosurface or paleoplain.   Uplift of a peneplain commonly results in renewed erosion. As Davis put it in 1885: 
- "the decrepit surface must wait either until extinguished by submergence below the sea, or regenerated by elevation into a new cycle of life"
Uplifted peneplains can be preserved as fossil landfoms in conditions of extreme aridity or under non-eroding cold-based glacier ice.  Erosion of peneplains by glaciers in shield regions is limited.   In the Fennoscandian Shield average glacier erosion during the Quaternary amounts to tens of meters, albeit this was not evenly distributed.  For glacier erosion to be effective in shields a long "preparation period" of weathering under non-glacial conditions may be a requirement. 
- The term was coined around 1900 by William Morris Davis who described it as follows: Given sufficient time for the action of denuding forces on a mass of land standing fixed with reference to a constant base-level, and it must be worn down so low and so smooth, that it would fully deserve the name of a plain. But it is very unusual for a mass of land to maintain a fixed position as long as is here assumed.... I have therefore elsewhere suggested that an old region, nearly base-levelled, should be called an almost-plain; that is a peneplain.  
- Example of this are the Sub-Mesozoic hilly peneplains of southern Sweden. 
- Coastal geomorphologist Douglas Wilson Johnson has proposed to use the term "peneplane" instead of "peneplain" when a planation surface is thought to be of marine origin. 
- Akin to what in German scientific literature is known as a Primärrumpf. 
- Phillips, Jonathan D. (2002), "Erosion, isostatic response, and the missing peneplains", Geomorphology, Vol. 45, No. 3-4. Elsevier, 15 June 2002, pp. 225-241. doi: 10.1016/S0169-555X(01)00156-8.
- Chorley, R.J. (1973). The History and Study of Landforms or The Development of Geomorphology. Vol. Two: The Life and Work of William Morris Davis, Methuen.
- Fairbridge, Rhodes W.; Finkl Jr., Charles W. (1980). "Cratonic erosion unconformities and peneplains". The Journal of Geology. 88 (1): 69–86. Bibcode: 1980JG.....88...69F. doi: 10.1086/628474.
- Migoń, Piotr (2004). "Peneplain". In Goudie, A.S. Encyclopedia of Geomorphology. Routledge. pp. 771–772.
- Green, Paul F.; Lidmar-Bergström, Karna; Japsen, Peter; Bonow, Johan M.; Chalmers, James A. (2013). "Stratigraphic landscape analysis, thermochronology and the episodic development of elevated, passive continental margins". Geological Survey of Denmark and Greenland Bulletin. 30: 18. Retrieved 30 April 2015.
- Lidmar-Bergström, Karna; Bonow, Johan M.; Japsen, Peter (2013). "Stratigraphic Landscape Analysis and geomorphological paradigms: Scandinavia as an example of Phanerozoic uplift and subsidence". Global and Planetary Change. 100: 153–171. Bibcode: 2013GPC...100..153L. doi: 10.1016/j.gloplacha.2012.10.015.
- Babault, Julien; Van Den Driessche, Jean; Bonnet, Stephanie; Castelltort, Sébastien; Crave, Alain (2005). "Origin of the highly elevated Pyrenean peneplain". Tectonics. 24. Bibcode: 2005Tecto..24.2010B. doi: 10.1029/2004TC001697.
- Yang, Rong; Willett, Sean D.; Goren, Liran (2015). "In situ low-relief landscape formation as a result of river network disruption". Nature. 520: 526–530. Bibcode: 2015Natur.520..526Y. doi: 10.1038/nature14354.
- Miller, A.A. (1955). "The origin of the South Ireland Peneplane". Irish Geography. 3 (2): 79–86. doi: 10.1080/00750775509555491.
- Twidale, C.R. (1985). "Old landsurfaces and their implications for models of landscape evolution". Revue Geomorphologie Dynamique. 34: 131–147.
- Lidmar-Bergström (1988). "Denudation surfaces of a shield area in southern Sweden". Geografiska Annaler. 70 A (4): 337–350.
- King, L.C. (1953). "Canons of landscape evolution". Geological Society of America Bulletin. 64 (7): 721–752. doi: 10.1130/0016-7606(1953)64[721:cole]2.0.co;2.
- Bonow, Johan M.; Lidmar-Bergström, Karna; Japsen, Peter (2006). "Palaeosurfaces in central West Greenland as reference for identification of tectonic movements and estimation of erosion". Global and Planetary Change. 50 (3–4): 161–183. Bibcode: 2006GPC....50..161B. doi: 10.1016/j.gloplacha.2005.12.011.
- Orme, Anthony R. (2007). "The Rise and Fall of the Davisian Cycle of Erosion: Prelude, Fugue, Coda, and Sequel". Physical Geography. 28 (6): 474–506. doi: 10.2747/0272-36184.108.40.2064.
- Fairbridge, Rhodes W. (1988). "Cyclical patterns of exposure, weathering and burial of cratonic surfaces, with some examples from North America and Australia". Geografiska Annaler. 70 A (4): 277–283.
- Lidmar-Bergström, Karna (1997). "A long-term perspective on glacial erosion". Earth Surface Processes and Landforms. 22: 297–306.