Misplaced Pages

#357642

70-769: The Kaibab Plateau is a plateau almost entirely in Coconino County, Arizona (but extending slightly north into Kane County , Utah ) in the Southwestern United States . The high plain is also known as the Buckskin Mountain , Buckskin Plateau , and Kaibab Mountain . The plateau, part of the larger Colorado Plateau , is bordered on the south by the Grand Canyon and reaches an elevation of 9,200 feet (2,800 m). The plateau

140-418: A ) {\displaystyle (x_{a},y_{a})} and ( x b , y b ) {\displaystyle (x_{b},y_{b})} Linear interpolation is quick and easy, but it is not very precise. Another disadvantage is that the interpolant is not differentiable at the point x k . The following error estimate shows that linear interpolation is not very precise. Denote

210-414: A , y a ) and ( x b , y b ), and the interpolant is given by: This previous equation states that the slope of the new line between ( x a , y a ) {\displaystyle (x_{a},y_{a})} and ( x , y ) {\displaystyle (x,y)} is the same as the slope of the line between ( x a , y

280-542: A dry-summer subalpine climate ( Köppen Dsc ). Most of the plateau is within the 6b USDA Hardiness Zone (-5°F to 0°F), with the highest elevations in the 6a zone (-10°F to -5°F). There is no weather station at the summit, but this climate table contains interpolated data for an area around the summit. Dry Park is a Remote Automated Weather Station located 6 miles northwest of the Kaibab Plateau High Point, at an elevation of 8706 ft (2654 m). At

350-556: A function s : [ a , b ] → R {\displaystyle s:[a,b]\to \mathbb {R} } such that f ( x i ) = s ( x i ) {\displaystyle f(x_{i})=s(x_{i})} for i = 1 , 2 , … , n {\displaystyle i=1,2,\dots ,n} (that is, that s {\displaystyle s} interpolates f {\displaystyle f} at these points). In general, an interpolant need not be

420-430: A functional that represents the entire family of interpolants satisfying those constraints, including those that are discontinuous or partially defined. These functionals identify the subspace of functions where the solution to a constrained optimization problem resides. Consequently, TFC transforms constrained optimization problems into equivalent unconstrained formulations. This transformation has proven highly effective in

490-416: A given function by another function from some predetermined class, and how good this approximation is. This clearly yields a bound on how well the interpolant can approximate the unknown function. If we consider x {\displaystyle x} as a variable in a topological space , and the function f ( x ) {\displaystyle f(x)} mapping to a Banach space , then

560-962: A good approximation, but there are well known and often reasonable conditions where it will. For example, if f ∈ C 4 ( [ a , b ] ) {\displaystyle f\in C^{4}([a,b])} (four times continuously differentiable) then cubic spline interpolation has an error bound given by ‖ f − s ‖ ∞ ≤ C ‖ f ( 4 ) ‖ ∞ h 4 {\displaystyle \|f-s\|_{\infty }\leq C\|f^{(4)}\|_{\infty }h^{4}} where h max i = 1 , 2 , … , n − 1 | x i + 1 − x i | {\displaystyle h\max _{i=1,2,\dots ,n-1}|x_{i+1}-x_{i}|} and C {\displaystyle C}

630-440: A great increase in numbers during the early decades of the 20th century. One estimate put the population as high as 100,000 deer inhabiting the range in 1924. Again, there was no systematic survey to support this estimate, which may have been exaggerated to twice the actual number. Shortly after that time, however, the deer population did begin to decline from over-browsing . By the mid-1920s, many deer were starving to death. After

700-402: A heated legal dispute between the federal government and the state of Arizona, hunting was once more permitted, to reduce the deer's numbers. Hunters were able to kill only a small fraction of the starving deer. The range itself was damaged, and its carrying capacity was greatly reduced. Once ecologists began to study the area and reflect on the changes that had occurred there, they began to use

770-553: A river was already there, though not necessarily on exactly the same course. Then, subterranean geological forces caused the land in that part of North America to gradually rise by about a centimeter per year for millions of years. An unusual balance occurred: the river that would become the Colorado River was able to erode into the crust of the Earth at a nearly equal rate to the uplift of the plateau. Now, millions of years later,

SECTION 10

#1732765080358

840-691: A smaller error than linear interpolation, while the interpolant is smoother and easier to evaluate than the high-degree polynomials used in polynomial interpolation. However, the global nature of the basis functions leads to ill-conditioning. This is completely mitigated by using splines of compact support, such as are implemented in Boost.Math and discussed in Kress. Depending on the underlying discretisation of fields, different interpolants may be required. In contrast to other interpolation methods, which estimate functions on target points, mimetic interpolation evaluates

910-405: Is a common way to approximate functions. Given a function f : [ a , b ] → R {\displaystyle f:[a,b]\to \mathbb {R} } with a set of points x 1 , x 2 , … , x n ∈ [ a , b ] {\displaystyle x_{1},x_{2},\dots ,x_{n}\in [a,b]} one can form

980-422: Is a constant. Gaussian process is a powerful non-linear interpolation tool. Many popular interpolation tools are actually equivalent to particular Gaussian processes. Gaussian processes can be used not only for fitting an interpolant that passes exactly through the given data points but also for regression; that is, for fitting a curve through noisy data. In the geostatistics community Gaussian process regression

1050-469: Is a marble platform caused by a monoclinical fold, which strata dips down 2,000 to 3,000 feet. The climate of the Kaibab Plateau consists of rain and thunderstorms in late summer during the summer monsoon season, snow, heavy at times, in winter, and drier weather in early summer. There was an average annual precipitation of 26.57 inches (67.5 cm) for the period 1925 to 1936. During winter, snow

1120-440: Is also known as Kriging . Other forms of interpolation can be constructed by picking a different class of interpolants. For instance, rational interpolation is interpolation by rational functions using Padé approximant , and trigonometric interpolation is interpolation by trigonometric polynomials using Fourier series . Another possibility is to use wavelets . The Whittaker–Shannon interpolation formula can be used if

1190-628: Is bounded on the south by the Grand Canyon of the Colorado River, the elevation in this southern area of the plateau varies from 8,800 feet (2,700 m) to slightly less than 6,000 feet (1,800 m). The most extensive platform of the plateau is the Esplanade, which is called "Sand Rocks" by local cowboys. This area was formed as a result from weathering of the Hermit shale, which left a hard layer of Permian sandstone exposed. This red sandstone

1260-515: Is divided between Kaibab National Forest and the "North Rim" portion of Grand Canyon National Park . Tributary canyons of the Colorado River form the plateau's eastern and western boundaries, and tiers of uplifted cliffs define the northern edges of the landform . Winter snowfall is often heavy (sometimes exceeding 17 feet [5.2 m]), and this creates opportunities for backcountry Nordic skiing and snow camping. This broad feature

1330-622: Is divided into three main flat regions: the Bogotá savanna , the valleys of Ubaté and Chiquinquirá , and the valleys of Duitama and Sogamoso . The parallel Sierra of Andes delimit one of the world highest plateaux: the Altiplano , (Spanish for "high plain"), Andean Plateau or Bolivian Plateau. It lies in west-central South America, where the Andes are at their widest, is the most extensive area of high plateau on Earth outside of Tibet. The bulk of

1400-472: Is heavily forested with aspen , spruce - fir , ponderosa pine , and pinyon-juniper woodland , and stands in sharp contrast to the arid lowlands encircling it. The cool forests of the plateau are home to the Kaibab squirrel , which is endemic to the region. Other fauna includes deer , turkey , cougar , and bobcat . The Kaibab deer are particularly important because of the changes in their population during

1470-464: Is heavy and often accumulates at a depth of 8–10 feet (2.4–3.0 m). June is the driest month of the year, followed by May and early July. Storms occur several times each week until early September. The highest portions of the plateau are usually touched by snow, and snowstorms usually occur between May and September. The Kaibab Plateau High Point, 9,213 ft (2,808 m), has a dry-summer humid continental climate ( Köppen Dsb ), bordering on

SECTION 20

#1732765080358

1540-618: Is one of the outstanding features of the plateau. The plateau's western boundary is the Kanab Creek Canyon which high perpendicular walls form a natural barrier to the movement of most animals. The northwestern boundary of the plateau is marked by a fault line north of the Snake Gulch which is approximately sixteen miles to the east of the Kanab Creek. The eastern boundary is marked by the so-called Houserock Valley, which

1610-421: Is proportional to higher powers of the distance between the data points. These methods also produce smoother interpolants. Polynomial interpolation is a generalization of linear interpolation. Note that the linear interpolant is a linear function . We now replace this interpolant with a polynomial of higher degree . Consider again the problem given above. The following sixth degree polynomial goes through all

1680-710: Is sometimes called the Roof of Africa due to its height and large area. Another example is the Highveld which is the portion of the South African inland plateau which has an altitude above approximately 1,500 metres, but below 2,100 metres, thus excluding the Lesotho mountain regions. It is home to some of the largest South African urban agglomerations . In Egypt are the Giza Plateau and Galala Mountain , which

1750-545: Is the Scottish Highlands . Plateaus are classified according to their surrounding environment. The highest African plateau is the Ethiopian Highlands which cover the central part of Ethiopia. It forms the largest continuous area of its altitude in the continent, with little of its surface falling below 1,500 metres (4,921 ft), while the summits reach heights of up to 4,550 metres (14,928 ft). It

1820-423: Is the field values that are conserved (not the integral of the field). Apart from linear interpolation, area weighted interpolation can be considered one of the first mimetic interpolation methods to have been developed. The Theory of Functional Connections (TFC) is a mathematical framework specifically developed for functional interpolation . Given any interpolant that satisfies a set of constraints, TFC derives

1890-572: Is the home of more than 70 million people. The Western Plateau , part of the Australian Shield , is an ancient craton covering much of the continent's southwest, an area of some 700,000 square kilometres. It has an average elevation between 305 and 460 metres. The North Island Volcanic Plateau is an area of high land occupying much of the centre of the North Island of New Zealand, with volcanoes, lava plateaus, and crater lakes,

1960-541: Is unlikely to be used, as linear interpolation (see below) is almost as easy, but in higher-dimensional multivariate interpolation , this could be a favourable choice for its speed and simplicity. One of the simplest methods is linear interpolation (sometimes known as lerp). Consider the above example of estimating f (2.5). Since 2.5 is midway between 2 and 3, it is reasonable to take f (2.5) midway between f (2) = 0.9093 and f (3) = 0.1411, which yields 0.5252. Generally, linear interpolation takes two data points, say ( x

2030-772: The Deccan Plateau (≈1,900,000 km (730,000 sq mi), elevation 300–600 metres (980–1,970 ft)). A large plateau in North America is the Colorado Plateau , which covers about 337,000 km (130,000 sq mi) in Colorado , Arizona , New Mexico , and Utah . In northern Arizona and southern Utah the Colorado Plateau is bisected by the Colorado River and the Grand Canyon . This came to be over 10 million years ago,

2100-567: The displacement interpolation problem used in transportation theory . Multivariate interpolation is the interpolation of functions of more than one variable. Methods include nearest-neighbor interpolation , bilinear interpolation and bicubic interpolation in two dimensions, and trilinear interpolation in three dimensions. They can be applied to gridded or scattered data. Mimetic interpolation generalizes to n {\displaystyle n} dimensional spaces where n > 3 {\displaystyle n>3} . In

2170-494: The electric field , for instance, since the line integral gives the electric potential difference at the endpoints of the integration path. Mimetic interpolation ensures that the error of estimating the line integral of an electric field is the same as the error obtained by interpolating the potential at the end points of the integration path, regardless of the length of the integration path. Linear , bilinear and trilinear interpolation are also considered mimetic, even if it

Kaibab Plateau - Misplaced Pages Continue

2240-567: The " Roof of the World ", which is still being formed by the collisions of the Indo-Australian and Eurasian tectonic plates . The Tibetan Plateau covers approximately 2,500,000 km (970,000 sq mi), at about 5,000 m (16,000 ft) above sea level. The plateau is sufficiently high to reverse the Hadley cell convection cycles and to drive the monsoons of India towards

2310-688: The Altiplano lies within Bolivian and Peruvian territory while its southern parts lie in Chile. The Altiplano plateau hosts several cities like Puno, Oruro, El Alto and La Paz the administrative seat of Bolivia. Northeastern Altiplano is more humid than the Southwestern, the latter of which hosts several salares , or salt flats, due to its aridity. At the Bolivia-Peru border lies Lake Titicaca ,

2380-483: The Kaibab deer as a simple lesson about how the removal of the deer's natural predators , which had been done in the interest of preserving the deer population, had allowed the deer to over-reproduce, and quickly overwhelm the plateau's resources. Some ecologists suggested that the situation highlighted the importance of keeping a population in balance with its environment's carrying capacity. The more meaningful lesson of

2450-626: The Kaibab deer herd?" Ecosystems 9: 227–241] The Kaibab deer controversy has revolutionized the way science is taught in textbooks, and the way students question ecology and biology. In addition, students now learn that human intervention can lead to big repercussions regarding specific animal's population and development in certain regions. Plateau Plateaus can be formed by a number of processes, including upwelling of volcanic magma, extrusion of lava, plate tectonics movements, and erosion by water and glaciers. Volcanic plateaus are produced by volcanic activity . The Columbia Plateau in

2520-499: The Kaibab suggests that human efforts to protect wildlife and preserve wild areas must be balanced with ecological complexity and social priorities that are difficult to predict. Changes take place, sometimes rapidly, but their effects linger for decades. Today, the Arizona Game Commission manages the area, controlling the numbers of deer as well as predators, and issues hunting permits to keep the deer in balance with

2590-660: The North Rim of the Grand Canyon is at an elevation of about 2,450 m (8,040 ft) above sea level , and the South Rim of the Grand Canyon is about 2,150 m (7,050 ft) above sea level. At its deepest, the Colorado River is about 1,830 m (6,000 ft) below the level of the North Rim. Another high-altitude plateau in North America is the Mexican Plateau . With an area of 601,882 km (232,388 sq mi) and average height of 1,825 metres, it

2660-432: The area was probably due to a period of severe overbrowsing by a large population of deer. This, they write, is consistent with the original assessment of the rapid rise in deer population as a result of persistent predator control. Their contribution of original research is a refreshing addition to the ongoing discussion of predator-prey interactions on the Kaibab. [Binkley, Dan, et al., 2006. "Was Aldo Leopold right about

2730-406: The beginning of the 20th century, the Kaibab Plateau was witness to an interesting experiment in what some might call population engineering. The plateau's pre-1905 population of mule deer was estimated to be around 4,000. This number was never confirmed by any kind of count or survey, and has become an accepted number mainly because no other estimate is available. The average carrying capacity of

2800-761: The crust. Tectonic plateaus are formed by tectonic plate movements which cause uplift, and are normally of a considerable size, and a fairly uniform altitude. Examples are the Deccan Plateau in India and the Meseta Central on the Iberian Peninsula . Plateaus can also be formed by the erosional processes of glaciers on mountain ranges, leaving them sitting between the mountain ranges. Water can also erode mountains and other landforms down into plateaus. Dissected plateaus are highly eroded plateaus cut by rivers and broken by deep narrow valleys. An example

2870-473: The deer Caughley's opinion led to confusion by teachers and scientists over what to include and teach in ecology and biology classes, therefore this story stopped being used as an example of prey and predator population dynamics. This is important to the development of scientific studies because it shows that events—like the Kaibab deer controversy—do not have a definitive start and beginning but include other opinions and approaches which teachers use to showcase

Kaibab Plateau - Misplaced Pages Continue

2940-476: The domain of digital signal processing, the term interpolation refers to the process of converting a sampled digital signal (such as a sampled audio signal) to that of a higher sampling rate ( Upsampling ) using various digital filtering techniques (for example, convolution with a frequency-limited impulse signal). In this application there is a specific requirement that the harmonic content of the original signal be preserved without creating aliased harmonic content of

3010-454: The early 1900s. This particular fluctuation is a great example of population engineering and the effects humans can have on nature. The Kaibab Plateau consists of approximately 1,152 square miles (2,980 km) which are above 6,000 feet (1,800 m). The highest point has an elevation of 9,200 feet (2,800 m), a topographic prominence of 3,580 feet (1,090 m), and a topographic isolation of 70.44 miles (113.36 km). The plateau

3080-424: The function at intermediate points, such as x = 2.5. {\displaystyle x=2.5.} We describe some methods of interpolation, differing in such properties as: accuracy, cost, number of data points needed, and smoothness of the resulting interpolant function. The simplest interpolation method is to locate the nearest data value, and assign the same value. In simple problems, this method

3150-406: The function which we want to interpolate by g , and suppose that x lies between x a and x b and that g is twice continuously differentiable. Then the linear interpolation error is In words, the error is proportional to the square of the distance between the data points. The error in some other methods, including polynomial interpolation and spline interpolation (described below),

3220-674: The gods" in the native tongue of the Pemon , the Indigenous people who inhabit the Gran Sabana . Tepuis can be considered minute plateaus and tend to be found as isolated entities rather than in connected ranges, which makes them the host of a unique array of endemic plant and animal species. Some of the most outstanding tepuis are Neblina , Autana , Auyan and Mount Roraima . They are typically composed of sheer blocks of Precambrian quartz arenite sandstone that rise abruptly from

3290-437: The integral of fields on target lines, areas or volumes, depending on the type of field (scalar, vector, pseudo-vector or pseudo-scalar). A key feature of mimetic interpolation is that vector calculus identities are satisfied, including Stokes' theorem and the divergence theorem . As a result, mimetic interpolation conserves line, area and volume integrals. Conservation of line integrals might be desirable when interpolating

3360-412: The interpolant has to go exactly through the data points is relaxed. It is only required to approach the data points as closely as possible (within some other constraints). This requires parameterizing the potential interpolants and having some way of measuring the error. In the simplest case this leads to least squares approximation. Approximation theory studies how to find the best approximation to

3430-487: The intervals, and chooses the polynomial pieces such that they fit smoothly together. The resulting function is called a spline. For instance, the natural cubic spline is piecewise cubic and twice continuously differentiable. Furthermore, its second derivative is zero at the end points. The natural cubic spline interpolating the points in the table above is given by In this case we get f (2.5) = 0.5972. Like polynomial interpolation, spline interpolation incurs

3500-492: The jungle, giving rise to spectacular natural scenery. Auyán-tepui is the source of Angel Falls , the world's tallest waterfall . The Colombian capital city of Bogota sits on an Andean plateau known as the Altiplano Cundiboyacense roughly the size of Switzerland. Averaging a height of 2,600 m (8,500 ft) above sea level, this northern Andean plateau is situated in the country's eastern range and

3570-507: The land was unknown, in part because this concept was not widely used by naturalists at the time. Years later, Aldo Leopold estimated that the capacity had been about 30,000 deer. The idea in 1906 was simply to protect and expand the herd, so on November 28, President Theodore Roosevelt created the Grand Canyon National Game Preserve. Overgrazing by herds of sheep, cattle, and horses had taken place on

SECTION 50

#1732765080358

3640-536: The largest lake in South America. [REDACTED] Media related to Plateaus at Wikimedia Commons Interpolation In the mathematical field of numerical analysis , interpolation is a type of estimation , a method of constructing (finding) new data points based on the range of a discrete set of known data points. In engineering and science , one often has a number of data points, obtained by sampling or experimentation , which represent

3710-601: The most notable of which is the country's largest lake, Lake Taupō . The plateau stretches approximately 100 km east to west and 130 km north to south. The majority of the plateau is more than 600 metres above sea level. A tepui ( / ˈ t ɛ p w i / ), or tepuy ( Spanish: [teˈpuj] ), is a table-top mountain or mesa found in the Guiana Highlands of South America, especially in Venezuela and western Guyana . The word tepui means "house of

3780-442: The north-western United States is an example. They may be formed by upwelling of volcanic magma or extrusion of lava. The underlining mechanism in forming plateaus from upwelling starts when magma rises from the mantle , causing the ground to swell upward. In this way, large, flat areas of rock are uplifted to form a plateau. For plateaus formed by extrusion, the rock is built up from lava spreading outward from cracks and weak areas in

3850-442: The number of data points is infinite or if the function to be interpolated has compact support. Sometimes, we know not only the value of the function that we want to interpolate, at some points, but also its derivative. This leads to Hermite interpolation problems. When each data point is itself a function, it can be useful to see the interpolation problem as a partial advection problem between each data point. This idea leads to

3920-414: The original function can be interpolated to produce a simpler function which is still fairly close to the original. The resulting gain in simplicity may outweigh the loss from interpolation error and give better performance in calculation process. This table gives some values of an unknown function f ( x ) {\displaystyle f(x)} . Interpolation provides a means of estimating

3990-472: The original signal above the original Nyquist limit of the signal (that is, above fs/2 of the original signal sample rate). An early and fairly elementary discussion on this subject can be found in Rabiner and Crochiere's book Multirate Digital Signal Processing . The term extrapolation is used to find data points outside the range of known data points. In curve fitting problems, the constraint that

4060-709: The plateau since the 1880s. During that time, many predators were also killed by ranchers and bounty hunters. By the time Roosevelt established the game preserve, ranchers had moved most domestic livestock elsewhere. The primary change brought by the creation of the game preserve was to ban deer hunting. Government efforts, led by the United States Forest Service , began to protect the deer's numbers by killing off their natural predators once again; to this end, between 1907 and 1939, 816 mountain lions , 20 wolves , 7388 coyotes and over 500 bobcats were reportedly killed. The deer population experienced

4130-450: The problems of linear interpolation. However, polynomial interpolation also has some disadvantages. Calculating the interpolating polynomial is computationally expensive (see computational complexity ) compared to linear interpolation. Furthermore, polynomial interpolation may exhibit oscillatory artifacts, especially at the end points (see Runge's phenomenon ). Polynomial interpolation can estimate local maxima and minima that are outside

4200-458: The range of the samples, unlike linear interpolation. For example, the interpolant above has a local maximum at x ≈ 1.566, f ( x ) ≈ 1.003 and a local minimum at x ≈ 4.708, f ( x ) ≈ −1.003. However, these maxima and minima may exceed the theoretical range of the function; for example, a function that is always positive may have an interpolant with negative values, and whose inverse therefore contains false vertical asymptotes . More generally,

4270-415: The range. Although the story of the Kaibab deer rose to fame in the 1920s due to their sudden increase and decrease in population, the story can also be used to demonstrate the way in which scientific studies and ideas about history can help educate current students. The first interpretation of the deer story as demonstrated in textbooks was that predator control had destroyed the deer's population growth. It

SECTION 60

#1732765080358

4340-425: The richness of controversy. In the summers of 2002 and 2003, forest ecologist Dan Binkley and associates undertook a careful analysis of the age structure of aspen stands on the Kaibab. Their work shows that few aspen sprouted successfully on the plateau in the 1920s. They ruled out browsing by domestic livestock or exceptionally dry conditions as causes of that change and concluded that the age structure of aspen in

4410-453: The seven points: Substituting x = 2.5, we find that f (2.5) = ~0.59678. Generally, if we have n data points, there is exactly one polynomial of degree at most n −1 going through all the data points. The interpolation error is proportional to the distance between the data points to the power n . Furthermore, the interpolant is a polynomial and thus infinitely differentiable. So, we see that polynomial interpolation overcomes most of

4480-499: The shape of the resulting curve, especially for very high or low values of the independent variable, may be contrary to commonsense; that is, to what is known about the experimental system which has generated the data points. These disadvantages can be reduced by using spline interpolation or restricting attention to Chebyshev polynomials . Linear interpolation uses a linear function for each of intervals [ x k , x k+1 ]. Spline interpolation uses low-degree polynomials in each of

4550-651: The solution of differential equations . TFC achieves this by constructing a constrained functional (a function of a free function), that inherently satisfies given constraints regardless of the expression of the free function. This simplifies solving various types of equations and significantly improves the efficiency and accuracy of methods like Physics-Informed Neural Networks (PINNs). TFC offers advantages over traditional methods like Lagrange multipliers and spectral methods by directly addressing constraints analytically and avoiding iterative procedures, although it cannot currently handle inequality constraints. Interpolation

4620-866: The south. The Deosai Plains in Pakistan are situated at an average elevation of 4,114 meters (13,497 ft) above sea level. They are considered to be the second highest plateaus in the world. Other major plateaus in Asia are: Najd on the Arabian Peninsula , elevation 762 to 1,525 m (2,500 to 5,003 ft), Armenian Highlands (≈400,000 km (150,000 sq mi), elevation 900–2,100 metres (3,000–6,900 ft)), Iranian Plateau (≈3,700,000 km (1,400,000 sq mi), elevation 300–1,500 metres (980–4,920 ft)), Anatolian Plateau , Mongolian Plateau (≈2,600,000 km (1,000,000 sq mi), elevation 1,000–1,500 metres (3,300–4,900 ft)), and

4690-480: The surrounding coastline through enormous glaciers . The polar ice cap is so massive that the echolocation measurements of ice thickness have shown that large areas are below sea level . But, as the ice melts, the land beneath will rebound through isostasy and ultimately rise above sea level. The largest and highest plateau in the world is the Tibetan Plateau , sometimes metaphorically described as

4760-446: The values of a function for a limited number of values of the independent variable . It is often required to interpolate ; that is, estimate the value of that function for an intermediate value of the independent variable. A closely related problem is the approximation of a complicated function by a simple function. Suppose the formula for some given function is known, but too complicated to evaluate efficiently. A few data points from

4830-605: Was once called Gallayat Plateaus, rising 3,300 ft above sea level. Another very large plateau is the icy Antarctic Plateau , which is sometimes referred to as the Polar Plateau or King Haakon VII Plateau, home to the geographic South Pole and the Amundsen–Scott South Pole Station , which covers most of East Antarctica where there are no known mountains but rather 3,000 m (9,800 ft) high of superficial ice and which spreads very slowly toward

4900-524: Was thought that initially the high number of deer predators were obtruding the growth of the deer's population, therefore rules were put in place in order to minimize the predator population and allow the deer to increase their population size. However, as scientific studies continued, ecologist Graeme Caughley suggested that predator control alone could not have caused the Kaibab irruption, but rather factors like climate, grazing by other animals, and preservation policies actually had more significant impacts on

#357642