The Relationship Between Prices of Various Metals, Oil and Scarcity

: No consensus has been reached on the problem of solving resource depletion. A recognition of the fact that resources are not endless and the Earth is a ﬁnite globe reinforces the idea that the vision of continuous economic growth is not sustainable over time. The aim of this paper is to examine the efﬁcacy of real prices as an indicator of metals and oil in consideration of growth tendencies in the Consumer Price Indexes. In addition, enhancing the current literature on commodity price interrelationships, the main contribution of this study is the substitution of different proxies in order to justify the effect of scarcity and crude oil changes on the examined metal group prices. In order to demonstrate the usefulness of scarcity as an indicator of real price deviations, the study has been conducted involving various non-renewable metals, i.e., copper, molybdenum, zinc, gold and platinum group metals. The real price indices and metal prices of the US market are constructed between 1913 and 2015. Moreover, additional econometric analyses are also carried out to discover whether prices of various metals associate with oil prices and scarcity, as the proxy of reserves-to-production ratio. The linear regression results seem to suggest that the effects of the R/P ratios are negatively correlated with each of the examined precious (gold, PGMs), mass consumable (copper, zinc) and doping agent (molybdenum) metals from 1991 to 2015. An increase in oil-prices is positively associated with the price levels of each non-renewable resource in the short-run. The ﬁndings of multivariate co-integration and Granger causality tests also suggest that pairwise and direct relationships among these variables seem to arise in the long-run. These ﬁndings indicate essential questions that must be addressed by future generations in order to appropriately solve scarcity problems.


Introduction
Over the last ten years the prices of raw materials have reached unprecedented levels and resources have been depleted faster than is socially optimal [1]. Both the concentration of production of certain raw materials in a few countries and export quotas can lead to price spikes. Even classical economists, such as Malthus [2] and Ricardo [3] investigated resource (especially land) availability with regard to consumption and population growth. The availability of finite resources was simulated of non-renewable resources is discussed in detail by Tilton [22], who indicates that non-renewable resources have been expended and the pace of exploitation has accelerated since the Stone Age.
According to other experts, long-term prices adjusted for inflation (real prices) represent an effective and useful indicator of resource scarcity. The fears related to scarcity have so far proved unfounded. However, Svedberg and Tilton [23] have displayed that real long term commodity prices are decreasing, depending on the price deflator selection. In the case of real and long run price of copper, when no adjustment was made to the deflator, a descending tendency was quite apparent. Meanwhile, a reverse trend occurred when a CPI, which was adjusted by subtracting 1% point every year from the annual rise was applied. This implies that improperly adjusted deflators can mislead resource policymakers about the real level of scarcity, if real prices are, in fact, consistent indicators of scarcity. Another paper suggests a method for achieving inflation-bias-corrected estimates of long-run trends in real primary commodity prices by collecting estimates [24]. In this way, the need to repeat existing empirical studies by analyzing a corrected or 'real' price of non-renewable resources is avoided.
Earlier, Hotelling [25] stressed that the long-run trends in the real prices of various commodities are widely accepted as a suitable measure of changes in resource availability. This idea introduced a novel research field of natural resource management, which particularly focuses on natural resources (land, water, and metals etc.) to determine a phenomenon that affects the quality of life for both present and future generations. Furthermore, Krautkrammer [26] noted that dozens of empirical surveys based on modern econometric techniques have failed to reveal statistically significant rising trends in the long-run real price of mineral resources. Batten et al. [27] studied the monthly price volatilities of precious metals (i.e., gold, silver, platinum, and palladium) and evaluated such macroeconomic determinants like i.e., business cycles, monetary environment etc. of these volatilities. According to the results, there is a substantial volatility in metal prices attributable to global macroeconomic factors, but to different degrees. Essentially, earlier outdated results depended on a number of strong assumptions (no exploration or additions to reserves, a lack of technological change and uncertainty). The violations of these assumptions highlighted the fact that it is no longer possible to make perfect predictions regardless of the costs and prices of commodities.
Nevertheless, Brunette and Gilbert [28] confirmed that it is mainly speculative activities which lead to short term price volatility in metal markets. Their novel study was extended by McMillan and Speight [29] and analyzed long-run higher-frequency data, namely the daily settlement prices of six non-ferrous metals. This study underlined the fact that in addition to volatility, non-ferrous metal prices revealed some degree of long memory as well. This behavior in metals was also investigated by Panas [30], and Cochran, Mansur and Odusami [31].
Obviously, the features of metals and oil as strategic commodities justify the economic importance of investigating the relationship between their prices. Meanwhile, the existing literature has not provided any commonly shared insight into the directional relationships between oil and metal prices and how they are related to each other. In one sense, the influence of energy prices (oil and gas) on precious metal prices can be established through export revenue [32]. In order to reduce market risk and maintain commodity value, leading oil exporting countries (such as the USA) use the high revenues gained from selling oil to invest in other resources. Hence, several countries, including major oil producers, keep precious metals as a specific asset in their international reserve portfolios.
In addition, Baffes [33] examines the prices of precious metals exhibiting a strong response to the crude oil price. Evidence of a weak long-run equilibrium relationship was also found between commodities and oil prices, as were strong feedbacks in the short run [34]. In this case, the inflation channel seems to be a common way of clarifying the interrelationship between oil and commodity markets. Consequently, a rise in crude oil prices can lead to an upsurge in the general price level of metals [35]. Thus, large increases in energy prices can cause inflation persistence through the nominal and real rigidities arising from cost adjustments for metals [36]. The rise in inflation strengthened by high oil prices can cause an increase in demand for metals and also leads to a rise in the precious metal gold price [37]. Hence, changing oil prices may have implications for initiating an excess movement together with resource prices [38]. Zhang et al. [39] also produce evidence of high correlations between the prices of oil, gold and exchange rates of the US dollar in the long-run. Meanwhile, several other studies do not support any of these arguments. Definitely, some papers have specified that the price of gold is the forcing variable of the oil price, implying that a common stochastic shock results firstly in movements in commodities which is later followed by the oil price [40]. Li et al. [41] also showed evidence that when economies suffer a positive impulse, carbon emissions will initially rise and then decline, indicating an inverted relationship.
The aim of this paper is to investigate the usefulness of real prices as an indicator of metals and oil in consideration of growth tendencies in the CPI. Also enhancing to the literature on commodity price relationships, the main contribution of this study is the substitution of different proxies in order to justify the effect of oil and scarcity changes on the metal prices examined. In order to determine the existence and direction of correlations, econometric methods, i.e., multivariate linear regressions, co-integration and Granger causality tests are also used. From this perspective, various precious commodities, including gold, platinum group metals (PGMs), and also the technologically important dopant (molybdenum) and non-ferrous (copper, zinc) metals have been chosen for our estimations.
The paper is structured as follows: in Sections 2 and 3 a summary will be given of the datasets and methodologies used to assess long-term price trends, and various non-renewable commodities will be examined in relation to depletion. Section 4 includes various multivariate analyses that focus on the directional and causal relationship between the prices of metals, oil and the scarcity of the commodities examined. Section 5 discuss the main findings of the paper and makes suggestions for further research. Finally, the conclusion and implications of the topic is of crucial importance for investors, policymakers and producers when they have feedback relationships with metals, their scarcity and oil.

Materials and Methods
In the context of inflation bias, the US nominal data (Bureau of Labor Statistics) related to the price deflator were converted to real prices according to the Consumer Price Index (CPI) [42]. Svedberg and Tilton [43] argued that the CPI better reflects the real prices of non-renewable metals in representing the basket of consumer goods and services than does the Producer Price Index (PPI). Although it seems to more accurately assess the effects of commodity price trends on the welfare of society than other deflators do, the CPI overestimates inflation by some percentage points per year [44]. Inaccurately measuring prices and their changes causes negative ramifications in terms of the trade in mineral commodities. There are at least three main reasons why the price indexes overstate inflation. Goods which are new and those which are improved after they have first been launched on the market decrease accumulated prices and indicate pure price (inflation) changes [44]. Costa and Kahn [45] also find that the officially used Laspeyres-index causes substitution bias. In order to correct the upward bias in the CPI, the following equation is calculated, based on [24]: where: [P t ]-is the corrected price index, [g]-represents the coefficients that adjust [CPI] prices to account for inflation bias and-[t] is the time value. There are three inflation bias correction factors considered (g = 0.005, 0.01, 0.015) in the estimations. When investigating the usefulness of real metal prices as an indicator of scarcity, such non-renewable commodities are considered. Nevertheless, the historical prices of mineral commodities derive from the survey conducted by the leading authority, the US Geological Survey [46], and cover the period 1913-2015 in the case of copper, gold, molybdenum, PGMs and zinc. Although Perman et al. [47] accomplishes that consumer market price data are roughly the most appropriate measure of resource scarcity, deflators which are not accurately adjusted can mislead resource policymakers about the real level of them. Hence, in order to claim the presence of correlations between the prices of the selected metals, oil and scarcity, the following multivariate linear regression model is implemented: where ∆ln is the first log difference of the variables, and [P t ]-is the average US producer price of minerals in logarithm for year [t] between 1991 and 2015. The first and the second independent variable of this model is the proxy of depletion, substituted by the variable of [Scarcity] and its lagged [t − 1]. At this point, in order to measure the relationship between mineral prices and resource scarcity, Reserves-to-production ratios were calculated. This proxy equals the division of the reserves of recoverable materials by the amount of their production. The relevant part of the commodity reserve base, and the annual production can be extracted from the Mineral Commodity Summaries [46]. In order to enhance the robustness of our model the variable of oil [Oil] prices is first substituted by the total import prices of crude oil, US dollars/barrel [48] and then by the OPEC Crude Oil Basket prices, USD/barrel [49]. Nevertheless, as an additional control variable, the log of real Gross Domestic Product (GDP) per capita, at a 2010 constant price level in billion USD, is also added from data available on the AMECO Database [50].
[e] is the error term.
In order to improve the validity of our results, not only simple multivariate regressions are studied to determine the relationship between prices of various metals, oil and scarcity. The time series are also individually integrated, although their linear combination has a lesser order of integration, so the series are said to be co-integrated. In this sense, two nonstationary time series tend to move together in the long-run. The most commonly used tests for co-integration identify steady, long-run relationships between unlike sets of variables and have variances and means which diverge over time.
In other words, this method makes it available to estimate the long-run parameters or equilibrium with unit root variables [51]. Here, two methodically popular multivariate techniques are examined, namely the Engle-Granger and the Johansen tests. Granger and Engle [52] firstly formalized a two stage vector approach and constructed residuals (errors) based on the stationary regression. The idea is that the residuals are verified for the existence of unit roots applying ADF or a similar test. In this case, if the time series is co-integrated, the residuals will be closely stationary. The Johansen's test is another improvement over the original Engle-Granger approach [53]. This assessment can detect multiple co-integrating vectors which allows for more than one co-integrating relationship. In addition, the multivariate linear causality relationships are also checked among the prices of various metals, oil and scarcity. The first statistical hypothesis test for determining whether one time series is valuable in forecasting another was proposed by Granger [54]. However, the Granger causality does not imply a true cause-and-effect relationship, but only indicates that two variables will interact with each other in the future.

The Price Trends of the Metals Examined
This section estimates the trend in the prices of the selected metals over the 1913-2015 period using the adjusted CPIs as deflators. As a base case, where the inflation bias is considered to be an annual 1% throughout the period examined, it varies depending on the data available. Beside the base case, some alternative estimates are also provided, taking a bias of 0.5% (low) and 1.5% (high) points per year, as well as the conventional case in which the real price index is left unchanged. At this point, our objective is to demonstrate how the long-run trends in real prices change when the magnitude of the bias varies beyond the range of expected possibilities.
The following figures show the average annual US producer prices of PGMs (Figure 1 Figure 5) for the years 1913-2015, deflated by the CPI and the adjusted time series by 0.5%, 1.0% and 1.5% points a year. In all cases, when there is no adjustment to the CPI, trends are not apparent. In order to make price developments equivalent across the different metals with per metric (ton) prices. The real prices have been indexed by the constant year of 2010 (100%). This method allows us to analyze long-term tendencies in scarce minerals and to match with current price levels to historical data.
There is no quite steady trend in the mineral prices examined over the course of the last century (see Figures 1-5). Indeed, the relatively long periods of stable prices are disturbed by shorter periods of improved volatility. Meanwhile, growth tendencies seem to be more marked, as the annual adjustment to the CPI increases from zero to 1.5% points. However, the inflation bias has not taken into account the fact that price tendencies are not significant, and after the adjustment, the ascending trend becomes more obvious. adjustment to the CPI increases from zero to 1.5% points. However, the inflation bias has not taken into account the fact that price tendencies are not significant, and after the adjustment, the ascending trend becomes more obvious.   adjustment to the CPI increases from zero to 1.5% points. However, the inflation bias has not taken into account the fact that price tendencies are not significant, and after the adjustment, the ascending trend becomes more obvious.   1917  1921  1925  1929  1933  1937  1941  1945  1949  1953  1957  1961  1965  1969  1973  1977  1981  1985  1989  1993  1997  2001  2005  2009  2013 No adjustment Correction of 0.5% Correction of 1% Correction of 1.5%           [46]. Resource prices deflated by the CPI and real prices corrected with zero, 0.5%, 1.0% and 1.5% adjustments [50].
Evaluating the direction and magnitude of tendencies in the real prices of altered non-renewable resources is of substantial interest to market participants [20], not only for mineral and energy, not only for mineral and energy producers who are anticipating their long-term investments, but also because of their extensive policy implications for consumers of mineral products and their host governments. In the period from 1913 to 2015, most trends in mineral commodities were contrary to the prediction of the basic Hotelling model, with a few increasing monotonically. Otherwise, some of them decline, as predicted by Prebisch and Singer. According to the Prebisch-Singer hypothesis, the price of primary commodities decreases relative to the price of manufactured goods and services over the long term, which can cause the trade of production based economies to deteriorate. From this point of view, the price series presents a downward trend over some fraction of the examined period. In the very long run, this deteriorating tendency was a relevant phenomenon for a significant proportion of primary commodities [55]. Meanwhile, others revealed U-shaped patterns, as predicted by Heal [56] and Slade [57]. According to our results, numerous changes in the direction of the longterm trend occurred in the period examined . Consequently, there is no universal tendency in the negative or positive direction for long-run mineral commodity price trends.
Remarkably, over the past decades, the real prices of minerals have increased sharply. However, it is objectively difficult to evaluate whether this phenomena indicates a permanent shift towards increased environmental scarcity. Moreover, higher prices are thought to indicate that mineral commodity resources are becoming less available [58]. Therefore, a decisive element in estimating the scarcity of minerals are market prices. The equilibrium price levels of worldwide demand and supply in resource markets can specify how minerals are appreciated relative to other goods and services. Nevertheless, real prices may be distorted at certain times to determine scarcity and reflect unrealistic assumptions about future output or consumption.
Nevertheless, a brief overview of the previous decades of price developments seems interesting. After prices decreased, beginning in the 1980s, the trend has inverted over the past few years. Real prices of commodities have more than doubled since the 2000s and this indicates a perpetual change in the tendency of mineral prices towards scarcity. In Figure 6, the development of average crude oil prices and mineral (dopant, precious and mass consumable) price data are compared over a thirtyyear period from 1970 to the present. Crude oil prices are a comparatively good approximation for   [46]. Resource prices deflated by the CPI and real prices corrected with zero, 0.5%, 1.0% and 1.5% adjustments [50].
Evaluating the direction and magnitude of tendencies in the real prices of altered non-renewable resources is of substantial interest to market participants [20], not only for mineral and energy, not only for mineral and energy producers who are anticipating their long-term investments, but also because of their extensive policy implications for consumers of mineral products and their host governments. In the period from 1913 to 2015, most trends in mineral commodities were contrary to the prediction of the basic Hotelling model, with a few increasing monotonically. Otherwise, some of them decline, as predicted by Prebisch and Singer. According to the Prebisch-Singer hypothesis, the price of primary commodities decreases relative to the price of manufactured goods and services over the long term, which can cause the trade of production based economies to deteriorate. From this point of view, the price series presents a downward trend over some fraction of the examined period. In the very long run, this deteriorating tendency was a relevant phenomenon for a significant proportion of primary commodities [55]. Meanwhile, others revealed U-shaped patterns, as predicted by Heal [56] and Slade [57]. According to our results, numerous changes in the direction of the long-term trend occurred in the period examined . Consequently, there is no universal tendency in the negative or positive direction for long-run mineral commodity price trends.
Remarkably, over the past decades, the real prices of minerals have increased sharply. However, it is objectively difficult to evaluate whether this phenomena indicates a permanent shift towards increased environmental scarcity. Moreover, higher prices are thought to indicate that mineral commodity resources are becoming less available [58]. Therefore, a decisive element in estimating the scarcity of minerals are market prices. The equilibrium price levels of worldwide demand and supply in resource markets can specify how minerals are appreciated relative to other goods and services. Nevertheless, real prices may be distorted at certain times to determine scarcity and reflect unrealistic assumptions about future output or consumption.
Nevertheless, a brief overview of the previous decades of price developments seems interesting. After prices decreased, beginning in the 1980s, the trend has inverted over the past few years. Real prices of commodities have more than doubled since the 2000s and this indicates a perpetual change in the tendency of mineral prices towards scarcity. In Figure 6, the development of average crude oil prices and mineral (dopant, precious and mass consumable) price data are compared over a thirty-year period from 1970 to the present. Crude oil prices are a comparatively good approximation for the global development of energy and mineral prices as an important input indicator in mineral production because their mining, refining, and transport are all very energy intensive processes. the global development of energy and mineral prices as an important input indicator in mineral production because their mining, refining, and transport are all very energy intensive processes. However, some proofs advocates that the combination of descending pressure on the costs of manufactured goods and upward stress on the costs of mineral commodities that supplemented the 'Great metal boom' (2003)(2004)(2005)(2006)(2007)(2008) in the terms of trade between these resource groups [59]. Recently, the uncertainty of prices of internationally imported resources seems to have appeared as regards their future expansion. This occurrence is strongly forced by Asian demand from a number of emerging economies and markets, such as China, India and Pakistan, etc.
It is undeniable that the expansion of mineral prices is remarkable parallel with the evolution of the crude oil price series. It is remarkable to note that the contemporary tendencies in mineral prices correspond closely to the parallel upsurge in real oil prices. The measures taken by Asian industries, as major consumers and exporters of metals demonstrate how serious the hazard to resource scarcity is. The rising importance of rare metals then also transmits a novel risk component to be considered by both energy market participants and policymakers.

Analyzing the Relationship between the Prices and the Scarcity of Non-Renewable Resources
The literature on mass consumable metals, including copper, lead, nickel, zinc and tin, as well as dopants and precious metals such as gold, platinum and silver is already considerable. Whereas mass consumables are quarried in volumes of millions of tons per year, only a few amount of doping agents and fewer precious metals are supplied to global mineral marketplaces yearly. Although doping agents (dopants) are commonly manufactured in much smaller quantities, as additives in composites or steel alloys are widely sustained [6].
Copper is a non-ferrous base and transition metal occurring naturally in all plants and animals as an indispensable element for all identified living organisms. Its ability to conduct electricity and heat makes it available for electrical applications. Its resistance to corrosion gives it further utility in architecture, primarily as a roofing material. Zinc is also a chemical component and a transition metal most frequently exploited as an anti-corrosion agent through the procedure of galvanization. Its relative reactivity and capability to attract oxidation makes it widely spread, primarily as an additive to plastics, ceramics, cement, batteries and in foods etc. as an essence of zinc nutrient. Molybdenum the global development of energy and mineral prices as an important input indicator in mineral production because their mining, refining, and transport are all very energy intensive processes. However, some proofs advocates that the combination of descending pressure on the costs of manufactured goods and upward stress on the costs of mineral commodities that supplemented the 'Great metal boom' (2003)(2004)(2005)(2006)(2007)(2008) in the terms of trade between these resource groups [59]. Recently, the uncertainty of prices of internationally imported resources seems to have appeared as regards their future expansion. This occurrence is strongly forced by Asian demand from a number of emerging economies and markets, such as China, India and Pakistan, etc.
It is undeniable that the expansion of mineral prices is remarkable parallel with the evolution of the crude oil price series. It is remarkable to note that the contemporary tendencies in mineral prices correspond closely to the parallel upsurge in real oil prices. The measures taken by Asian industries, as major consumers and exporters of metals demonstrate how serious the hazard to resource scarcity is. The rising importance of rare metals then also transmits a novel risk component to be considered by both energy market participants and policymakers.

Analyzing the Relationship between the Prices and the Scarcity of Non-Renewable Resources
The literature on mass consumable metals, including copper, lead, nickel, zinc and tin, as well as dopants and precious metals such as gold, platinum and silver is already considerable. Whereas mass consumables are quarried in volumes of millions of tons per year, only a few amount of doping agents and fewer precious metals are supplied to global mineral marketplaces yearly. Although doping agents (dopants) are commonly manufactured in much smaller quantities, as additives in composites or steel alloys are widely sustained [6].
Copper is a non-ferrous base and transition metal occurring naturally in all plants and animals as an indispensable element for all identified living organisms. Its ability to conduct electricity and heat makes it available for electrical applications. Its resistance to corrosion gives it further utility in architecture, primarily as a roofing material. Zinc is also a chemical component and a transition metal most frequently exploited as an anti-corrosion agent through the procedure of galvanization. Its relative reactivity and capability to attract oxidation makes it widely spread, primarily as an additive to plastics, ceramics, cement, batteries and in foods etc. as an essence of zinc nutrient. Molybdenum the global development of energy and mineral prices as an important input indicator in mineral production because their mining, refining, and transport are all very energy intensive processes. However, some proofs advocates that the combination of descending pressure on the costs of manufactured goods and upward stress on the costs of mineral commodities that supplemented the 'Great metal boom' (2003)(2004)(2005)(2006)(2007)(2008) in the terms of trade between these resource groups [59]. Recently, the uncertainty of prices of internationally imported resources seems to have appeared as regards their future expansion. This occurrence is strongly forced by Asian demand from a number of emerging economies and markets, such as China, India and Pakistan, etc.
It is undeniable that the expansion of mineral prices is remarkable parallel with the evolution of the crude oil price series. It is remarkable to note that the contemporary tendencies in mineral prices correspond closely to the parallel upsurge in real oil prices. The measures taken by Asian industries, as major consumers and exporters of metals demonstrate how serious the hazard to resource scarcity is. The rising importance of rare metals then also transmits a novel risk component to be considered by both energy market participants and policymakers.

Analyzing the Relationship between the Prices and the Scarcity of Non-Renewable Resources
The literature on mass consumable metals, including copper, lead, nickel, zinc and tin, as well as dopants and precious metals such as gold, platinum and silver is already considerable. Whereas mass consumables are quarried in volumes of millions of tons per year, only a few amount of doping agents and fewer precious metals are supplied to global mineral marketplaces yearly. Although doping agents (dopants) are commonly manufactured in much smaller quantities, as additives in composites or steel alloys are widely sustained [6].
Copper is a non-ferrous base and transition metal occurring naturally in all plants and animals as an indispensable element for all identified living organisms. Its ability to conduct electricity and heat makes it available for electrical applications. Its resistance to corrosion gives it further utility in architecture, primarily as a roofing material. Zinc is also a chemical component and a transition metal most frequently exploited as an anti-corrosion agent through the procedure of galvanization. Its relative reactivity and capability to attract oxidation makes it widely spread, primarily as an additive to plastics, ceramics, cement, batteries and in foods etc. as an essence of zinc nutrient. Molybdenum the global development of energy and mineral prices as an important input indicator in mineral production because their mining, refining, and transport are all very energy intensive processes. However, some proofs advocates that the combination of descending pressure on the costs of manufactured goods and upward stress on the costs of mineral commodities that supplemented the 'Great metal boom' (2003)(2004)(2005)(2006)(2007)(2008) in the terms of trade between these resource groups [59]. Recently, the uncertainty of prices of internationally imported resources seems to have appeared as regards their future expansion. This occurrence is strongly forced by Asian demand from a number of emerging economies and markets, such as China, India and Pakistan, etc.
It is undeniable that the expansion of mineral prices is remarkable parallel with the evolution of the crude oil price series. It is remarkable to note that the contemporary tendencies in mineral prices correspond closely to the parallel upsurge in real oil prices. The measures taken by Asian industries, as major consumers and exporters of metals demonstrate how serious the hazard to resource scarcity is. The rising importance of rare metals then also transmits a novel risk component to be considered by both energy market participants and policymakers.

Analyzing the Relationship between the Prices and the Scarcity of Non-Renewable Resources
The literature on mass consumable metals, including copper, lead, nickel, zinc and tin, as well as dopants and precious metals such as gold, platinum and silver is already considerable. Whereas mass consumables are quarried in volumes of millions of tons per year, only a few amount of doping agents and fewer precious metals are supplied to global mineral marketplaces yearly. Although doping agents (dopants) are commonly manufactured in much smaller quantities, as additives in composites or steel alloys are widely sustained [6].
Copper is a non-ferrous base and transition metal occurring naturally in all plants and animals as an indispensable element for all identified living organisms. Its ability to conduct electricity and heat makes it available for electrical applications. Its resistance to corrosion gives it further utility in architecture, primarily as a roofing material. Zinc is also a chemical component and a transition metal most frequently exploited as an anti-corrosion agent through the procedure of galvanization. Its relative reactivity and capability to attract oxidation makes it widely spread, primarily as an additive to plastics, ceramics, cement, batteries and in foods etc. as an essence of zinc nutrient. Molybdenum the global development of energy and mineral prices as an important input indicator in mineral production because their mining, refining, and transport are all very energy intensive processes. However, some proofs advocates that the combination of descending pressure on the costs of manufactured goods and upward stress on the costs of mineral commodities that supplemented the 'Great metal boom' (2003)(2004)(2005)(2006)(2007)(2008) in the terms of trade between these resource groups [59]. Recently, the uncertainty of prices of internationally imported resources seems to have appeared as regards their future expansion. This occurrence is strongly forced by Asian demand from a number of emerging economies and markets, such as China, India and Pakistan, etc.
It is undeniable that the expansion of mineral prices is remarkable parallel with the evolution of the crude oil price series. It is remarkable to note that the contemporary tendencies in mineral prices correspond closely to the parallel upsurge in real oil prices. The measures taken by Asian industries, as major consumers and exporters of metals demonstrate how serious the hazard to resource scarcity is. The rising importance of rare metals then also transmits a novel risk component to be considered by both energy market participants and policymakers.

Analyzing the Relationship between the Prices and the Scarcity of Non-Renewable Resources
The literature on mass consumable metals, including copper, lead, nickel, zinc and tin, as well as dopants and precious metals such as gold, platinum and silver is already considerable. Whereas mass consumables are quarried in volumes of millions of tons per year, only a few amount of doping agents and fewer precious metals are supplied to global mineral marketplaces yearly. Although doping agents (dopants) are commonly manufactured in much smaller quantities, as additives in composites or steel alloys are widely sustained [6].
Copper is a non-ferrous base and transition metal occurring naturally in all plants and animals as an indispensable element for all identified living organisms. Its ability to conduct electricity and heat makes it available for electrical applications. Its resistance to corrosion gives it further utility in architecture, primarily as a roofing material. Zinc is also a chemical component and a transition metal most frequently exploited as an anti-corrosion agent through the procedure of galvanization. Its relative reactivity and capability to attract oxidation makes it widely spread, primarily as an additive to plastics, ceramics, cement, batteries and in foods etc. as an essence of zinc nutrient. Molybdenum crude oil prices.
However, some proofs advocates that the combination of descending pressure on the costs of manufactured goods and upward stress on the costs of mineral commodities that supplemented the 'Great metal boom' (2003)(2004)(2005)(2006)(2007)(2008) in the terms of trade between these resource groups [59]. Recently, the uncertainty of prices of internationally imported resources seems to have appeared as regards their future expansion. This occurrence is strongly forced by Asian demand from a number of emerging economies and markets, such as China, India and Pakistan, etc.
It is undeniable that the expansion of mineral prices is remarkable parallel with the evolution of the crude oil price series. It is remarkable to note that the contemporary tendencies in mineral prices correspond closely to the parallel upsurge in real oil prices. The measures taken by Asian industries, as major consumers and exporters of metals demonstrate how serious the hazard to resource scarcity is. The rising importance of rare metals then also transmits a novel risk component to be considered by both energy market participants and policymakers.

Analyzing the Relationship between the Prices and the Scarcity of Non-Renewable Resources
The literature on mass consumable metals, including copper, lead, nickel, zinc and tin, as well as dopants and precious metals such as gold, platinum and silver is already considerable. Whereas mass consumables are quarried in volumes of millions of tons per year, only a few amount of doping agents and fewer precious metals are supplied to global mineral marketplaces yearly. Although doping agents (dopants) are commonly manufactured in much smaller quantities, as additives in composites or steel alloys are widely sustained [6].
Copper is a non-ferrous base and transition metal occurring naturally in all plants and animals as an indispensable element for all identified living organisms. Its ability to conduct electricity and heat makes it available for electrical applications. Its resistance to corrosion gives it further utility in architecture, primarily as a roofing material. Zinc is also a chemical component and a transition metal most frequently exploited as an anti-corrosion agent through the procedure of galvanization. Its relative reactivity and capability to attract oxidation makes it widely spread, primarily as an additive to plastics, ceramics, cement, batteries and in foods etc. as an essence of zinc nutrient. Molybdenum is both a chemical element and a transition metal with variety of their oxidation states in minerals. It can resist extreme temperatures without expanding or softening and is beneficial in the construction of various products, such as aircraft parts, industrial motors and filaments etc. [6].
A subsection of precious metals is the Platinum Group Metals (PGMs) that consists of six chemical elements, namely platinum, palladium, iridium, osmium, rhodium and ruthenium. PGMs can drive as substances, which makes them appropriate in numerous industrial applications. The PGMs have similar properties and have been treated as waste products. The PGMs have become gradually exclusively for the energy industry, where numerous elements are applied as catalysts in chemical reactions. Gold is one of the least reactive chemical elements. Gold is also resistant to most acids, and as a precious metal has been used for coinage, jewelry, and other arts throughout its long history. Its extraordinary malleability, ductility, resistance to corrosion and electrical conductivity have led to its use in corrosion resistant electrical applications in all types of computerized, medical and industrial devices [60].
Some of these metals are characterized by physical rarity, some by economic scarcity, and some by both [61]. A scarce metal may be rare and a rare metal is commonly also scare; however, there is no necessary relationship between rarity and scarcity. Rarity is determined by the relative physical abundance of an element. Scarcity is determined by the cost of acquisition under given conditions of time and place and must be expressed in value terms, rather than in physical terms. Henckens et al. [16] clarified the distinction between scarcity levels in orders of magnitude of the exhaustion of altered metals. Under the assumption that the extraction of all elements will increase annually by 3% until 2050, scarce (<100), moderately scarce (100 < 1000) and not scarce (>1000) are categories which reflect extractable global resources (EGR) over time. Gold, zinc and molybdenum are scarce, and copper is a moderately scarce mineral, which highlights the fact that they will no longer be possible for future exploitation to the extent and at the price that commodities are available for the present generation. From this perspective, PGMs are not scarce metals.
Research on economic indicators of resource scarcity is a scientific endeavour and one of the advanced features of environmental and resouce economics disciplines [62]. From this perspective, the reserves-to-production ratios (R/Ps) are frequently applied as a scarcity indicator, measuring the number of years that the particular mineral will be still available to economies. The ratio of reserves or resources to the annual extraction (range) is also known as the static duration period. The lesser the range, the more pressing is the need for exploration. Several authors estimate this range as the availability in years for a number of materials. Diederen [63] supposed the production growth of materials to be 2% per annum. Others intended the fractions of over-all reserves to annual depletion for mineral and energy commodities [64].
In this section, we can demonstrate that both reserves of examined resources and extraction rates are likely to have been constant or have changed gradually in the period 1991-2015. Figure 7 shows that the scarcest of the analyzed metals is gold, with approximately 14 years supply in 2015. The next is copper with a little more than cc. 32 years availability if production is supposed to last at the current rate. However, the US economy is not likely to run out of PGMs and zinc in the near future (cc. 55 and 88 years). These findings are roughly similar to the calculations of Mayer and Gleich [65].  Tables 1 and 2 show the corresponding results of our regression estimations. In order to confirm how resource scarcity, oil prices etc. affect mineral prices, OLS regressions were carried out with reliable and heteroscedasticity corrected results. The significant level of F statistics, the normality tests of the residuals in all models suggest that our model specifications should be preferred. Durbin Watson tests are used to detect the absence of autocorrelation in the residuals from our regression analysis. One of the standard statements of OLS regression is that the residuals are independent and normally distributed. In this perspective, the Chi-square (χ 2 ) tests are also reported to prove this assumption. Therefore, the so-called Ramsey's Regression Equation Specification Error Test (RESET) is reported as a general specification for the examination of linear regression model robustness. More precisely, it exams whether non-linear combinations of the fitted values are able to support the explanation of the response variable. According to the assumption, if the null hypothesis of the F-test can be rejected (only in the case of molybdenum at a 0.05% p-level) a polynomial or another nonlinear functional form might approximate better.   Tables 1 and 2 show the corresponding results of our regression estimations. In order to confirm how resource scarcity, oil prices etc. affect mineral prices, OLS regressions were carried out with reliable and heteroscedasticity corrected results. The significant level of F statistics, the normality tests of the residuals in all models suggest that our model specifications should be preferred. Durbin Watson tests are used to detect the absence of autocorrelation in the residuals from our regression analysis. One of the standard statements of OLS regression is that the residuals are independent and normally distributed. In this perspective, the Chi-square (χ 2 ) tests are also reported to prove this assumption. Therefore, the so-called Ramsey's Regression Equation Specification Error Test (RESET) is reported as a general specification for the examination of linear regression model robustness. More precisely, it exams whether non-linear combinations of the fitted values are able to support the explanation of the response variable. According to the assumption, if the null hypothesis of the F-test can be rejected (only in the case of molybdenum at a 0.05% p-level) a polynomial or another non-linear functional form might approximate better.  [46][47][48][49]. Heteroscedasticity (HAC) robust t-statistics are indexed with p-values referring to its probability: ***: significance at 1%, **: 5%, *: 10%. In the bottom section of these tables, multi-collinearity amongst the independent variables is also tested by the variance inflation factor (VIF) in each case. VIF values for the regression coefficients range from a low of 1.00 to a high of 1.811. Only the maximum of individual values are reported, and both of them suggest that the VIF values are at acceptable levels (10 is the maximum).
Since all the series are integrated of the first order, I(1), this suggests a possibility of the presence of co-integrating relationship among variables. In order to explore such possibilities, Engle-Granger and Johansen multivariate test are performed to analyze for the existence of long run relationships between each pair of metal and crude oil prices, scarcity and economic growth per annum. Based on the results of the Engle-Granger DF tests, the unit-root hypothesis can be rejected for the residuals from the co-integrating regression in the case of copper and PGMs. However, the substantial results of the Johansen tests indicate that each pair of variables seems to be co-integrated at a 10% significance level. Consequently, there is a valid representation of the long-run relationship between the prices of commodities, their scarcity and crude oil prices.
Although Henckens et al. [66] claimed that there has been no correlation between the market prices of mineral resources and their geological scarcity, we found that the effects of the R/P ratios are significantly and negatively correlated with gold, molybdenum, PGMs and zinc. However, if there is a unit increase in the range of scarcity it will reduce the price level of each metal. In other words, the greater the depletion, the greater should be the price growth of the commodities in the future. The only exception was copper. At this point, the lack of significance could only mean that the changing scarcity ratios do not indicate price growth in the case of copper at a given level of other determinants.
Thus, an increase in oil-prices (in both crude oil and OPEC basket cases) positively affects the price level of each of the non-renewable resources examined. Only in the case of molybdenum do we find no significant t-statistics. In other words, the increasing level of energy prices resulted in an increase in the price levels of commodities. The results of other researchers also demonstrated that international oil prices play an important and similar role in metal price variations [67]. Several studies also support our results, e.g., Sari et al. [34] explored the relations between the spot price of various precious metals (gold, silver, platinum, and palladium), and oil and the USD/€ exchange rate, and found an uneven relationship. Thus, in our results, growth of output per capita is positively related to the price growth of the resources examined. Only in the case of copper and molybdenum were we unable to find significant statistics.
Since the variables are in first differences and co-integrated, a multivariate Granger causality analysis is performed to find the valid long-run interrelationships between the price of metals, oil and scarcity. The findings (Table 3) suggest that pairwise relationships among the variables are not only limited to the short-run, but similarly seem to be arise in the long-run, as well. In the case of Zinc, Molybdenum and PGMs, the results (at a 10% p-level) from the Granger causality analysis support the idea that commodity prices are interrelated through the inflation channel. In other words, in the long-run, rising oil prices can generate a higher inflation bias, which strengthens the demand on the metal markets and hence pushes up their prices. These finding are in accordance with the results of Zhang et al. [39] on examining the long-term causal interrelationship between oil and metal markets. Their findings also indicate that a percentage change in crude oil returns significantly and linearly Granger-cause the percentage change in metal price returns. Furthermore, the association of scarcity of copper and PGMs on the crude oil price has the same sign, indicating that a rise in R/P ratios of metals (less scarcity) will increase oil prices in the long run.  [46][47][48][49]. χ 2 -statistics in parenthesis are indexed with p-values referring to its probability: ***: significance at 1%, **: 5%, *: 10%. Lag order = 2.

Discussion
This research paper investigates the usefulness of scarcity as an indicator of the real prices of commodities, in consideration of the essential tendencies in the CPI. Nevertheless, the relative price of any commodity is subject to competing long-run pulls from their aggregate costs, and improving technologies. The broad tendencies seem to be different for various commodities and at different points of view in history. Technological improvements appear to have kept ahead of depleted mines and swelling burdens for over a century. However, the relative prices of many primary commodities have increased sharply since 2000. For mass consumables, such as copper, zinc etc. it is difficult to dismiss the price tendencies over the last decade as a temporary anomaly. Consequently, it seems to be worth using this approach to examine additional resources. From this perspective, there is a need for improved methods that use these factors to determine their effects on additional metal and energy resources [68].
Although the real risk of resource depletion has been debated for a long time [69], it is still questionable whether this depletion should be viewed as a real threat or not. Essentially, international trade is able to smooth the development of the scarcity of materials and can contribute to the mitigation of its consequences. Additionally, advanced technological improvements also reduce the consumption of non-renewable raw materials, which is another important component in the assessment of resource scarcity. The environmental and social problems related to global production and consumption in a context of scarcity are also matters of concern [70]. Thus, the reduction in the use of primary antimony can be attained through a mixture of substitution, better material efficiency and recycling [71]. Moreover, acknowledging the expanded role of recycling systems in sustaining the stocks of those minerals which have accumulated in economies, and continuing this development, will be one of the main sustainable goals of policy and decision makers, and will be essential in order to solve scarcity problems appropriately [72].
Essentially, one of the limitations of our results is that this research has demonstrated only one characteristic of the relationship between the prices of resources and their scarcity. Notwithstanding, the results of Gleich et al. [11] and Korzh et al. [73] highlighted that the prices of raw materials are significantly influenced by additional material-specific and other general, economic indicators. Besides inflation, other factors, i.e., output and population changes, the substitutability of resources, and market concentration etc., can also be related to price levels in the long run. Nevertheless, a more realistic relationship between the scarcity and abundance of a mineral must also be considered within its social, physical and environmental context [74][75][76].
However, solid implications can only be drawn if supplementary non-renewable commodities are taken into consideration to determine their effects in future research directions. Beside scarcity, other factors, i.e., the characteristics of production and its concentration etc., should also be considered to determine the valid relationship between the prices of non-renewable metals and energy (oil, gas etc.) resources. Therefore, the validity of our results is limited by the bias caused by the exclusion of the variables omitted from, and the limitations of, our linear models. Moreover, we also agree that additional multivariate (nonlinear) causality and symmetry tests are needed among the prices of metals, oil and scarcity from this perspective.

Conclusions and Implications
Economists still debate the availability and sustainability of metal resources [77] and argue that some of them, such as copper, zinc and platinum, etc., will become scarcer in the future. Since a number of studies have focused on relationships between oil and commodity prices, this gives greater opportunities for further studies in this research area.
Although there is no clear evidence in the literature regarding any existing correlation between the market prices of mineral resources and their scarcity, we found that the growth effects of the R/P ratios are significant and negatively correlated with the price development of the metals examined. However, these results would clearly support authorities and policy makers in monitoring and predicting the prices and predicting the depletion of major commodities in the resource markets. These findings also point to the importance of the essential question for future generations of how to prevent mineral scarcity without an increase in the expected prices of these resources. We also argue that the current market systems of non-renewable resources will not be sufficient for the price conservation of scarce minerals. At this point, a phenomenon will appear in which resource prices are expected to increase rapidly when geological scarcity is nearly exhausted.
Another contribution of this study is the substitution of different proxies in order to consider the interrelation between oil and metal prices and their scarcity changes in the short and long run. In both crude oil and OPEC basket cases, we found that an increase in oil-prices positively affects the price level of each of the non-renewable resources examined in the short-run. In other words, the increasing level of energy prices resulted in an increase in the price levels of commodities. Thus, the Granger causality tests suggested pairwise relationships among these commodity prices that can be interrelated through the inflation channel in the long-run. These findings for investors who included US dollar denominated assets in their portfolios imply that oil and metals could be close substitutes as safe havens from fluctuations in the US exchange rates. Further research can also be directed on evaluating the volatility, risk and spillover effects among other commodities, which suggests that the influence of energy resources on global economic growth shows more extensive, and its role in the great commodity marketplaces has concerned more attention in latest years [41].
Moreover, current technological advances are the result of the recent economic crisis, but in times of prosperity the mineral industry increased investment in search of 'brownfields' rather than in discovering new types of mineral deposits, i.e., 'green fields'. Furthermore, a series of mergers among large companies is concentrating mineral production in a few hands [78]. Thus, there is a growing concern about how to minimize the impact of human activities on the environment [79]. In particular, complementary resource policies include the emission taxes and innovation subsidies for the sustainable use of natural resources [80]. Overall, we believe that our approach can contribute to a better understanding of scarcity problems, which is one of the essential elements of institutional arrangements in ensuring the success of sustainable resource policies to reduce depletion.