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By Rodrigo Ladrón, Gonzalo Rund, Gonzalo Montes-Atenas

Modelling ore comminution processes have been a highly fruitful scientific topic. The models have been proved to be largely dependent on the selected comminution technology. Among them, semiautogenous (SAG) mill technology has been widespread implemented in plants but no complete understanding of the mechanisms involved in the process is available. Tracing back in history, SAG models considered only some granulometric cut sizes such as the t10 and attempted to relate these parameters with the energy involved in the impact between particles. Other models evolved towards incorporating physical properties of the material being ground and the mill operating conditions. These material properties have assisted to obtain a more comprehensive description of the breakage mechanisms; nevertheless, the gathering of all known parameters still have not delivered a model able to describe the process. This may be a result of emergent properties or phenomena originated from interactions inside the process which are hard to predict turning the size reduction operation into a complex system. Cellular automata provide one answer to describe complex systems by following simple rules. The aim of this research work is to establish the preliminary rules of thumbs enabling the implementation of cellular automata able to predict the particle size distribution at the exit of a SAG mill. The methodology involved developing a simple 2D model of a ROM sample. Plant data from two mine sites were correctly described by a set of three rules: two rules describing the particle reduction and one rule associated with material transport across the mill. Further analysis related with expanding this model to 3D and its impact on the liberation of valuable material is also discussed.

Jan 1, 2014

By L. Y. Wang

In order to produce the iron and steel products with high quality and decrease the output of steel tailings, the quality of molten iron is a critical factor for iron and steel companies, especially the content of sulfidic in molten iron. Hot metal pre-treatment, an important and effective method to desulphur, is widely used in steel production. Millions of tons of slag from desulphurization and slag skimming are produced each year in China, and many more times this amount is stored in slag dams because of the lack of effective means to deal with it. In order to achieve the goal of sustain-able development, recycling these slag becomes necessary. The main objective of this paper is to study the composition characteristics of slag that from desulphurization and slag skimming. The sample was obtained from Anshan Iron and Steel Group Corporation, processed by hot metal pre-treatment. In this study, the chemical components and the mineral compositions of sample were tested. The results of chemical components and iron chemistry phase analysis showed that the iron and sulphide content in this sample were high, and the iron products existed mainly in the form of magnetite, metallic iron, ferrosilite. X-ray diffraction (XRD) and scanning electron microscope (SEM) results indicated that the sample included metallic iron, ferrate, wustite, metasilicate, aluminate, aluminosilicate, white lime and soon. Grading magnetic separation test work showed that magnetic separation was an effective method to recovery iron products and decrease the sulphide content in concentrate, and the tailing could be used as the raw material or padding in cement production.

Jan 1, 2014

By Jochen Petersen, Steven Bradshaw, Guven Akdogan, Ngoie Mpinga, James Mwase, Jacques Eksteen, Cornelius Snyders

"The platinum group metals (PGMs) and associated minerals are particularly refractory to most traditional direct leach processes. However, the remoteness of many new ore deposits, socio-political risks, the scarcity of skilled labor and constraints on the availability of water and electrical power makes it increasingly more difficult to implement the conventional mill-float-smelt-refine process routes to extract and refine PGMs in remote areas. This paper discusses a process to extract PGM’s from low grade ore and concentrate using a sequential stage heap leach process entailing heap bioleaching and high temperature cyanide leaching, and evaluates the feasibility of implementing a carbon-in-pulp process to recover the PGMs from the pregnant leach solution. The heap bioleaching extracts the base metals in an acidic sulfate medium using a mixed culture of thermophiles. After heap bioleaching the heap is reclaimed, rinsed, agglomerated and restacked for high temperature cyanide leaching where the cyanide liquor is directly heated via solar energy in panels. Palladium, gold and platinum are recovered during the cyanide leaching stage. The pregnant leach solution was evaluated for potential carbon-in-pulp adsorption and subsequent elution similar to gold processing. The kinetics of adsorption and elution compared well with gold adsorption and elution."

Jan 1, 2014

By Kunihiko Yamaguchi, Gjergj Dodbiba, Toyohisa Fujita

Usually magnetic separation is performed to separate ferromagnetic, paramagnetic and diamagnetic particles by controlling magnetic field strength. In this research the wet high gradient magnetic separation at various kinds of magnetization of medium has been investigated to separate different kinds of magnetization of paramagnetic mineral particles from each other. Most of week paramagnetic particles are captured at high magnetic field using superconducting magnet. If the magnetization of fluid is larger than that of paramagnetic particle, the paramagnetic particle cannot be captured in the direction of magnetic field. The paramagnetic particles of different magnetization such as hematite, chromium oxide, perovskite and rutile are separated in different magnetization of fluids. These particles are present in the incinerated bottom ash. The separation is useful to recover titanium oxide from bottom ash and the removal of chromium of bottom ash is important to reuse the bottom ash as cement. The used fluids are paramagnetic liquids dissolving paramagnetic salts and the water based magnetic fluid dispersing the stable ultrafine magnetite. The dispersion condition of particles related to zeta-potential of the suspension feed is also important to separate effectively by controlling pH

Jan 1, 2014

By Chuanyao Sun, Yang Yu, Zhen Guo Song, Wei. Ming’An

"Carbonate minerals are very important mineral source of extracting metal, radioactive element and rare earth elements. Furthermore,some carbonate minerals, such as calcite and dolomite, are common and important components of sediments and sedimentary rocks. Many flotation processes involve the separation of valuable minerals with carbonate minerals. So it is of great significance to the flotation theory and industrial practice to investigate the flotation behaviors of carbonate minerals. As regulators, metal ions play a major role in minerals flotation. The study of influence law of metal ions on minerals flotation is helpful to eliminate or utilize the effect of metal ions. In this study, calcite and smithsonite laboratory scale flotation, surface analysis and zeta potential determination in the presence of Fe(II) ion were performed to investigate the effect of Fe(II) on carbonate flotation. The results show that Fe(?) depresses the flotation of calcite and smithsonite. The depression effect of Fe species on calcite and calamine flotation can be improved with the increase of Fe(?) concentration. The zeta potential measurements and surface analysis show the existence of iron hydroxide products on mineral surface, which may be link to carbonate site instead of exchanging with calcium on the mineral surface. Fe species on the mineral surface inhibit the interaction between the reagents and calcite/smithsonite through the formation of surface precipitation coating on the calcite/smithsonite surface when the Fe(?) concentration is higher."

Jan 1, 2014

By Paulo Braga, Carlos Junior, Silvia França

"Lithium is the lightest of the metals, with high reactivity and great electrochemical potential. It has a low thermal expansion coefficient and high caloric value, and it forms very light and resistant aluminium alloys. These properties make lithium an attractive element for use in battery manufacture and glass and ceramics production, in addition to its applications in the aeronautic industry. Today, two sources of raw material are economically viable for lithium production: pegmatite rocks and brine. The world production, in 2012, was approximately 150,000 tons of LCE (lithium carbonate equivalent), almost triple the production in 2000. The forecasted consumption for the current year, 2013, was approximately 162,000 tons of LCE, and for 2020, it could be as much as 280,000 tons of LCE, stimulated essentially by the growth of world production of electric (EV), hybrid (HEV) and hybrid plug-in vehicles (PHEV), the batteries of which are based on Li-ions. With the growth of world demand and increasing prices, lithium minerals such as spodumene, petalite and amblygonite, once considered uneconomical for the production of lithium carbonate, are regaining their economic value. New projects to produce lithium compounds based on mineral sources are being developed in many countries, aiming to produce battery-grade lithium carbonate (99.95% Li2CO3). Although Brazil has large lithium pegmatite reserves, the domestic production of lithium carbonate and hydroxide is very low, at approximately 600 tons of LCE, which represents 0.4% of the world production. The application of these products is mostly in the grease and ceramic industries. The national lithium market is under government protection due to its potential use for nuclear purposes. Thus, the industrialization activities and import and export of ores and lithium minerals, as well as organic and inorganic products, such as metallic lithium and lithium alloys, are controlled by the National Commission for Nuclear Energy (Comissão Nacional de Energia Nuclear - CNEN). The objectives of this work to quantify the real lithium demand in the Brazilian market, considering that a large amount of lithium is indirectly imported in the form of the Li-ion batteries used in equipment such as mobile phones, cameras, tablets, notebooks and e-bikes, and to compare this demand with the current national production of LCE. Finally, some technological alternatives will be discussed, with the aim of increasing the competitiveness of the lithium industry in Brazil."

Jan 1, 2014

By Nirmal Weerasekara, Malcolm Powell, Mohsen Yahyaei

"The conditions under which rocks become superficially damaged during the grinding process are not well understood. The main purpose of the work presented here is to understand how superficial breakage occurs under incremental low-energy impacts. To enable this study a series of abrasion tests with multi-size pilot mills have been performed. Outcomes of numerical simulation corresponding to each test were examined to investigate the experimental results. Abrasion tests have been conducted using three grinding mill sizes (i.e. 1.8, 1.2, and 0.8 m). Two types of ore were used to investigate different hardness strengths. To ensure abrasion was the dominant mechanism, in all tests the mill speed was reduced to 40% of critical speed. The relationship between the Fractional mass loss rate and particle size was investigated by randomly collecting seven tracer particles from sizes -73+63, -53+45, and -37.5+31.5 mm. It was evident from the results that the Fractional mass loss rate of angular particles declines as the particle size increases whereas the Fractional mass loss rate decreases from fine to coarse in rounded particles. Results of Discrete Element Method (DEM) simulations indicate that fine particles experience higher levels of collision energy per particle and this value reduces as the particle size increases and mill size reduces. This explains the higher Fractional mass loss rate of smaller particles as well as the increase in the Fractional mass loss rate as the mill size increases. Linked DEM and experimental data indicates that under these test conditions surface damage attrition is the dominant mechanism. This work suggests that DEM simulation can be implemented to predict the abrasion wear of particles in mills."

Jan 1, 2014

By K. Adham, C. T. Harris

Arsenic is often associated with copper, nickel and gold in sulphide deposits. This paper describes a two-stage high-temperature fluid bed reactor for the removal and fixation of As from ores and concentrates. The first (bottom) stage of reactor removes the As through a neutral roast, by volatilization as mostly sulphide species. The second (top) stage of reactor captures the As from the gas phase through oxidative fixation, as a stable iron arsenate, by reaction with an appropriate iron source (sulphide or oxide). The second stage is placed on top of the first, so that their combined function can be achieved in a simple two-stage fluid bed arrangement, with the bottom stage off-gas providing the top stage fluidization.

Jan 1, 2014

By Arman Ehsani, Ersin Yazici, Haci Deveci

The downstream treatment of chloride leach solutions of WPCB for recovery of base and precious metals by a combination of adsorption and precipitation processes were carried out. A synthetic leach solution (1 M HCl, 116.5 g/L Cl-, 30 g/L Cu2+, 2.5 g/L Fe3+, 5 mg/L Au3+, 10 mg/L Ag+ and 20 mg/L Pd2+), which was prepared based on the composition of the pregnant leach solution obtained in the previous study was used in the tests. The leach solution was initially subjected to activated carbon (AC) adsorption (20 g/L AC, 80°C) in which gold was selectively recovered over silver and palladium i.e., 88% Au recovery at 0.5 h (92% at 3.5 h) compared with only 3-6% for Ag/Pd. Copper and iron were also observed to adsorb on AC as indicated by 1.4% and 17% decline, in their respective concentrations. Following the adsorption and filtration stage, metallic copper was added into the gold-barren solution to allow reduction of Cu2+ to Cu+, and to cement Pd on metallic copper. Over the mixing period (1 h), 93% of the Pd was recovered while only 1.4% of silver was cemented onto metallic copper. Subsequently, the leach solution was gradually neutralised by NaOH to pH 4, 7.5 and 9.5 for the precipitation of copper as cuprite (Cu2O). It was found that 41% and 46% of Cu and Ag, respectively, were precipitated at pH 4 at which iron was almost totally (99.8%) removed from solution. Precipitation of copper and silver was increased further at high pHs. At pH 9.5, cumulative recoveries for copper and silver were 91% and 85%, respectively. XRD analysis of the precipitates confirmed the presence of cupric copper oxides/hydroxides and revealed that copper losses occurred at pH 4 was due to the undesired presence of cupric copper in the solution.

Jan 1, 2014

By Milind Sabne, Pradip, P Kapur, Beena Rai

"The efficiency of an industrial flotation circuit depends on (a) the selectivity and the kinetics of the reagent combination selected for the separation (b) the hydrodynamic conditions prevailing in the flotation cell (essentially equipment design parameters) affecting both the pulp and froth phase (c) the operating parameters such as feed rate, pulp density, pH, temperature etc. including the mineralogy, particle size distribution and relative proportion of liberated and composite particles of constituent minerals in the feed to flotation circuit and (d) the circuit configuration itself. We have developed a molecular modelling based reagent design and selection framework to assist mineral engineers to arrive at the preferred reagent combination based on a rigorous, scientific and quantitative comparison of various options available for this purpose. Similarly we have also utilized a general circuit design methodology proposed by Kapur and Mehrotra in 1974. The advances thus made in modelling both the reagent chemistry as well as circuit design, along with the availability of sophisticated, automated tools for characterization of ores (liberation as well as mineralogical composition of the different flotation streams) provides a scientifically rigorous, quantitative, robust framework for design and optimization of complex flotation circuits. We illustrate in this paper the power and the utility of our rigorous optimization based approach to designing industrial flotation circuits for the beneficiation of a multi-component feed with the help of few case studies from our own work. With the proposed methodology, higher levels of process efficiencies can be achieved in the industrial flotation plants, in particular those processing complex, multi-component feeds requiring multiple stages of flotation separation. We are currently developing an IT platform consisting of computer-aided decision support tools for arriving at the preferred flotation circuit and the appropriate reagent chemistry for a given ore deposit and/or a given plant."

Jan 1, 2014

By L. Xia, B. Hart, K. Douglas1, S. C. Chelgani

Development work to optimize a flotation flowsheet for rare earth element (REE) recovery is underway. The original approach used alkyl phosphates and phosphoric acid ester as collectors to concentrate REE minerals. To improve REE recovery, hydroxamates as alternative collectors were investigated. In this paper, micro flotation of REE minerals using salicylic, benzoyl and naphthoyl hydroxamates is reported. Unlike phosphonic collectors, slime removal does not show a significant effect on REE recovery when using hydroxamates as collectors. Among the three hydoxamates, the grade of La, Ce, and Nd for concentrates produced by salicylic hydroxamate is the highest. The recovery response with naphthoyl hydroxamate is similar to that of salicylic hydroxamate; good grades for La, Ce, and Nd, less effective for Nb, Y, and Zr. The data indicated an affinity by salicylic and naphthoyl hydroxamtes for LREE over the HREE minerals. In comparison, benzoyl hydroxamate indicated an affinity for Nb, Y, and Zr. Temperature effects on REE recovery were also studied. The grade and recovery of REEs generated by flotation using a mix of salicylic and benzoyl hydroxamates at room temperature was almost identical or even better relative to the recovery using naphthoyl hydroxamates at elevated temperature.

Jan 1, 2014

By W. de Klerk, M. B. Thorpe

Golden Star Resources Bogoso operates in Ghana’s Western Region. The gold recovery plant includes; a flotation circuit producing a concentrate for the BIOX® process that oxidizes sulphides before a CIL circuit; and a dedicated CIL circuit. BIOX® uses bacteria, therefore water from the BIOX® and CIL plants remained separated; CN water could not be introduced into the flotation / BIOX® circuit. The operation built a process water inventory with high TDS and installed a process water treatment plant (PWTP). Water was released in compliance the permits but containing some thiocyanate. The PWTP brine was returned to the TSF, further exacerbating the TDS. The operation experienced a drought removing the traditional water sources; the team evaluated the options to maintain production - various water streams were laboratory tested provided options for water use. The paper presents the story (treatment chemistry and process chemistry) of continued operations by treating stored water and PWTP discharge water with peroxide; brine usage within the CIL circuit, which increased gold recovery (laboratory testing) and reduced the TDS. Water flows were further modified to include hydraulic tailings re-mining to a CIL circuits. Details of the recovery, basic chemistry and costs savings are provided.

Jan 1, 2014

By G. Y. He

The large-scale 8.53m×3.96m (28?×13? F/F) SAG mills was first applied in Donggua Hill Copper Mine which processes 13,000 tons ore per day. The crushing and grinding circuit went into operation in the Donggua Hill plant in October 2004. However, at the beginning, the productivity of grinding only reached 58% of the capacity expected and some indexes of the crushing and milling circuit didn?t meet the requirements. Especially, the total load of the 8.53m×3.96m (28?×13? F/F) SAG mills was up to 34%~41% (25%~30% designed)and some hard rocks with the size of 25~70mm, which can?t be treated as a medium or even would be crushed and make larger ores or steal balls necessary, were seriously accumulated in the SAG mills. Consequently, they occupied the effective mill volume which in turn reduced the efficiency of the SAG mills and increase the energy consumption. In order to solve the problem of accumulation in the SAG mill and increase its productivity, some measures were taken, such as passing more hard pebble through the grate at mill dis-charging end, changing the type of steal balls and so on. And the results showed that these measures functioned well and had good effects, which is that the filling percentage of the SAG mills has been reduced to 26%~29% from 34%~41% with the composition of particle sizes improved a lot and the productivity increased by 77.4% reaching up to 13,380 tons per day.

Jan 1, 2014

By B. Lueger, D. Shen, M. Sedighy, R. Rand, R. Saleh, J. Cheung, M. Rifai, I. Khan, W. Sauri, D. Setianto

The world’s first active power demand stabilization system for a 3-electrode electric arc smelting furnace was commissioned at PT Vale Indonesia in December 2012 on Furnace No. 2 using an SPLC (Smart Predictive Line Controller). The SPLC technology in combination with the Furnace No. 2 rebuild and other upgrades has enabled PT Vale to increase the electrical input to the furnace by up to 20% on a stable and sustainable basis by eliminating peak powers that overload and trip out the electrical equipment, and by reducing power unbalances. The SPLC technology maintains smooth arc power using a continuously variable thyristor controlled series reactor. The SPLC compensates variations in the furnace arc with predictive changes in the circuit reactance at a speed of up to 60 times a second. The system started up quickly and has been shown to be easy to operate and maintain by PT Vale. PT Vale’s Operations Team has been testing the new system at set points of up to 90 MW on the newly re-built Furnace No. 2. Over the last 12 months, the throughput of Line 2 has increased by approximately 10% on an annual average; however, debottlenecking in other design areas of the operation is required in order to achieve 90MW operation on a sustainable basis. This outstanding success results from a combination of the furnace and other upgrades, the SPLC active power stabilization, and the skill of PT Vale in quickly adopting new technologies and maximizing the combined benefits of each technology in their operation.

Jan 1, 2014

By N. Sahay

Open fire in coal mines is one of the most serious threats to miners, as well as to the mine. Open fire can often be effectively dealt with by prompt local action, otherwise it very quickly becomes uncontrollable. In one incident, none of the available open fire control technologies, viz., water deluge and sprinkler systems, high-expansion foam, high-pressure high-stability nitrogen foam, water misting, and ventilation and pressure control techniques, were effective for saving the mine without sealing from surface, since the fuel-rich environment prohibited underground access due to the methane explosion hazard. The authors have developed a methodology for dealing with advancedstage open fires underground by the application of a modified ventilation control technique. It is based primarily on a better understanding of the behaviour of open fires, proper diagnosis of the problem, application of judicious ventilation control techniques, and selection of suitable fire indices for assessing the status of an open fire. This methodology was used to successfully control an open fire in Surakachhar 3 and 4 incline mine Surakachhar, central India. The fire area was sealed underground and production subsequently resumed in record time. The paper discusses the behaviour of open fires, particulars of the mine, diagnosis of the problem, experimentation methods, and the results obtained.

Jan 1, 2014

By S. Liu

With the development of global economy, the demand of mineral?s quantity and quality are in-creased, valuable minerals are more and more finer and poorer, and the capacity of concentration plant are more and more high. Using large-scale flotation cells can obviously enhance the capacity of treating the mineral, reduce the cost, and increase the economic benefit and competitive ability for the enterprise. BGRIMM advanced advisable technical scheme with optimally parameter and route for the feature of dynamic in large scale flotation machine, and developed the KYF Large Scale Flotation Cells, which have used more than 400. The paper advanced the history, the design principle, the operating principle, the structure feature and the application of KYF flotation ma-chine.

Jan 1, 2014

By Shenxu Bao, Ying Bian, Xiang Liu, Liuyi Ren, Yimin Zhang, Chun Liu

Efficient enrichment of high-carbon low-grade mica stone coal containing vanadium is a key problem in the mineral processing field, and the mature beneficiation process is yet to be developed and applied. In this paper, a special mineral mica type of stone coal containing vanadium from Tongshan, Hubei Province, China was selected as the research object. Chemical analysis results show that this mineral contains V2O5 0.71%, SiO2 49.28%, C 13.44%, and CaO 6.26%. Scanning electron microscope (SEM) shows that vanadium generally exists in all kinds of mica minerals in 20 µm to 50 µm fractions. Mica stone coal containing vanadium must be ground to a particular fineness (approximately 45 µm). To reduce acid consumption during vanadium extraction from stone coal through acid leaching, a pretreatment process was proposed to enrich micas by using shaking table and flotation methods. A new combined technology process was implemented, resulting in a 0.96% improvement in the vanadium grade of raw materials in the succeeding process. Vanadium losses were controlled to 4.57% through the pre-concentration process, which reduced the burden of the subsequent procedure. The content of high acid consuming minerals was also diminished, such that approximately 6612 CNY was saved from producing 1 t V2O5. Therefore, stone coal containing vanadium should be pre-concentrated by using an appropriate combined process to reduce costs.

Jan 1, 2014

By S. Komar Kawatra, J. J. Carlson

"It is widely known that steel made from iron ore pellets high in phosphorus is brittle. Removal of phosphorus from iron ores such as hematite has proven to be difficult. The majority of research on phosphorus removal from hematite ores has been focused on flotation. The purpose of this study was to assess phosphorus distribution under current operations at an existing hematite concentrator and determine how efficient the plant is at removing phosphorus. Objectives included: (1) Perform a phosphorus balance at an operating plant to assess phosphorus distribution under current operations; (2) Determine phosphorus removal efficiency of each separating unit and (3) Perform a quantitative liberation analysis to determine max phosphorus removal by physical means. Liberation was quantitatively determined using wet high intensity magnetic separation (WHIMS) to separate iron ore from liberated apatite (and other nonmagnetic compounds).It was observed that 61.2% of the total phosphorus entering Plant F was rejected during current operations. The desliming process was the most efficient step at removing phosphorus (45.1% P removed), whereas the flotation step was much less effective (16.1% P removed). Liberation analyses indicated that the deslime thickener may have been more efficient at removing phosphorus than the flotation circuit due to the greater abundance of liberated phosphorus in the deslime thickener feed. The scavenger returns stream was identified as having a high concentration of phosphorus and a possible point of phosphorus removal. However, liberation analyses indicated that only 32.4% of the total phosphorus in the stream was liberated. Grinding the scavenger returns to 80% passing 5.2 µm increased the amount of liberated phosphorus in the stream to 70.4%."

Jan 1, 2014

By Pieter-Jan Kleiterp

Caterpillar has been involved in highwall mining since the purchase of Bucyrus in 2011. The Cat® HW300 is a continuation of the Superior Highwall Miner that was first sold in the USA in 1994. Currently, there are more than 80 machines supplied worldwide, and Caterpillar envisions increasing the population steadily in the coming years. The Cat highwall miner product group, based in Beckley, WV, has been involved in the sales of all miners to date. With the dealer model that Caterpillar is using, more people, dealers in particular, need to be trained on the application of highwall mining. A site investigation is a highwall specialist?s work, and Caterpillar assists dealers and customers in determining the technical feasibility of highwall mining on mine sites. With the ever-increasing amount of requests, it proved to be important that people without highwall mining expertise, yet who are familiar with mining, could perform a very quick analysis of a potential highwall mining site to determine at an early stage if it is worthwhile to invest the time and money of all parties?customer, dealer, and Caterpillar?in further follow-up. Therefore, Caterpillar would like to introduce the Cat HW300 QuickScan tool.

Jan 1, 2014

By C. Thiart

Kriging is an interpolation technique for predicting unobserved responses at target locations from observed responses at specified locations. Kriging predictors are best linear unbiased predictors (BLUPs) and the precision of the BLUP is assessed by the mean square prediction error (MSPE), commonly known as the kriging variance. Both the BLUP and the MSPE depend on the covariance function describing the spatial correlation between locations and on specific parameters. The parameters are usually treated as known, whereas in practice they invariably have to be estimated and the empirical BLUP (that is, the EBLUP) so obtained. The empirical or estimated mean square prediction error (EMSPE), or the so called ?plug-in? kriging variance estimator, underestimates the true kriging variance of the EBLUP, at least in general. In this paper five estimators for the kriging variance of the EBLUP are considered and compared by means of a simulation study in which a Gaussian distribution for the responses, an exponential structure for the covariance function, and three levels of spatial correlation ? weak, moderate, and strong ? are adopted. The Prasad-Rao estimator obtained using restricted or residual maximum likelihood (REML) is recommended for moderate and strong spatial correlation and the Kacker-Harville estimator for weak correlation in the random fields.

Jan 1, 2014