ANALYSIS OF ARTEMISIA ARBORESCENS L. GROWTH RATE ON CONTAMINATED SUBSTRATES USING A THERMODYNAMIC APPROACH.

Similar documents
Certificate of Analysis First issued: March 2008 Version: March 2008

ElvaX ProSpector in Exploration & Mining

3) Confidence interval is an interval estimate of the population mean (µ)

Process and quality control in the aluminum industry using ARL 9900 XRF-XRD integrated spectrometer

EPA Primary. (mg/l as CaCO3) (mg/l as CaCO3)

CERTIFICATE OF ANALYSIS

XRF S ROLE IN THE PRODUCTION OF MAGNESIUM METAL BY THE MAGNETHERMIC METHOD

There is more to recycled concrete aggregate than just aggregate

SIMPLIFIED MATERIALS ANALYSIS VIA XRF. Ravi Yellepeddi and Didier Bonvin Thermo Fisher Scientific (Ecublens) SARL, Ecublens/Switzerland

CERTIFIED REFERENCE MATERIALS (CRM)

Thickness and composition analysis of thin film samples using FP method by XRF analysis

Oxidation of Iron, Silicon and Manganese

Sorting and Drying Code Price Unit. Sorting and Boxing of Samples, received as pulps SORTBOX 0.00 Sample

Arsenic Detections. Florida 1995 to 2008 data. As exceedance (> 10 ug/l) As detection (< 10 ug/l) (Author Unknown)

CERTIFICATION REPORT ACIRS-A1-TR-01

Israeli coal ash characterization & environmental effects

Assessing the environmental impacts of landfill mining activities

Feasibility Study on the Utilization Of Municipal Waste Fly Ash For The Manufacture Of Geopolymer Binder

Distribution of Silica in different size fractions in Kusmunda, Korba Coal field

Certificate of Analysis

XRF DRIFT MONITORS DATA CALIBRATION MATERIAL

Comparison of Off-peak vs. MAN vs. Nth Point background measurements John Donovan,

Certificate of Analysis First issued: May 2008 Version: May 2008

EDXRF APPLICATION NOTE IRON IN ALUMINUM # 1237

Abstract No. 37. Progress in Analytical Chemistry and Material Characterisation in the Steel and Metals Industry Düsseldorf, May 19-21, 2015

Susan Miller Brick Industry Association. John Sanders National Brick Research Center

The Science and Engineering of Materials, 4 th ed Donald R. Askeland Pradeep P. Phulé. Chapter 8 Solid Solutions and Phase Equilibrium

Certificate of Analysis

Virtual Curtain Limited

Analytical Techniques for Grade and Quality Control in Coal Mining. Dr Paul O Meara XRD Application Specialist

STANDARD DI VETRI E MATERIALI CERAMICI

Certificate of Analysis Work Order : LK [Report File No.: ]

ROADMAP. Introduction to MARSSIM. The Goal of the Roadmap

Japanese Iron and Steel Certified Reference Materials April 9, 2012

LABORATORY SCALE TESTING OF THE ADSORPTION CHARACTERISTICS OF DEALGINATED SEAWEED: RESULTS FROM THE BIOMAN PROJECT

5th International Conference on Sustainable Solid Waste Management, Athens, June M. Contreras, M.J. Gázquez, J.P.

Analysis of Cast Iron Using Shimadzu PDA-7000

GENERAL PRINCIPLES AND PROCESSES OF ISOLATION OF ELEMENTS

12. Which from of copper is called blister copper? 13. What are froth stabilizers? Give two examples. [Ex. : Cresol and aniline].

Locked Cycle Leaching Test and Yellowcake Precipitation

Thermodynamics and Mechanism of Silicon Reduction by Carbon in a Crucible Reaction

CERTIFICATE OF ANALYSIS SARM 77 FERROCHROME SLAG

For more important question's visit :

Integrated Mobile modularised Plant and Containerised Tools for selective, low-impact mining of small high-grade deposits

Characteristics of Solid waste Residues Gardanne Coal Power Plant Geochemistry, Petrography, Mineralogy

ROLE OF BIOCHAR AS AMENDMENT FOR POLLUTED MATRIXES: IMPACT ON THE CONTAMINANTS BEHAVIOUR IN TWO CASE STUDIES.

19. H, S, C, and G Diagrams Module

19. H, S, C, and G Diagrams Module

Comparison of Waste from PF Utilities and Transitional Technologies using Australian Coal

APPENDIX E. Calculation of Site-Specific Background Concentration of Arsenic in Soil

4.3 Nonparametric Tests cont...

Leaching characteristics of fly ash

POLICY FORECASTS USING MIXED RP/SP MODELS: SOME NEW EVIDENCE

Introduction to Business Research 3

Metal Aerosol Emissions from Biomass Combustion

Evaluation of FGD-Gypsum to Improve Forage Production and Reduce Phosphorus Losses from Piedmont Soils

MINING POLLUTION OF STREAM SEDIMENTS OF THE SMOLNIK STREAM. O. Lintnerová, P. Šottník, S. Šoltés

The Determination of Trace Elements in Stainless Steel by Forked Platform GFAAS

Trace metal contamination of soils and sediments in the Port Kembla area, New South Wales, Australia

Comparison of Probability Distributions for Frequency Analysis of Annual Maximum Rainfall

Analysis of Copper and Copper Base Alloys, Using Shimadzu PDA-7000

Evaluation of Heavy Metal Contamination and Geochemical Characteristics of CCPs in Korea

Trace elements leaching from cement mixtures containing fly ash. Nadya Teutsch and Olga Berlin Geological Survey of Israel

Pumice. - Safety Data Sheet - PUMICE. tel: fax:

Coal biomass ash deposition during deeply staged combustion. BCURA project B78. Fraser Wigley. Imperial College London

DETERMINATION OF ELEMENTS IN DRINKING WATER AS PER BUREAU OF INDIAN STANDARDS 10500, & USING THE AGILENT 5100 ICP-OES

CHAPTER 9 PHASE DIAGRAMS PROBLEM SOLUTIONS

EFFECT OF ACTIVITY COEFFICIENT ON PHOSPHATE STABILITY IN MOLTEN SLAGS

SAFETY DATA SHEET. Iron Silicate (Complex silicates and oxides of iron, silica, calcium, and aluminum) Abrasive air-blasting media

Study of oxygen fugacity influence on redox state of iron in granitoidic melts

Eco-concrete: preliminary studies for concretes based on hydraulic lime

University of Agriculture in Krakow, Poland. Department of Agricultural and Environmental Chemistry, 2

Achieving Optimum Throughput in ICP-MS Analysis of Environmental Samples with the Agilent 7500ce ICP-MS Application

Core Analysis with the Tracer

Effect of Sheet Thickness and Type of Alloys on the Springback Phenomenon for Cylindrical Die

INTEGRATED ANALYTICAL SYSTEM IN THE MONITORING OF CARBONIFEROUS MINE WASTES FROM THE BOGDANKA HARD COAL MINE

Particle Size and Shape Analysis in CEMENT INDUSTRY.

MODELLING CR CONTAINING SLAGS FOR PGM SMELTING

Lake Huron Water Treatment Plant Mineral Report

Environmental Impacts of Human Activities Monitored by PTEs Contamination of Stream Sediments along the Wad Malyan River

Web Mapping Service of Natural Background Values of Groundwater in Germany

GOLD MINE TAILINGS AS A SOURCE OF TRACE ELElVIENT POLLUTION AND ACIDITY

Sprint analysis of lubricating oils using the Thermo Scientific icap 7600 ICP-OES

Characteristics of waste streams and requirements for recycling processes Executive summary

THE POSSIBILITY OF USING HANDHELD XRF IN CEMENT APPLICATIONS

Services SAMPLE SUMMARY REPORT DR. PUMP, LLC Isuzu Rodeo. Atlanta, GA 05/24/2007

X-ray Fluorescence Spectrometry X-ray Fluorescence Spectrometry (XRF) is a non-destructive, quantitative technique for determining chemical

Lake Huron Water Treatment Plant Mineral Report

the Phase Diagrams Today s Topics

Abstract No. 72. Complexity of reception inspection for casting powders at Dillinger Steel Works

Trace elements in Israeli coal ash and its leachates

Dry Stacking Filtration of Bauxite Residue with Filter Presses

FAYALITE SLAG MODIFIED STAINLESS STEEL AOD SLAG

EVALUATION OF BAUXITE FROM ORIN-EKITI, EKITI STATE, SOUTH-WEST NIGERIA USING CHEMICAL AND SPECTROSCOPIC METHODS OF ANALYSIS.

Center for By-Products Utilization

Silica Extraction at Mammoth Lakes, California

THE SPRINGBACK ANALYSE ON SHEET ALUMINUM V BENDING USING AN SYSTEMIC ANALYSIS ON BENDING OPERATION

2018 Industrial Minerals Technology Workshop ANIONIC- CATIONIC PROCESS FOR SILICA SAND FLOTATION MINING EXTERNAL RYAN XIONG, JAMES GU AND GUOXIN WANG

MORE. Scheme Description. Manganese Ore Proficiency Testing Scheme

PredIctIon of SIze distribution of Iron ore GrAnuleS And PermeAbIlIty of ItS bed

Transcription:

ANALYSIS OF ARTEMISIA ARBORESCENS L. GROWTH RATE ON CONTAMINATED SUBSTRATES USING A THERMODYNAMIC APPROACH. Bonomi E. 1, Cella R. 2, Ciccu R. 3, Ligas P. 3, Parodo L. 3 1 CRS4, Sardinia, Italy 2 Consultant, NuovaCemar srl, Cagliari, Italy 3 DIGITA, University of Cagliari, Italy ABSTRACT This article examines the growth rate of Artemisia arborescens L. on diversely contaminated artificial substrates, with a view to mine site remediation, adopting a thermodynamic approach. Analysis of the experimental data on the growth of four cloned populations of the Artemisia arborescens L. species on three different artificial substrates, obtained by mixing different proportions of mineral matter and distilling slops, revealed several aspects of the phenomenon and a number of hypotheses have been advanced that warrant further investigation. The findings of the experimental work confirm that Artemisia arborescens L, grows well on contaminated substrates improved with the addition of suitable quantities of organic matter 1. INTRODUCTION In the preliminary feasibility evaluation of environmental remediation of mining areas it is important to determine the maximum threshold of contaminated material contained in the substrate, beyond which the partition function of growth rate ceases to be normal and unimodal. This threshold can prove a useful tool in planning and developing the projects in land degraded by anthropogenic pressure, which envisage planting indigeneous species following a time sequence that mimics natural processes known as successional stages 1. MATERIALS AND METHODS The three growth substrates were prepared by mixing different proportions, as shown in Table 1, of flotation tailings from the derelict Montevecchio mine (CA) with pomace distilling slops produced by DI.CO.VI.SA srl (CA). Table 1. Composition of substrates used in growth tests. Substrate Mineral fraction Distilling slops (% by volume) (% by volume) 1 100 0 2 95 5 3 90 10 As far as the mineral fraction is concerned, mineralogical analyses showed the material to be composed chiefly of quartz (SiO 2 ), with subordinate phyllosilicate, presumably attributable to the illite, and minor amounts of siderite (FeC0 3 ).

Table 2. Chemical analysis of the three samples PL1, PL2, PL3 of flotation tailings from the Montevecchio mine. XRF determinations Major elements (% by weight) Na 2 O MgO Al 2 O 3 SiO 2 P 2 O 5 K 2 O CaO TiO 2 MnO Fe 2 O 3 FeO PL3 0.34 0.79 12.61 64.5 0.09 2.98 0.13 0.37 0.35 11.81 0.68 99.95 PL2 0.33 0.78 12.13 67.17 0.09 2.94 0.14 0.35 0.53 10.78 0.24 99.98 PL 1 0.29 0.75 10.14 74.12 0.07 2.44 0.23 0.34 0.43 5.53 1.94 99.97 Minor elements (ppm) Pb Zn Cd Cu Sb Ni Cr Bi As Ag Sn PL3 3620 7400 24 296 115 33 75 <6 <5 <20 <20 PL2 2200 5840 25 211 82 29 54 <6 <5 <20 <20 PL 1 1300 5760 40 132 ~9 33 49 6 <5 <20 <20 Tot The bulk chemical composition (Table 2) agrees substantially with the mineral association: high silica content, corresponding to the quartz and illite, with some aluminum and potassium, attributable to the illite. The bivalent iron (FeO) content is in good agreement with the small quantities of siderite, while the large proportions of trivalent iron (Fe 2 O 3 ) can logically be assumed to be attributable to the presence of weakly crystalline ferric oxyhydroxides, typical of mining areas in oxidising environments ("mine ochres "). All the other major elements are contained in such small quantities as to suggest the absence of other mineralogical phases. A small amount of magnesium (and in theory also Fe) could be contained in the illite as a vicariant of aluminum. With regard to the potentially toxic heavy metals, the mineral matter examined here contains significant quantities of Zn and Pb (a few thousand ppm), and some traces (from tens to hundreds of ppm) of Cu, Ni, Cr, Cd, Sb. The DI.CO.VI.SA slops are produced by a pomace distillery for alcohol production and thus contain neither industrial nor municipal residues. Prior to their use, they were screened through a 2mm sieve to obtain a sufficiently homogeneous material. To minimise the effect of genetic factors, four clonal populations (A B C D) were used obtained by asexual propagation taking cuttings from four mother plants growing in the natural environment at Capo S. Elia near the city of Cagliari. Each clonal population, each comprising 75 individuals, was raised on 3 substrates (Table 1), as shown in Table 3. Table 2. Scheme of growth test. SUBSTRATE 1 SUBSTRATE 2 SUBSTRATE 3 CLONE A 1/A 2/A 3/A CLONE B 1/B 2/B 3/B CLONE C 1/C 2/C 3/C CLONE D 1/D 2/D 3/D

2. RESULTS The experimental data consist of the height reached by each individual, measured at time intervals, and then calculating the mean value for each test. From the graphs shown in Figure 1, which depict growth dynamics for each clone on the different substrates, one can readily observe the analytic difficulties, insomuch as each curve for a specific test is made up of a series of segments. To obtain a synthetic representation, for each test we used a continuous function, which holds over the entire growth range: goodness of fit of the model with the experimental data has been evaluated by means of the Kolmogorov - Smirnov test. After preliminary processing, and given the clear sigmoidal shape, a logistic type continuous function was chosen, having the form of Eq. 1, which is characterised by the facts that a biological meaning is assigned to the parameters (Thornley and Johnson, 1990). where: W W 0 f W t = µ W0 + f 0! ( W! W ) e t (eq. 1) W t = biomass at time t, expressed as height [cm]; W 0 = biomass at time t = 0, expressed as height [cm]; W f = final biomass, expressed as height [cm]; µ = specific growth rate [1/days]; t = time [days] Figure 1. Growth of clones A, B, C and D on the three substrates Table 4 shows, for each test, the experimental values for W 0, W f, the resulting growth Δ and the values assigned to µ through a reiterative calibration process.

Table 4. Initial and final height, growth Δ and specific growth rate µ for each test Substrate 1 Substrate 2 Substrate 3 Clone W 0 W f Δ µ W 0 W f Δ µ W 0 W f Δ µ A 7.00 11.59 4.59 0.109 7.64 15.50 7.86 0.091 7.05 16.50 9.45 0.089 B 7.44 12.82 5.38 0.106 7.72 16.72 9.00 0.083 10.25 20.88 10.63 0.074 C 7.50 12.23 4.73 0.085 7.83 15.04 7.21 0.086 10.14 19.71 9.57 0.063 D 10.06 16.78 6.72 0.101 11.32 23.26 11.94 0.096 12.14 26.26 14.12 0.083 8.00 13.35 5.35 0.100 8.63 17.63 9.00 0.089 9.89 20.84 10.95 0.077 For the different parameter values used, we found that for all 12 tests the logistic curves fit fairly closely the empirical curve with a significance level µ of 0.05 applying the Kolmogorov- Smirnov test. In the upper part of Graphs x - y, the theoretical logistic curve is compared with the empirical curve, while the lower part shows the (level of) significance of the Kolmogorov-Smirnov test. Moreover, the differences between the theoretical and empirical curves can be, with a 95% probability, attributed to random factors in 87% of the cases on the sample as a whole (Table 5). Table 5. Percentage of samples for which the nul hypothesis of the Kolmogorov Smirnov test is not rejected. K-S Substrate 1 Substrate 2 Substrate 3 Clone A 75% 80% 95% Clone B 80% 91% 86% Clone C 80% 91% 67% Clone D 96% 100% 100% 3. DISCUSSION 3.1. Growth Δ As can be seen from Table 4, the growth Δ, given by W f -W o, appears to depend on the substrate, as the percent increase of organic matter promotes plant growth all-round in all four clones. The growth Δ also appears to depend on the clone. Lastly, the relationship between the initial height W 0 (Table 5) and the growth Δ (Table 4), deserve consideration, as a preliminary evaluation shows the latter to be directly proportional to the former. Figure 2. Test 1/A

Figure 3 - Test 2/A Figure 4 - Test 3/A Figure 5 - Test 1/B

Figure 6 - Test 2/B Figure 7 - Test 3/B Figure 8 - Test 1/C

Figure 9 - Test 2/C Figure 10 Test 3/C Figure 11 - Test 1/D

Figure 12 - Test 2/D Figure 13 - Test 3/D 3.2. Hypotheses on the parameter µ The parameter µ has a biological meaning and affects what Thornley and Johnson call the growth machinery (Thornley & Johnson, 1990). In this study, the specific growth rate µ is determined for the purpose of exploring the influence, be it positive or negative, of the substrate and of the genetic factor on growth, by varying the values taken by the parameter µ. A cursory evaluation appears to show a correlation between the substrate and the value taken by µ, in the sense that the latter decreases, on average, passing from a value of 0.100 in substrate 1 to 0.089 in substrate 2 to 0.077 in substrate 3. Additionally, the trend for each single clone matches the average behaviour, with the exception of clone C for which µ is 0.85 in substrate 1 and 0.86 in substrate 2, showing the reverse trend, be it with a minor deviation. This first observation and comparison of the values of µ with growth Δ (Table 4), suggest that greater plant height (more organic matter) coincides with a lower specific growth rate µ. As µ, in the case at hand, is expressed by the rate at which the plant grows (graphically the slope of the

curve increases in that segment where the curve bends), this translates into in initial, more rapid increase in growth for the plant that grows however to lower heights. By contrast, preliminary analysis suggests that no correlation exists between the different clones and µ, i.e. no relationship has been detected between the genetic factor and µ. For each group, the theoretical curves for each test have been discretised and the average values taken for all the measured values. In this way we found the logistic curve representing the substrate group, and by so doing eliminated from the analysis the genetic factor due to the different clones. The next step consisted is the pairwise comparison of the three curves to determine, by means of the Kolmogorov Smirnov test, whether the differences could be attributed to systematic factors, in this case the substrate. Thus we have tests 1 2, 1 3 and 2 3. For the tests 1 2 and 1 3, the K-S null hypothesis is rejected, while only for the test 2 3 can the differences between the theoretical and experimental curves be attributed to random factors, with a 95% probability (Table 6). This means that the systematic factor may coincide with the substrate, even though, as can be seen from the graphs (Figure 14, Figure 15 and Figure 16), the curves have different initial values of W 0. So we translated one of the two curves such that they started with the same initial value and repeated the series of tests. Had the condition of systematicity not been satisfied, this would have suggested that the systematic factor resided in the initial Δ. However, the analysis simply confirmed the previous tests, thus no more precise considerations can be drawn on the initial value of the height W 0. The same reasoning was applied to evacuate the genetic factor and any influence it may have on the parameter µ Four groups of tests were conducted: Clone A: 1/A, 2/A, 3/A; Clone B: 1/B, 2/B, 3/B; Clone C: 1/C, 2/C, 3/C; Clone D: 1/D, 2/D, 3/D; A pairwise comparison of the theoretical curves was performed, making a total of six: A B, B C, C D, A C, B D, A D. Similarly to above, translating one of the two curves so that they both had the same initial value of W 0 did not alter the results of the Kolmogorov Smirnov test. The results of our tests revealed that only in the comparison between the clones A, B, C and D, are the differences attributable, with a 95% probability, to systematic factors (Table 7). In addition to the possibility that differences in the value of W 0 give rise to statistically significant differences (W 0 are greater for clone D), we can assume that a certain genetic component may influence the value of µ, also considering that the growth Δ were higher for clone D. Table 6. Kolmogorov - Smirnov test on the three comparisons for the substrate. H 0 = 1 hypothesis rejected H 0 p - Value D n Test 1-2 1 0.028 0.615 Test 1-3 1 0.002 0.692 Test 2-3 0 0.087 0.461

Table 7. Results of Kolmogorov test on comparison between clones H 0 P - value D n Test A B 0 0.087 0.461 Test B C 0 0.226 0.385 Test C D 1 0.002 0.692 Test A C 0 0.226 0.385 Test B D 1 0.008 0.615 Test A D 1 0.0003 0.769 Figure 14 Comparison of theoretical curves for substrates 1 and 2, with Kolmogorov-Smirnov test Figure 15 - Comparison of theoretical curves for substrates 1 and 3, with Kolmogorov- Smirnov test

Figure 16 - Comparison of theoretical curves for substrates 2 and 3, with Kolmogorov Smirnov test 3.3. Distribution of specific growth rate µ. The parameter µ relative for a clonal population or for a certain substrate (or both) is normally distributed if the organic matter content is sufficiently high and thus the phenomenon is controllable. By reducing the proportion of slops with respect to the inert matter in the artificial substrate composition, the distribution of the parameter µ passes from normal to chaotic once a certain threshold is reached. Thus the phenomenon can no longer be described by means of the logistic curves in this specific case. The aim is to determine the minimum percentage in relation to the percent proportion of distilling slops. As only a small number of data (less than 10) were available for tests 3/B and 3/C, it was considered more appropriate to determine the distribution of µ as a function of the substrate and of the type of clone rather than as a function of each single test. The Lilliefors test (α = 0.05) was then used to determine whether the distribution was normal or otherwise. The test was performed first directly on the distribution of µ and then also on the log transform to compensate for skew to the right.

Figure 17 - Distribution of µ for substrate Table Errore. Nel documento non esiste testo dello stile specificato.8. Statistical data on the distribution of µ for substrate µ m σ γ 1 γ 2 Substrate 1 0.1105 0.0352 0.5132 3.8798 Substrate 2 0.0999 0.0248 0.6432 6.1003 Substrate 3 0.0862 0.0285 0.3254 2.5400 Figure 18 - Distribution of µ for clone Tabella 9. Statistical data on the distribution of µ for clone µ m σ γ 1 γ 2 Clone A 0.1097 0.0387-0.1702 2.8509 Clone B 0.1053 0.0370 0.8587 3.7889 Clone C 0.1014 0.0475 1.5183 6.3761 Clone D 0.0960 0.0195 0.3321 2.7177

Considering the distributions of µ for the substrate, using the Lilliefors test the null hypothesis is rejected for substrate 1, but not for substrates 2 and 3. Performing the test on the log transform however, the null hypothesis (in other words µ has a normal distribution) is never rejected. On the other hand considering the clones, µ is normally distributed, with a 95% probability given that the null hypothesis is never rejected. Performing the test on the log transform only for clone A is the hypothesis rejected. CONCLUSIONS Analysis of the experimental data obtained from previous tests on the growth of four cloned populations A, B, C and D of the Artemisia arborescens L. species on three different artificial substrates, obtained by mixing different proportions of mineral matter and distilling slops, revealed several aspects of the phenomenon and a number of hypotheses have been advanced that warrant further investigation. The findings of the experimental work confirm that Artemisia arborescens L, grows well on contaminated substrates improved with the additino of suitable quantities of organic matter (distilling slops in the specific case). In particular, it has been demonstrated that plant growth, measured as growth Δ (difference between initial and final height) is influenced by both the substrate (organic matter content) and the genetic make up (clone D grows to greater heights than the others, followed by clones B, A and C). For clones A and C the influence of the genetic makeup on growth Δ has been shown (7.30 cm for A against 7.17 cm for C) also for clone A with lower initial heights for (7.23 cm against 8.49 cm del clone C). Application of the non-parametric Kolmogorov Smirnov test (α = 0.05) confirmed that the logistic equation has a statistically significant goodness of fit with the experimental data: for 87% of the sample and for all 12 tests the null hypothesis (the data are logistically distributed) of the Kolmogorov - Smirnov test is not rejected. This shows that the differences between the theoretical logistic curves and the empirical curves can be attributed to random factors. In particular, the fit between theoretical and empirical curves improves from substrate 1 to 2 and from 2 to 3, i.e. increasing the organic matter content, as this ensures more regular plant growth. This is not however true of tests 3/B and 3/C but this can be explained by the small number of data used. The specific growth rate parameter was determined in order to explore the influence of µ on the substrate and genetic makeup from a qualitative point of view. The mean value of µ is 0.089. It has been shown that the specific growth rate decreases with increasing organic matter content (distilling slopes), 0.1 for substrate 1, 0.089 for substrate 2 and 0.077 for substrate 3. Thus growth diminishes for those plants exhibiting greater growth Δ, because of the need for plants to grow as harmoniously as possible in order to develop better. The influence of genetic makeup on µ is less evident: it only has statistical significance for clone D. Lastly, µ is normally distributed and thus it can be claimed that up to an organic matter content of 10%, plant growth can be described by a logistic equation. Thus organic matter can be further reduced until a threshold can be established below which the distribution of µ becomes random and the phenomenon can no longer be well described by a logistic type curve. REFERENCES Thornley J., & Johnson I., (1990) - Plant and Crop Modelling. Clarendon Press, Oxford