Supply response and Cost of production of natural rubber- an econometric study

The study deals with the short and long term supply response of the natural rubber in India and to analyse the macro economic environment of NR industry and causative factors of the rubber price crash. It determines the minimum cost of production of natural rubber and to forecast the potential production of NR in India. There is positive response of short run and long run supply to prices. Since correlation analysis show close association between international and domestic price level, international price changes will have its domestic echo. Production and consumption will sustain its rising trend. This makes plans for increasing production estimates show that a mid way level i.e. the range between Rs.32-Rs.38 will give a fair enough profit to the grower in the present situation and provide for the viable sustenance of rubber cultivation. Identification of the SWOT of rubber cultivation would help in supporting rubber cultivation if remedial measures are undertaken with the true spirit. This would help Indian rubber to attain global competitiveness. Then the inflow of valuable foreign exchange will overcome the other economic drawbacks of rubber cultivation

Size dependent fluorescence spectroscopy of nanocolloids of ZnO

In this article we present size dependent spectroscopic observations of nanocolloids of ZnO. ZnO is reported to show two emission bands, an ultraviolet (UV) emission band and another in the green region. Apart from the known band gap 380 nm and impurity 530 nm emissions, we have found some peculiar features in the fluorescence spectra that are consistent with the nanoparticle size distribution. Results show that additional emissions at 420 and 490 nm are developed with particle size. The origin of the visible band emission is discussed. The mechanism of the luminescence suggests that UV luminescence of ZnO colloid is related to the transition from conduction band edge to valence band, and visible luminescence is caused by the transition from deep donor level to valence band due to oxygen vacancies and by the transition from conduction band to deep acceptor level due to impurities and defect states. A correlation analysis between the particle size and spectroscopic observations is also discussed.

Water quality status and Primary productivity of Valanthakad Backwater in Kerala

The water quality and primary productivity of Valanthakad backwater (9° 55 10. 24 N latitude and 76° 20 01. 23 E longitude) was monitored from June to November 2007. Significant spatial and temporal variations in temperature, transparency, salinity, pH, dissolved oxygen, sulphides, carbon dioxide, alkalinity, biochemical oxygen demand, phosphatephosphorus, nitrate-nitrogen, nitrite-nitrogen as well as primary productivity could be observed from the study. Transparency was low (53.75 cm to 159 cm) during the active monsoon months when the intensity of solar radiation was minimum, which together with the run off from the land resulted in turbid waters in the study sites. The salinity in both the stations was low (0.10 ‰ to 4.69 ‰) except in August and November 2007. The presence of total sulphide (0.08 mg/ l to 1.84 mg/ l) and higher carbon dioxide (3 mg/ l to 17 mg/ l) could be due to hospital discharges and decaying slaughter house wastes in Station 1 and also from the mangrove vegetation in Station 2. Nitrate-nitrogen and phosphate-phosphorus depicted higher values and pronounced variations in the monsoon season. Maximum net primary production was seen in November (0.87 gC/ m3/ day) and was reported nil in September. The chlorophyll pigments showed higher values in July, August and November with a negative correlation with phosphate-phosphorus and nitrite-nitrogen. The study indicated that the water quality and productivity of Valanthakad backwater is impacted and is the first report from the region

Econometrics as an Academic Discipline in Higher Education: An Exploratory Study of the Need, Relevance and Significance

Econometrics is a young science. It developed during the twentieth century in the mid-1930’s, primarily after the World War II. Econometrics is the unification of statistical analysis, economic theory and mathematics. The history of econometrics can be traced to the use of statistical and mathematics analysis in economics. The most prominent contributions during the initial period can be seen in the works of Tinbergen and Frisch, and also that of Haavelmo in the 1940's through the mid 1950's. Right from the rudimentary application of statistics to economic data, like the use of laws of error through the development of least squares by Legendre, Laplace, and Gauss, the discipline of econometrics has later on witnessed the applied works done by Edge worth and Mitchell. A very significant mile stone in its evolution has been the work of Tinbergen, Frisch, and Haavelmo in their development of multiple regression and correlation analysis. They used these techniques to test different economic theories using time series data. In spite of the fact that some predictions based on econometric methodology might have gone wrong, the sound scientific nature of the discipline cannot be ignored by anyone. This is reflected in the economic rationale underlying any econometric model, statistical and mathematical reasoning for the various inferences drawn etc. The relevance of econometrics as an academic discipline assumes high significance in the above context. Because of the inter-disciplinary nature of econometrics (which is a unification of Economics, Statistics and Mathematics), the subject can be taught at all these broad areas, not-withstanding the fact that most often Economics students alone are offered this subject as those of other disciplines might not have adequate Economics background to understand the subject. In fact, even for technical courses (like Engineering), business management courses (like MBA), professional accountancy courses etc. econometrics is quite relevant. More relevant is the case of research students of various social sciences, commerce and management. In the ongoing scenario of globalization and economic deregulation, there is the need to give added thrust to the academic discipline of econometrics in higher education, across various social science streams, commerce, management, professional accountancy etc. Accordingly, the analytical ability of the students can be sharpened and their ability to look into the socio-economic problems with a mathematical approach can be improved, and enabling them to derive scientific inferences and solutions to such problems. The utmost significance of hands-own practical training on the use of computer-based econometric packages, especially at the post-graduate and research levels need to be pointed out here. Mere learning of the econometric methodology or the underlying theories alone would not have much practical utility for the students in their future career, whether in academics, industry, or in practice This paper seeks to trace the historical development of econometrics and study the current status of econometrics as an academic discipline in higher education. Besides, the paper looks into the problems faced by the teachers in teaching econometrics, and those of students in learning the subject including effective application of the methodology in real life situations. Accordingly, the paper offers some meaningful suggestions for effective teaching of econometrics in higher education

Health, Education and Employment in a Forward-Backward Dichotomy Based on Standard of Living Index for the Tribes in Kerala

The Paper unfolds the paradox that exists in the tribal community with respect to the development indicators and hence tries to cull out the difference in the standard of living of the tribes in a dichotomous framework, forward and backward. Four variables have been considered for ascertaining the standard of living and socio-economic conditions of the tribes. The data for the study is obtained from a primary survey in the three tribal predominant districts of Wayanad, Idukki and Palakkad. Wayanad was selected for studying six tribal communities (Paniya, Adiya, Kuruma, Kurichya, Urali and Kattunaika), Idukki for two communities (Malayarayan and Muthuvan) and Palakkad for one community (Irula). 500 samples from 9 prominent tribal communities of Kerala have been collected according to multistage proportionate random sample framework. The analysis highlights the disproportionate nature of socio-economic indicators within the tribes in Kerala owing to the failure of governmental schemes and assistances meant for their empowerment. The socio-economic variables, such as education, health, and livelihood have been augmented with SLI based on correlation analysis gives interesting inference for policy options as high educated tribal communities are positively correlated with high SLI and livelihood. Further, each of the SLI variable is decomposed using Correlation and Correspondence analysis for understanding the relative standing of the nine tribal sub communities in the three dimensional framework of high, medium and low SLI levels. Tribes with good education and employment (Malayarayan, Kuruma and Kurichya) have a better living standard and hence they can generally be termed as forward tribes whereas those with a low or poor education, employment and living standard indicators (Paniya, Adiya, Urali, Kattunaika, Muthuvans and Irula) are categorized as backward tribes

Toxic Metal Distribution in the Core Sediment of Cochin Estuarine System (CES)

This article present the result from a study of two sediment cores collected from the environmentally distinct zones of CES. Accumulation status of five toxic metals: Cadmium (Cd), Chromium (Cr), Cobalt (Co), Copper (Cu) and Lead (Pb) were analyzed. Besides texture and CHNS were determined to understand the composition of the sediment. Enrichment Factor (EF) and Anthropogenic Factor (AF) were used to differentiate the typical metal sources. Metal enrichment in the cores revealed heavy load at the northern (NS1 ) region compared with the southern zone (SS1). Elevation of metal content in core NS1 showed the industrial input. Statistical analyses were employed to understand the origin of metals in the sediment samples. Principal Component Analysis (PCA) distinguishes the two zones with different metal accumulation capacity: highest at NS1 and lowest at SS1. Correlation analysis revealed positive significant relation only in core NS1, adhering to the exposition of the intensified industrial pollution

Environmental Geochemistry of Core Sediment in the Cochin Estuary (CE), India

Distribution of toxic metal in the sediment core is an important area of research for environmental impact studies. Sediment cores were collected from two prominent region(C1 and C2) of CE and subjected to geochemical analysis to determine distribution of toxic metals (Cd, Co, Cr, Cu and Pb ), texture characteristics, total organic carbon (TOC) and CHNS. Statistical analysis was done to understand the interrelationship between the components. In the studied cores, metal contamination level was identified for Pb, Cu; Cr, in C1 and C2 respectively. The metal distribution depends on the granulometric factor, geogenic mineral components and anthropogenic input. Correlation analysis (CA) and Principal component(PCA) analysis also support these results

Behaviour of REEs in a tropical estuary and adjacent continental shelf of southwest coast of India: Evidence from anomalies

The distribution and accumulation of the rare earth elements (REE) in the sediments of the Cochin Estuary and adjacent continental shelf were investigated. The rare earth elements like La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, Lu and the heavy metals like Mg, V, Cr, Mn, Fe, Cu, Zn, U, Th were analysed by using standard analytical methods. The Post-Archean Australian Shale composition was used to normalise the rare earth elements. It was found that the sediments were more enriched with the lighter rare earth elements than the heavier ones. The positive correlation between the concentrations of REE, Fe and Mn could explain the precipitation of oxyhydroxides in the study area. The factor analysis and correlation analysis suggest common sources of origin for the REEs. From the Ce-anomalies calculated, it was found that an oxic environment predominates in all stations except the station No. 2. The Eu-anomaly gave an idea that the origin of REEs may be from the feldspar. The parameters like total organic carbon, U/Th ratio, authigenic U, Cu/Zn, V/Cr ratios revealed the oxic environment and thus the depositional behaviour of REEs in the region

Effects of different tillage treatments on labile soil organic matter pools and stabilization processes

An improved understanding of soil organic carbon (Corg) dynamics in interaction with the mechanisms of soil structure formation is important in terms of sustainable agriculture and reduction of environmental costs of agricultural ecosystems. However, information on physical and chemical processes influencing formation and stabilization of water stable aggregates in association with Corg sequestration is scarce. Long term soil experiments are important in evaluating open questions about management induced effects on soil Corg dynamics in interaction with soil structure formation. The objectives of the present thesis were: (i) to determine the long term impacts of different tillage treatments on the interaction between macro aggregation (>250 µm) and light fraction (LF) distribution and on C sequestration in plots differing in soil texture and climatic conditions. (ii) to determine the impact of different tillage treatments on temporal changes in the size distribution of water stable aggregates and on macro aggregate turnover. (iii) to evaluate the macro aggregate rebuilding in soils with varying initial Corg contents, organic matter (OM) amendments and clay contents in a short term incubation experiment. Soil samples were taken in 0-5 cm, 5-25 cm and 25-40 cm depth from up to four commercially used fields located in arable loess regions of eastern and southern Germany after 18-25 years of different tillage treatments with almost identical experimental setups per site. At each site, one large field with spatially homogenous soil properties was divided into three plots. One of the following three tillage treatments was carried in each plot: (i) Conventional tillage (CT) with annual mouldboard ploughing to 25-30 cm (ii) mulch tillage (MT) with a cultivator or disc harrow 10-15 cm deep, and (iii) no tillage (NT) with direct drilling. The crop rotation at each site consisted of sugar beet (Beta vulgaris L.) - winter wheat (Triticum aestivum L.) - winter wheat. Crop residues were left on the field and crop management was carried out following the regional standards of agricultural practice. To investigate the above mentioned research objectives, three experiments were conducted: Experiment (i) was performed with soils sampled from four sites in April 2010 (wheat stand). Experiment (ii) was conducted with soils sampled from three sites in April 2010, September 2011 (after harvest or sugar beet stand), November 2011 (after tillage) and April 2012 (bare soil or wheat stand). An incubation study (experiment (iii)) was performed with soil sampled from one site in April 2010. Based on the aforementioned research objectives and experiments the main findings were: (i) Consistent results were found between the four long term tillage fields, varying in texture and climatic conditions. Correlation analysis of the yields of macro aggregate against the yields of free LF ( ≤1.8 g cm-3) and occluded LF, respectively, suggested that the effective litter translocation in higher soil depths and higher litter input under CT and MT compensated in the long term the higher physical impact by tillage equipment than under NT. The Corg stocks (kg Corg m−2) in 522 kg soil, based on the equivalent soil mass approach (CT: 0–40 cm, MT: 0–38 cm, NT: 0–36 cm) increased in the order CT (5.2) = NT (5.2) < MT (5.7). Significantly (p ≤ 0.05) highest Corg stocks under MT were probably a result of high crop yields in combination with reduced physical tillage impact and effective litter incorporation, resulting in a Corg sequestration rate of 31 g C-2 m-2 yr-1. (ii) Significantly higher yields of macro aggregates (g kg-2 soil) under NT (732-777) and MT (680-726) than under CT (542-631) were generally restricted to the 0-5 cm sampling depth for all sampling dates. Temporal changes on aggregate size distribution were only small and no tillage induced net effect was detectable. Thus, we assume that the physical impact by tillage equipment was only small or the impact was compensated by a higher soil mixing and effective litter translocation into higher soil depths under CT, which probably resulted in a high re aggregation. (iii) The short term incubation study showed that macro aggregate yields (g kg-2 soil) were higher after 28 days in soils receiving OM (121.4-363.0) than in the control soils (22.0-52.0), accompanied by higher contents of microbial biomass carbon and ergosterol. Highest soil respiration rates after OM amendments within the first three days of incubation indicated that macro aggregate formation is a fast process. Most of the rebuilt macro aggregates were formed within the first seven days of incubation (42-75%). Nevertheless, it was ongoing throughout the entire 28 days of incubation, which was indicated by higher soil respiration rates at the end of the incubation period in OM amended soils than in the control soils. At the same time, decreasing carbon contents within macro aggregates over time indicated that newly occluded OM within the rebuilt macro aggregates served as Corg source for microbial biomass. The different clay contents played only minor role in macro aggregate formation under the particular conditions of the incubation study. Overall, no net changes on macro aggregation were identified in the short term. Furthermore, no indications for an effective Corg sequestration on the long term under NT in comparison to CT were found. The interaction of soil disturbance, litter distribution and the fast re aggregation suggested that a distinct steady state per tillage treatment in terms of soil aggregation was established. However, continuous application of MT with a combination of reduced physical tillage impact and effective litter incorporation may offer some potential in improving the soil structure and may therefore prevent incorporated LF from rapid decomposition and result in a higher C sequestration on the long term.

Infiltración grasa hepática difusa y su correlación con índice de masa corporal, triglicéridos y transaminasas

Introducción: la enfermedad hepática grasa no alcohólica (NAFLD) es una enfermedad muy frecuente y de curso insidioso. El diagnostico, seguimiento y tratamiento de esta condición permanecen aun sin consenso debido principalmente a la falta de conocimiento de su historia natural y la dificultad de un diagnostico preciso de forma no invasiva. Materiales y Métodos: estudio prospectivo, observacional de corte transversal y correlación usando un muestreo no aleatorio de los pacientes que asistieron al servicio de chequeo médico de la Fundación CardioInfantil – Instituto de Cardiología. Se evaluaron variables clínicas y para-clínicas como Índice de Masa Corporal, transaminasas, triglicéridos y apariencia ultrasonográfica del hígado. Se realizo análisis no paramétrico de varianza con la prueba de Kruskal-Wallis y análisis de correlación por medio del índice de correlación de Spearman. Resultados: se incluyeron 619 pacientes. Se encontró una variación estadísticamente significativa (p<0,001) entre todas las variables analizadas agrupadas de acuerdo a la apariencia ultrasonográfica del hígado. Finalmente, se encontraron coeficientes de correlación positivos y estadísticamente significativos (p<0,001) para las mismas variables. Discusión: la evaluación por ultrasonografía del hígado es una opción atractiva para el diagnostico y seguimiento de los pacientes con NAFLD debido a sus características no invasivas, bajo costo y amplia disponibilidad. Los resultados obtenidos sugieren que dada la variación de los parámetros clínicos de acuerdo con la apariencia hepática, esta herramienta puede ser útil tanto en fase de diagnostico como en fase de seguimiento para los pacientes de esta población. Los coeficientes de correlación sugieren que la posibilidad de predecir variables sanguíneas usando este método que debería estudiarse más a fondo. Conclusiones: en conjunto, los resultados de este estudio soportan la utilidad de la evaluación ultrasonográfica del hígado como herramienta de evaluación y posible seguimiento en pacientes con sospecha de NAFLD en esta población.

Relación entre síntomas urinarios bajos y calidad de vida antes y después de la RTUP

Determinar el impacto en la calidad de vida de los pacientes con STUB dados por HPB en el Hospital de la Samaritana y Hospital universitario mayor MEDERI, que son llevados a resección transuretral de próstata y definir cual es la relación de dicho impacto con la severidad de los síntomas antes y después del tratamiento. Métodos: Se incluyeron 72 pacientes con síntomas de tracto urinario bajo dados por crecimiento prostático que fueron llevados a resección transuretral de próstata. Se realizo medición de síntomas urinarios según el IPSS y medición de calidad de vida según el cuestionario índice de impacto BPH (BII) antes de la cirugía y 3 meses luego de la misma. Resultados: Se realizó análisis de correlación entre los síntomas del IPSS y el BII antes de la resección transuretral de próstata y 3 meses después de la misma, encontrándose una correlación significativa entre las dos escalas en ambos momentos. Se realizó un modelo de regresión con las variables de las 2 escalas utilizadas, encontrando que antes de la cirugía los síntomas que deterioran más la calidad de vida son chorro débil, nicturia y frecuencia y los síntomas que al mejorar luego de la cirugía, mejoran la calidad de vida son intermitencia, chorro débil y pujo. Conclusión: Existe una correlación entre la escala IPSS y el índice de calidad de vida BII en los pacientes con STUB que van a ser llevados a RTUP antes y después de la intervención; por lo que el BII podría ser una herramienta para la evaluación inicial y para el seguimiento de los pacientes que son llevados a resección transuretral de próstata .

Estudio de correlación entre la PaO2/FiO2 y la SO2/FiO2 en niños en ventilación mecánica de la Fundación Cardioinfantil en Bogotá entre Abril y Junio de 2011

Objetivos: Determinar si existe correlación entre las variables SaFiO2 y PaFiO2 de pacientes con patología respiratoria aguda en la unidad de Cuidado Intensivo Pediátrico, en la Fundación Cardioinfantil en la ciudad de Bogotá D.C. Materiales y métodos: Se analizaron las variables cuantitativas con medidas de tendencia central como la media y medidas de dispersión como la desviación estándar. Se utilizó un nivel de confiabilidad del 95% y un poder estimado 80%, para prueba de hipótesis de una proporción. Se realizó un análisis de correlación para medir la fuerza de la relación entre las variables PaO2/FiO2 y SO2/FiO2 a través del coeficiente de correlación. Resultados: Se incluyeron 12 pacientes y se tomaron un total de 65 registros de SO2/FiO2 y PaO2/FiO2 encontrando que existe relación positiva entre las variables SaO2/FIO2 y PaO2/FIO2, la cual es variable dependiendo de la fracción inspirada de oxigeno con el cual se encuentre el paciente. De acuerdo a las observaciones realizadas, la variable SaO2/FIO2 está moderadamente correlacionada (r = 0,602) con la PaO2/FIO2, cuando la FIO2 está entre 0.35 y 0.55; un grado de correlación aceptable (r = 0,319) cuando la FIO2 está entre 0.60 – 0.80 y 0.81 – 1 (r = 0,318). Conclusiones: Los métodos no invasivos en la evaluación de la oxigenación podrían ser una alternativa para el seguimiento clínico en niños con lesión pulmonar aguda o síndrome de dificultad respiratorio agudo. Se requiere de estudios analíticos que brinden una mejor evidencia científica que pueda ser extrapolable a la población infantil objeto de este estudio.

Efecto del flujo del dializado sobre la ganancia interdialítica en hemodiálisis crónica (Estudio FLUGAIN)

Objetivos: Determinar si existe diferencia en la ganancia interdialítica entre los pacientes al ser tratados con flujo de dializado (Qd) de 400 mL/min y 500 mL/min. Diseño: Se realizó un estudio de intervención, cruzado, aleatorizado, doble ciego en pacientes con enfermedad renal crónica en hemodiálisis para determinar diferencias en la ganancia de peso interdialítica entre los pacientes tratados con flujo de dializado (Qd) de 400 ml/min y 500 ml/min. Pacientes: Se analizaron datos de 46 pacientes en hemodiálisis crónica con Qd de 400 ml/min y 45 con Qd de 500 ml/min. Análisis: La prueba de hipótesis para evaluar diferencias en la ganancia interdialítica y las otras variables entre los grupos se realizó mediante la prueba T para muestras pareadas. Para el análisis de correlación se calculó el coeficiente de Pearson. Resultados: No hubo diferencia significativa en ganancia interdialítica usando Qd de 400 ml/min vs 500 ml/min (2.37 ± 0.7 vs 2.41 ± 0.6, p=0.41) ni en Kt/V (1.57 ± 0.25 vs 1.59 ± 0.23, p = 0.45), potasio (4.9 ± 1.1 vs 5.1 ± 1.0, p=0.45), fosforo (4.5 ± 1.2 vs 4.4 ± 1.2, p=0.56) o hemoglobina (11.3 ± 1.8 vs 11.3 ± 1.6, p=0.96). Conclusiones: En pacientes con peso ≤ 65 Kg el uso de Qd de 400 ml/min no se asocia con menor ganancia interdialítica de peso. No hay diferencia en la eficiencia de diálisis lo que sugiere que es una intervención segura a corto plazo.

Asociación entre las concentraciones de malondialdehído (MDA) y las alteraciones neurológicas en personas expuestas ocupacionalmente a mercurio

Se cree que la neurotoxicidad por mercurio metálico se debe a la inducción del estrés oxidativo (determinado por aumento de las concentraciones de malondialdehído, MDA), pero se desconoce si la mayor concentración de MDA implica mayor cantidad de alteraciones neurológicas. Objetivo: establecer la asociación entre las concentraciones urinarias de MDA y la gravedad de la neurotoxicidad en individuos expuestos a mercurio. Materiales y métodos: se recurrió a un estudio transversal. Se incluyeron hombres entre 18 y 60 años laboralmente expuestos a mercurio. Se tomaron 110 unidades de análisis de una base de datos. Se obtuvo información de historias clínicas con énfasis en la evolución neurológica, de la concentración de mercurio en orina de 24 horas y de análisis de MDA en orina. Se compararon concentraciones de MDA entre quienes tenían alteraciones neurológicas contra quienes no las tenían y se evaluaron las diferencias de las concentraciones de esta sustancia de acuerdo con la gravedad neurológica; se realizó un análisis de correlación entre concentraciones urinarias de MDA con las concentraciones urinarias de mercurio. Resultados: como resultado se obtuvo que las concentraciones de MDA en los individuos expuestos a mercurio y que presentaron alteraciones neurológicas no fueron diferentes de las concentraciones de los individuos expuestos pero sin alteraciones neurológicas. Sus concentraciones tampoco estuvieron asociadas con la gravedad. No hubo correlación entre las concentraciones urinarias de MDA y mercurio. Conclusión: será necesario buscar otras muestras biológicas diferentes a la orina que reflejen lo que ocurre en el sistema nervioso central (SNC), o buscar otras razones fisiopatológicas que expliquen la presencia de las manifestaciones clínicas en estos individuos.

Estructura a Plazo Colombia: Modelo Afín de tres factores

La estimación e interpretación de la estructura a plazo de la tasas de interés es de gran relevancia porque permite realizar pronósticos, es fundamental para la toma de decisiones de política monetaria y fiscal, es esencial en la administración de riesgos y es insumo para la valoración de diferentes activos financieros. Por estas razones, es necesario entender que puede provocar un movimiento en la estructura a plazo. En este trabajo se estiman un modelo afín exponencial de tres factores aplicado a los rendimientos de los títulos en pesos de deuda pública colombianos. Los factores estimados son la tasa corta, la media de largo plazo de la tasa corta y la volatilidad de la tasa corta. La estimación se realiza para el periodo enero 2010 a mayo de 2015 y se realiza un análisis de correlaciones entre los tres factores. Posterior a esto, con los factores estimados se realiza una regresión para identificar la importancia que tiene cada uno de estos en el comportamiento de las tasas de los títulos de deuda pública colombiana para diferentes plazos al vencimiento. Finalmente, se estima la estructura a plazo de las tasas de interés para Colombia y se identifica la relación de los factores estimados con los encontrados por Litterman y Scheinkman [1991] correspondientes al nivel, pendiente y curvatura.