Continuous multi-criteria methods for crop and soil conservation planning on La Colacha (Río Cuarto, Province of Cordoba, Argentina)

Agro-areas of Arroyos Menores (La Colacha) west and south of Rand south of R?o Cuarto (Prov. of Cordoba, Argentina) basins are very fertile but have high soil loses. Extreme rain events, inundations and other severe erosions forming gullies demand urgently actions in this area to avoid soil degradation and erosion supporting good levels of agro production. The authors first improved hydrologic data on La Colacha, evaluated the systems of soil uses and actions that could be recommended considering the relevant aspects of the study area and applied decision support systems (DSS) with mathematic tools for planning of defences and uses of soils in these areas. These were conducted here using multi-criteria models, in multi-criteria decision making (MCDM); first of discrete MCDM to chose among global types of use of soils, and then of continuous MCDM to evaluate and optimize combined actions, including repartition of soil use and the necessary levels of works for soil conservation and for hydraulic management to conserve against erosion these basins. Relatively global solutions for La Colacha area have been defined and were optimised by Linear Programming in Goal Programming forms that are presented as Weighted or Lexicographic Goal Programming and as Compromise Programming. The decision methods used are described, indicating algorithms used, and examples for some representative scenarios on La Colacha area are given.

Mapping Genetic Diversity of Cherimoya (Annona cherimola Mill.): Application of Spatial Analysis for Conservation and Use of Plant Genetic Resources.

There is a growing call for inventories that evaluate geographic patterns in diversity of plant genetic resources maintained on farm and in species' natural populations in order to enhance their use and conservation. Such evaluations are relevant for useful tropical and subtropical tree species, as many of these species are still undomesticated, or in incipient stages of domestication and local populations can offer yet-unknown traits of high value to further domestication. For many outcrossing species, such as most trees, inbreeding depression can be an issue, and genetic diversity is important to sustain local production. Diversity is also crucial for species to adapt to environmental changes. This paper explores the possibilities of incorporating molecular marker data into Geographic Information Systems (GIS) to allow visualization and better understanding of spatial patterns of genetic diversity as a key input to optimize conservation and use of plant genetic resources, based on a case study of cherimoya (Annona cherimola Mill.), a Neotropical fruit tree species. We present spatial analyses to (1) improve the understanding of spatial distribution of genetic diversity of cherimoya natural stands and cultivated trees in Ecuador, Bolivia and Peru based on microsatellite molecular markers (SSRs); and (2) formulate optimal conservation strategies by revealing priority areas for in situ conservation, and identifying existing diversity gaps in ex situ collections. We found high levels of allelic richness, locally common alleles and expected heterozygosity in cherimoya's putative centre of origin, southern Ecuador and northern Peru, whereas levels of diversity in southern Peru and especially in Bolivia were significantly lower. The application of GIS on a large microsatellite dataset allows a more detailed prioritization of areas for in situ conservation and targeted collection across the Andean distribution range of cherimoya than previous studies could do, i.e. at province and department level in Ecuador and Peru, respectively.

Discrete Multi-Criteria Methods for lands use and conservation planning on La Colacha in Arroyos Menores (Río Cuarto, Province of Córdoba, Argentina)

The study area is La Colacha sub-basins from Arroyos Menores basins, natural areas at West and South of Río Cuarto in Province of Córdoba of Argentina, fertile with loess soils and monsoon temperate climate, but with soil erosions including regressive gullies that degrade them progressively. Cultivated gently since some hundred sixty years, coordinated action planning became necessary to conserve lands while keeping good agro-production. The authors had improved data on soils and on hydrology for the study area, evaluated systems of soil uses and actions to be recommended and applied Decision Support Systems (DSS) tools for that, and were conducted to use discrete multi-criteria models (MCDM) for the more global views about soil conservation and hydraulic management actions and about main types of use of soils. For that they used weighted PROMETHEE, ELECTRE, and AHP methods with a system of criteria grouped as environmental, economic and social, and criteria from their data on effects of criteria. The alternatives resulting offer indication for planning depending somehow on sub basins and on selections of weights, but actions for conservation of soils and water management measures are recommended to conserve the basins conditions, actually sensibly degrading, mainly keeping actual uses of the lands.

Development of somatic embryogenesis for cloning and conservation of mature holm oak trees (Quercus ilex L.)

La encina (Quercus ilex L.) es una de las especies forestales mediterráneas más importantes. Constituye gran parte del estrato arbóreo de dehesas o montados, produce bellota como alimento del ganado y establece simbiosis con hongos micorrizógenos de gran valor económico. La encina está considerada como una especie recalcitrante en términos de conservación de semillas y capacidad morfogénica, lo que dificulta los programas de conservación de recursos genéticos y la mejora de la especie. La propagación vegetativa es una potente herramienta de los programas de mejora, por lo que es preciso desarrollar protocolos de regeneración somática en encina. La embriogénesis somática está considerada como la modalidad más adecuada de regeneración basada en técnicas de cultivo de tejidos vegetales utilizada en biotecnología forestal. Este trabajo se centra en el estudio de determinados aspectos de la embriogénesis somática para la regeneración clonal de encinas adultas. La memoria de esta tesis se ha dividido en capítulos que se corresponden con diferentes aspectos del sistema embriogénico. La embriogénesis somática se indujo en tegumentos maternos de óvulos en desarrollo procedentes de bellotas inmaduras de encinas adultas. A pesar de las bajas frecuencias de inducción, las líneas embriogénicas generadas se amplificaron mediante embriogénesis secundaria observándose cierta pérdida de la capacidad de diferenciación con el tiempo. Tanto el genotipo como la formulación del medio de cultivo influyeron en la respuesta embriogénica, concluyendo que la formulación de macronutrientes de Schenk y Hildebrant del medio sin reguladores de crecimiento fue la combinación más efectiva en la inducción. Los resultados sugirieron la existencia de una ventana en el desarrollo del óvulo más sensible a la inducción. El genotipo in[luyó en la capacidad proliferativa de los cultivos y en la conversión de los embriones somáticos, que se incrementó suplementando el medio con ácido indol-3-butírico y 6-benciladenina. El cultivo en medio líquido de líneas embriogénicas en condiciones de inmersión transitoria incrementó el crecimiento, dependiendo del genotipo, con respecto al cultivo en medio semisólido. Sin embargo, no mejoró la capacidad de diferenciar embriones cotiledonares aislados. Se estableció un protocolo de inicio y mantenimiento de cultivos en suspensión para varias líneas embriogénicas mediante inoculación en alta densidad de agregados embrionarios procedentes del medio semisólido. Para evitar la pérdida de vigor y la capacidad morfogénica debida al cultivo prolongado se desarrolló un protocolo de crioconservación de líneas embriogénicas mediante vitrificación. Al determinar la influencia de los agentes crioprotectores antes y después de su inmersión en nitrógeno líquido se concluyó que las respuestas de capacidad de crecimiento y de diferenciación del material embriogénico son independientes, además de estar bajo influencia del genotipo y el tipo de material crioconservado. La combinación de sacarosa y PVS2 previa a la inmersión en nitrógeno líquido proporcionó la mayor tasa de recuperación. Cuando las líneas fueron crioconservadas 30 días la capacidad de diferenciación se perdió en todas ellas. El análisis de SSR detectó variación somaclonal en el material crioconservado a corto plazo. SSR y RAPD mostraron importantes diferencias genéticas entre los árboles donantes y el material embriogénico que dependieron del genotipo. El grado de detección dependió del marcador empleado. Ambos marcadores revelaron baja inestabilidad intraclonal. Los RAPD revelaron variación genética intra-individuo en las encinas donantes. Se discuten la variación genética pre-existente en encina, su aparición durante las primeras fases de la inducción de embriogénesis, y la presencia de tejidos provenientes de la fertilización en el explanto materno. Esto hace preciso definir la identidad genética del material donante y acometer ensayos de detección precoz de variación somaclonal. ABSTRACT Holm oak (Quercus ilex L.) is one of the most important Mediterranean forest species. It conforms the tree layer of dehesas or montados, it produces acorns to feed the livestock and it establishes symbiosis with profitable mycorrhizal fungi. Holm oak is considered as recalcitrant species in terms of seed conservation and morphogenic capacities, which complicates the development of genetic conservation and improvement programs. Vegetative propagation is one of the mightiest tools for breeding programs therefore; developing protocols for clonal regeneration of holm oak is essential. Somatic embryogenesis is considered the best tissue culture-based way of plant regeneration in forest biotechnology. The present study is focused on the study of certain aspects of somatic embryogenesis for clonal regeneration of mature holm oak. This thesis manuscript is divided into several chapters that match with different aspects of the embryogenic system. Somatic embryogenesis induction was achieved on maternal teguments of developing ovules from immature acorns of adult holm oak trees. Despite the low induction frequencies, the generated embryogenic lines were amplified by secondary embryogenesis. A decline in the differentiation capacity over time was also observed. It was concluded that both genotype and culture media formulation influenced the embryogenic response, being the Schenk and Hildebrandt´s macronutrients formulation from culture medium and the lack of plant growth regulators the most effective combination for the induction of the embryogenic response. It has been suggested the existence of a developmental window in which ovules are prone to induction. Genotype influenced the proliferation capacity and the plant conversion of somatic embryos, which was also favoured by the presence of indol-3-butyric acid and 6-bencyladenine. The use of temporary immersion systems as proliferation in liquid culture of the embryogenic lines increased the growth depending on genotype, when compared to semisolid cultures. However, it did not improve the differentiation of single cotyledonary embryos. A protocol for the initiation and maintenance of embryogenic suspension cultures was established for several embryogenic lines with highly dense inoculi of embryogenic clusters from proliferating semisolid cultures. In order to avoid the loss of vigour and morphogenic ability of embryogenic lines due to prolonged cultures, a cryopreservation protocol for embryogenic lines of holm oak has been developed. During the determination of the influence of cryoprotective agents on the growth and differentiation capacities before and after liquid nitrogen immersion, it was concluded that both responses were independent from each other and also under the influence of genotype and the type of cryopreserved material. The combination of sucrose and PVS2 prior liquid nitrogen immersion provided higher recovery rates. When the same embryogenic lines were cryopreserved for 30 days, none was able to differentiate. The SSRs analysis of the short-term cryopreserved material detected somaclonal variation. Both SSR and RAPD markers showed high sensitivity to detect genetic differences between the donor trees and the generated embryogenic material. Nevertheless, the degree of instability detection depended on the marker. The SSR analysis indicated a relationship between genotype, the studied loci and the located polymorphisms. Also, both markers revealed low intraclonal genetic variation. The RAPD detected genetic variation within the donor trees. The presence of pre-existent genetic variation within mature trees, in addition to its occurrence during the early stages of the embryogenic induction, and the presence of tissues of fertilisation origin within the maternal explants are all discussed. Nonetheless, the determination of the genetic identity of donor material is required, in addition to early detection methods of somaclonal variation.

Development of somatic embryogenesis for cloning and conservation of mature holm oak trees (Quercus ilex L.)

La encina (Quercus ilex L.) es una de las especies forestales mediterráneas más importantes. Constituye gran parte del estrato arbóreo de dehesas o montados, produce bellota como alimento del ganado y establece simbiosis con hongos micorrizógenos de gran valor económico. La encina está considerada como una especie recalcitrante en términos de conservación de semillas y capacidad morfogénica, lo que dificulta los programas de conservación de recursos genéticos y la mejora de la especie. La propagación vegetativa es una potente herramienta de los programas de mejora, por lo que es preciso desarrollar protocolos de regeneración somática en encina. La embriogénesis somática está considerada como la modalidad más adecuada de regeneración basada en técnicas de cultivo de tejidos vegetales utilizada en biotecnología forestal. Este trabajo se centra en el estudio de determinados aspectos de la embriogénesis somática para la regeneración clonal de encinas adultas. La memoria de esta tesis se ha dividido en capítulos que se corresponden con diferentes aspectos del sistema embriogénico. La embriogénesis somática se indujo en tegumentos maternos de óvulos en desarrollo procedentes de bellotas inmaduras de encinas adultas. A pesar de las bajas frecuencias de inducción, las líneas embriogénicas generadas se amplificaron mediante embriogénesis secundaria observándose cierta pérdida de la capacidad de diferenciación con el tiempo. Tanto el genotipo como la formulación del medio de cultivo influyeron en la respuesta embriogénica, concluyendo que la formulación de macronutrientes de Schenk y Hildebrant del medio sin reguladores de crecimiento fue la combinación más efectiva en la inducción. Los resultados sugirieron la existencia de una ventana en el desarrollo del óvulo más sensible a la inducción. El genotipo in[luyó en la capacidad proliferativa de los cultivos y en la conversión de los embriones somáticos, que se incrementó suplementando el medio con ácido indol-3-butírico y 6-benciladenina. El cultivo en medio líquido de líneas embriogénicas en condiciones de inmersión transitoria incrementó el crecimiento, dependiendo del genotipo, con respecto al cultivo en medio semisólido. Sin embargo, no mejoró la capacidad de diferenciar embriones cotiledonares aislados. Se estableció un protocolo de inicio y mantenimiento de cultivos en suspensión para varias líneas embriogénicas mediante inoculación en alta densidad de agregados embrionarios procedentes del medio semisólido. Para evitar la pérdida de vigor y la capacidad morfogénica debida al cultivo prolongado se desarrolló un protocolo de crioconservación de líneas embriogénicas mediante vitrificación. Al determinar la influencia de los agentes crioprotectores antes y después de su inmersión en nitrógeno líquido se concluyó que las respuestas de capacidad de crecimiento y de diferenciación del material embriogénico son independientes, además de estar bajo influencia del genotipo y el tipo de material crioconservado. La combinación de sacarosa y PVS2 previa a la inmersión en nitrógeno líquido proporcionó la mayor tasa de recuperación. Cuando las líneas fueron crioconservadas 30 días la capacidad de diferenciación se perdió en todas ellas. El análisis de SSR detectó variación somaclonal en el material crioconservado a corto plazo. SSR y RAPD mostraron importantes diferencias genéticas entre los árboles donantes y el material embriogénico que dependieron del genotipo. El grado de detección dependió del marcador empleado. Ambos marcadores revelaron baja inestabilidad intraclonal. Los RAPD revelaron variación genética intra-individuo en las encinas donantes. Se discuten la variación genética pre-existente en encina, su aparición durante las primeras fases de la inducción de embriogénesis, y la presencia de tejidos provenientes de la fertilización en el explanto materno. Esto hace preciso definir la identidad genética del material donante y acometer ensayos de detección precoz de variación somaclonal. ABSTRACT Holm oak (Quercus ilex L.) is one of the most important Mediterranean forest species. It conforms the tree layer of dehesas or montados, it produces acorns to feed the livestock and it establishes symbiosis with profitable mycorrhizal fungi. Holm oak is considered as recalcitrant species in terms of seed conservation and morphogenic capacities, which complicates the development of genetic conservation and improvement programs. Vegetative propagation is one of the mightiest tools for breeding programs therefore; developing protocols for clonal regeneration of holm oak is essential. Somatic embryogenesis is considered the best tissue culture-based way of plant regeneration in forest biotechnology. The present study is focused on the study of certain aspects of somatic embryogenesis for clonal regeneration of mature holm oak. This thesis manuscript is divided into several chapters that match with different aspects of the embryogenic system. Somatic embryogenesis induction was achieved on maternal teguments of developing ovules from immature acorns of adult holm oak trees. Despite the low induction frequencies, the generated embryogenic lines were amplified by secondary embryogenesis. A decline in the differentiation capacity over time was also observed. It was concluded that both genotype and culture media formulation influenced the embryogenic response, being the Schenk and Hildebrandt´s macronutrients formulation from culture medium and the lack of plant growth regulators the most effective combination for the induction of the embryogenic response. It has been suggested the existence of a developmental window in which ovules are prone to induction. Genotype influenced the proliferation capacity and the plant conversion of somatic embryos, which was also favoured by the presence of indol-3-butyric acid and 6-bencyladenine. The use of temporary immersion systems as proliferation in liquid culture of the embryogenic lines increased the growth depending on genotype, when compared to semisolid cultures. However, it did not improve the differentiation of single cotyledonary embryos. A protocol for the initiation and maintenance of embryogenic suspension cultures was established for several embryogenic lines with highly dense inoculi of embryogenic clusters from proliferating semisolid cultures. In order to avoid the loss of vigour and morphogenic ability of embryogenic lines due to prolonged cultures, a cryopreservation protocol for embryogenic lines of holm oak has been developed. During the determination of the influence of cryoprotective agents on the growth and differentiation capacities before and after liquid nitrogen immersion, it was concluded that both responses were independent from each other and also under the influence of genotype and the type of cryopreserved material. The combination of sucrose and PVS2 prior liquid nitrogen immersion provided higher recovery rates. When the same embryogenic lines were cryopreserved for 30 days, none was able to differentiate. The SSRs analysis of the short-term cryopreserved material detected somaclonal variation. Both SSR and RAPD markers showed high sensitivity to detect genetic differences between the donor trees and the generated embryogenic material. Nevertheless, the degree of instability detection depended on the marker. The SSR analysis indicated a relationship between genotype, the studied loci and the located polymorphisms. Also, both markers revealed low intraclonal genetic variation. The RAPD detected genetic variation within the donor trees. The presence of pre-existent genetic variation within mature trees, in addition to its occurrence during the early stages of the embryogenic induction, and the presence of tissues of fertilisation origin within the maternal explants are all discussed. Nonetheless, the determination of the genetic identity of donor material is required, in addition to early detection methods of somaclonal variation.

Evaluating sustainability and food security of peasant farming systems in Mesoamerican highlands

En las últimas décadas, la agricultura sostenible ha sido objeto de gran interés y debate académico, no sólo en términos conceptuales, sino también en términos metodológicos. La persistencia de la inseguridad alimentaria y el deterioro de los recursos naturales en muchas regiones del mundo, ha provocado el surgimiento de numerosas iniciativas centradas en revitalizar la agricultura campesina así como renovadas discusiones sobre el rol que juega la agricultura como motor de desarrollo y principal actividad para alivio de la pobreza. Por ello, cuando hablamos de evaluar sistemas campesinos de montaña, debemos considerar tanto la dimensión alimentaria como las especificidades propias de los sistemas montañosos como base fundamental de la sostenibilidad. Al evaluar la contribución que han hecho alternativas tecnológicas y de manejo en la mejora de la sostenibilidad y la seguridad alimentaria de los sistemas campesinos de montaña en Mesoamérica, surgen tres preguntas de investigación: • ¿Se está evaluando la sostenibilidad de los sistemas campesinos teniendo en cuenta la variabilidad climática, la participación de los agricultores y las dinámicas temporales? • ¿Podemos rescatar tendencias comunes en estos sistemas y extrapolar los resultados a otras zonas? • ¿Son inequívocamente positivas las alternativas propuestas que se han llevado a cabo? En este trabajo se presentan tres evaluaciones de sostenibilidad que tratan de poner de manifiesto cuáles son los retos y oportunidades que enfrentan actualmente los sistemas campesinos de montaña. En primer lugar, se evalúan tres sistemas de manejo agrícola bajo dos años meteorológicamente contrastantes. Se determinó que durante el año que experimentó lluvias abundantes y temperaturas moderadas, los sistemas de bajos insumos, basados en el uso de abonos orgánicos y rotación de cultivos, obtuvieron los mejores resultados en indicadores ecológicos y similares resultados en los económicos y sociales que el sistema de altos insumos químicos. En el segundo año, con heladas tempranas y sequía invernal, la productividad se redujo para todos los sistemas pero los sistemas más diversificados (en variedades de maíz y/o siembra de otros cultivos) pudieron resistir mejor los contratiempos climáticos. En segundo lugar, se evalúa el grado de conocimiento (percepción) campesino para determinar los factores claves que determinan la sostenibilidad de sus sistemas y su seguridad alimentaria. Se determinó que los principales puntos críticos identificados por los campesinos (tamaño de parcela y pendiente del terreno) afectan de forma significativa a cuestiones de índole económica, pero no son capaces de explicar los desequilibrios alimenticios existentes. Realizando un análisis comparativo entre comunidades que presentaban buenos y malos resultados en cuanto a aporte energético y proteico, se determinó que la seguridad alimentaria estaba relacionada con la sostenibilidad de los sistemas y que concretamente estaba ligada a los atributos de equidad y autonomía. Otro resultado destacable fue que las comunidades más marginales y con mayor dificultad de acceso mostraron mayores niveles de inseguridad alimentaria, pero la variabilidad intergrupal fue muy alta. Eso demuestra que la seguridad alimentaria y nutricional forma parte de un complejo sistema de estrategias de autoabastecimiento ligada a la idiosincrasia misma de cada uno de los hogares. En tercer lugar, se evaluó el desempeño de las escuelas de campo de agricultores (ECAs) en la mejora de la sostenibilidad y la seguridad alimentaria de un sistema campesino de montaña. Para ver el efecto del impacto de estas metodologías a largo plazo, se estudiaron tres comunidades donde se habían implementado ECAs hace 8, 5 y 3 años. Encontramos que el impacto fue progresivo ya que fue la comunidad más antigua la que mejores valores obtuvo. El impacto de las ECAs fue rápido y persistente en los indicadores relacionados con la participación, el acceso a servicios básicos y la conservación de los recursos naturales. El estudio demostró un claro potencial de las ECAs en la mejora general de la sostenibilidad y la seguridad alimentaria de estos sistemas, sin embargo se observó una relación directa entre el aumento de producción agrícola y el uso de insumos externos, lo que puede suponer un punto crítico para los ideales sostenibles. ABSTRACT During the last decades, sustainable agriculture has been the subject of considerable academic interest and debate, not only in conceptual terms, but also in methodological ones. The persistence of high levels of environmental degradation and food insecurity in many regions has led to new initiatives focused on revitalizing peasant agriculture and renewed discussions of the role of sustainable agriculture as an engine for development, environmental conservation and poverty alleviation. Therefore, to assess mountain farming systems, we must consider food dimension and taking into account the specificities of the mountain systems as the foundation of sustainability. When evaluating contribution of technological and management alternative proposals in achieving sustainability and food security for peasant farming systems in Mesoamerican highlands, three research questions arise: • Is sustainability of peasant-farming systems being evaluated taking into account climate variability, participation of farmers and temporal dynamics? • Can we rescue common trends in these systems and extrapolate the results to other areas? • What alternative proposals that have been conducted are unequivocally positives? In this document, we present three evaluations of sustainability that try to highlight the challenges and opportunities that currently face mountain farming systems in Mesoamerica. First, we evaluate the sustainability of three agricultural management systems in two contrasting weather years. We determined that during the first year that exposed heavy rains and moderate temperatures, low-input systems, which are based on the use of organic fertilizers and crop rotation, provided better results in terms of ecological indicators and equal results in terms of economic and social indicators than those achieved using a high chemical input system. In the second year, which featured early frosts and a winter drought, productivity declined in all systems; however, the most diversified systems (in terms of the maize varieties grown and the sowing of other crops) more successfully resisted these climatic adversities. Second, we evaluate the farmers’ perception to determine the key drivers for achieving their sustainability and food and nutritional security. We determined that the key factors identified by farmers (landholding size and slope of cropland) exerted significant impacts on economic disparities but did not explain the malnutrition levels. We compared two contrasting hamlets according to their energy and protein supply, one namely Limón Timoté (LT), which did not present food problems and Limón Peña Blanca (LP), which did exhibit food insecurity. The results showed that FNS is linked to sustainability, and it is primarily related to the sustainability attributes of self-reliance and equity. Although the more marginated and inaccessible community exhibited more food insecurity, food and nutritional security depend upon a complex array of self-sufficiency strategies that remain linked to individual household idiosyncrasies. Third, we evaluated the impact of farmer field schools for improving the sustainability and food security of peasant mountain systems. In order to appreciate the long-term impact, we studied three communities where FFSs were implemented eight, five and three years ago, respectively. We found that FFSs have a gradual impact, as the community that first implemented FFSs scores highest. The impact of FFSs was broad and long-lasting for indicators related to participation, access to basic services and conservation of natural resources. This study demonstrates the potential of FFSs, but more attention will have to be paid to critical indicators in order to scale up their potential in the future. We observed a direct relationship between the increase in agricultural production and the use of external inputs, which is a critical point for sustainable ideals.

Kinematic geometry of mass-triangles and reduction of Schrödinger’s equation of three-body systems to partial differential equations solely defined on triangular parameters

Schrödinger’s equation of a three-body system is a linear partial differential equation (PDE) defined on the 9-dimensional configuration space, ℝ9, naturally equipped with Jacobi’s kinematic metric and with translational and rotational symmetries. The natural invariance of Schrödinger’s equation with respect to the translational symmetry enables us to reduce the configuration space to that of a 6-dimensional one, while that of the rotational symmetry provides the quantum mechanical version of angular momentum conservation. However, the problem of maximizing the use of rotational invariance so as to enable us to reduce Schrödinger’s equation to corresponding PDEs solely defined on triangular parameters—i.e., at the level of ℝ6/SO(3)—has never been adequately treated. This article describes the results on the orbital geometry and the harmonic analysis of (SO(3),ℝ6) which enable us to obtain such a reduction of Schrödinger’s equation of three-body systems to PDEs solely defined on triangular parameters.

Planning for the Future: Gray Water Supply as a Conservation Measure for a Key Water Provider in Douglas County, Colorado

Diminishing water in the Denver Basin aquifers requires Parker Water and Sanitation District plan for the future to ensure availability of supply. Water conservation is one approach to prolonging the life of the aquifers. Homeowner installed gray water systems will help conserve 25 percent of the water needed and reduce the need to pump ground water for irrigation. Non-potable water through gray water systems will reduce the demand on the supplier. Gray water use will prolong a potable supply to Parker for years ahead. For this plan to be effective, Colorado regulations must change to allow gray water use. This goal will be achieved as the mind-set about water conservation shifts and water suppliers and consumers demand modification to policies.

Alternative incandescent traffic signal lamps and systems for improved optical and energy efficiency. Final report.

Federal Highway Administration, Office of Safety and Traffic Operations Research and Development, Washington, D.C.

Coastal ecological systems of the United States,

Mode of access: Internet.

Solcost, solar hot water handbook : a simplified design method for sizing and costing residential and commercial solar service hot water systems /

"DOE/CS-0042/2"

Sustainable agricultural systems [microform] : hearings before the Subcommittee on Department Operations, Research, and Foreign Agriculture of the Committee on Agriculture, House of Representatives, Ninety-seventh Congress, second session, April 16, 1982, Ontario, Calif., April 22 and 27, 1982, Washington, D.C.

"Serial no. 97-PPP."

Solar thermal energy systems.

Report year ends Sept. 30.

Energy monitoring and control systems (EMCS).

"January 1991."

Resource use decisions and communications systems.

Mode of access: Internet.