Evolutionary computation of forests with Degree- and Role-Constrained Minimum Spanning Trees

Finding the degree-constrained minimum spanning tree (DCMST) of a graph is a widely studied NP-hard problem. One of its most important applications is network design. Here we deal with a new variant of the DCMST problem, which consists of finding not only the degree- but also the role-constrained minimum spanning tree (DRCMST), i.e., we add constraints to restrict the role of the nodes in the tree to root, intermediate or leaf node. Furthermore, we do not limit the number of root nodes to one, thereby, generally, building a forest of DRCMSTs. The modeling of network design problems can benefit from the possibility of generating more than one tree and determining the role of the nodes in the network. We propose a novel permutation-based representation to encode these forests. In this new representation, one permutation simultaneously encodes all the trees to be built. We simulate a wide variety of DRCMST problems which we optimize using eight different evolutionary computation algorithms encoding individuals of the population using the proposed representation. The algorithms we use are: estimation of distribution algorithm, generational genetic algorithm, steady-state genetic algorithm, covariance matrix adaptation evolution strategy, differential evolution, elitist evolution strategy, non-elitist evolution strategy and particle swarm optimization. The best results are for the estimation of distribution algorithms and both types of genetic algorithms, although the genetic algorithms are significantly faster.

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.

Effect of the season on the free phytoprostanes content in Cornicabra extra virgin olive oil from deficit irrigated olive trees

BACKGROUND: The effect of regulated deficit irrigation (RDI) on the phytoprostane (PhytoP) content in extra virgin olive (Olea europaea L., cv. Cornicabra) oil (EVOO) was studied. During the 2012 and 2013 seasons, T0 plants were irrigated at 100% ETc, while T1 and T2 plants were irrigated avoiding water deficit during phases I and III of fruit growth and saving water during the non-critical phenological period of pit hardening (phase II), developing amore severewater deficit in T2 plants. In 2013, a fourth treatment (T3) was also performed, which was similar to T2 except that water saving was from the beginning of phase II to 15 days after the end of phase II. RESULTS: 9-F1t-PhytoP, 9-epi-9-F1t-PhytoP, 9-epi-9-D1t-PhytoP, 9-D1t-PhytoP, 16-B1-PhytoP and 9-L1-PhytoP were present in Cornicabra EVOO, and their contents increased in the EVOO fromRDI plants. CONCLUSION: Deficit irrigation during pit hardening or for a further period of 2 weeks thereafter to increase irrigation water saving is clearly critical for EVOO composition because of the enhancement of free PhytoPs, which have potential beneficial effects on human health. The response of individual free PhytoPs to changes in plant water status was not as perceptible as expected, preventing their use as biomarkers of water stress.

Bootstrap confidence levels for phylogenetic trees

Evolutionary trees are often estimated from DNA or RNA sequence data. How much confidence should we have in the estimated trees? In 1985, Felsenstein [Felsenstein, J. (1985) Evolution 39, 783–791] suggested the use of the bootstrap to answer this question. Felsenstein’s method, which in concept is a straightforward application of the bootstrap, is widely used, but has been criticized as biased in the genetics literature. This paper concerns the use of the bootstrap in the tree problem. We show that Felsenstein’s method is not biased, but that it can be corrected to better agree with standard ideas of confidence levels and hypothesis testing. These corrections can be made by using the more elaborate bootstrap method presented here, at the expense of considerably more computation.

Matchings and phylogenetic trees

This paper presents a natural coordinate system for phylogenetic trees using a correspondence with the set of perfect matchings in the complete graph. This correspondence produces a distance between phylogenetic trees, and a way of enumerating all trees in a minimal step order. It is useful in randomized algorithms because it enables moves on the space of trees that make random optimization strategies “mix” quickly. It also promises a generalization to intermediary trees when data are not decisive as to their choice of tree, and a new way of constructing Bayesian priors on tree space.

Visualization of Cavitated Vessels in Winter and Refilled Vessels in Spring in Diffuse-Porous Trees by Cryo-Scanning Electron Microscopy1

Xylem cavitation in winter and recovery from cavitation in the spring were visualized in two species of diffuse-porous trees, Betula platyphylla var. japonica Hara and Salix sachalinensis Fr. Schm., by cryo-scanning electron microscopy after freeze-fixation of living twigs. Water in the vessel lumina of the outer three annual rings of twigs of B. platyphylla var. japonica and of S. sachalinensis gradually disappeared during the period from January to March, an indication that cavitation occurs gradually in these species during the winter. In April, when no leaves had yet expanded, the lumina of most of the vessels of both species were filled with water. Many vessel lumina in twigs of both species were filled with water during the period from the subsequent growth season to the beginning of the next winter. These observations indicate that recovery in spring occurs before the onset of transpiration and that water transport through twigs occurs during the subsequent growing season. We found, moreover, that vessels repeat an annual cycle of winter cavitation and spring recovery from cavitation for several years until irreversible cavitation occurs.

Bootstrap confidence levels for phylogenetic trees.

Evolutionary trees are often estimated from DNA or RNA sequence data. How much confidence should we have in the estimated trees? In 1985, Felsenstein [Felsenstein, J. (1985) Evolution 39, 783-791] suggested the use of the bootstrap to answer this question. Felsenstein's method, which in concept is a straightforward application of the bootstrap, is widely used, but has been criticized as biased in the genetics literature. This paper concerns the use of the bootstrap in the tree problem. We show that Felsenstein's method is not biased, but that it can be corrected to better agree with standard ideas of confidence levels and hypothesis testing. These corrections can be made by using the more elaborate bootstrap method presented here, at the expense of considerably more computation.

Hyperplane arrangements, interval orders, and trees.

A hyperplane arrangement is a finite set of hyperplanes in a real affine space. An especially important arrangement is the braid arrangement, which is the set of all hyperplanes xi - xj = 1, 1 trees. For instance, the number of labeled interval orders that can be obtained from n intervals I1,..., In of generic lengths is counted. There is also discussed an arrangement due to N. Linial whose number of regions is the number of alternating (or intransitive) trees, as defined by Gelfand, Graev, and Postnikov [Gelfand, I. M., Graev, M. I., and Postnikov, A. (1995), preprint]. Finally, a refinement is given, related to counting labeled trees by number of inversions, of a result of Shi [Shi, J.-Y. (1986), Lecture Notes in Mathematics, no. 1179, Springer-Verlag] that a certain deformation of the braid arrangement has (n + 1)n-1 regions.

Calculating the probability of multitaxon evolutionary trees: bootstrappers Gambit.

The reconstruction of multitaxon trees from molecular sequences is confounded by the variety of algorithms and criteria used to evaluate trees, making it difficult to compare the results of different analyses. A global method of multitaxon phylogenetic reconstruction described here, Bootstrappers Gambit, can be used with any four-taxon algorithm, including distance, maximum likelihood, and parsimony methods. It incorporates a Bayesian-Jeffreys'-bootstrap analysis to provide a uniform probability-based criterion for comparing the results from diverse algorithms. To examine the usefulness of the method, the origin of the eukaryotes has been investigated by the analysis of ribosomal small subunit RNA sequences. Three common algorithms (paralinear distances, Jukes-Cantor distances, and Kimura distances) support the eocyte topology, whereas one (maximum parsimony) supports the archaebacterial topology, suggesting that the eocyte prokaryotes are the closest prokaryotic relatives of the eukaryotes.

Trees as Tools in Environmental Improvement; An Analysis of the Contribution of Vegetation to Energy and Water Conservation in the Front Range of Colorado

The Denver metropolitan area is facing rapid population growth that increases the stress on already limited resources. Research and advanced computer modeling show that trees, especially those in urban areas, have significant environmental benefits. These benefits include air quality improvements, energy savings, greenhouse gas reduction, and possible water conservation. This Capstone Project applies statistical methods to analyze a small data set of residential homes and their energy and water consumption, as a function of their individual landscape. Results indicate that tree shade can influence water conservation, and that irrigation methods can be an influential factor as well. The Capstone is a preliminary analysis for future study to be performed by the Institute for Environmental Solutions in 2007.

Common trees / by J. Francis Macbride, Asst. Curator, Taxonomy, Dept. of Botany.

no.11(1936)