Site percolation threshold of composite square lattices and its agroecology applications.

We analyze the percolation threshold of square lattices comprising a combination of sites with regular and extended neighborhoods. We found that the percolation threshold of these composed systems smoothly decreases with the fraction of sites with extended neighbors. This behavior can be well-fitted by a Tsallis q-Exponential function. We found a relation between the fitting parameters and the differences in the gyration radius among neighborhoods. We also compared the percolation threshold with the critical susceptibility of nearest and next-to-nearest neighbor monoculture plantations vulnerable to the spread of phytopathogen. Notably, the critical susceptibility in monoculture plantations can be described as a linear combination of two composite systems. These results allow the refinement of mathematical models of phytopathogen propagation in agroecology. In turn, this improvement facilitates the implementation of more efficient computational simulations of agricultural epidemiology that are instrumental in testing and formulating control strategies.

Percolation-intercropping strategies to prevent dissemination of phytopathogens on plantations.

Phytophthora is one of the most aggressive and worldwide extended phytopathogens that attack plants and trees. Its effects produce tremendous economical losses in agronomy and forestry since no effective fungicide exists. We propose to combine percolation theory with an intercropping sowing configuration as a non-chemical strategy to minimize the dissemination of the pathogen. In this work, we model a plantation as a square lattice where two types of plants are arranged in alternating columns or diagonals, and Phytophthora zoospores are allowed to propagate to the nearest and next-to-nearest neighboring plants. We determine the percolation threshold for each intercropping configuration as a function of the plant's susceptibilities and the number of inoculated cells at the beginning of the propagation process. The results are presented as phase diagrams where crop densities that prevent the formation of a spanning cluster of susceptible or diseased plants are indicated. The main result is the existence of susceptibility value combinations for which no spanning cluster is formed even if every cell in the plantation is sowed. This finding can be useful in choosing a configuration and density of plants that minimize damages caused by Phytophthora. We illustrate the application of the phase diagrams with the susceptibilities of three plants with a high commercial value.

Effects of Kaolin on Lobesia botrana (Lepidoptera: Tortricidae) and Its Compatibility With the Natural Enemy, Trichogramma cacoeciae (Hymenoptera: Trichogrammatidae).

Lobesia botrana (Denis and Schiffermüller) (Lepidoptera: Tortricidae) is an important grapevine pest in Europe recently encountered in America. Trichogramma cacoeciae Marchal (Hymenoptera: Trichogrammatidae) is amongst the most effective parasitoids for Lepidopteran species. Studies to evaluate the effect of kaolin, an inert, nontoxic mineral, on oviposition, egg hatch, and neonate mortality of these species were carried out. Efficacy on L. botrana neonate larvae, oviposition, and egg hatch was evaluated. Effects of kaolin on parasitism and emergence of T. cacoeciae from L. botrana and Ephestia kuehniella (Zeller) (Lepidoptera: Pyralidae) eggs were also evaluated. Lobesia botrana egg hatch and oviposition rates were reduced, and neonate larvae mortality was significantly greater in kaolin-treated arenas and when included in synthetic neonate larvae diet. Kaolin had no effect on T. cacoeciae parasitism in both hosts. There was only a slight but statistically insignificant effect on T. cacoeciae progeny emergence from L. botrana eggs and no effect from E. kuehniella. The results involving reductions in L. botrana oviposition and egg hatch and increase in larval mortality with kaolin suggest this compound may contribute to reduction in population densities and can be considered in rational integrated pest management strategies for L. botrana. Due to the laboratory results presented on parasitoid emergence, even though field bioassays would give a more exhaustive evaluation, it appears kaolin can be compatible with T. cacoeciae in L. botrana management.

Antifeedant and phagostimulant activity of extracts and pure compounds from Hymenoxys robusta on Spodoptera exigua (Lepidoptera: Noctuidae) larvae.

In this study, the insecticidal and antifeedant activities of compounds from the leaves of Hymenoxys robusta on Spodoptera exigua, also known as armyworm, are reported. The methanol extract possessed suppressive activity, as well as a high antifeedant activity, suggesting that this extract has toxic effects on larvae. Compounds isolated from the plant show that a derivative of inositol and hymenolides stimulate the feeding, while vermeerin shows a high antifeedant effect. In addition, the methanol extract inhibited oviposition, whereas consumption of the n-hexane extract and hymenolides produced infertile eggs. These findings suggest that compounds extracted from H. robusta have potential for the development of products for pest control.

New saponins from Sechium mexicanum.

The chemical study of Sechium mexicanum roots led to the isolation of the two new saponins {3-O-beta-D-glucopyranosyl (1 --> 3)-beta-D-glucopyranosyl-2beta,3beta,16alpha,23-tetrahydroxyolean-12-en-28-oic acid 28-O-alpha-L-rhamnopyranosyl-(1 --> 3)-beta-D-xylopyranosyl-(1 --> 4)-alpha-L-rhamnopyranosyl-(1 --> 2)-alpha-L-arabinopyranoside} (1) and {3-O-beta-D-glucopyranosyl (1 --> 3)-beta-D-glucopyranosyl-2beta,3beta,16alpha,23-tetrahydroxyolean-12-en-28-oic acid 28-O-alpha-L-rhamnopyranosyl-(1 --> 3)-beta-D-xylopyranosyl-(1 --> 4)-[beta-D-apiosyl-(1 --> 3)]-alpha-L-rhamnopyranosyl-(1 --> 2)-alpha-L-arabinopyranoside} (2), together with the known compounds {3-O-beta-D-glucopyranosyl-(1 --> 3)-beta-D-glucopyranosyl-2beta,3beta,6beta,16alpha,23-pentahydroxyolean-12-en-28-oic acid 28-O-alpha-L-rhamnopyranosyl-(1 --> 3)-beta-D-xylopyranosyl-(1 --> 4)-alpha-L-rhamnopyranosyl-(1 --> 2)-alpha-L-arabinopyranoside} (3), tacacosides A(1) (4) and B(3) (5). The structures of saponins 1 and 2 were elucidated using a combination of (1)H and (13)C 1D-NMR, COSY, TOCSY, gHMBC and gHSQC 2D-NMR, and FABMS of the natural compounds and their peracetylated derivates, as well as by chemical degradation. Compounds 1-3 are the first examples of saponins containing polygalacic and 16-hydroxyprotobasic acids found in the genus Sechium, while 4 and 5, which had been characterized partially by NMR, are now characterized in detail.