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Biomathematical Integration of the Functional Coexistence Between Macrofauna and Microorganisms in Nicaraguan Agroecosystems: Tau Index (τ)

Received: 2 October 2024     Accepted: 21 October 2024     Published: 13 November 2024
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Abstract

Agroecology as a science and Biomathematics provide elements that support precision in agroecological designs. The present study was conducted in 10 agroecosystems in Nicaragua located in five departments (Chinandega, Carazo, Matagalpa, Estelí and Boaco). These sites present diversified systems with crops (corn, rice, beans, coffee), forest and cattle. 250 samples of microorganisms and 250 samples of macrofauna were collected and taken to the Laboratories of the National Agrarian University of Nicaragua. The results obtained describe an abundance of 2084 and a richness of 123 families in macrofauna in interaction with 19 genera of microorganisms. The design of 3D pyramidal graphs represented the functional biological interaction on the x, y, z axes between macrofauna families and genera of microorganisms. The design of the Tau index (τ) equation and the obtained values allow us to elucidate the coexistence between organisms. The 20 most significant macrofauna families with their respective positive Tau indices were: Lumbricidae (3.864), Rhinotermitidae (2.486), Acanthodrilidae (0.706), Agelenidae (0.265), Styloniscidae (0.247), Armadillidae (0.208), Porcellionidae (0.19), Polydesmidae (0.178), Histeridae (0.173) and Mycetophilidae (0.168). The families with negative Tau index were: Formicidae (-1.953), Scarabaeidae (-1.438), Chrysomelidae (-0.173), Ixodidae (-0.166), Elateridae (-0.125), Noctuidae (-0.125), Gryllidae (-0.105), Tettigoniidae (-0.74), Culicidae (-0.71) and Cicadidae (-0.05). The genera of microorganisms were: Aspergillus sp., Aureobasidium sp., Bacillus sp., Candida sp., Fusarium sp., Gliocladium sp., Macrophomina sp., Mucor sp., Paecilomyces sp., Penicillium sp., Pseudomonas sp., Pythium sp., Rhizoctonia sp., Rhizopus sp., Sarcina sp., Streptomyces sp., Torula sp., Trichoderma sp. and Verticillium sp. The Lumbricidae family reached the highest interaction in the 3D graphs and the best values of the Tau index. The functional biological diversity of species is irreplaceable by synthetic means. Synergistic actions should be promoted to increase populations of macrofauna that guarantee the coexistence of beneficial microorganisms for the design of agroecosystems with precise biological interactions.

Published in International Journal of Applied Agricultural Sciences (Volume 10, Issue 6)
DOI 10.11648/j.ijaas.20241006.12
Page(s) 275-288
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Agroecology, Mathematical Models, Biostatistics, Interactions, Soil, Biodiversity, Agroecosystems, Crops

References
[1] Ávila Vales, E. (2000). Coexistence in a two-species competition system. Mathematical miscellany, 30, 17-25. Retrieved May 09, 2024, from
[2] Benítez, M., Rivera Núñez, T., & García Barrios, L. (2021). Agroecology and Complex Systems. México: SOCLA. Retrieved April 27, 2024, from
[3] Borrero, C. A., & Silva H., M. R. (2005). Effects of Trichoderma (in vitro) on non-pathogenic microorganisms decomposing organic matter in a class IV Oxisol soil from the piedmont of the llanos. Orinoquía, 9(2), 6-14. Retrieved July 2, 2024, from
[4] Cabrera Dávila, G. d. (2018). Ecological characterization of soil macrofauna in two evergreen forest sites at El Salón, Sierra del Rosario, Cuba. Bosque, 3(39), 363-373. Retrieved April 05, 2024, from
[5] Cairo Cairo, P., & Díaz Martin, B. (2022). Effects of management and establishment of two plant species on the structure of a saline soil. Centro Agricola, 49(1), 167. Retrieved June 8, 2024, from
[6] Castellanos González, L., González Pedraza, A. F., & Capacho Mogollón, A. E. (2019). Influence of agroforestry systems of the Plantar Project on soil macrofauna. BISTUA, 17(3), 105-116.
[7] Céspedes L., C., Vallejos Q., J., & Sánchez L., C. (2017). INIA Digital Library. (INIA, Ed.) Retrieved February 21, 2024, from Manejo agroecológico en sistemas latinoamericanos tradicionales:
[8] Chamorro Martínez, Y. P. (2022). Structure of soil macro-, meso- and microfauna and its relationship with soil quality parameters in agricultural units of northern Colombia: ecological implications. Barranquilla: University of the Coast Corporation. Retrieved June 8, 2024, from
[9] Chavez Suarez, L., Rodríguez García, I., Estrada Prado, W., Magaly Herrera, V., & Medina Mesa, Y. (2021, November 08). Functional composition of the edaphic macrofauna in five grassland agroecosystems in the Granma province, Cuba. Pastos y Forrajes, 44, 1-12. Retrieved April 28, 2014, from
[10] Díaz Zorita, M., Correa, O., Fernández Canigia, M. V., & Lavado, R. S. (2013). Contributions of microbiology to crop production. Buenos Aires, Argentina: Universidad de Buenos Aires. Retrieved July 2, 2024, from
[11] Edwards, C. A., & Arancón, N. Q. (2022, April 28). Interactions Between Earthworms, Microorganisms, and Other Invertebrates. Springer, 275-301.
[12] FAO. (2024, February 21). Agroecology Knowledge Center. Retrieved from ¿Qué es la agroecología?:
[13] Fernández Bravo, J. A. (2010). Neurosciences and Mathematics Teaching. Ibero-American Journal of Education (51), 3-25. Retrieved April 05, 2024, from
[14] FHIA. (2008). Advances in the study of the biology and habits of the blind hen (Phyllophaga obsoleta) in Honduras. San Pedro Sula, Honduras: FHIA. Retrieved April 26, 2024, from
[15] Huerta, E., Rodríguez Olan, J., Evia Castillo, I., Montejo Meneses, E., De la Cruz Mondragón, M., & García Hernández, R. (2005, Diciembre). The diversity of earthworms (annelida, oligochaeta) in the State of Tabasco, Mexico. University and Science, 21(42), 75-85. Retrieved April 27, 2024, from
[16] Jiménez Martínez, A. (2018). Formation of soil aggregates in the interaction of soil-root-endophytic microorganisms: micromorphology and image analysis. Tesis doctoral, Colegio de Posgraduados, Institución de Enseñanza e Investigación en Ciencias Agrícolas, Montecillo. Retrieved April 27, 2024, from
[17] Lou, J., & González Oreja, J. A. (2012). Measuring biological diversity: beyond the Shannon index. Lilloana Zoological Act, 56(2), 3-14. Retrieved April 25, 2024, from
[18] Matienzo Brito, Y., Vázquez Moreno, L. L., & Simonetti, J. A. (2015). Complexity of the design and management of an urban agricultural production system and its relationship with the arthropod fauna. Veg Protection, 30, 171. Retrieved April 05, 2024, from
[19] Morales Alonso, S. I., & Zamora Aviles, N. (2023, Julio-Agosto). Importance of entomophagous insects and entomopathogenic microorganisms for the agroecological management of agricultural pests and diseases. UANL Science, 26(120).
[20] Morel, A., & Ortiz Acosta, O. (2022, March 8). Soil quality in different uses and management through macrofauna as a biological indicator. Brazilian Journal of Animal and Environmental Research, V(1), 996-1006.
[21] OIRSA. (2019). Action plan for the management of the Central American lobster. San Salvador, El Salvador: OIRSA. Retrieved April 04, 2024, from
[22] Pimienta, M., & De Marco, P. (2015). Leaf Beetle (Chrysomelidae: Coleoptera) Assemblages in a Mosaic of Natural and Altered Areas in the Brazilian Cerrado. Ecology, Behavior and Bionomics, 44(1), 242-255.
[23] Politi, N., & Rivera, L. (2019, February 5). Limitations and progress to achieve sustainable forest management in the Southern Yungas. Southern Ecology, 29(1), 138-145. Retrieved April 25, 2024, from
[24] Pompozzi, G., Copperi, S., Schwerdt, L., & Ferretti, N. (2014). Ecology of the cursorial spider Odo bruchi (Araneae: Zoridae) in a natural grassland reserve in central Argentina. Journal of Tropical Biology, 62(1), 11-117. Retrieved April 25, 2024, from
[25] QGIS. (2024, February 21). QGIS. Retrieved February 21, 2024, from Elevation profile view:
[26] Quijano, L., & Martínez H., N. (2015, July). Temporal variation of the araneofauna (Arachnida: Araneae) in a fragment of Tropical Dry Forest (BST), in the department of Atlántico, Colombia. Scientific Bulletin Museum Center Museum of Natural History, 19(2), 381-396.
[27] Roberge, J. M., & Angelstam, P. (2004). Usefulness of the Umbrella Species Concept as a Conservation Tool. Conservation Biology, 18(1), 76-85.
[28] Rodríguez González, H. R. (2014). Agronomic evaluation with an agroecological approach in a diversified system of guava (Psidium guajava L.), cactus pear (Opuntia ficus L.), pineapple (Ananas comosus L.) and papaya (Carica papaya L.) using vermicompost, Managua, Nicaragua, 2009- 2011. Managua: National Agrarian University. Retrieved January 26, 2024, from
[29] Rodríguez González, H. R., & Salazar Centeno, D. J. (2021). Agroecological heuristics: Xi (Ξ) biomathematical models of alpha diversity and Lambda functional entropy index (λ) applied for macrofauna in diversified agroecosystems of Nicaragua. Journal of Agriculture and Rural Development, 122(2).
[30] Rodríguez González, H. R., Salazar Centeno, D. J., & Jurgen Pohlan, H. A. (2022). Gangia Index (Ϫ) of Beta Diversity and Biomathematical Equations Applied to Quantify the Agroecological Multifunctional Entropy: Macrofauna Observed in Agroecosystems of Nicaragua. Canadian Journal of Agriculture and Crops, 7(2), 78-97.
[31] Rodríguez Rodríguez, J. E. (2023). Aspergillus niger as a phosphate solubilizer and plant growth promoter of Solanum lycopersicum and Capsicum annuum. Coahuila, México: Antonio Narro Autonomous Agrarian University. Retrieved July 2, 2024, from
[32] Sánchez, S., & Reinés, M. (2001). Role of edaphic macrofauna in livestock ecosystems. Pastures and Forages, 24(3), 191-202. Retrieved February 22, 2024, from
[33] Sans, F. X. (2007). The diversity of agroecosystems. Ecosystems, 16(1), 44-49. Retrieved April 25, 2024, from
[34] Sarandón, S., & Flores, C. (2014). Theoretical bases for the design and management of sustainable agroecosystems (First ed.). La PLata, Argentina: UNLP.
[35] Scheu, S. (1987). Microbial activity and nutrient dynamics in worm excrement (Lumbricidae). Biol Fert Suelos, 5(1), 230-234.
[36] Tejeda Cruz, C., Mehltreter, K., & Sosa, V. J. (2008). Multi-taxonomic ecological indicators. In R. H. Manson, V. Hernandez Ortiz, S. Gallina, & K. Mehltreter, Coffee agroecosystems of Veracruz, Biodiversity, Management and Conservation (pp. 271-278). México. Retrieved April 26, 2024, from
[37] USAID. (2017). Nicaragua Climate Risk Profile. Managua: USAID. Retrieved February 21, 2024, from
[38] Vieira, L., Nascimento, P. K., & Leivas, F. W. (2018, September 20). Habitat Association Promotes Diversity of Histerid Beetles (Coleoptera: Histeridae) in Neotropical Ecosystems. The Coleopterists Bulletin, 72(3), 541-549.
[39] Zerbino, M. S. (2011). Chapter VI. Soil macrofauna and its relationship with floristic heterogeneity. In A. Altesor, W. Ayala, & J. M. Paruelo, Ecological and technological bases for grassland management (pp. 97-111). Montevideo, Uruguay, Uruguay: INIA. Retrieved June 7, 2024, from
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    Gonzalez, H. R. R., Centeno, D. J. S., Pohlan, H. A. J. (2024). Biomathematical Integration of the Functional Coexistence Between Macrofauna and Microorganisms in Nicaraguan Agroecosystems: Tau Index (τ). International Journal of Applied Agricultural Sciences, 10(6), 275-288. https://doi.org/10.11648/j.ijaas.20241006.12

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    Gonzalez, H. R. R.; Centeno, D. J. S.; Pohlan, H. A. J. Biomathematical Integration of the Functional Coexistence Between Macrofauna and Microorganisms in Nicaraguan Agroecosystems: Tau Index (τ). Int. J. Appl. Agric. Sci. 2024, 10(6), 275-288. doi: 10.11648/j.ijaas.20241006.12

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    Gonzalez HRR, Centeno DJS, Pohlan HAJ. Biomathematical Integration of the Functional Coexistence Between Macrofauna and Microorganisms in Nicaraguan Agroecosystems: Tau Index (τ). Int J Appl Agric Sci. 2024;10(6):275-288. doi: 10.11648/j.ijaas.20241006.12

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  • @article{10.11648/j.ijaas.20241006.12,
      author = {Hugo Rene Rodriguez Gonzalez and Dennis Jose Salazar Centeno and Hermann Alfred Jürgen Pohlan},
      title = {Biomathematical Integration of the Functional Coexistence Between Macrofauna and Microorganisms in Nicaraguan Agroecosystems: Tau Index (τ)
    },
      journal = {International Journal of Applied Agricultural Sciences},
      volume = {10},
      number = {6},
      pages = {275-288},
      doi = {10.11648/j.ijaas.20241006.12},
      url = {https://doi.org/10.11648/j.ijaas.20241006.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijaas.20241006.12},
      abstract = {Agroecology as a science and Biomathematics provide elements that support precision in agroecological designs. The present study was conducted in 10 agroecosystems in Nicaragua located in five departments (Chinandega, Carazo, Matagalpa, Estelí and Boaco). These sites present diversified systems with crops (corn, rice, beans, coffee), forest and cattle. 250 samples of microorganisms and 250 samples of macrofauna were collected and taken to the Laboratories of the National Agrarian University of Nicaragua. The results obtained describe an abundance of 2084 and a richness of 123 families in macrofauna in interaction with 19 genera of microorganisms. The design of 3D pyramidal graphs represented the functional biological interaction on the x, y, z axes between macrofauna families and genera of microorganisms. The design of the Tau index (τ) equation and the obtained values allow us to elucidate the coexistence between organisms. The 20 most significant macrofauna families with their respective positive Tau indices were: Lumbricidae (3.864), Rhinotermitidae (2.486), Acanthodrilidae (0.706), Agelenidae (0.265), Styloniscidae (0.247), Armadillidae (0.208), Porcellionidae (0.19), Polydesmidae (0.178), Histeridae (0.173) and Mycetophilidae (0.168). The families with negative Tau index were: Formicidae (-1.953), Scarabaeidae (-1.438), Chrysomelidae (-0.173), Ixodidae (-0.166), Elateridae (-0.125), Noctuidae (-0.125), Gryllidae (-0.105), Tettigoniidae (-0.74), Culicidae (-0.71) and Cicadidae (-0.05). The genera of microorganisms were: Aspergillus sp., Aureobasidium sp., Bacillus sp., Candida sp., Fusarium sp., Gliocladium sp., Macrophomina sp., Mucor sp., Paecilomyces sp., Penicillium sp., Pseudomonas sp., Pythium sp., Rhizoctonia sp., Rhizopus sp., Sarcina sp., Streptomyces sp., Torula sp., Trichoderma sp. and Verticillium sp. The Lumbricidae family reached the highest interaction in the 3D graphs and the best values of the Tau index. The functional biological diversity of species is irreplaceable by synthetic means. Synergistic actions should be promoted to increase populations of macrofauna that guarantee the coexistence of beneficial microorganisms for the design of agroecosystems with precise biological interactions.
    },
     year = {2024}
    }
    

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  • TY  - JOUR
    T1  - Biomathematical Integration of the Functional Coexistence Between Macrofauna and Microorganisms in Nicaraguan Agroecosystems: Tau Index (τ)
    
    AU  - Hugo Rene Rodriguez Gonzalez
    AU  - Dennis Jose Salazar Centeno
    AU  - Hermann Alfred Jürgen Pohlan
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    N1  - https://doi.org/10.11648/j.ijaas.20241006.12
    DO  - 10.11648/j.ijaas.20241006.12
    T2  - International Journal of Applied Agricultural Sciences
    JF  - International Journal of Applied Agricultural Sciences
    JO  - International Journal of Applied Agricultural Sciences
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    EP  - 288
    PB  - Science Publishing Group
    SN  - 2469-7885
    UR  - https://doi.org/10.11648/j.ijaas.20241006.12
    AB  - Agroecology as a science and Biomathematics provide elements that support precision in agroecological designs. The present study was conducted in 10 agroecosystems in Nicaragua located in five departments (Chinandega, Carazo, Matagalpa, Estelí and Boaco). These sites present diversified systems with crops (corn, rice, beans, coffee), forest and cattle. 250 samples of microorganisms and 250 samples of macrofauna were collected and taken to the Laboratories of the National Agrarian University of Nicaragua. The results obtained describe an abundance of 2084 and a richness of 123 families in macrofauna in interaction with 19 genera of microorganisms. The design of 3D pyramidal graphs represented the functional biological interaction on the x, y, z axes between macrofauna families and genera of microorganisms. The design of the Tau index (τ) equation and the obtained values allow us to elucidate the coexistence between organisms. The 20 most significant macrofauna families with their respective positive Tau indices were: Lumbricidae (3.864), Rhinotermitidae (2.486), Acanthodrilidae (0.706), Agelenidae (0.265), Styloniscidae (0.247), Armadillidae (0.208), Porcellionidae (0.19), Polydesmidae (0.178), Histeridae (0.173) and Mycetophilidae (0.168). The families with negative Tau index were: Formicidae (-1.953), Scarabaeidae (-1.438), Chrysomelidae (-0.173), Ixodidae (-0.166), Elateridae (-0.125), Noctuidae (-0.125), Gryllidae (-0.105), Tettigoniidae (-0.74), Culicidae (-0.71) and Cicadidae (-0.05). The genera of microorganisms were: Aspergillus sp., Aureobasidium sp., Bacillus sp., Candida sp., Fusarium sp., Gliocladium sp., Macrophomina sp., Mucor sp., Paecilomyces sp., Penicillium sp., Pseudomonas sp., Pythium sp., Rhizoctonia sp., Rhizopus sp., Sarcina sp., Streptomyces sp., Torula sp., Trichoderma sp. and Verticillium sp. The Lumbricidae family reached the highest interaction in the 3D graphs and the best values of the Tau index. The functional biological diversity of species is irreplaceable by synthetic means. Synergistic actions should be promoted to increase populations of macrofauna that guarantee the coexistence of beneficial microorganisms for the design of agroecosystems with precise biological interactions.
    
    VL  - 10
    IS  - 6
    ER  - 

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