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Obtención del mapa de rendimiento georreferenciado del cultivo de cacao (Theobroma cacao L.) CCN-51 mediante el empleo de técnicas de agricultura de precisión=

 

Georeferenced yield mapping of cocoa crop (Theobroma cacao L.)= CCN-51 using precision agriculture techniques

 


1

Erick Alberto Eguez Enriquez

 <= /span>

https://orcid.org/0000-0002-7071-4645=

 

 <= /span>

Universidad Técnica Estatal de Quevedo (UTEQ), Quevedo, Ecuador.

Magister Scientiae en Producción Vegetal

eeguez@uteq.edu.ec<= /span>

2

Edwin Miguel Jiménez Romero

 <= /span>

https://orcid.org/0000-0002-7411-8189=

 

 <= /span>

Universidad Técnica Estatal de Quevedo (UTEQ), Quevedo, Ecuador.

Magister en Manejo y Aprovechamiento Forestal

ejimenez@uteq.edu.ec

3

Oscar Oswaldo Prieto Benavides

 <= /span>

https://orcid.org/0000-0003-4101-0523=

 

 <= /span>

Universidad Técnica Estatal de Quevedo (UTEQ), Quevedo, Ecuador.

Doctor en Recursos Naturales

oprieto@uteq.edu.ec=

4

Anyela Nayeli Cedeño Cedeño

 <= /span>

https://orcid.org/0009-0008-7192-010X=

 

 <= /span>

Universidad Técnica Estatal de Quevedo (UTEQ), Quevedo, Ecuador.

acedenoc8@uteq.edu.ec

 

 

 = ;

Artículo de Investigación Científica y Tecnológica

Enviado: 12/04/2025=

Revisado: 10/05/2025

Aceptado: 30/06/2025

Publicado:28/07/2025

DOI: https://doi.org/10.33262/c= ienciadigital.v9i3.1.3376  =

 

 =

 

Cítese:

 

 

Eguez Enriquez, E., Jiménez Romero, E. M., P= rieto Benavides, O. O., & Cedeño Cedeño, A. N. (2025). Obtención del mapa de rendimiento georreferenciado del cultivo de cacao (Theobroma cacao L.) CCN-51 mediante el empleo de técnicas de agricultura de precisión. Ciencia Digital, <= i>9(3.1), 27-44. https://doi.org/10.33262/cienciadigital= .v9i3.1.3376

&nbs= p;

 

 

&= nbsp;

CIENCIA DIGITAL, es una revista multidisciplinaria, trimestral, que se publicará en soporte electrónico t= iene como misión contribuir a la   formación de profesionales competentes con visión humanística y crítica que sean capaces de exponer = sus resultados investigativos y científicos en la misma medida que se promueva mediante su intervención cambios positivos en la sociedad. https://cienciadigital.org

La revista es editada= por la Editorial Ciencia Digital (Editorial de prestigio registrada en la Cám= ara Ecuatoriana de Libro con No de Afiliación 663) www.celibro.org.ec<= /span>

 <= /u>

 

 

Esta revista está protegida bajo una licencia Creat= ive Commons Atribución-NoComercial= -CompartirIgual 4.0 International. Copia de la licen= cia: https://creativecommons.org/lic= enses/by-nc-sa/4.0/deed.es

 

Palabras claves: Producción, monilla, fitoftoria, geoestadístic= a, espacial.

 =

Resumen =

Introducción= :  La Agricultura de Precisión optimiza el uso de insumos, aprovechando la variabilidad espacial y temporal que existe dent= ro de los cultivos tanto para suelo, productividad, plagas y enfermedades. Su implementación en frutales perennes representa un desafío debido a la estimación de rendimiento. En cultivos de cacao la variabilidad en la productividad es significativa, afectando la eficiencia del manejo agríco= la. Aunque existen estudios sobre interpolación en cultivos de ciclo corto, se requiere un enfoque específico para frutales perennes. Objetivo:  Este estudio busca validar un méto= do que mapee la variabilidad espacial del rendimiento de cacao CCN-51 en sistema= s de cosecha manual. Metodología:  = El área experimental cuenta con una superficie de 3000 m², con plantas injertadas de 7 años. Para el muestreo, el área se dividió en 36 celdas regulares de 30 m x 30 m. Durante la cosecha de marzo a junio, se recolectaron mazorcas quincenalmente y se georreferenciaron con GPS, utilizando el sistema UTM y la aplicación Mobile Top= ographer. Los análisis estadísticos se realizaron con GS+ y QGIS 3.10, aplicando interpolación mediante kriging o el inverso d= e la distancia, según la dependencia espacial. Resultados: El estudio d= el cacao CCN-51 mostró variabilidad mensual en la producción. Las enfermedad= es, como monilla y mazorca negra, aumentaron a lo largo del tiempo. La geoestadística reveló que tanto el modelo gaussiano como el esférico fuer= on adecuados para describir la dependencia espacial de las mazorcas sanas, enfermas y del peso seco, con una alta dependencia espacial en la mayoría= de los meses. La interpolación mediante kriging permitió identificar áreas específicas de alta y baja producción, mostran= do que las zonas suroeste y central fueron las más productivas o afectadas s= egún el mes. Conclusión: El método propuesto permite optimizar la gesti= ón del cultivo de cacao, aumentando la precisión en el uso de recursos y mejorando la sostenibilidad en sistemas agrícolas perennes. Área de estudio general: Agronomía Área de estudio específica: Agricul= tura de precisión Tipo de estudio:  Artículos original= es.=

 

Keywords:Production, frosty pod rot, Phytophthora, geos= tatistics, spatial.

 

 =

Abstract

Introduction= : Precision Agriculture optimizes input use by leveraging the spatial and temporal variability present within crops, including soil, productivity, pests, and diseases. Its implementation in perennial fruit trees represents a challenge due to yield estimation. In = cacao crops, variability in productivity is significant, affecting the efficien= cy of agricultural management. Although studies on interpolation exist for short-cycle crops, a specific approach is required for perennial fruit tr= ees. Objective: This study aims to validate a method for mapping the spatial variability of CCN-51 cacao yield in manual harvest systems. M= ethodology: The experimental area covers 3000 m², with 7-year-old grafted plants.= For sampling, the area was divided into 36 regular cells of 30 m x 30 m. Duri= ng the harvest from March to June, pods were collected biweekly and georeferenced using GPS, employing the UTM system and the Mobile Topograp= her app. Statistical analyses were performed with GS+ and QGIS 3.10, applying interpolation through kriging or inverse distance weighting, depending on spatial dependence.  Results: = The study of CCN-51 cacao showed monthly variability in production. Diseases = such as frosty pod rot and black pod increased over time. Geostatistical analy= sis revealed that both the Gaussian and spherical models were suitable to describe the spatial dependence of healthy pods, diseased pods, and dry weight, with high spatial dependence in most months. Kriging interpolation allowed the identification of specific areas of high and low production, showing that the southwest and central zones were the most productive or affected depending on the month. Conclusion: The proposed method allows for optimizing cacao crop management, increasing resource use efficiency, and improving sustainability in perennial agricultural system= s. General Area of Study: Agronomy. Specific area of study: Precision agriculture. Type of study: Original articles.

&= nbsp;

 

 =

 =

 =

1.      Introducción<= /b>

La Agricultura de Precisión (AP) ha sido adoptada ampliamente en el mundo, especialmente en cultivos de ciclo corto, como los de granos. Los agriculto= res recurren a esta metodología debido a la necesidad de abordar la heterogenei= dad que presenta el campo. Existen variaciones tanto temporales como espaciales= en factores clave como el clima, el suelo, la aplicación de fertilizantes, la presencia de plagas y enfermedades(Talaat, 2023)= .

El establecimiento de zonas de manejo específicas dentro de los cultivos, basa= das en características particulares, permite determinar el potencial de rendimi= ento en cada área. Para ello, se utilizan bases de datos que combinan mapas de propiedades físicas del suelo, relieve, rendimiento histórico, entre otros factores. La AP facilita que los agricultores tomen decisiones más informad= as y adaptadas a las condiciones de cada sitio, optimizando así el uso de recurs= os y mejorando la eficiencia productiva (Kumar et al., 2022).<= /p>

El monitoreo de la producción es una de las actividades más importantes en la = AP, ya que proporciona información clave sobre el rendimiento en distintas zonas del cultivo. Este análisis permite implementar estrategias de manejo diferenciadas para optimizar la productividad en cada área. En muchos casos= , la cosecha es mecanizada, y los datos que conforman los mapas de rendimiento provienen directamente de sensores instalados en las cosechadoras, lo que garantiza una recopilación precisa y eficiente de la información (Colaço et al., 2020; Ota et al., 2019).<= /p>

El rendimiento en árboles frutales, especialmente en cultivos como el cacao, el café y los cítricos, es uno de los aspectos más complejos de la AP, debido = a la limitada disponibilidad de métodos efectivos. Los investigadores han intent= ado desarrollar técnicas para estimar la producción de frutos por planta, utilizando el conteo de frutos en secciones de la copa de los árboles. Sin embargo, este método presenta limitaciones, ya que la estructura de ramificación y la fructificación varían tanto entre especies como entre cultivares de la misma especie, dificultando una estimación precisa del rendimiento (Triboni & Barbosa, 2004).

En São Paulo, Brasil, se evaluó la variabilidad espacial en la productividad y= el tamaño de los frutos de naranja, aplicando técnicas de geoestadística. A tr= avés de datos obtenidos en distintos puntos de las parcelas donde la cosecha se almaceno temporalmente en algún tipo de contenedor. Posteriormente, se real= izó una interpolación para generar mapas detallados de productividad. Este anál= isis permitió identificar áreas de alta y baja productividad dentro de los culti= vos (Molin et al., 2012; Molin & Ma= scarin, 2007). De manera similar, en la región amazónica del noreste de Pará en Brasil, y en el departamento de Casanare en Colombia, se llevaron a cabo estudios para mapear la productividad del cacao mediante el= uso del interpolador Kriging y datos georreferenciados de cada planta. Estos análisis permitieron identificar puntos específicos con un mayor número de frutos y un índice de peso más alto. La aplicación de la geoestadística mos= tró ser una herramienta eficiente para evaluar la variabilidad espacial de la p= roducción (Furtado & Oliveira, 2019; = Molin et al., 2012).

Es importante establecer nuevas técnicas para la generación de mapas de productividad en especies perennes para adoptar estrategias de georreferenciamiento efectivas. Esto permitirá al agricultor visualizar, mediante imágenes, el estado actual de su cultivo y abordar de manera oport= una problemas relacionados con plagas, enfermedades o deficiencias nutricionale= s en el cultivo, contribuyendo así a mejorar los rendimientos.=

El objetivo de este estudio es desarrollar y validar un método para mapear la variabilidad en el rendimiento del cultivo de cacao CCN-51 (Theobroma ca= cao L.), utilizando técnicas de AP que sean simples, eficientes y compatibles c= on los sistemas existentes de cosecha manual.

2.      Metodología

Caracterización del área

El área experimental se encuentra en las coordenadas geográficas: 00º 33' 08.2= '' de latitud Sur, 79º 26' 48.5'' de longitud Oeste de Greenwich, a una altitu= d de 160 m (sede de la finca), ubicada en el cantón Buena Fe, en la provincia de= Los Ríos (Figura 1). El suelo del área es un Andisol y de textura franca. La finca tiene una super= ficie de plantación de 3000 m2 con plantas de cacao CCN-51 (Theobro= ma cacao L.) injertadas, de 7 años, con un espaciamiento de 3 m x 3 m y un total de 3290 plantas.

Figura 1

Localización geográfica del área de estudio y distribución de los puntos muestrales

<= /o:p>

El área se dividió en subparcelas utilizando un muestreo en celdas regulares d= e 30 m x 30 m aproximadamente, es decir, con una configuración de 36 pequeñas celdas.

Las coordenadas utilizadas en el trabajo se transformaron al sistema UTM (Unive= rsal Transversa de Mercator), siguiendo el sistema de coordenadas rectangulares. Este sistema de coordenadas establece la división de la Tierra en 60 husos = de 6° cada uno.

Muestreo en cuadrícula

Durante la cosecha, entre los meses de marzo, abril, mayo y junio, se realizaron recolecciones quincenales de mazorcas maduras, evaluando tanto mazorcas san= as como mazorcas enfermas en cada celda de la parcela experimental. Estas fuer= on abiertas para extraer las almendras frescas, las cuales se colocaron en sac= os distribuidos en cada celda de la parcela experimental. El método descrito p= or (Molin & Mascarin, 2007) se utilizó para generar el mapa de rendimiento, basado en la georreferenciació= n de sacos y en el cálculo del rendimiento en estos puntos. Para calcular el rendimiento, fue necesario conocer la masa de fruta en cada saco y el área = que esta representaba en el campo. Después de la interpolación, el punto de rendimiento (kg/ha) formó la superficie del mapa de rendimiento.=

Los sacos fueron georeferenciados con un receptor G= PS utilizando la aplicación Mobile Topographer, instalada en un celular Hisilicon Kirin 710 Hua= wei. El área representativa de cada saco se obtuvo multiplicando el ancho de la franja de cosecha (30 m) por la mitad de la distancia entre puntos vecinos. Para esto, las coordenadas geográficas se convirtieron a coordenadas métric= as (UTM) para calcular las distancias entre los sacos usando el teorema de Pitágoras.

Tratamiento de los Datos

El análisis inicial se fundamentó en estadísticas descriptivas, considerando valores de tendencia central, dispersión y coeficiente de variación, para cada variable.

Para evaluar la estructura espacial de las variables mazorcas sanas, mazorcas enfermas y peso seco de cacao por hectárea se util= izó el software GS+ Geostatistics for the Environmental <= span class=3DSpellE>Sciences versión 10.0 (Robertson, 2008), se calculó el semivari= ograma el cual representa la relación entre los lags (espacios) del intervalo de muestreo y la semivarianza= (Swan, 1998). Teóricamente, un semivariograma puede ser calculado según la Ecuación 1.

                                                 =                    (1)

donde: γ(h) es la semivarianza en función de la distancia, Z(xi) representa el valor de la variable en el punto i; Z(xi+h) el valor de la variable en el punto xi + h, N(h= ) es el número de veces que dos puntos distintos están separados por una misma distancia h.

Para calcular el desempeño del método muestral, se utilizó el método de validación cruzada leave-one-o= ut, que consiste en remover un punto del conjunto de datos, estimar su valor mediante el método de muestro, y luego reincorporarlo al conjunto para repe= tir el proceso con el siguiente punto, hasta completar todos los puntos del conjunto de datos. Una vez obtenidos los valores observados y estimados. Se calculó el error cuadrático medio (RMSE), para las variables en estudio, conforme la Ecuación 2.

                                                 =                                   (2)

donde:  representa el valor estimado de la varia= ble en el punto i; xi es el valor observado de la variabl= e en el punto i; y n el número de puntos muestreados.

La estimación del punto removido se realizó mediante kriging ordinario, tras ajustar el semivariograma de cada variable. Los mod= elos de semivariogramas que se evaluaron fueron el exponencial, esférico, gaussi= ano y lineal, eligiendo el modelo con mayor coeficiente de determinación (r²). A partir de cada modelo ajustado, se obtuvieron los parámetros Co, Co+C y el índice de dependencia espacial (Hammam et al., 2022)= .

Todo el análisis geoestadístico se realizó utilizando herramientas de geoprocesamiento de QGIS. Para la interpolación y generació= n de los mapas temáticos, se utilizó el método inverso de la distancia (cuando la dependencia espacial fuera baja) o kriging para lo cual se utilizó el plugi= n Smart-Map. El plugin es un complemento para el software= QGIS (QGIS development Team, 2018) versión 3.10 o superior desarrollado en Python (creado por Guido Van Rossum y gerenciado Por Python Software Foundation, Delaware, EUA). Smart-Map está disponibl= e en GitHub o puede ser instalado desde el repositorio de p= lugins de QGIS (Pereira et al., 2022).

3.      Resultados y discusión

Estadística descriptiva

Los datos de cosecha de mazorcas sanas y enfermas, así como el peso seco en kil= ogramos por hectárea (kg/ha) del cacao CCN-51, presentan una variabilidad notable e= ntre los diferentes meses de evaluación (marzo, abril, mayo y junio), como se muestra en la Tabla 1.

La producción de mazorcas sanas varió significativamente a lo largo de los mes= es. Marzo mostró el promedio más alto de mazorcas sanas (5134.24), mientras que= en junio se observó la menor producción promedio (2585.36). El coeficiente de variación (CV%) reflejó variabilidad considerable, con el valor más alto en junio (47.52%). La cantidad de mazorcas enfermas fue significativamente may= or en junio, con un promedio de 17810, en contraste con marzo, que presento el promedio más bajo con 7513.03. El CV% de las mazorcas enfermas también fue alto, reflejando la variabilidad espacial en la distribución de enfermedade= s en los meses de marzo, mayo y junio, mientras que en abril se observó una baja dependencia espacial.

Tabla 1=

Estadística descriptiva de los datos de cosecha del cultivo CCN-51

Mes

Descriptiva

Promedio

Des. Estándar=

Varianza

Min

Max

CV%

Marzo

Mazorcas Sanas

5134.24=

1662.75=

2764723.19=

2333.00=

9111

32.39=

Mazorcas enfermas<= o:p>

7513.03=

3741.61=

13999648.21=

2000.00=

14444.00=

49.80

Peso seco kg/ha

590.46=

261.09=

68166.26=

232.33=

1303.00=

44.22

Abril

Mazorcas Sanas

4960.29=

1719.31=

2956017.61=

2333.00=

8555.00=

34.66=

Mazorcas enfermas<= o:p>

3299.27=

829.31=

687762.95=

2222.00=

5333.00=

25.14

Peso seco kg/ha

628.63=

289.08=

83570.11=

262.67=

1313.11=

45.99

Mayo

Mazorcas Sanas

4365.50=

1667.66=

2781099.65=

1666.00=

8000.00=

38.20

Mazorcas enfermas<= o:p>

5508.00=

3570.17=

12746126.38=

2111.00=

15111.00=

64.82

Peso seco kg/ha

475.05=

198.91=

39563.40=

141.33=

969.67=

41.87

Junio

Mazorcas Sanas

2585.36=

1228.61=

1509479.86=

333.00=

5555.00=

47.52

Mazorcas enfermas<= o:p>

17810.00=

10527.06=

110818953.76=

3777.00=

41666.00=

59.11

Peso seco kg/ha

252.23=

138.86=

19282.11=

30.33=

646.44=

55.05

 

En cuanto al rendimiento de peso seco, el mes de abril mostró el promedio más = alto con 628.63 kg/ha, mientras que en junio disminuyó considerablemente a 252.23 kg/ha. El coeficiente de variación para el peso seco fue alto en todos los meses, lo que indica una distribución no uniforme del rendimiento en el áre= a de estudio.

A lo largo del tiempo, se observó una disminución en la producción de mazorcas sanas y rendimiento de cacao seco y un incremento en la cantidad de mazorcas enfermas. Esto se atribuye a la presencia de frutos infectados después de la fecundación de la flor, que coincidió con condiciones ambientales favorables para el desarrollo de patógenos. Estas condiciones propiciaron la prolifera= ción de enfermedades durante las primeras doce semanas de desarrollo de los frut= os, resultando en una pérdida significativa de mazorcas sanas, estimada entre e= l 60 y el 80% (Cubillos, 2023; Albores et al., 2022). Entre las principales enfermedades que afectaron la producción, se destacan la Monill= a, causada por Moniliophthora roreri, y la mazorca negra, causada por <= i>Phytophthora spp.. Estas patologías tuvieron un impacto considerable en la reducción de frutos sanos, limitando la productividad del cultivo de cacao (Anzules-Toala et al., 2021)= .

Geoestadística

En la Tabla 2 se observa que para mazorcas sanas = los modelos gaussiano y esférico se ajustaron mejor dependiendo del mes. Para m= arzo y mayo, el modelo gaussiano presentó el menor error cuadrático medio (RMSE), mientras que en abril y junio el modelo esférico fue el que mejor se ajustó= . En términos de R², los valores estuvieron consistentemente altos (por encima de 0.95), lo que indica una buena precisión de los modelos en todos los meses.= Los valores del índice de dependencia espacial (IDE) fueron altos, con un grado= de dependencia clasificado como ALTA en cada caso, lo que resalta una fuerte estructura espacial en la distribución de las mazorcas sanas.

Tabla 2

Parámetros de ajuste del semivariograma para la producción de mazorcas sanas de cacao CCN-51

Mes

Nugget=

Sill

Rango (m)

Modelo=

RMSE

R2=

IDE (%)

Grado de dependencia

Marzo

1060000

5230000

275.40

Gaussiano

4.83x1010

0.98

79.73

ALTA

Abril

430000

3970000

252.10

Esférico

1.27x1011

0.95

89.17

ALTA

Mayo

490000

4090000

225.86

Gaussiano

7.20x1010

0.98

88.02

ALTA

Junio

356000

1563000

110.70

Esférico

1.22x1010

0.97

77.22

ALTA

RMSE =3D error cuadrático medio, R2 =3D coeficiente de determinación,= IDE =3D índice de dependencia espacial

En general, el modelo gaussiano fue óptimo para los meses de marzo y mayo, mientras que el modelo esférico fue adecuado para abril y junio, lo que sug= iere una variabilidad temporal en la estructura espacial de las mazorcas de cacao CCN-51.

La Tabla 3 muestra los parámetros de ajuste de= los semivariogramas para la producción de mazorcas enfermas en el cultivo de ca= cao CCN-51. Los resultados muestran que, en los meses de marzo y mayo, el modelo esférico ofreció el mejor ajuste, evidenciado por un RMSE bajo y valores de= R² elevados (0.98 y 0.995, respectivamente), lo que indica una buena precisión= del modelo. En contraste, para el mes de abril, el modelo lineal mostró el menor RMSE, pero su valor de R² (0.881) fue menor en comparación con los otros me= ses, lo que se traduce en una menor dependencia espacial, reflejada también en el IDE del 0%, lo cual implica baja dependencia espacial lo que sugiere una ma= yor aleatoriedad en la distribución de las mazorcas enfermas.=

Para junio, el modelo gaussiano fue el que mejor se ajustó, con un R² de 0.995 y= un IDE del 79.50%, mostrando una alta dependencia espacial de las mazorcas enfermas durante este mes.

Tabla 3

Parámetros de ajuste del semivariograma para la producción de mazorcas enfermas de cacao CCN-51

Mes

Nugget=

Sill

Rango (m)

Modelo=

RMSE

R2=

IDE (%)

Grado de dependencia

Marzo

2990000

15760000

86.50

Esférico

8.01x1011

0.98

81.03

ALTA

Abril

678683.13

678683.13

222.65

Lineal

9.66x1010

0.88

0.00

BAJA

Mayo

2290000

19440000

144.40

Esférico

5.45x1011

0.99

88.22

ALTA

Junio

37500000

183000000

138.56

Gaussiano

5.13x1013

0.99

79.51

ALTA

RMSE =3D menor error cuadrático medio, R2 =3D coeficiente de determin= ación, IDE =3D índice de dependencia espacial

La Tabla 4 presenta los parámetros de ajuste d= el semivariograma para la producción de cacao seco CCN-51 por hectárea. En tod= os los meses evaluados, se observa que el modelo gaussiano proporciona el mejor ajuste para marzo, abril y mayo, mientras que el modelo esférico es el más adecuado para junio. Los valores de RMSE varían considerablemente, siendo m= ayo el mes con el menor RMSE, lo que indica una mayor precisión del modelo en e= ste mes. Los valores de R² se mantienen altos, superiores a 0.90 en todos los casos, lo cual demuestra una buena capacidad predictiva de los modelos utilizados. Además, los IDE son altos en todos los meses, reflejando un gra= do de dependencia espacial ALTA en la producción de cacao seco por hectárea.

Tabla 4

Parámetros de ajuste del semivariograma para la producción de cacao CCN-51 seco por hectárea

Mes

Nugget=

Sill

Rango (m)

Modelo=

RMSE

R2=

IDE (%)

Grado de dependencia

Marzo

15100

101300

200.57

Gaussiano

9.92x107

0.97

85.09

ALTA

Abril

14900

240800

320.08

Gaussiano

1.30x109

0.96

93.81

ALTA

Mayo

8100

57300

224.65

Gaussiano

7134340

0.99

85.86

ALTA

Junio

2790

19930

87.50

Esférico

6435133

0.92

86.00

ALTA

RMSE =3D menor error cuadrático medio, R2 =3D coeficiente de determin= ación, IDE =3D índice de dependencia espacial

Los resultados de este estudio están en concordancia con los hallazgos de Furtado y Oliveira (2019)  y Cárdenas Pardo et al. (2017), quienes también realizaron un mapeo de enfermedades en el cultivo de cacao. En sus investigaciones, observaron una alta variabilidad espacial en la distribuci= ón de las enfermedades, lo cual coincide con nuestros resultados. Asimismo, am= bos estudios identificaron que el modelo esférico y Gaussiano fueron los más adecuados para describir la dependencia espacial de enfermedades en cacao. Además, tanto en el estudio de Furtado y Oliveira como en el presente traba= jo, se observó que, en ciertos meses, a pesar de un alto nivel de infestación, = no se registró una dependencia espacial marcada, evidenciando una distribución aleatoria de la enfermedad.

La variabilidad dentro de los cultivos frutícolas, como los cítricos, fue documentada en los estudios de Molin et al. (2012) y Furtado y Oliveira (2019), quienes identificaron una marcada variabilidad espacial, lo que permite a los productores ubicar con precisión las zonas de mayor y menor productividad. En sus investigaciones, los semivariogramas que mejor se ajustaron a la producción de cítricos fueron principalmente los modelos esférico y gaussiano. Estos hallazgos son consistentes con los resultados de nuestro estudio, ya que se observó una variabilidad espacial similar en el cultivo de cacao, y los mismos modelos = de semivariograma resultaron ser los más adecuados para describir esta variabilidad.

Al comparar los resultados de producción de cacao de este estudio con los obtenidos por Interpolación usando Kriging

Los resultados del procedimiento de interpolación indicaron que el kriging podría interpolar la cantidad mazorc= as enfermas. Durante el primer mes de cosecha, marzo, se registró un 18 % de la superficie con la mayor producción de mazorcas sanas por hectárea, concentr= ada en la zona suroeste del área de estudio (Figura 2A). En abril, el porcentaj= e de superficie con altos niveles de producción de mazorcas sanas por hectárea f= ue del 15%, localizado igualmente en el suroeste (Figura 2B). En mayo, esta ár= ea representó un 13% de la superficie con producciones altas de mazorcas sanas= por hectárea, manteniéndose en la zona suroeste (Figura 2C). Finalmente, en jun= io, último mes de cosecha, un 51% de la superficie alcanzó la mayor producción = de mazorcas sanas por hectárea, ubicándose principalmente en la zona oeste del área de estudio (Figura 2D).

= Figura 2

Mapas interpolados de mazorcas sanas en la plantación de cacao para los meses de marzo(A), abril = (B), mayo(C) y junio (D).

<= /span>

Los resultados del proceso de interpolación mostraron que el método de kriging = fue efectivo para estimar la cantidad de mazorcas enfermas, siendo aplicable únicamente en los meses de marzo, mayo y junio. Durante el primer mes de cosecha, marzo, se observó que un 44% de la superficie presentó la mayor cantidad de mazorcas enfermas, concentradas en el suroeste del área de estu= dio (Figura 3A). En el mes de abril, la interpolación se realizó mediante el método IDW, debido a la ausencia de dependencia espacial, los resultados muestran que el 18% de la superficie del área de estudio presentó las mayores concentraciones de frutos afectados, distribuidos de manera dispersa en el área de estudio (Figura 3B). En mayo, el 37% de la superficie del área de estudio presentó las mayores concentracion= es de frutos enfermos, concentrándose principalmente en la zona central del ár= ea de estudio. (Figura 3C). Finalmente, para el mes de junio, el 42% de la superficie del área de estudio presentó las mayores concentraciones de frutos enfermos, concentrándose principalmente en la zona central (Figura 3D).

= Figura 3

Mapas interpolados de mazorcas enfermas en la plantación de cacao para los meses de marzo(A), abril (B), mayo(C) y junio = (D).

<= /o:p>

Los resultados del proceso de interpolación mostraron que el método de kriging fue capaz de estimar el rendimiento de cacao seco por hectárea durante todos los meses que duró el estudio. El mes de marzo, primer mes de cosecha, se presentó un 25% de la s= uperficie con la mayor producción de cacao seco, principalmente en la parte suroeste = del área de estudio (Figura 4A), en el mes de abril, se presentó aproximadamente el 30% de la superficie con la producción más alta= de cacao seco en la parte suroeste (Figura 4B), el mes de = mayo se presentó un 27%  de la superfici= e con las valores más altos de cacao seco en la parte suroeste (Figura = 4C) y el mes de junio último mes de cosecha se observa que aproximadamente el 2= 3% de la superficie alcanzó los valores más altos de peso seco, principalmente= en las zonas centrales del área de estudio  (Figura 4D). En contraste,= las áreas con menores valores de peso seco se concentraron en la parte este.

La variabilidad tanto para frutos enfermos, así como para frutos sanos que se ve reflejado en la producción sugiere diferencias en las condiciones de manejo de enfermedades, ya que al= ser un cultivo con enfoque convencional tiene una rápida propagación de plagas = (Okumura et al., 2014). Esta investigación corroboró la existencia de múltiples focos de infección = y un aumento en los valores de incidencia de enfermedades a lo largo del tiempo, concordando con Cárdenas Pardo et al. (2017). En particular, los rangos de dependencia espacial observados variaron entre 86= .5 y 144.4 m en los meses de estudio, lo cual representa distancias mayores a las reportadas por Cárdenas Pardo et al. (2017) y Ten Hoopen et al. (2009)= . Esta diferencia puede estar asociada a las características específicas de l= os clones utilizados en cada estudio, que presentan distintos niveles de resistencia.

= Figura 4

Mapas interpolados de peso seco de cacao para l= os meses de marzo(A), abril (B), mayo(C) y junio (D).=

<= /o:p>

Los resultados obtenidos confirman que= el clon CCN-51, utilizado en nuestra investigación, presenta susceptibilidad a= Phytophthora spp. y resistencia a Moniliophthora roreri, como se evidenció en el aumento progresivo de la susceptibilidad a enfermedades a lo largo del estu= dio. Este comportamiento podría haber sido influenciado por las condiciones agroclimáticas prevalentes durante el período de investigación, caracteriza= das por una alta humedad relativa y precipitaciones constantes, las cuales favorecieron la proliferación de Phytophthora spp. Este hallazgo est= á en concordancia con los resultados reportados en estudios previos, como los de= Cabi (2021) y = Cárdenas Pardo et al. (2017), que tam= bién identificaron la influencia de estos factores en la prevalencia de la enfermedad.

La edad es otra característica relevan= te en el sistema productivo, ya que tanto la cantidad de frutos como la incide= ncia de frutos enfermos aumentan a medida que las plantaciones envejecen. En particular, se ha observado que, en plantaciones de entre 4.4 y 8.7 años, la incidencia de enfermedades en los frutos incrementa significativamente, ran= go de edad que coincide con el de las plantas empleadas en esta investigación = (Ramírez Gil, 2016).

4.      Conclusiones

·&nb= sp;        La producción de mazo= rcas sanas disminuyó significativamente a lo largo del periodo de estudio, con el promedio más bajo en junio, mientras que la cantidad de mazorcas enfermas aumentó, especialmente en los últimos meses. Esto resalta la influencia de condiciones ambientales favorables para el desarrollo de patógenos que afectaron la salud del cultivo de cacao CCN-51.

·&nb= sp;        Los modelos de semivariograma esférico y gaussiano fueron efectivos para capturar la estructura espacial de las mazorcas sanas, enfermas y el rendimiento de cac= ao seco, con variaciones mensuales en el ajuste de los modelos. Estos resultad= os indican una alta dependencia espacial en la distribución de las enfermedade= s y la productividad en el cultivo.

·&nb= sp;        La interpolación medi= ante kriging demostró ser una herramienta útil para estimar la variabilidad espa= cial del rendimiento y la distribución de mazorcas sanas y enfermas en el área de estudio. Este enfoque puede ayudar a identificar zonas de manejo específico= y a optimizar las prácticas de control de enfermedades en plantaciones de cacao, minimizando así el impacto de patógenos en la producción.=

5.      Conflicto de intereses

Los autores declaran que no existe conflicto de intereses en relación con el artículo presentado.

6.      Declaración de contribución de los autores

Todos autores contribuyeron significativamente en la elaboración del artículo.

7.      Costos de financiamiento

La presente investigación fue financiada en su totalidad con fondos propios de= los autores.

8.      Referencias Bi= bliográficas

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Cabi. (2021). Phytophthora megakarya (black pod of cocoa). CABI Digital Library. https://doi.org= /10.1079/cabicompendium.40979

Cárdenas Pardo, N. J., Darghan Contreras, A. E., Sosa Rico, M.= D., & Rodríguez, A. (2017). Análisis espacial de la incidencia de enfermeda= des en diferentes genotipos de cacao (Theobroma cacao L.) en El Yopal (Casanare= ), Colombia. Acta Biológica Colombiana, 22(2), 209–220. <= /span>https://doi.org= /10.15446/abc.v22n2.61161

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ISSN: 2602-8085

Vol. 9 No. 3.1 , pp. 27 – 44, julio 2025=

Revis= ta multidisciplinar

Articulo original=

 

Esta revista está protegida = bajo una licencia Creative Commons en la 4.0 International. Copia de la licencia: http://cr= eativecommons.org/licenses/by-nc-sa/4.0/ =

 

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