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Research Article

Diallel crosses for resistance to Macrophomina phaseolina and Thanatephorus cucumeris on cowpea

Received: August 15, 2017
Accepted: August 30, 2017
Published: September 27, 2017
Genet.Mol.Res. 16(3): gmr16039804
DOI: 10.4238/gmr16039804

Abstract

This study aimed at identifying and selecting through partial diallel analysis, segregating populations of cowpea resistant to Macrophomina phaseolina and Thanatephorus cucumeris, based on the evaluation of general (GCA) and specific combining ability (SCA), involved in the genetic control of resistance. For this reason, 19 grouped cowpea genotypes, considering the resistance to these pathogens, were crossed in partial diallel scheme 14 x 5, during 2013 and 2014. The 70 F2 populations and the 19 parents were evaluated in a greenhouse as the reaction to pathogens, separately. The diallel analysis was performed according to the model of partial diallel proposed by Geraldi and Miranda Filho (1988). The additive effects predominated in the genetic control of the traits severity of charcoal rot (SEV) and area under the disease progress curve (AUDPC) to web blight, enabling the achievement of genetic gain with selection of resistant strains. Analyzing the effects of GCA, the parents BR 14-Mulato, BRS Tumucumaque and BRS Guariba, have a higher concentration of favorable alleles, highlighting, according to the values of SCA, the combinations BR 14-Mulato x MNC02-675F-4-10, BRS Tumucumaque x IT98K-1092-1, BRS Tumucumaque x MNC02- 675F-4-10, BRS Tumucumaque x MNC02-675F-9-2, BRS Guariba x IT98K-1092-1, BRS Guariba x MNC02-675F-4-9, and BRS Guariba x MNC02-675F-4-10, as the most promising and indicated to obtain lines resistant to M. phaseolina and T. cucumeris in cowpea, simultaneously.

Introduction

Cowpea [Vigna unguiculata (L.) Walp.] is quite cultivated in many countries of tropical and subtropical regions of Africa, Asia, America, Europe, and Oceania. Due to its high nutritional value, especially since this is a legume rich in protein, carbohydrates, vitamins, minerals, fiber, and low in fat, the cowpea is one of the major components of diet of several low-income populations in the world (Timko and Singh, 2008; Freire Filho et al., 2011).

Because it is a culture of high strategic potential and boasts a large genetic variability and phenotypic plasticity, undemanding in terms of fertility of soils and tolerant to high temperatures, the cowpea has been cultivated in different production systems (Freire Filho et al., 2007). The occurrence of diseases, especially those caused by fungi, constitutes one of the main causes of reduced productivity of cowpea, negatively affecting the quantity and quality of production. Two diseases stand out among the main diseases: charcoal rot, whose etiological agent is the fungus Macrophomina phaseolina (Tassi) Goid, and the web blight, caused by the fungus Thanatephorus cucumeris (Frank) Donk. (anamorphic phase Rhizoctonia solani Kühn).

The presence of high genetic variability, survivability through structures of resistance and wide host range, as well as the lack of registration of inputs which allow the control of charcoal rot and web blight, make difficult their management. In this way, the use of resistant cultivars is presented as one of the most efficient strategies in controlling these diseases (Athayde Sobrinho et al., 2005).

Among the main demands of short term of the Breeding Program of Cowpea related to expansion of the consumer market and to incorporation of producers with a new profile, the development of cultivars resistant to biotic stress still constitutes a challenge for plant breeders (Freire Filho et al., 2013).

It is important to emphasize that in a breeding program aiming at obtaining genotypes with genetic resistance to pathogens, it is necessary to perform genetic studies to define what breeding methods should be adopted. Among the methods of biometric genetic analysis, the diallel is highlighted for allowing the retrieval of information based on the behavior “per se” of a group of parents and their combining ability (Cruz et al., 2012). This information aids in the choice of the segregating populations, with high potential to provide superior progenies and indicate the most appropriate selecting strategy, thus ensuring the efficiency of the program.

However, it is not aware of studies that aimed at genetic improvement for resistance to M. phaseolina and T. cucumeris which have used the technique of diallel crosses as a strategy for the identification of potential parents aiming to produce progeny resistant to these pathogens in cowpea.

The present study was carried out with the objective of identifying and selecting segregating populations of cowpea genotypes resistant to M. phaseolina and T. cucumeris, through diallel analysis, based on the evaluation of general and specific combining ability involved in genetic control of resistance to these pathogens, between parents and F2 populations of cowpea.

Material and Methods

Genetic material

From results obtained in studies conducted by Noronha et al. (2009), Lima et al. (2012a,b) and Nechet and Halfeld-Vieira (2007), nineteen cowpea genotypes were selected as parents, being divided into two groups. Group A was composed of fourteen genitors of cowpea chosen by presenting resistance to the fungus T. cucumeris, and group B contained five parents who showed reactions of resistance and moderate resistance to the fungus M. phaseolina (Table 1).

Genotype Group Origin Size Type of grain (subclass)
BR14 Mulato A Brazil Semi-prostrate Brown
Canapuzinho A Brazil Semi-prostrate Crowder
IT98K-491-4 A Nigeria Semi-erect Rough white
IT98K-506-1 A Nigeria Semi-erect Smooth white
MNC01-649F-2-1 A Brazil Semi-prostrate Brown-striped
MNC02-677F-5 A Brazil Semi-prostrate Brown
MNC02-689F-2-8 A Brazil Semi-prostrate Evergreen
BRS Aracê A Brazil Semi-prostrate Green
BRS Marataoã A Brazil Semi-prostrate Evergreen
MNC03-737F-5-9 A Brazil Semi-erect Smooth white
BRS Tumucumaque A Brazil Semi-erect Smooth white
BRS Cauamé A Brazil Semi-erect Smooth white
BRS Itaim A Brazil Semi-erect Black-eyed pea
BRS Guariba A Brazil Erect Smooth white
IT98K-1092-1 B Nigeria Semi-erect Black
MNC03-761F-1 B Brazil Semi-prostrate Evergreen
MNC02-675F-4-9 B Brazil Semi-erect Brown
MNC02-675F-4-10 B Brazil Semi-erect Brown
MNC02-675F-9-2 B Brazil Semi-erect Brown

Table 1: Relationship between cowpea parents with their respective groups of resistance, origin, plant size, and type of grain used in the diallel crosses.

Seventy crosses were made between the parents of groups A and B, in partial diallel scheme, during 2013 and 2014 in conditions of greenhouse using the method of crossing described by Freire Filho et al. (2005) and Rêgo et al. (2006). After obtaining the F1 generation, the seeds of hybrids were sown in conditions of greenhouse, for the obtaining of F2 generation of each cross.

Evaluation of F2 populations of cowpea genotypes for resistance to Macrophomina phaseolina

Strain of M. phaseolina (MP 09) used in this study was obtained from the collection of fungi in the laboratory of Phytopathology of Embrapa Meio-Norte. The preparation of the inoculum was performed in accordance with Songa et al. (1997), using as substrate grains of rice in the husk, autoclaved at 120°C for 20 min, adding five disks of half culture potatodextrose- agar (PDA) with 5.0 mm diameter, containing mycelia of M. phaseolina, being incubated in B.O.D. during 15 days under temperature of 25° ± 2°C and photoperiod of 12 h.

The seeds of 70 F2 populations of cowpea were disinfected in a solution of NaClO 1.5% during 2 minutes, rinsed in tap water and placed to dry on paper towel. The sowing was in plastic pots containing substrate (70% soil, 15% rice straw burnt and 15% cattle manure) previously autoclaved at 120°C for 1 h, and infested in each of the five discs with three rice grains colonized with the pathogen. The witnesses consisted in the deposition of three grains of rice autoclaved in each pit. The experimental design was completely randomized with five replications, and the experimental plot consisted of a pot with five plants.

The evaluation was performed 20 days after sowing, and the severity of the disease estimated with the aid of a scale from zero to five, adapted from Abawi and Pastor-Corrales (1990), in which: 0 = absence of symptoms; 1 = lesions limited to the cotyledonary tissues; 2 = root injuries, and/or reaching the tissues of the hypocotyl in approximately 2.0 cm; 3 = injuries above 2.0 cm in length in the region of the neck of the plant; 4 = stem with its diameter colonized by the fungus and/or with the presence of pycnidia; 5 = non-germinated seeds and seedlings damping-off.

Evaluation of F2 populations of cowpea genotypes for resistance to Thanatephorus cucumeris

The isolate 141 T. cucumeris, belonging to the group of anamastose AGI-1A, kept in the collection of fungi in the laboratory of Phytopathology of Embrapa Roraima, was grown on Petri dishes containing culture of PDA and incubated for three days at 25ºC in the dark. After this period, three disks of mycelium obtained from the periphery of the colony were transferred to Erlenmeyer of 250 mL containing 100 mL liquid potato-dextrose (PD), subsequently placed in an incubator (Shaker) at a speed of 250 rpm at 28° ± 2ºC for 10 days. After this period, the mycelium obtained was filtered, suspended in sterile distilled water and crushed for 1 min using a mechanical shaker. The inoculum concentration was estimated in Neubauer chamber and set to 1 x 106 fragments of mycelium/mL.

The sowing of F2 populations of cowpea was performed in plastic pots containing soil previously disinfected with fumigant of soil of active principle metam-sodium. Then, four seeds per pot were sown. After the beginning of the germination of seeds, it was done the “thin out” to keep only two plants per pot. The trial was conducted in a completely randomized block design, with four replications, being each repetition composed of a pot with two plants.

The inoculation method used was adapted from Nechet et al. (2009), with the suspension of inoculum mixed with Tween 20 (0.05%) and sprayed in cowpea genotypes thirty days after sowing with the aid of a mini pressurizer. After inoculation, plants were placed in a humid chamber for 6 h at 25ºC, and then exposed to greenhouse conditions (25° ± 2ºC). As witnesses, eight plants of cowpea type black-eyed peas Vaina Blanca were used, where four were sprayed with sterile distilled water with the addition of Tween 20 (0.05%).

The evaluations were performed during five consecutive days from the onset of symptoms, by estimating the percentage of diseased leaf with the aid of the diagrammatic scale proposed by Van Schoonhoven and Pastor-Corrales (1987), ranging from 0-100%, in that: 0% = absence of symptoms and 100% = fully infested plant.

Statistical analyses

Analysis of severity of charcoal rot

With evaluation data of charcoal rot in cowpea genotypes it was calculated the severity of the disease (SEV) in accordance with the index of McKinney (1923), the term:

equation (Equation 1)

where: A: score in the scale; B: frequency; C: total number of plants; D: maximum class in the scale.

Analysis of the reaction of Thanatephorus cucumeris

From data obtained in the evaluation of the intensity of the web blight in cowpea genotypes it was calculated the area under disease progress curve of web blight (AUDPC) (Campbell and Madden, 1990), based on the formula:

equation (Equation 2)

The averages were grouped by Scott-Knott test at 5% probability, and all analyses were performed with the use of the software Sisvar (Ferreira, 2011).

Diallel analysis

The average of the parents and the F2 plants obtained through the analysis of SEV and AUDPC were submitted to the diallel analysis according to the model of partial diallel proposed by Geraldi and Miranda Filho (1988) adapted from the Model 2 proposed by Griffing (1956). The effects of the treatments were considered as fixed and the mean squares for the general (GCA) and specific (SCA) of combination were obtained in accordance with the statistical model:

equation (Equation 3)

in which: Yij, is the average value of the hybrid combination involving the i-th parent of Group 1 and the j-th parent of group 2; Y0i is the average of the i-th parent of group 1; Y0j is the mean of the j-th parent of group 2; μ, general average of diallel; d1, d2, contrasts involving means of groups 1 and 2 and the overall average; gi, effect of general combining ability of the i-th parent of group 1; g’j, effects of general combining ability of the j-th parent of group 2; sij, effect of specific combining ability; equation , mean experimental error. Statistical analyses were performed using the computational resources of the software Genes (Cruz, 2006).

Results

The significance presented by the mean squares of SEV and AUDPC, and between the contrasts of the progenies and the parents by F test (P ≤ 0.01) (Table 2), indicate the existence of genetic variability among the eighty-nine cowpea genotypes evaluated in the expression of reaction to pathogens, and the possibility of selection of genotypes for resistance improvement.

SV SEV AUDPC
  d.f. MS d.f. SM1
Genotypes - 88 14.11** 88 13.34**
- Progenies vs Genitors1 1 275.34** 1 75.11**
- Progenies vs G1 1 278.73** 1 40.30**
- Progenies vs G2 1 32.16** 1 46.01**
- G1 vs G2 1 18.86** 1 7.89*
Residue 356 1.88 251 1.71
Total 448   343  
CV% 20.0   21.0  
Overall average 6.81   6.20  

Table 2: Analysis of variance for the severity of charcoal rot (SEV) and area under the disease progress curve for web blight (AUDPC), analyzed in diallel crosses involving nineteen genitors of cowpea.

The individual and partial diallel analysis for the traits SEV and AUDPC, along with the effects of genotypes, broken down into GCA and SCA and the contrast between the means of the groups (G1 vs G2), revealed significant differences for most sources of variation, except for the contrast between the means of the groups (G1 vs G2) to the trait AUDPC, which was not significant (Table 3).

SV SEV AUDPC
  DF MS DF MS
Treatments 88 14.11** 88 13.66**
GCA1 13 22.45** 13 23.28**
GCA2 4 6.58** 4 14.29**
SCA 70 11.45* 70 12.00**
GCAG1 vs GCAG2 1 122.74** 1 1.58ns
Residue 356 1.88 251 1.71
GCA(1)/SCA 1.59   1.74  
ɸg/ ɸs (G1) 0.13   0.13  
ɸg/ ɸs (G2) 0.07   0.17  

Table 3: Summary of the diallel analysis for severity of charcoal rot (SEV) and the area under the disease progress curve for the web blight (AUDPC) relating to the evaluation of cowpea genotypes from group 1, group 2 and its F2 populations.

The significance of the effects of the GCA and SCA (P ≤ 0.01) indicates the acting of additive and non-additive effects in the control of the traits SEV and AUDPC (Table 3), suggesting the existence of differences in the concentration of favorable alleles between the parents of the same group and genetic divergence between the groups of parents evaluated for resistance to pathogens M. phaseolina and T. cucumeris.

Estimates of the effect of GCA in group 1, for the trait SEV (Table 4) ranged from -0.86 (BRS Guariba) to 1.88 (IT98K-491-4), while in group 2, ranged from -0.24 (MNC02- 675F-4-10) to 0.44 (MNC02-675F-4-9). For such characteristics the traits BR 14-Mulato, BRS Marataoã, BRS Tumucumaque and BRS Guariba stood out for presenting less significant values of GCA, being the most recommended to be used as parents in breeding for resistance to M. phaseolina in cowpea. However, the other parents who have submitted estimates of negative and non-significant GCA (Table 4) may also be referred to as sources of resistance and with potential to reduce the severity of charcoal rot.

Group 1 SEV AUDPC
  gi gi
BR 14-Mulato -0.57 ** -0.79 **
Canapuzinho 0.31 0.75 **
IT98K-491-4 1.88 ** -0.55 **
IT98K-506-1 0.46 * -1.24 **
MNC01-649F-2-1 0.32 -0.31
MNC02-677F-5 -0.16 0.60 **
MNC02-689F-2-8 -0.11 0.72 **
BRS Aracê 0.37 0.78 **
BRS Marataoã -0.64 ** 1.10 **
MNC03-737F-5-9 -0.38 0.76 **
BRS Tumucumaque -0.69 ** -0.45 **
BRS Cauamé 0.43 * 0.33 *
BRS Itaim -0.35 -1.21 **
BRS Guariba -0.86 ** -0.48 **
Group 2 gj gj
IT98K-1092-1 -0.19 -0.59 **
MNC03-761F-1 -0.07 0.50 **
MNC02-675F-4-9 0.44 ** 0.38 **
MNC02-675F-4-10 -0.24 -0.22 *
MNC02-675F-9-2 0.06 -0.07

Table 4: Estimates of the effect of GCA between the parents of cowpea in group 1 (gi) and group 2 (gj) for severity of charcoal rot (SEV) and the area under the disease progress curve for web blight (AUDPC).

From the observation of the effects estimates of GCA (Table 4), it is observed that the majority of parents showed negative and significant effects for the parameter AUDPC, highlighting the genitors BR 14-Mulato (-0.79), IT98K-491-4 (-0.55), IT98K-506-1 (-1.24), BRS Tumucumaque (-0.45), BRS Itaim (-1.21), BRS Guariba (-0.48), IT98K-1092-1 (-0.59), and MNC02-675F-4-10 (-0.22) for presenting values of ĝi (GCA) negative and significant, being indicated as promising sources for use in breeding programs aiming at producing progenies resistant to T. cucumeris.

According to the estimates of SCA (Table 5), among the thirty two crossings of cowpea that stood out with regard to the resistance to M. phaseolina, seven of them had four parents with high absolute values and effects of GCA to the trait SEV (BR 14-Mulato, BRS Marataoã, BRS Tumucumaque, and BRS Guariba) in combination with parents who have also demonstrated good absolute and negative values of GCA (IT98K-1092-1, MNC03-761F-1 and MNC02-675F-4-10), although not significant by the t-test (Table 4).

The estimates of SCA for resistance of cowpea progenies to M. phaseolina and T. cucumeris (Table 5), the majority of the combinations with effects of SCA and with negative values for both traits stood out.

Group 1     SEV    
      Group 2    
  1(1) 2 3 4 5
A(1) 1.91 ** -2.04 ** -1.90 ** -2.83 ** -1.25 **
B -0.47 * -0.04 -0.10 0.29 0.16
C 0.88 ** 0.69 ** 0.85 ** 0.90 0.20 **
D 1.59 ** 1.80 -0.28 0.05 ** -1.34 **
E -1.80 ** -1.37 ** 0.65 ** -1.06 ** 1.87 **
F 1.39 ** -1.06 ** 0.24 1.34 ** -0.78 **
G -1.41 ** 0.22 -0.28 0.11 0.40 *
H 0.01 -2.41** -0.59 ** 0.40 * 0.64 **
I -0.37 * -0.28 -0.91 ** -1.91 ** 0.33
J -1.18 ** -0.66 ** 0.27 -1.34 ** -0.18
K -2.21 ** 2.46 ** 1.66 ** -0.52 ** -2.24 **
L -0.42 * -0.12 -0.02 1.03 ** 0.63 **
M -0.45 * -1.27 ** -1.52 ** -0.86 ** -1.41 **
N -0.97 ** 1.35 ** -1.63 ** -2.12 ** -1.16 **
AUDPC
A -0.30 * 0.34 ** 2.05 ** -4.47 ** 0.25 *
B 2.04 ** 0.58 ** 0.34 ** -0.90 ** -0.99 **
C -1.92 ** -2.30 ** -2.54 ** -1.57 ** 2.33 **
D -1.35 ** -0.26 * -1.27 ** -0.82 ** -0.58 **
E -4.58 ** -0.36 ** 0.46 ** 1.74 ** 0.91 **
F 0.85 ** 0.62 ** 0.18 -1.28 ** 1.08 **
G 1.85 ** 0.60 ** -0.81 ** 1.97 ** 0.16
H 2.08 ** 1.80 ** -0.98 ** 0.88 ** -0.79 **
I 0.81 ** -0.04 0.79 ** 1.00 ** 1.10 **
J 1.09 ** 0.12 0.76 ** 0.80 ** 0.11
K -1.14 ** 0.93 ** 0.91 ** 1.85 ** -2.27 **
L -0.15 -0.50 ** -0.79 ** -0.29 -1.19 **
M -0.68 ** -1.15 ** -1.45 ** -0.47 ** -1.23 **
N -1.16 ** -0.35 -1.56 ** -1.75 ** -1.66 **
SEV Standard Deviation (Sij) = 0.56
AUDPC Standard Deviation (Sij) = 0.46

Table 5: Estimates of the effects of SCA of F2 populations obtained from diallel crosses to severity of charcoal rot (SEV) and area under the disease progress curve for web blight (AUDPC) in cowpea.

Discussion

The value of the ratio between GCA and SCA was greater than one, indicating that the additive effects are more important in controlling the traits SEV and AUDPC (Table 3). As Cruz et al. (2012), the superiority expressed by the mean square (MS) of GCA with respect to SCA observed, allows us to infer that the additive variability present is comparatively larger than the contribution of non-additive gene action in the control of the trait under study for the evaluated genotypes.

To investigate the genetic control of resistance to Colletotrichum lindemuthianum (anthracnose), Nkalubo et al. (2009) in common bean noted the superiority of additive effects on the non-additives and the presence of high heritability, suggesting the application of backcrosses as a strategy for implementation of the resistance to the pathogen.

Studying the genetic inheritance of resistance of cowpea genotypes to the cowpea aphidborne mosaic virus (CABMV) by means of estimates of general and specific combining ability, Orawu et al. (2013) also noted the significance of these effects, highlighting the effects of GCA with respect to SCA, inferring the greater involvement of additive effects in determining the trait.

Analyzing the severity of angular leaf spot (Pseudocercospora griseola) in black beans by means of the diallel method, Moura (2013) also noted the significance of all sources of variation, highlighting the predominance of additive effects in the control of resistance to the pathogen. This allows us to infer that there is a difference in favorable allele concentration among the parents of the same group and genetic divergence between the groups of parents.

According to Carvalho (2010), the association of the existence of variability of the SCA with the high magnitude of quadratic component of the SCA evidences the presence of genetic divergence associated to high complementarity of the studied genotypes.

However, this study, the ratio between the quadratic components associated to effects of the general (ɸg) and specific (ɸs) combination of G2 in relation to the G1 to SEV (Table 3), presented in a low magnitude, being expected, once occurred prior selection for the trait in question. While, the AUDPC showed high magnitude of the quadratic component related to SCA (ɸs), as well as the low value of reason ɸgs (Table 3) confirming previous selection of cowpea genotypes evaluated, indicating the complementarity of parents studied for the trait into consideration, as the approached by Carvalho (2010).

The significance of the effects of the GCA and SCA (P ≤ 0.01) recorded infer about the acting of additive and non-additive effects in the control of the traits SEV and AUDPC (Table 4), suggesting the existence of differences in the concentration of favorable alleles, genetic diversity and the presence of complementation between the cowpea genotypes evaluated for resistance to pathogens. According to Krause et al. (2012), estimates of GCA provide information on the concentration of favorable alleles for the improvement of the trait in study, since the magnitude of the GCA is directly proportional to the frequency of alleles. In this way, they inferred that populations derived from crosses between parents who have high absolute values of GCA have a higher frequency of favorable alleles, increasing the likelihood of finding lines, which surpass the parents. Therefore, during the choice of populations, we should seek for crosses that have a high average and at least one of the parents have high absolute value of GCA (Cruz et al., 2012).

The crosses of cowpea that presented values of negative and significant SCA (Table 5), which contain at least one of the parents with values of negative and significant GCA (Table 4), should be considered as promising in the development of genotypes for resistance to M. phaseolina and T. cucumeris.

Thus, the employment of hybridization in breeding programs, allowing the recombination, is of extreme interest in generating greater genetic variability in plants, allowing the use of selective processes that effectively result in significant genetic gains, through the expression of the potential of segregating populations for selection (Bernardo, 2002).

Studies of reaction of cowpea genotypes for resistance to pathogens M. phaseolina performed by Athayde Sobrinho (2004), Noronha et al. (2009, 2010), Lima et al. (2012a,b) and for T. cucumeris developed by Nechet et al. (2006) and Nechet and Halfeld-Vieira (2007), emphasizes the necessity of recombination of resistant materials and potential promising sources for study and obtaining progenies with good level of resistance to these pathogens.

CONCLUSIONS

The additive effects predominate in the genetic control of the traits SEV and AUDPC for web blight, allowing gain with the selection of promising genotypes, and consequently, the achievement of strains resistant to both diseases.

The genitors BR 14-Mulato, BRS Tumucumaque and BRS Guariba have a higher concentration of favorable alleles for resistance to both pathogens M. phaseolina and T. cucumeris in cowpea.

The combinations BR 14-Mulato x MNC02-675F-4-10, BRS Tumucumaque x IT98K-1092-1, BRS Tumucumaque x MNC02-675F-4-10, BRS Tumucumaque x MNC02- 675F-9-2, BRS Guariba x IT98K-1092-1, BRS Guariba x MNC02-675F-4-9, and BRS Guariba x MNC02-675F-4-10 showed high potential to obtain resistant cultivars to M. phaseolina and T. cucumeris in cowpea, simultaneously.

Conflicts of interest

The authors declare no conflict of interest.

Acknowledgments

Research supported by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) and Fundação de Amparo à Pesquisa do Estado do Piauí (FAPEPI), and we thank Embrapa Meio-Norte and Embrapa Roraima for the accorded infrastructure, availability of the space and staff assistance for the experiments.

About the Authors

Corresponding Author

K.J. Damasceno-Silva

Embrapa Meio-Norte, Teresina, PI, Brasil

Email:
silva-damasceno.k.j.edc@rediffmail.com

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