Spatial Pattern Detection Modeling of Aphid (Aphis gossypii Glover) of Brinjal (Solanum melongena L.) in Chhattisgarh

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2015 by IJMTT Journal
Volume-26 Number-2
Year of Publication : 2015
Authors : Shabnam Reetu Tirkey, Ravi R. Saxena
  10.14445/22315373/IJMTT-V26P511

MLA

Shabnam Reetu Tirkey, Ravi R. Saxena "Spatial Pattern Detection Modeling of Aphid (Aphis gossypii Glover) of Brinjal (Solanum melongena L.) in Chhattisgarh", International Journal of Mathematics Trends and Technology (IJMTT). V26(2):49-51 October 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
A field study was made during 2014 at Chhattisgarh region to study the spatial distribution of aphids (Aphis gossypii Glover) in brinjal (Solanum melongena Linn.). The various indices of dispersion, viz., variance mean ratio, exponent k, patchiness index, Lloyd’s mean crowding, David and Moore’s index, Cole’s index, Taylor’s power law and Morisita’s index revealed that the brinjal of aphid exhibited aggregated or contagious pattern of distribution in the field. In study of Taylor’s power law, slope parameter (b=1.166) was > 1 indicating contagious (aggregated) or regular nature of distribution. The aphid population infestation followed negative binomial distribution pattern as an alternative of poisson or random distribution. Spatial distribution parameters are useful in the field as well as to estimate the population density of aphid.

References
[1] Anonymmous. Indian Horticulture Database, National Horticulture Board, Gurgaon, p. 131, 2014.
[2] Anonymmous. Krishi Darshika, Indira Gandhi Krishi Vishwavidyalaya, Raipur, p. 6, 2015.
[3] E.J. Bechinski and L.P. Pedigo, “Population dispersion and development of sampling plans of Orius insidiosus and Nabis spp. in Soyabeans”. Environmental Entomology, 10: 835-841, 1981.
[4] F.N. David and P.G. Moore, “Notes on contagious distribution in plant populations” Annals of Botany, 18: 47-53, 1954.
[5] J.R. Faleiro, J. Ashok and B.L. Manjunath, “Studies on the spatial distribution of two major Lepidopteran insect pests of rice in Goa”, Indian J. of Plant Protection, 34(1): 1-4, 2006.
[6] L.C. Cole, “A theory for analysis contagiously distributed populations”, Ecology, 27:329-341, 1946.
[7] L.R. Taylor, “Aggregation, Variance to the Mean”, Nature, 189: 732-735, 1961.
[8] L.R. Taylor, “Assessing and interpreting the spatial distribution of insect population”, Annual review of Entomology, 29: 321-358, 1984.
[9] M. Ahmadi, Y. Fathipur, and K. Kamali, “Population Density and Spatial Distribution of Tetranychus urticae Koch (Acari: Tetranychidae) on Different Bean Varieties in Tehran Region”, Iranian J. Agri. Sci., 36: 1087-1092, 2005.
[10] M. Morisita, “I -index a Measure of Dispersion of Individual”, Res. Popul. Ecol., 4: 1-7,1962.
[11] M.A. Gopaalan, S. Vidhyalakshmi and S.Mallika, “On the exponential Diophantine equation”, International Journal of Mathematics Trends and Technology”, 11(4): 247- 253,2013.
[12] S. Iwas and E. Kuno, “Use of the Regression of Mean Crowding on Mean Density for Estimating Sample Size and the Transformation of Data for the Analysis of Variance”, Res. Popul. Ecol.,10:210, 1968.
[13] T.R.E. Southwood, “Ecological Methods with Particular Reference to the Study of Insect Population, 2nd ed”,Chapman and Hall, London, 524 PP,1978.
[14] I. Elbatal and M. Elgarhy, “Statistical Properties of Kumaraswamy Quasi Lindley Distribution”, International Journal of Mathematics Trends and Technology, 10(4): 237-246, 2013.
[15] V. Sevacherian and V.M. Stem, “Spatial distribution patterns of Lygus bugs in California cotton fields” Environmental Entomology, 1:695-704,1972.
[16] W.E. Waters and W.R. Henson, “Some sampling attributes of the negative binomial distribution with spatial reference to forest insects”, For. Sci., 5: 397-412, 1959.

Keywords
Brinjal, aphid, spatial distribution.