A population growth model of Tetranychus urticae Koch (Acari: Tetranychidae)

Azadeh Farazmand, Masood Amir-Maafi


Two-spotted spider mite, Tetranychus urticae Koch is a serious pest of different crops over the world. Different strategies are used to regulate the population of this mite. To this end, as a first step, a population growth model has been developed for describing the dynamics of T. urticae population growth. In this regard, the population abundance of T. urticae was estimated weekly from 29 June to 29 September 2016 at two bean fields, each field was planted with Goli and Akhtar cultivars, separately. During each sampling period in each field, 30 plants were randomly chosen and a leaf was selected as a sample unit from the middle of a plant, then a simple population growth model was constructed for T. urticae on two bean cultivars. The result showed that T. urticae had a distinct seasonal pattern of abundance but differed between two cultivars. A logistic growth model was developed based on relationship between the cumulative density of T. urticae and time (day) and demonstrated high prediction capability for T. urticae population on Goli (R2 = 0.99) and Akhtar (R2 = 0.99) cultivars. According to the logistic equation, carrying capacity was recorded 463.9 ± 9.73 (mite/leaf) and 59.67 ± 8.72 (mite/leaf) on Goli and Akhtar cultivars, respectively. Furthermore, it has been shown that the logistic growth model can be used to make population predictions. The model parameters estimated for two different cultivars, providing a new mathematical tool for ecologists to predict two-spotted spider mite outbreaks, and ultimately to develop effective two-spotted spider mite control strategies.


Bean cultivars; carrying capacity; logistic equation; population dynamics; two-spotted spider mite.

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Adango, E., Onzo, A., Hanna, R., Atachi, P. & James, B. (2006) Comparative demography of the spider mite, Tetranychus ludeni, on two host plants in West Africa. Journal of Insect Science, 6(49): 1–9

Agrawal, A.A., Underwood, N., & Stinchcombe, J. (2004) Intraspecific variation in the strength of density dependence in aphid populations. Ecological Entomology, 29: 521–526.

Ahmadi, M., Fathipour, Y. & Kamali, K. (2007) Population growth parameters of Tetranychus urticae (Acari: Tetranychidae) on different bean varieties. Journal of Entomological Society of Iran, 26(2): 1–10.

Andrewartha, H.G. (1961) Introduction to the study of animal populations. University of Chicago Press, Chicago, IL, 281 pp.

Badii, M.H., Hernandez-Ortiz, E., Flores, A.E. & Landeros, J.N. (2004) Prey stage preference and functional response of Euseius hibisci to Tetranychus urticae (Acari: Phytoseiidae, Tetranych-idae). Experimental & Applied Acarology, 34: 263–273.

Bolland, H. R., Gutierrez, J. & Flechtmann, C.H.W. (1998) World catalogue of the spider mite family (Acari: Tetranychiade). Brill Academic Publishers. Leiden, 392 pp.

Cazaux, M., Navarro, M., Bruinsma, K.A., Zhurov, V., Negrave, T., Van Leeuwen, T., Grbic, V. & Grbic, M. (2014) Application of two-spotted spider mite Tetranychus urticae for plant-pest interaction studies. Journal of Visualized Experiment, 89:e51738.

Dhar, T., Dey, P.K. & Sarkar, P.K. (2000) Influence of abiotic factors on population build-up of red spider mite, Tetranychus urticae on okra vis a vis evaluation of some new pesticides for their control. Pestology, 24(9): 34–37.

Düzgüneş, Z. & Çobanoğlu, S. (1983) The life history and tables Tetranychus urticae Koch and Tetranychus cinnabarinus (Boisduval) (Acarina: Tetranychidae) under the various temperatures and humidities. Plant Protection Bulletin, 23(4):171–187.

English-Loeb, G.M. (1990) Plant drought stress and outbreaks of spider mites: A field test. Ecology, 71: 1401–1411.

Helms, S.E., Connelly, S. J. & Hunter, M.D. (2004) Effects of variation among plant species on the interaction between a herbivore and its parasitoid. Ecological Entomology, 29: 44–51.

Ho, C. & Chen, W.A. (1992) Species survey of spider mites and seasonal occurrence of Thrips palmi, Chlorita biguttula and Tetranychus cinnabarinus on eggplant. Chinese Journal of Entomology, 14(4): 259–268.

Kabiri, H., Saboori, A. & Allahyari, H. (2012) Impact of different cotton (Gossypium spp.) cultivars, as host plant, on development and fertility life-table parameters of Tetranychus urticae (Acari: Tetranychidae). International Journal of Acarology, 38(1): 46–50.

Karami-Jamour, T. & Shishehbor, P. (2012) Development and life table parameters of Tetranychus turkestani (Acarina: Tetranychidae) at different constant temperatures. Acarologia, 52(2): 113–122.

Kavousi, A., Chi, H., Talebi, K., Bandani, A., Ashouri, A. & Naveh, V.H. (2009) Demographic traits of Tetranychus urticae (Acari: Tetranychidae) on leaf discs and whole leaves. Journal of Economic Entomology, 102: 595–601.

Khanamani, M., Fathipour, Y. & Hajiqanbar, H. (2013) Population growth response of Tetranychus urticae to eggplant quality: application of female age-specific and age-stage, two-sex life tables. International Journal of Acarology, 39: 638–648.

Kindlmann, P. & Dixon, A.F. (2010) Modelling population dynamics of aphids and their natural enemies. In: Kindlmann P., Dixon A. & Michaud, J. (Eds.) Aphid Biodiversity under Enviromental Change. Springer, New York, NY, USA, pp. 1–20.

Krips, O.E., Witul, A., Willems, P.E.L. & Dicke, M. (1998) Intrinsic rate of population increase of the spider mite Tetranychus urticae on the ornamental crop gerbera: intraspecific variation in host plant and herbivore. Entomologia Experimentalis et Applicata, 89: 159–168.

Kumral, N. A. & Kovanci, B. (2005) Seasonal population dynamics of the two-spotted spider mite, Tetranychus urticae Koch (Acari: Tetranychidae) under acaricide constraint on eggplant in Bursa province (Turkey). Acarologia, 45(4): 295–301.

Lashomb, J. H., Ng, Y. S., Ghidiu, G. & Green, E. (1984) Description of spring emergence by the Colorado potato beetle, Leptinotarsa decemlineata (Say) (Coleoptera: Chrysomelidae), in New Jersey. Environmental Entomology, 13: 907–910.

Maleknia, B., Fathipour, Y. & Soufbaf, M. (2016) How greenhouse cucumber cultivars affect population growth and two-sex life table parameters of Tetranychus urticae (Acari: Tetranychidae). International Journal of Acarology, 42: 70–78.

Marchetti, C., Meyer, P.S. & Ausubel, J.H. (1996) Human population dynamics revisited with the Logistic Model: How much can be modeled and predicted? Technological Forecasting and Social Change, 52: 1–30.

Matis, J. H. & Al-Muhammed, M. J. (2010) Theory and application of the logistic probability density function as a population growth model. Damascus University Journal for Basics Science, 26(1): 9–19.

Matis, J.H. & Kiffe, T.R. (2004) On stochastic logistic population growth models with immigration and multiple births. Theoretical Population Biology, 65(1), 89–104.

Matis, J.H. & Kiffe, T.R. (2012) Stochastic population models: A compartmental perspective. Lecture Notes in Statistics, Vol. 145. Springer-Verlag, New York, 202 pp.

Matis, J.H., Kiffe, T.R., Matis, T.I. & Stevenson, D.E. (2006) Application of population growth models based on cumulative size to pecan aphids. Journal of Agricultural, Biological and Environmental Statistics, 11(4): 425–449.

Matis, J.., Kiffe, T.R., Renshaw, E. & Hassan, J. (2003) A simple saddlepoint approximation for the equilibrium distribution of the stochastic logistic model of population growth. Ecological Modelling, 161(3): 239–248.

Matis, J.H., Kiffe, T.R., van der Werf, W., Costamagna, A.C., Matis, T.I. & Grant, W.E. (2009) Population dynamics models based on cumulative density dependent feedback: A link to the logistic growth curve and a test for symmetry using aphid data. Ecological Modelling, 220(15): 1745–1751.

Meyer, P.S., Yung, J.W. & Ausubel, J.H. (1999) A primer on logistic growth and substitution: the mathematics of the Loglet Lab software. Technological Forecasting and Social Change, 61(3): 247–271.

Migeon A., Nouguier E. & Dorkeld F. (2011) Spider mites web: a comprehensive database for the Tetranychidae. Trends in Acarology, pp. 557–560.

Modarres Najafabadi, S.S., Vafaei Shoushtari, R., Zamani, A.A., Arbabi, M. & Farazmand, H. (2012) Life parameters of Tetranychus urticae (Acari: Tetranychidae) on six common bean cultivars. Journal of Economic Entomology, 107: 614–622.

Renshaw, E. (1991) Modelling biological populations in space and time. Cambridge University Press, New York, USA, 403 pp.

Riahi, E., Shishehbor, P., Nemati, A.R. & Saeidi, Z. (2013) Temperature effects on development and life table parameters of Tetranychus urticae (Acari: Tetranychidae). Journal of Agricultural Science &Technology, 15: 661–672.

Saei Dehghan, M., Allahyari, H., Saboori, A., Nowzari, J. & Hosseini Naveh, V. (2009) Fitness of Tetranychus urticae (Acari: Tetranychidae) on different soybean cultivars: biology and fertility life tables. International Journal of Acarology, 35(4): 341–347.

SAS Institute (2013) SAS/STAT User’s Manual. Version 9.4. SAS Institute Inc., Cary, North Carolina.

Sedaratian, A., Fathipour, Y. & Moharramipour, S. (2011) Comparative life table analysis of Tetranychus urticae (Acari: Tetranychidae) on 14 soybean genotypes. Insect Science, 18: 541–553.

Tauber, M.J., Tauber, C.A. & Nyrop, J.P. (1994) Soil moisture and postdormancy emergence of Colorado potato beetles (Coleoptera: Chrysomelidae): descriptive model and field emergence patterns. Environmental Entomology, 23: 1485–1496.

Turchin, P. (2003) Complex population Dynamics: A Theoretical/Empirical Synthesis. Princeton University Press, New Jersey, USA, 472 pp.

Uddin, M.N., Alam, M.Z., Mian, M.R.U. & Mustarin, K.E. (2015) Life table parameters of Tetranychus urticae Koch (Acari: Tetranychidae) on different bean varieties. African Entomology, 23(2): 418–426.

Underwood, N. (2007) Variation in and correlation between intrinsic rate of increase and carrying capacity. The American Naturalist, 169(1): 136–41.

Underwood, N., Morris, W., Gross, K. & Lockwood, J.R.I. (2000) Induced resistance to Mexican bean beetles in soybeans: variation among genotypes and lack of correlation with constitutive resistance. Oecologia, 122: 83–89.

Van Leeuwen, T., Tirry, L., Yamamoto, A., Nauen, R. & Dermauw, W. (2015) The economic importance of acaricides in the control of phytophagous mites and an update on recent acaricide mode of action research. Pesticide Biochemistry & Physiology, 121: 12–21.

Whitfield, G.H. (1984) Temperature threshold and degree-day accumulation required for develop-ment of postdiapause sugarbeet root maggots (Diptera: Otitidae). Environmental Entomology, 13: 1431–1435.

Wilson, L.J. (1994) Plant-quality effect on life-history parameters of the two-spotted spider mite (Acari: Tetranychidae) on Cotton. Journal of Economic Entomology, 87: 1665–1673.


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