Application of β-function in phytoindication to account for species response curves asymmetry
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Keywords

phytoindication
response curve
Gaussian distribution
β-distribution
ideal indicator

How to Cite

Zhukov, A. V., Kunakh, O. N., Dubinina, Y. Y., & Ganzha, D. S. (2018). Application of β-function in phytoindication to account for species response curves asymmetry. Acta Biologica Sibirica, 4(2), 32-46. https://doi.org/10.14258/abs.v4i2.4121

Abstract

An approach for phytoindication assessment of the ecological factors based on diapasonal scales taking into account the cardinal points values and possible asymmetry of the plant species response was proposed. Ecological factors are modeled by phytoindicator scales with restricted range. In the central part of the factor range the species response curve has a shape that can be reliably approximated by the Gauss normal distribution. This allows completely grounded via cardinal points that are directly designated by diapasonal indicator values, calculate ecological optimum of the species. Average of species in community ecological optima scores weighted in accordance with their projective cover gives phytoindication estimation of an ecological factor. Species distribution asymmetry increases when approaching the marginal positions within gradient. This phenomenon is observed in the study of real gradients. These phenomena are also a result of the mathematical properties of ecological scales. To simulate the response of species distribution curves alternatively symmetric Gaussian model the β-function was used. This function can simulate both symmetric and asymmetric distributions. Since phytoindication performs the inverse problem in comparison with the modeling of the response curves, it is appropriate to β-function is also be used to solve phytoindication problems. Use of β-function is possible to estimate the species optimum zone based on its fundamental points with the probable distribution asymmetry of the response curve. Also, the simulation of distribution curve makes it possible to narrow the range of possible values of environmental factors, in terms of which species can exhibit the observed abundance in the community. Accordingly, this increases the informational value of species in the community and thus achieves greater reliability evaluations of the phytoindication.
https://doi.org/10.14258/abs.v4i2.4121
PDF (Русский)

References

Ashby, E. (1936). Statistical ecology. The Botanical Review, 2 (5), 221–235. DOI https://doi.org/10.1007/BF02867930

Austin, M. P. (1976). Non-linear species response models in ordination. Vegetatio, 33 (1), 33–41. DOI https://doi.org/10.1007/BF00055297

Austin, M. P. (2013). Vegetation and Environment: Discontinuities and Continuities. Vegetation Ecology, Second Edition. Eddy van der Maarel and Janet Franklin. John Wiley & Sons, Ltd. Published 2013 by John Wiley & Sons, Ltd.

Austin, M. P., Nicholls, A. O., Margules, C. R. (1990). Measurement of the realized qualitative niche: environmental niches of five Eucalyptus species. Ecological Monographs, 60 (2), 161–177. DOI: 10.2307/1943043

Belgard, A. L. (1971). Stepnoe lesovedenie (Steppe Forestry). Lesnaja promyshlennost. Moscow (in Russian).

Buzuk, G. N. (2017). Phytoindication with ecological scales and regression analysis: environmental index. Bulletin of Pharmacy, 2(76), 31–37.

Diduh, Y. P. (2012). The principles of the bioindication. Naukova dumka – Kyiv.

Diduh, Y. P., Emshanov, D.G., Schkolnikov, Y.A. (1997). The useage of the phytoindication estimations in the study of the forest ecosystem structure. Russian Journal of Ecology, 5, 353–360.

Didukh, Y. P., Karkutsiyev, G. M. (1994). Evaluation of the ecotopes humidity. Ukrainian Botanical Journal, 5, 64-75.

Didukh, Ya. P. (2011). The ecological scales for the species of Ukrainian flora and their use in synphytoindication. Phytosociocentre. Kyiv.

Diekmann, M. (2003). Species indicator values as an important tool in applied plant ecology – a review. Basic and Applied Ecology 4(6), 493–506. https://doi.org/10.1078/1439-1791-00185

Ellenberg, H. (1974). Zeigerwerte der Gefässpflanzen Mitteleuropas. Scripta geobotanica. Göttingen, 9, 197.

Ellenberg, H., Weber, H.E., Dull, R., Wirth, V., Werner, W., Paulissen, D. (1992). Zeigerwerte von Pflanzen in Mitteleuropa. Scripta Geobotanica

Emshanov, D. G. (1999). The methods of spatial ecology in the study of forest ecosystems. Ed. D. M. Grodzinsky. Mercury Globe's Ukraine. Kiev.

Ewald, J. (2003). The sensitivity of Ellenberg indicator values to the completeness of vegetation relevés. Basic and Applied Ecology, 4(6), 507–513. https://doi.org/10.1078/1439-1791-00155

Huisman, J., Olff, H., Fresco, L.F.M. (1993). A hierarchical set of models for species response analysis. Journal of Vegetation Science ,4, 37–46. https://doi.org/10.2307/3235732

Landolt, E. (1977). Okologische Zeigerwerts zur Schweizer Flora. Veroff. Geobot. Inst. ETH. Zurich, 64, 1–208.

Lawesson, J.E., Oksanen, J. (2002). Niche characteristics of Danish woody species as derived from coenoclines. Journal of Vegetation Science, 13, 279–290. https://doi.org/10.1111/j.1654-1103.2002.tb02048.x

Manyuk, V. (2001). By spreading and typology of the middle flooded oak forest within Dnipro-Orilsky reserve and adjacent areas of the river Dnipro valley. Bulletin of Dnipropetrovsk University. Biology. Ecology, 1(9), 147–152.

Manyuk, V.V. (1998). Ecological and floristic features of the Dnipro-Orelsky natural reserve oak forests. Questions of the steppe forest and forest land reclamation, 139–146.

Minchin, P. R. (1989). Montane vegetation of the Mt. Field Massif, Tasmania: a test of some hypotheses about properties of

community patterns. Vegetatio, 83, 97–110. DOI https://doi.org/10.1007/BF00031683

Otýpková, Z. (2009). The influence of sample plot size on evaluations with Ellenberg indicator values. Biologia, 64(6), 1123–1128. DOI https://doi.org/10.2478/s11756-009-0184-6

Ramenskiy, L. G., Tsatsenkin, I. A., Chizhikov, O. N., Antipin, N. A. (1956). Jekologicheskaja ocenka kormovyh ugodij po rastitel'nomu pokrovu (Ecological evaluation of the fodder lands by vegetation cover). Sel'khozgiz – Moscow (in Russian).

Rysin, L.P., Comissarov, E.S., Maslov, A.A. (1988). Metodicheskie predlozhenija po sozdaniju sistemy postojannyh probnyh ploshhadej na osobo ohranjaemyh lesnyh territorijah (Methodological proposal to create a system of permanent sample plots in protected forest areas). Mscow. Progress (in Russian).

Rosenzweig, M. L. (1995). Species Diversity in Space and Time. Cambridge, UK: Cambridge University Press.

Seidling, W., Fischer, R. (2008). Deviances from expected Ellenberg indicator values for nitrogen are related to N throughfall deposition in forests. Ecological Indicators, 8(5), 639–646.

Smart, S.M., Scott, W.A. (2004). Bias in Ellenberg indicator values – problems with detection of the effect of vegetation type. Journal of Vegetation Science, 15, 843–846. https://doi.org/10.1111/j.1654-1103.2004.tb02327.x

Smirnova, O.V., Chistyakov, A.A., Popadyuk, R.V., Evstigneev, O.I., Korotkov, V.N., Mitrofanov, M.V., Ponomarenko, E.V. (1992).

Populjacionnaja organizacija rastitel'nogo pokrova lesnyh territorij (na primere shirokolistvennyh lesov Evropejskoj chasti SSSR (Population organization vegetation forest areas (for example, broad-leaved forests of the European part of the USSR). Pushchino, ONTI Scientific Center of Biological Research USSR. (in Russian).

Szymura, T. H., Szymura, M., & Macioł, A. (2014). Bioindication with Ellenberg's indicator values: A comparison with measured parameters in Central European oak forests. Ecological Indicators, 46, 495–503. DOI: 10.1016/j.ecolind.2014.07.013

Ter Braak, C. J. F. (1986). Canonical correspondence analysis: A new eigenvector technique for multivariate direct gradient analysis. Ecology, 67, 1167–1179. https://doi.org/10.2307/1938672

Ter Braak, C. J. F., Gremmen, N. J. M. (1987). Ecological amplitudes of plant species and the internal consistency of Ellenberg's indicator values for moisture. Vegetatio, 69, 79–87. https://doi.org/10.1007/BF00038689

Ter Braak, C.J.F., Looman, C.W.N. (1986). Weighted averaging, logistic regression and the Gaussian response model. Vegetatio, 65, 3–11. DOI https://doi.org/10.1007/BF00032121

Tsyganov, D.N. (1983). Fitoindikacija jekologicheskih faktorov v podzone hvojno–shirokolistvennyh lesov (Phytoindication of ecological factors in the subzone of mixed coniferous–broad–leafed forests). Moscow. Nauka.

Wamelink, G.W.W., Joosten, V., van Dobben, H.F., Berendse, F. (2002). Validity of Ellenberg indicator values judged from physico-chemical field measurements. Journal of Vegetation Science, 13, 269–278. https://doi.org/10.1111/j.1654-1103.2002.tb02047.x

Zelený, D., Schaffers, A. P. (2012). Too good to be true: pitfalls of using mean Ellenberg indicator values in vegetation analyses. Journal of Vegetation Science, 23(3), 419–431. https://doi.org/10.1111/j.1654-1103.2011.01366.x

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