Unravelling the effects of soil properties on water infiltration: segmented quantile regression on a large data set from arid south-west Africa
A. J. Mills A B D , M. V. Fey A , A. Gröngröft C , A. Petersen C and T. V. Medinski AA Department of Soil Science, Faculty of AgriSciences, University of Stellenbosch, Private Bag X01, Matieland 7602, South Africa.
B South African National Biodiversity Institute, Private Bag X7, Claremont 7735, South Africa.
C Institute of Soil Science, University of Hamburg, Allende-Platz 2, 20146 Hamburg, Germany.
D Corresponding author. Email: mills@sanbi.org
Australian Journal of Soil Research 44(8) 783-797 https://doi.org/10.1071/SR05180
Submitted: 11 November 2005 Accepted: 30 October 2006 Published: 29 November 2006
Abstract
Relationships were sought between infiltrability and the properties of hundreds of surface soils (pedoderms) sampled across Namibia and western South Africa. Infiltrability was determined using a laboratory method, calibrated against a rainfall simulator, which measures the passage of a suspension of soil in distilled water through a small column packed with the same soil. Other properties determined were EC, pH, water-soluble cations and anions, ammonium acetate-extractable cations, organic C, total N, a 7-fraction particle size distribution, water-dispersible silt and clay, and clay mineral composition. Our objective was to ascertain whether general principles pertaining to infiltrability can be deduced from an analysis of a wide diversity of soils. To achieve this we compared correlation analysis, generalised linear models (GLMs), and generalised additive models (GAMs) with a segmented quantile regression approach, in which parametric regression lines were fitted to the 0.9 and 0.1 quantile values of equal subpopulations based on the x variable. Quantile regression demarcated relational envelopes enclosing four-fifths of the data points. The envelopes revealed ranges for soil properties over which infiltrability is potentially maximal (spread over a wide range) or predictably minimal (confined to small values). The r2 value of the 0.9 quantile regression line was taken as an index of reliability in being able to predict limiting effects on infiltrability associated with a variety of soil properties. Prediction of infiltration was most certain from textural properties, especially the content of water-dispersible silt (r2 = 0.96, n = 581), water-dispersible clay (0.88, n = 581), very fine sand (0.86, n = 174), and medium sand (0.84, n = 174). Chemical properties such as EC, sodium status, organic C content, and clay mineralogy were less clearly related to infiltrability than was texture. The role of fine-particle dispersion in blocking pores was highlighted by the stronger prediction in all statistical analyses provided by the water-dispersible as opposed to total content of silt and clay. All the statistical analyses revealed a probable skeletal role of medium and fine sand fractions in shaping pores and a plasmic (mobile) role of finer fractions in blocking pores. A noteworthy discovery was an apparent switch in role from skeletal to plasmic at a particle diameter of about 0.1 mm (i.e. between fine and very fine sand).
Additional keywords: soil water, crusting, biocrust, boundary line, soil texture, soil mineralogy, aridisols.
Acknowledgments
The authors extend their grateful thanks to landowners of the BIOTA South observatories for allowing access to field sites, M. Gordon for analytical work, T. de Wet and D. Nel for statistical advice, and two anonymous referees for their insightful comments on an earlier draft of the manuscript. Financial support for this research was received from the NRF (Grant number FA2005040700027) and BIOTA Southern Africa (sponsored by the German Federal Ministry of Education and Research under promotion number 01 LC 0024A). The authors pay an overdue tribute to the late Dr Haim Frenkel, with whom many stimulating and influential conversations on the subject of soil crusting were held some 15 years ago.
Agassi M,
Shainberg I, Morin J
(1981) Effect of electrolyte concentration and soil sodicity on infiltration rate and crust formation. Soil Science Society of America Journal 45, 848–851.
Bailey SW
(1980) Summary of recommendation of AIPEA nomenclature committee. Clays and Clay Minerals 28, 73–78.
| Crossref | GoogleScholarGoogle Scholar |
Beirlant J,
de Wet T, Goegebeur Y
(2004) Nonparametric estimation of extreme conditional quantiles. Journal of Statistical Computation and Simulation 74, 567–580.
| Crossref | GoogleScholarGoogle Scholar |
Bio AMF,
Alkemade R, Barendregt A
(1998) Determining alternative models for vegetation response analysis: a non-parametric approach. Journal of Vegetation Science 9, 5–16.
| Crossref | GoogleScholarGoogle Scholar |
Blackburn TM,
Lawton JH, Perry JN
(1992) A method of estimating the slope of upper bounds of plots of body size and abundance in natural animal assemblages. Oikos 65, 107–112.
| Crossref |
Bühmann C,
Rapp I, Laker MC
(1996) Differences in mineral ratios between disaggregated and original clay fractions in some South African soils as affected by amendments. Australian Journal of Soil Research 34, 909–923.
| Crossref | GoogleScholarGoogle Scholar |
Cade BS, Noon BR
(2003) A gentle introduction to quantile regression for ecologists. Frontiers in Ecology and the Environment 1, 412–420.
Chorom M,
Rengasamy P, Murray RS
(1994) Clay dispersion as influenced by pH and net particle charge of sodic soils. Australian Journal of Soil Research 32, 1243–1252.
| Crossref | GoogleScholarGoogle Scholar |
Duley FL
(1939) Surface factors affecting the rate of intake of water by soils. Soil Science Society of America Proceedings 4, 60–65.
Fey MV,
Mills AJ, Yaalon DH
(2006) The alternative meaning of pedoderm and its use for soil surface characterisation. Geoderma 133, 474–477.
| Crossref | GoogleScholarGoogle Scholar |
Fox DM,
Bryan RB, Fox CA
(2004) Changes in pore characteristics with depth for structural crusts. Geoderma 120, 109–120.
| Crossref | GoogleScholarGoogle Scholar |
Frenkel H,
Levy GJ, Fey MV
(1992) Clay dispersion and hydraulic conductivity of clay-sand mixtures as affected by the addition of various anions. Clays and Clay Minerals 40, 515–521.
| Crossref | GoogleScholarGoogle Scholar |
Guo Q,
Brown JH, Enquist BJ
(1998) Using constraint lines to characterize plant performance. Oikos 83, 237–245.
| Crossref |
Haynes RJ, Swift RS
(1990) Stability of soil aggregates in relation to organic constituents and soil water content. Journal of Soil Science 41, 73–83.
| Crossref | GoogleScholarGoogle Scholar |
Koenker R, Hallock KF
(2001) Quantile regression. Journal of Economic Perspectives 15, 143–156.
Leathwick JR
(1995) Climatic relationships of some New Zealand forest tree species. Journal of Vegetation Science 6, 237–248.
| Crossref | GoogleScholarGoogle Scholar |
Leathwick JR, Austin MP
(2001) Competitive interactions between tree species in New Zealand’s old-growth indigenous forests. Ecology 82, 2560–2573.
| Crossref | GoogleScholarGoogle Scholar |
Lowdermilk WC
(1930) Influence of forest litter on runoff, percolation, and erosion. Journal of Forestry 28, 474–491.
McIntyre DS
(1958) Permeability measurements of soil crusts formed by raindrop impact. Soil Science 85, 185–189.
Mills AJ, Fey MV
(2004a) Frequent fires intensify soil crusting: physico-chemical feedback in the pedoderm of long-term burn experiments in South Africa. Geoderma 121, 45–64.
| Crossref | GoogleScholarGoogle Scholar |
Mills AJ, Fey MV
(2004b) A simple laboratory method for measuring the tendency of soils to crust. Soil Use and Management 20, 8–12.
| Crossref | GoogleScholarGoogle Scholar |
Mills AJ, Fey MV
(2004c) Effects of vegetation cover on the tendency of soil to crust in South Africa. Soil Use and Management 20, 308–317.
| Crossref | GoogleScholarGoogle Scholar |
Moss AJ
(1991) Rain-impact soil crust. I. Formation on a granite-derived soil. Australian Journal of Soil Research 29, 271–289.
| Crossref | GoogleScholarGoogle Scholar |
Nelder JA, Wedderburn RWM
(1972) Generalized linear models. Journal of the Royal Statistical Society, Series A 135, 370–384.
| Crossref | GoogleScholarGoogle Scholar |
Novich BE, Martin RT
(1983) Solvation methods for expandable layers. Clays and Clay Minerals 31, 235–238.
| Crossref | GoogleScholarGoogle Scholar |
Percival HJ,
Parfitt RL, Scott NA
(2000) Factors controlling soil carbon levels in New Zealand grasslands: is clay content important? Soil Science Society of America Journal 64, 1623–1630.
Sankaran M
(2005) Determinants of woody cover in African savannas. Nature 438, 846–849.
| Crossref | GoogleScholarGoogle Scholar | PubMed |
Schmiedel U, Jürgens N
(2005) Biodiversity observatories. A new standardised monitoring tool for biodiversity studies. Basic and Applied Dryland Research 1, 87–91.
Shainberg I, Singer MJ
(1985) Effect of electrolytic concentration on the hydraulic properties of depositional crust. Soil Science Society of America Journal 49, 1260–1263.
Stone CJ
(1985) Additive regression and other nonparametric models. Annals of Statistics 13, 689–705.
Thomson JD,
Weiblen G,
Thomson BA,
Alfaro S, Legendre P
(1996) Untangling multiple factors in spatial distributions: lilies, gophers and rocks. Ecology 77, 1698–1715.
| Crossref | GoogleScholarGoogle Scholar |
Valentin C, Bresson LM
(1992) Morphology, genesis and classification of surface crusts in loamy and sandy soils. Geoderma 55, 225–245.
| Crossref | GoogleScholarGoogle Scholar |
Valentin C,
d’Herbes JM, Poesen J
(1999) Soil and water components of banded vegetation patterns. CATENA 37, 1–24.
| Crossref | GoogleScholarGoogle Scholar |
Walworth JL, Sumner ME
(1987) The diagnosis and recommendation integrated system (DRIS). Advances in Soil Science 6, 150–188.
Yee TW, Mitchell ND
(1991) Generalized additive models in plant ecology. Journal of Vegetation Science 2, 587–602.
| Crossref | GoogleScholarGoogle Scholar |