Modeling emergent patterns of dynamic desert ecosystems

In many desert ecosystems, vegetation is both patchy and dynamic: vegetated areas are interspersed with patches of bare ground, and both the positioning and the species composition of the vegetated areas exhibit change through time. These characteristics lead to the emergence of multi-scale patterns in vegetation that arise from complex relationships between plants, soils, and transport processes. Previous attempts to probe the causes of spatial complexity and predict responses of desert ecosystems tend to be limited in their focus: models of dynamics have been developed with no consideration of the inherent patchiness in the vegetation, or else models have been developed to generate patterns with no consideration of the dynamics. Here we develop a general modelling framework for the analysis of ecosystem change in deserts that is rooted in the concept of connectivity and is derived from a detailed process-based understanding. We explicitly consider spatial interactions among multiple vegetation types and...

[1]  Sylvie Galle,et al.  Relationships between soil moisture and growth of herbaceous plants in a natural vegetation mosaic in Niger , 1997 .

[2]  Plant-soil Interactions in Deserts , 1998 .

[3]  J. van de Koppel,et al.  Alternate stable states and threshold effects in semi-arid grazing systems. , 1997 .

[4]  P. I. A. Kinnell,et al.  Role of plant cover and stock trampling on runoff and soil-erosion from semi-arid wooded rangelands , 1994 .

[5]  Robert B. Jackson,et al.  PLANT COMPETITION UNDERGROUND , 1997 .

[6]  Carlton H. Herbel,et al.  Vegetational Changes on a Semidesert Grassland Range from 1858 to 1963 , 1965 .

[7]  R. Canfield.  Perennial Grass Composition as an Indicator of Condition of Southwestern Mixed Grass Ranges , 1948 .

[8]  William H. Schlesinger,et al.  ON THE SPATIAL PATTERN OF SOIL NUTRIENTS IN DESERT ECOSYSTEMS , 1995 .

[9]  J. Gosz,et al.  Species interactions on the biome transition zone in New Mexico: response of blue grama (Bouteloua gracilis) and black grama (Bouteloua eripoda) to fire and herbivory , 1996 .

[10]  Anthony J. Parsons,et al.  Relation between infiltration and stone cover on a semiarid hillslope, southern Arizona , 1991 .

[11]  I. Noy-Meir,et al.  Desert Ecosystems: Environment and Producers , 1973 .

[12]  A. Castellanos,et al.  Differential survivorship and establishment in Simmondsia chinensis (jojoba). , 1990 .

[13]  B. Bestelmeyer,et al.  The soil-geomorphic template and biotic change in arid and semi-arid ecosystems , 2006 .

[14]  N. West,et al.  Plant-Induced Soil Chemical Patterns in Some Shrub-Dominated Semi-Desert Ecosystems of Utah , 1975 .

[15]  D. Peters,et al.  Multi-scale factors and long-term responses of Chihuahuan Desert grasses to drought , 2006, Landscape Ecology.

[16]  John A. Ludwig,et al.  Runoff and erosion from Australia's tropical semi‐arid rangelands: influence of ground cover for differing space and time scales , 2006 .

[17]  P. Greig-Smith.  Pattern in Vegetation , 1979 .

[18]  L. Fahrig,et al.  Connectivity is a vital element of landscape structure , 1993 .

[19]  L. Kumar,et al.  Self‐Organization of Vegetation in Arid Ecosystems , 2002, The American Naturalist.

[20]  Luca Ridolfi,et al.  Patterns as indicators of productivity enhancement by facilitation and competition in dryland vegetation , 2006 .

[21]  J. R. Simanton,et al.  Microtopography and soil-surface materials on semi-arid piedmont hillslopes, southern Arizona , 1992 .

[22]  D. M. Powell,et al.  A transport‐distance approach to scaling erosion rates: 3. Evaluating scaling characteristics of Mahleran , 2008 .

[23]  R. Bras,et al.  On the dynamics of soil moisture, vegetation, and erosion: Implications of climate variability and change , 2006 .

[24]  John Wainwright,et al.  A conceptual model for determining soil erosion by water , 2004 .

[25]  E. W. Nelson.  The Influence of Precipitation and Grazing Upon Black Grama Grass Range , 1934 .

[26]  R. Gibbens,et al.  Root systems of some Chihuahuan Desert plants , 2001 .

[27]  M. McClaran,et al.  The Desert Grassland , 1995 .

[28]  A. Parsons,et al.  Thornes, J.B. 1985: The ecology of erosion. Geography 70, 222—35 , 2010 .

[29]  John Wainwright,et al.  Hydrology–vegetation interactions in areas of discontinuous flow on a semi-arid bajada, Southern New Mexico , 2002 .

[30]  Christian T. K.-H. Stadtländer,et al.  Individual-based modelling and ecology , 2012 .

[31]  J. Derner,et al.  Soil‐ and plant‐water dynamics in a C3/C4 grassland exposed to a subambient to superambient CO2 gradient , 2002 .

[32]  David R. Foster,et al.  LONG‐TERM HISTORY OF VEGETATION AND FIRE IN PITCH PINE–OAK FORESTS ON CAPE COD, MASSACHUSETTS , 2003 .

[33]  F. Stuart Chapin,et al.  Model of Transient Changes in Arctic and Boreal Vegetation in Response to Climate and Land Use Change , 1996 .

[34]  Nicolas Barbier,et al.  Deeply gapped vegetation patterns: on crown/root allometry, criticality and desertification. , 2009, Journal of theoretical biology.

[35]  A. Parsons,et al.  Linking runoff and erosion dynamics to nutrient fluxes in a degrading dryland landscape , 2012 .

[36]  B. Nolen,et al.  Vegetation changes in the Jornada Basin from 1858 to 1998 , 2005 .

[37]  R. A. Wentzell,et al.  Hydrodynamic and Hydromagnetic Stability. By S. CHANDRASEKHAR. Clarendon Press: Oxford University Press, 1961. 652 pp. £5. 5s. , 1962, Journal of Fluid Mechanics.

[38]  M. Kurashige,et al.  Simulated effect of box size and wall on porosity of random packings of spherical particles , 2000 .

[39]  J. Holechek,et al.  Wildlife numbers on excellent and good condition Chihuahuan Desert rangelands: an observation. , 1996 .

[40]  J. Fargione,et al.  Atmospheric nitrogen deposition in the northern Chihuahuan desert: Temporal trends and potential consequences , 2007 .

[41]  Mark Kot,et al.  Elements of Mathematical Ecology , 2001 .

[42]  William K. Lauenroth,et al.  A gap dynamics simulation model of succession in a semiarid grassland , 1990 .

[43]  S. Pacala,et al.  Evolutionarily Stable Strategy Carbon Allocation to Foliage, Wood, and Fine Roots in Trees Competing for Light and Nitrogen: An Analytically Tractable, Individual-Based Model and Quantitative Comparisons to Data , 2011, The American Naturalist.

[44]  Sonia Kéfi,et al.  Local facilitation, bistability and transitions in arid ecosystems. , 2007, Theoretical population biology.

[45]  William P. Kustas,et al.  Morphological characteristics of shrub coppice dunes in desert grasslands of southern New Mexico derived from scanning LIDAR. , 2000 .

[46]  M. Westoby,et al.  Opportunistic management for rangelands not at equilibrium. , 1989 .

[47]  D. Mueller‐Dombois,et al.  Ecology of Tropical and Subtropical Vegetation. , 1972 .

[48]  Gregory S. Okin,et al.  Degradation of sandy arid shrubland environments: observations, process modelling, and management implications , 2001 .

[49]  O. Sala,et al.  Patch structure, dynamics and implications for the functioning of arid ecosystems. , 1999, Trends in ecology & evolution.

[50]  W. Wallender,et al.  Calibration of an evapotranspiration model to simulate soil water dynamics in a semiarid rangeland , 2008 .

[51]  J. Cloudsley-Thompson.  Biology of Deserts , 1952, Nature.

[52]  Anil Date,et al.  Introduction to Computational Fluid Dynamics , 2023, essentials.

[53]  John Wainwright,et al.  Scale relationships in hillslope runoff and erosion , 2006 .

[54]  Peter Turchin,et al.  Complex Population Dynamics , 2003 .

[55]  John Wainwright,et al.  Effects of vegetation change on interrill runoff and erosion, Walnut Gulch, southern Arizona , 1995 .

[56]  Turing bifurcation and stationary patterns in the ferroin-catalyzed Belousov-Zhabotinskii reaction , 1987 .

[57]  D. Peters,et al.  Do Changes in Connectivity Explain Desertification? , 2009 .

[58]  R. Scott,et al.  The ecohydrologic significance of hydraulic redistribution in a semiarid savanna , 2008 .

[59]  Charles W. Boast,et al.  Introduction to Soil Physics , 1983 .

[60]  John Wainwright,et al.  The effect of temporal variations in rainfall on scale dependency in runoff coefficients , 2002 .

[61]  Esteban Muldavin,et al.  Integrating Patch and Boundary Dynamics to Understand and Predict Biotic Transitions at Multiple Scales , 2005, Landscape Ecology.

[62]  D. Peters,et al.  Disentangling Complex Landscapes: New Insights into Arid and Semiarid System Dynamics , 2006 .

[63]  Fred N. Ares,et al.  Grazing values and management of black grama and tobosa grasslands and associated shrub ranges of the Southwest. , 1962 .

[64]  S. Nicholson.  Revised Rainfall Series for the West African Subtropics , 1979 .

[65]  L. Mehrhoff,et al.  Vegetation Changes on a Southern Arizona Grassland Range , 1958 .

[66]  W. Parton,et al.  Regional modeling of grassland biogeochemistry using GIS , 1990, Landscape Ecology.

[67]  John Wainwright,et al.  Nitrogen and phosphorus dynamics during runoff events over a transition from grassland to shrubland in the south‐western United States , 2011 .

[68]  D. Goldberg,et al.  Vegetation Change and Plant Demography in Permanent Plots in the Sonoran Desert , 1986 .

[69]  A. Parsons,et al.  Disposition of rainwater under creosotebush , 2003 .

[70]  R. Neilson,et al.  High-Resolution Climatic Analysis and Southwest Biogeography , 1986, Science.

[71]  C. Montaña,et al.  The colonization of bare areas in two-phase mosaics of an arid ecosystem , 1992 .

[72]  D. M. Powell,et al.  A transport‐distance approach to scaling erosion rates: 2. sensitivity and evaluation of Mahleran , 2008 .

[73]  W. Parton,et al.  Dynamics of C, N, P and S in grassland soils: a model , 1988 .

[74]  David A. Bainbridge,et al.  Restoration in the Sonoran Desert of California , 1990, Restoration & Management Notes.

[75]  G. McPherson,et al.  Patterns of Shrub Invasion in Semiarid Texas Grasslands , 1988 .

[76]  Swedish Mires.  Vegetation Changes on , 2000 .

[77]  A. Parsons,et al.  Impact of connectivity on the modeling of overland flow within semiarid shrubland environments , 2007 .

[78]  J. Thornes.  Modelling Soil Erosion by Grazing: Recent Developments and New Approaches , 2007 .

[79]  A. B. Rovinskii.  Twinkling patterns and diffusion-induced chaos in a model of the Belousov-Zhabotinskii chemical medium , 1987 .

[80]  F. Went,et al.  Ecology of Desert Plants. III. Development of Plants in the Death Valley National Monument, California , 1949 .

[81]  Harald Bugmann,et al.  The use of a European forest model in North America: a study of ecosystem response to climate gradients , 1995 .

[82]  S. Bamberg,et al.  Phenological Studies in the Mojave Desert at Rock Valley (Nevada Test Site) , 1974 .

[83]  D. Schimel,et al.  Mechanisms of shrubland expansion: land use, climate or CO2? , 1995 .

[84]  M. Barbour.  Age and Space Distribution of the Desert Shrub Larrea Div Aricata , 1969 .

[85]  ATMOSPHERIC NITROGEN. , 2022, Science.

[86]  Anthony J. Parsons,et al.  Size characteristics of sediment in interrill overland flow on a semiarid hillslope, Southern Arizona , 1991 .

[87]  Sharon E. Nicholson,et al.  Rainfall and Atmospheric Circulation during Drought Periods and Wetter Years in West Africa , 1981 .

[88]  A. Comrie,et al.  Variability and spatial modeling of fine-scale precipitation data for the Sonoran Desert of south-west Arizona , 2002 .

[89]  L. P. White.  Vegetation Stripes on Sheet Wash Surfaces , 1971 .

[90]  G. Okin,et al.  Distribution of vegetation in wind‐dominated landscapes: Implications for wind erosion modeling and landscape processes , 2001 .

[91]  M. Westoby.  Elements of a theory of vegetation dynamics in arid rangelands , 2013 .

[92]  S. Rambal,et al.  Ecotone dependent recruitment of a desert shrub, Flourensia cernua, in vegetation stripes , 1993 .

[93]  W. Whitford,et al.  Stemflow, throughfall and channelization of stemflow by roots in three Chihuahuan desert shrubs , 1996 .

[94]  L. H. Cammeraat,et al.  Runoff and erosion , 1997 .

[95]  D. Dunkerley,et al.  Banded vegetation near Broken Hill, Australia: significance of surface roughness and soil physical properties , 1999 .

[96]  Louise J. Bracken,et al.  The concept of hydrological connectivity and its contribution to understanding runoff‐dominated geomorphic systems , 2007 .

[97]  Richard Miller,et al.  Response of Bouteloua eriopoda (Torr.) Torr. and Sporobolus flexuosus (Thurb.) Rybd. to season of defoliation. , 1979 .

[98]  Dulos,et al.  Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern. , 1990, Physical review letters.

[99]  H. Prins,et al.  VEGETATION PATTERN FORMATION IN SEMI-ARID GRAZING SYSTEMS , 2001 .

[100]  John Wainwright,et al.  Upscaling understanding of nitrogen dynamics associated with overland flow in a semi-arid environment , 2007 .

[101]  W. Schlesinger,et al.  Carbon and nitrogen limitations of soil microbial biomass in desert ecosystems , 1992 .

[102]  W. Lauenroth,et al.  Comparison of root distributions of species in North American grasslands using GIS , 1997 .

[103]  R. Humphrey.  The desert grassland a history of vegetational change and an analysis of causes , 2012, The Botanical Review.

[104]  R. Lange,et al.  Vegetation management of Chenopod rangelands in South Australia , 1984 .

[105]  John Wainwright,et al.  A conceptual framework for understanding semi‐arid land degradation: ecohydrological interactions across multiple‐space and time scales , 2008 .

[106]  M. Cody.  Spacing patterns in Mojave Desert plant communities: near-neighbor analyses , 1986 .

[107]  R. May.  Thresholds and breakpoints in ecosystems with a multiplicity of stable states , 1977, Nature.

[108]  A. Turing.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[109]  Nitrogen limitation in dryland ecosystems: Responses to geographical and temporal variation in precipitation , 1999 .

[110]  J. Reynolds,et al.  Impact of drought on desert shrubs : Effects of seasonality and degree of resource island development , 1999 .

[111]  G. Okin,et al.  Quantitative effects of vegetation cover on wind erosion and soil nutrient loss in a desert grassland of southern New Mexico, USA , 2007 .

[112]  W. A. Macfadyen.  Vegetation patterns in the semi-desert plains of British Somaliland. , 1950 .

[113]  Nicolas Barbier,et al.  Self‐organized vegetation patterning as a fingerprint of climate and human impact on semi‐arid ecosystems , 2006 .

[114]  Gregory S. Okin,et al.  Multi-scale controls on and consequences of aeolian processes in landscape change in arid and semi-arid environments , 2006 .

[115]  D. Tongway,et al.  VEGETATION PATCHES AND RUNOFF–EROSION AS INTERACTING ECOHYDROLOGICAL PROCESSES IN SEMIARID LANDSCAPES , 2005 .

[116]  H. Kowarzyk.  Structure and Function. , 1910, Nature.

[117]  J. McAuliffe.  Markovian Dynamics of Simple and Complex Desert Plant Communities , 1988, The American Naturalist.

[118]  J F Reynolds,et al.  Biological Feedbacks in Global Desertification , 1990, Science.

[119]  D. Peters.  Recruitment potential of two perennial grasses with different growth forms at a semiarid-arid transition zone. , 2002, American journal of botany.

[120]  Debra P. C. Peters,et al.  Plant species dominance at a grassland–shrubland ecotone: an individual-based gap dynamics model of herbaceous and woody species , 2002 .

[121]  C. H. Herbel,et al.  Drought Effects on a Semidesert Grassland Range , 1972 .

[122]  S. Higgins,et al.  Modeling invasive plant spread: the role of plant-environment interactions and model structure. , 1996 .

[123]  David Tilman,et al.  Loss of plant species after chronic low-level nitrogen deposition to prairie grasslands , 2008, Nature.

[124]  John Wainwright,et al.  Spatial variability of soil and nutrient characteristics of semi‐arid grasslands and shrublands, Jornada Basin, New Mexico , 2007 .

[125]  John Wainwright,et al.  Distributed dynamic modelling of interrill overland flow , 1997 .

[126]  John Wainwright,et al.  Plot-scale studies of vegetation, overland flow and erosion interactions: case studies from Arizona and New Mexico , 2000 .

[127]  Nicolas Barbier,et al.  The global biogeography of semi‐arid periodic vegetation patterns , 2008 .

[128]  James F. Reynolds,et al.  The Effect of Neighbors on Root Distribution in a Creosotebush (Larrea Tridentata) Population , 1994 .

[129]  Pierre Couteron,et al.  Periodic spotted patterns in semi‐arid vegetation explained by a propagation‐inhibition model , 2001 .

[130]  J. L. Gardner.  Effects of Thirty Years of Protection from Grazing in Desert Grassland , 1950 .

[131]  J. Sperry,et al.  Freezing-induced xylem cavitation and the northern limit of Larrea tridentata , 1996, Oecologia.

[132]  Christian Valentin,et al.  A runoff capability classification system based on surface features criteria in semi-arid areas of West Africa , 1992 .

[133]  Alice Eastlake Chew,et al.  Energy Relationships of the Mammals of a Desert Shrub (Larrea tridentata) Community , 1970 .

[134]  J. Gillett.  The Plant Formations of Western British Somaliland and the Harar Province of Abyssinia , 1941 .

[135]  P. Gersmehl,et al.  Migration Models for Grasses in the American Midcontinent , 1985 .

[136]  M. Rietkerk,et al.  Spatial Interactions and Resilience in Arid Ecosystems , 2004, The American Naturalist.

[137]  R. Grayson,et al.  Toward capturing hydrologically significant connectivity in spatial patterns , 2001 .

[138]  John Wainwright,et al.  Responses of interrill runoff and erosion rates to vegetation change in southern Arizona , 1996 .

[139]  J. Brouwer,et al.  The role of surface water redistribution in an area of patterned vegetation in a semi-arid environment, south-west Niger. , 1997 .

[140]  R. O'Neill,et al.  A revised concept of landscape equilibrium: Disturbance and stability on scaled landscapes , 1993, Landscape Ecology.

[141]  C. Klausmeier,et al.  Regular and irregular patterns in semiarid vegetation , 1999, Science.

[142]  Gregory S. Okin,et al.  Impact of feedbacks on Chihuahuan desert grasslands: Transience and metastability , 2009 .

[143]  Colin P Osborne,et al.  Nature's green revolution: the remarkable evolutionary rise of C4 plants , 2006, Philosophical Transactions of the Royal Society B: Biological Sciences.

[144]  W. Schlesinger,et al.  Processes controlling ammonia volatilization from chihuahuan desert soils , 1991 .

[145]  J. Thornes.  The interaction of erosional and vegetational dynamics in land degradation: spatial outcomes. , 1990 .

[146]  J. Albertson,et al.  Dynamical effects of the statistical structure of annual rainfall on dryland vegetation , 2006 .

[147]  M. Nash,et al.  Effects of intense, short-duration grazing on microtopography in a Chihuahuan Desert grassland , 2004 .

[148]  D. M. Powell,et al.  A transport‐distance approach to scaling erosion rates: 1. Background and model development , 2008 .