Spatio‐temporal development of forests – current trends in field methods and models

We present a critical review of current trends in research of spatio-temporal development of forests. The paper addresses (1) field methods for the development of spatially-explicit models of forest dynamics and their integration in models of forest dynamics, (2) strengths and limitations of traditional patch models versus spatially-explicit, individual-based models, and (3) the potential for moment-based methods in the analysis of forest dynamics. These topics are discussed with reference to their potential for solving open questions in the studies of forest dynamics. The study of spatio-temporal processes provides a link between pattern and process in plant communities, and plays a crucial role in understanding ecosystem dynamics. In the last decade, the development of spatially-explicit, individual-based models shifted the focus of forest dynamics modelling from the dynamics of discrete patches to the interactions among individual organisms, thus encapsulating the theory of "neighbourhood" dynamics. In turn, the stochastic properties and the complexity of spatially-explicit, individual-based models gave rise to the development of a new suite of so-called moment-based models. These new models describe the dynamics of individuals and of pairs of individuals in terms of their densities, thus directly capturing second-order information on spatial structure. So far, this approach has not been applied to forests; we indicate extensions needed for such applications. Moment-based models may be an important complement to spatially explicit individual-based models in developing a general spatial theory of forest dynamics. However, both kinds of models currently focus on fine scales, whereas a critical issue in forest dynamics is to understand the interaction of fine-scale processes with coarser-scale disturbances. To obtain a more complete picture of forest dynamics, the relevant links and interactions between fine-, intermediate-, and coarse-scale processes ought to be identified. Intensive links between modelling work and field studies designed across different scales are a promising means to create a new perspective on forest dynamics.

[1]  William L. Baker,et al.  The landscape ecology of large disturbances in the design and management of nature reserves , 1992, Landscape Ecology.

[2]  Matthias Dobbertin,et al.  A Comparison of Distance-Dependent Competition Measures for Height and Basal Area Growth of Individual Conifer Trees , 1992, Forest Science.

[3]  Jian-guo Wu.  Hierarchy and scaling: Extrapolating informa-tion along a scaling ladder , 1999 .

[4]  Monica G. Turner,et al.  Maintaining Biodiversity in Forest Ecosystems: Dynamic forest mosaics , 1999 .

[5]  Harald Bugmann,et al.  A New Forest Gap Model to Study the Effects of Environmental Change on Forest Structure and Functioning , 1997 .

[6]  E. Maarel,et al.  Pattern and process in the plant community: Fifty years after A.S. Watt , 1996 .

[7]  C. Canham,et al.  Evaluating the potential of the SORTIE forest succession model for spatio-temporal analysis of small-scale disturbances , 2002 .

[8]  A. Finzi,et al.  Plant-soil Interactions: Ecological Aspects and Evolutionary Implications , 1998, Biogeochemistry.

[9]  T. Allen,et al.  Toward a Unified Ecology. , 1994 .

[10]  V. Grimm.  Ten years of individual-based modelling in ecology: what have we learned and what could we learn in the future? , 1999 .

[11]  C. Canham,et al.  Soil nitrogen availability, plant luxury consumption, and herbivory by white-tailed deer , 2002, Oecologia.

[12]  C. Canham,et al.  Forest Gaps and Isolated Savanna Trees , 1994 .

[13]  John A. Silander,et al.  Juvenile Tree Survivorship as a Component of Shade Tolerance , 1995 .

[14]  R. Paine,et al.  Disturbance, patch formation, and community structure. , 1974, Proceedings of the National Academy of Sciences of the United States of America.

[15]  Charles D. Canham,et al.  Causes and consequences of resource heterogeneity in forests : interspecific variation in light transmission by canopy trees , 1994 .

[16]  I. Bella,et al.  A New Competition Model for Individual Trees , 1971 .

[17]  Simon A. Levin,et al.  Biologically generated spatial pattern and the coexistence of competing species , 1997 .

[18]  Thomas T. Veblen,et al.  Disturbance and climatic influences on age structure of ponderosa pine at the pine/grassland ecotone, Colorado Front Range , 1998 .

[19]  Wayne P. Sousa,et al.  Chapter 7 – Disturbance and Patch Dynamics on Rocky Intertidal Shores , 1985 .

[20]  T. Allen,et al.  Hierarchy Theory: A Vision, Vocabulary, and Epistemology , 1996 .

[21]  Chris J. Peterson,et al.  Microsite differences and temporal change in plant communities of treefall pits and mounds in an old-growth forest , 1993 .

[22]  Peter Kareiva,et al.  Spatial ecology : the role of space in population dynamics and interspecific interactions , 1998 .

[23]  Ricardo Villalba,et al.  INFLUENCES OF LARGE-SCALE CLIMATIC VARIABILITY ON EPISODIC TREE MORTALITY IN NORTHERN PATAGONIA , 1998 .

[24]  M. Begon,et al.  Population Ecology: A Unified Study of Animals and Plants , 1982 .

[25]  Imon,et al.  Mechanistic models for tree seed dispersal by wind in dense forests and open landscapes , 2001 .

[26]  F. H. Schweingruber,et al.  Spatiotemporal growth dynamics and disturbances in a subalpine spruce forest in the Alps: a dendroecological reconstruction , 1996 .

[27]  Charles D. Canham,et al.  Direct and indirect effects of masting on rodent populations and tree seed survival , 2002 .

[28]  Richard P. Duncan,et al.  The temporal and spatial analysis of tree age distributions , 1991 .

[29]  S. Hubbell,et al.  Spatial patterns in the distribution of tropical tree species. , 2000, Science.

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

[31]  John F. Weishampel,et al.  Coupling a spatially-explicit forest gap model with a 3-D solar routine to simulate latitudinal effects , 1996 .

[32]  Randy Calcote,et al.  Pollen source area and pollen productivity: evidence from forest hollows , 1995 .

[33]  H. Shugart.  A Theory of Forest Dynamics , 1984 .

[34]  J. H. Smith,et al.  DEVELOPMENT AND TESTING OF STAND MODELS FOR DOUGLAS FIR AND LODGEPOLE PINE , 1964 .

[35]  Hiroshi Tanaka,et al.  Fifteen years of canopy dynamics analyzed by aerial photographs in a temperate deciduous forest, Japan , 1997 .

[36]  S. Levin,et al.  Theories of Simplification and Scaling of Spatially Distributed Processes , 2011 .

[37]  C. Canham,et al.  Measurement and modeling of spatially explicit variation in light transmission through interior cedar-hemlock forests of British Columbia , 1999 .

[38]  S. Pacala,et al.  Forest models defined by field measurements : Estimation, error analysis and dynamics , 1996 .

[39]  H. Bugmann.  A Review of Forest Gap Models , 2001 .

[40]  John A. Silander,et al.  Neighborhood predictors of plant performance , 1985, Oecologia.

[41]  Steward T. A. Pickett,et al.  Forest Reorganization: A Case Study in an Old‐Growth Forest Catastrophic Blowdown , 1995 .

[42]  Howard Hunt Pattee,et al.  Hierarchy Theory: The Challenge of Complex Systems , 1973 .

[43]  Thomas M. Smith,et al.  Spatial applications of gap models , 1991 .

[44]  M. Hill,et al.  Data analysis in community and landscape ecology , 1987 .

[45]  Charles P.-A. Bourque,et al.  Spatial prediction of tree and shrub succession in a small watershed in Northern Cape Breton Island, Nova Scotia, Canada , 2001 .

[46]  Thorsten Wiegand,et al.  Rings, circles, and null-models for point pattern analysis in ecology , 2004 .

[47]  K. Lertzman,et al.  Forest dynamics, differential mortality and variable recruitment probabilities , 1995 .

[48]  H. Shugart.  Terrestrial Ecosystems in Changing Environments , 1998 .

[49]  Niklaus E. Zimmermann,et al.  Regeneration in Gap Models: Priority Issues for Studying Forest Responses to Climate Change , 2001 .

[50]  D. C. West,et al.  Long-term dynamics of forest ecosystems , 1981 .

[51]  Christian P. Giardina,et al.  Why do Tree Species Affect Soils? The Warp and Woof of Tree-soil Interactions , 1998 .

[52]  W. H. Carmean,et al.  Height-growth and site-index curves for jack pine in north central Ontario , 1989 .

[53]  J. R. Runkle.  Gap Regeneration in Some Old-growth Forests of the Eastern United States , 1981 .

[54]  James S. Clark,et al.  STAGES AND SPATIAL SCALES OF RECRUITMENT LIMITATION IN SOUTHERN APPALACHIAN FORESTS , 1998 .

[55]  Ricardo Villalba,et al.  Regional patterns of tree population age structures in northern Patagonia: climatic and disturbance influences , 1997 .

[56]  G. Nowacki,et al.  RADIAL-GROWTH AVERAGING CRITERIA FOR RECONSTRUCTING DISTURBANCE HISTORIES FROM PRESETTLEMENT-ORIGIN OAKS , 1997 .

[57]  Ulf Dieckmann,et al.  Relaxation Projections and the Method of Moments , 1999 .

[58]  A. Watt,et al.  Pattern and process in the plant community , 1947 .

[59]  Alan R. Ek,et al.  Forest growth modelling and prediction , 1988 .

[60]  D. Greene,et al.  Seed mass and dispersal capacity in wind-dispersed diaspores , 1993 .

[61]  Charles D. Canham,et al.  Interspecific variation in susceptibility to windthrow as a function of tree size and storm severity for northern temperate tree species , 2001 .

[62]  P. S. Botts.  Spatial pattern, patch dynamics and successional change: chironomid assemblages in a Lake Erie coastal wetland , 1997 .

[63]  Orie L. Loucks,et al.  Chapter 5 – Gap Processes and Large-Scale Disturbances in Sand Prairies , 1985 .

[64]  Janneke HilleRisLambers,et al.  Seed Dispersal Near and Far: Patterns Across Temperate and Tropical Forests , 1999 .

[65]  Steward T. A. Pickett,et al.  Chapter 2 – Disturbance Regimes in Temperate Forests , 1985 .

[66]  Tim Parshall,et al.  Canopy mortality and stand-scale change in a northern hemlock–hardwood forest , 1995 .

[67]  D. Botkin.  Forest Dynamics: An Ecological Model , 1993 .

[68]  John A. Silander,et al.  Sapling growth as a function of resources in a north temperate forest , 1994 .

[69]  Benjamin Smith,et al.  LIFE HISTORY DIFFERENCES AND TREE SPECIES COEXISTENCE IN AN OLD-GROWTH NEW ZEALAND RAIN FOREST , 1998 .

[70]  Steward T. A. Pickett,et al.  The Ecology of Natural Disturbance and Patch Dynamics , 1985 .

[71]  Akira Sasaki,et al.  Statistical Mechanics of Population , 1992 .

[72]  Danielle J. Marceau,et al.  Quantifying gap dynamics at the patch mosaic level using a spatially-explicit model of a northern hardwood forest ecosystem , 2001 .

[73]  Thomas M. Smith,et al.  Scale and resolution of forest structural pattern , 1988, Vegetatio.

[74]  Emery R. Boose,et al.  Hurricane impacts to tropical and temperate forest landscapes , 1994 .

[75]  Craig G. Lorimer,et al.  Methodological considerations in the analysis of forest disturbance history , 1985 .

[76]  David R. Schiel,et al.  Patch dynamics and response to disturbance of the seagrass Zostera novazelandica on intertidal platforms in southern New Zealand , 1999 .

[77]  Steward T. A. Pickett,et al.  Patch dynamics and the design of nature reserves , 1978 .

[78]  Jacob Weiner,et al.  Growth Variation in a Naturally Established Population of Pinus Sylvestris , 1994 .

[79]  S. Milton,et al.  Population Dynamics, Disturbance, and Pattern Evolution: Identifying the Fundamental Scales of Organization in a Model Ecosystem , 1998, The American Naturalist.

[80]  J. Chave.  Study of structural, successional and spatial patterns in tropical rain forests using TROLL, a spatially explicit forest model , 1999 .

[81]  Ulf Dieckmann,et al.  On moment closures for population dynamics in continuous space. , 2004, Journal of theoretical biology.

[82]  P. White,et al.  The Ecology of Natural Disturbance and Patch Dynamics , 1986 .

[83]  Richard Kabzems,et al.  Height growth and site index models for trembling aspen (Populus tremuloides Michx.) in northern British Columbia , 1998 .

[84]  H. Schenk,et al.  Modeling the effects of temperature on growth and persistence of tree species: A critical review of tree population models , 1996 .

[85]  Clarence Lehman,et al.  8. Competition in Spatial Habitats , 1998 .

[86]  Ulf Dieckmann,et al.  The Geometry of Ecological Interactions: Simplifying Spatial Complexity , 2000 .

[87]  Eelke Jongejans,et al.  Field experiments on seed dispersal by wind in ten umbelliferous species (Apiaceae) , 2004, Plant Ecology.

[88]  Tim Gerrodette,et al.  Patch Dynamics and Stability of Some California Kelp Communities , 1984 .

[89]  D. DeAngelis,et al.  Individual-Based Models and Approaches in Ecology , 1992 .

[90]  Christopher B. Field,et al.  Tree Mortality in Gap Models: Application to Climate Change , 2001 .

[91]  James S. Clark,et al.  Predicting tree mortality from diameter growth : a comparison of maximum likelihood and Bayesian approaches , 2000 .

[92]  C. Canham,et al.  A neighborhood analysis of canopy tree competition : effects of shading versus crowding , 2004 .

[93]  Jacob Weiner,et al.  A neighborhood view of interactions among individual plants , 2000 .

[94]  Peter J. Brown,et al.  A cross-dated fire history from coast redwood near Redwood National Park, California , 1994 .

[95]  Wesley Rodrigues Silva,et al.  Mechanistic models for tree seed dispersal by wind in dense forests and open landscapes. , 2002 .

[96]  Chris J. Peterson,et al.  Damage and recovery of tree species after two different tornadoes in the same old growth forest: a comparison of infrequent wind disturbances , 2000 .

[97]  B. Ripley.  Modelling Spatial Patterns , 1977 .

[98]  Charles D. Canham,et al.  Non-additive effects of litter mixtures on net N mineralization in a southern New England forest , 1998 .

[99]  Robert B. Waide,et al.  Responses of Tree Species to Hurricane Winds in Subtropical Wet Forest in Puerto Rico: Implications for Tropical Tree Life Histories , 1994 .

[100]  Drew W. Purves,et al.  Causes and Effects of Small-Scale Spatial Structure in Plant Populations , 2001 .

[101]  S. Pacala,et al.  Forest models defined by field measurements: I. The design of a northeastern forest simulator , 1993 .

[102]  Jonathan Silvertown,et al.  CANOPY CLOSURE RATE AND FOREST STRUCTURE , 1997 .

[103]  V. T. Parker,et al.  Ecological scale : theory and applications , 1999 .

[104]  Akira Sasaki,et al.  Pathogen invasion and host extinction in lattice structured populations , 1994, Journal of mathematical biology.

[105]  M. Wimberly,et al.  Simulating Historical Variability in the Amount of Old Forests in the Oregon Coast Range , 2000 .

[106]  Y. Iwasa,et al.  Population persistence and spatially limited social interaction. , 1995, Theoretical population biology.

[107]  Bengt Gunnar Jonsson,et al.  Dating uprooted trees: comparison and application of eight methods in a boreal forest , 1991 .

[108]  M. Turner,et al.  Factors Influencing Succession: Lessons from Large, Infrequent Natural Disturbances , 1998, Ecosystems.

[109]  Ulf Dieckmann,et al.  A DYNAMICAL SYSTEM FOR NEIGHBORHOODS INPLANT COMMUNITIES , 2000 .

[110]  Peter Chesson,et al.  How species with different regeneration niches coexist in patchy habitats with local disturbances , 1995 .

[111]  Drew W. Purves,et al.  Fine‐scale spatial structure in a grassland community: quantifying the plant’s‐eye view , 2002 .

[112]  Charles D. Canham,et al.  CANOPY TREE–SOIL INTERACTIONS WITHIN TEMPERATE FORESTS: SPECIES EFFECTS ON pH AND CATIONS , 1998 .

[113]  Yoh Iwasa,et al.  Forest Spatial Dynamics with Gap Expansion: Total Gap Area and Gap Size Distribution , 1996 .

[114]  Craig Loehle,et al.  Model-based assessments of climate change effects on forests , 1995 .

[115]  William K. Lauenroth,et al.  An individual-based model of alpine plant distributions , 1996 .

[116]  Thorsten Wiegand,et al.  Finding the Missing Link between Landscape Structure and Population Dynamics: A Spatially Explicit Perspective , 1999, The American Naturalist.

[117]  Jianguo Wu,et al.  A spatially explicit hierarchical approach to modeling complex ecological systems: theory and applications , 2002 .

[118]  Drew W. Purves,et al.  Experimental derivation of functions relating growth of Arabidopsis thaliana to neighbour size and distance , 2002 .

[119]  S. Bell,et al.  Seagrass growth and patch dynamics: cross-scale morphological plasticity , 2001, Plant Ecology.

[120]  Steven W. Running,et al.  Numerical Terradynamic Simulation Group 4-1993 A Physiology-Based Gap Model of Forest Dynamics , 2017 .

[121]  H. G. Andrewartha,et al.  Population Ecology , 2020, Nature.

[122]  M. Lexer,et al.  A modified 3D-patch model for spatially explicit simulation of vegetation composition in heterogeneous landscapes , 2001 .

[123]  Minus van Baalen,et al.  The Geometry of Ecological Interactions: Pair Approximations for Different Spatial Geometries , 2000 .

[124]  S. Levin,et al.  Mechanisms of long-distance dispersal of seeds by wind , 2002, Nature.

[125]  Stephen R. Kessell,et al.  A quantitative succession model for nine montana forest communities , 1980 .

[126]  Otto Eckmüllner,et al.  Interspecific variation in the response of growth, crown morphology, and survivorship to light of six tree species in the conifer belt of the Bhutan Himalayas , 2004 .

[127]  R. Law,et al.  Heteromyopia and the spatial coexistence of similar competitors , 2002 .

[128]  Craig G. Lorimer,et al.  A methodology for estimating canopy disturbance frequency and intensity in dense temperate forests , 1989 .

[129]  Ulf Dieckmann,et al.  Moment Approximations of Individual-based Models , 1999 .

[130]  P. Amarasekare.  Competitive coexistence in spatially structured environments: a synthesis , 2003 .

[131]  Craig G. Lorimer,et al.  Tests of age-independent competition indices for individual trees in natural hardwood stands , 1983 .

[132]  Harald Bugmann,et al.  On the ecology of mountainous forests in a changing climate , 1994 .

[133]  P. Burrough.  Data Analysis in Community and Landscape Ecology: Spatial aspects of ecological data , 1995 .

[134]  Michael L. Cain,et al.  Methods for estimating long-distance dispersal , 2003 .

[135]  Michael S. Rosenberg,et al.  Conceptual and Mathematical Relationships among Methods for Spatial Analysis , 2022 .

[136]  B. Bolker,et al.  Using Moment Equations to Understand Stochastically Driven Spatial Pattern Formation in Ecological Systems , 1997, Theoretical population biology.

[137]  D. Tilman.  Competition and Biodiversity in Spatially Structured Habitats , 1994 .

[138]  L. Heger,et al.  A Method of Constructing Site-Index Curves from Stem Analyses , 1968 .

[139]  S. Pacala,et al.  SEEDLING RECRUITMENT IN FORESTS: CALIBRATING MODELS TO PREDICT PATTERNS OF TREE SEEDLING DISPERSION' , 1994 .

[140]  P. White,et al.  The Ecology of Natural Disturbance and Patch Dynamics , 1986 .

[141]  P. Risser,et al.  Long-term ecological research : an international perspective , 1992 .

[142]  Yoh Iwasa,et al.  Lattice population dynamics for plants with dispersing seeds and Vegetative propagation , 1994, Researches on Population Ecology.

[143]  P. Moran.  Notes on continuous stochastic phenomena. , 1950, Biometrika.

[144]  Akira Sasaki,et al.  Statistical Mechanics of Population: The Lattice Lotka-Volterra Model , 1992 .

[145]  Katrin Böhning-Gaese,et al.  Seed dispersal, braeding system, tree density and the spatial pattern of trees – a simulation approach , 2002 .

[146]  Margarida Tomé,et al.  Distance-dependent competition measures for eucalyptus plantations in Portugal , 1999 .

[147]  R. M. Newnham.  The development of a stand model for Douglas fir , 1964 .

[148]  Charles D. Canham,et al.  Catastrophic windthrow in the presettlement forests of Wisconsin , 1984 .

[149]  Charles D. Canham,et al.  Seed abundance versus substrate limitation of seedling recruitment in northern temperate forests of British Columbia , 2000 .

[150]  J. T. Callahan.  Long-Term Ecological Research , 1984 .

[151]  Albert R. Stage,et al.  Effects of competitor spacing in individual-tree indices of competition , 2001 .

[152]  Douglas H. Deutschman,et al.  Details That Matter: The Spatial Distribution of Individual Trees Maintains Forest Ecosystem Function , 1995 .

[153]  Ran Nathan,et al.  Spatial patterns of seed dispersal, their determinants and consequences for recruitment. , 2000, Trends in ecology & evolution.

[154]  P. Zinke,et al.  The Pattern of Influence of Individual Forest Trees on Soil Properties , 1962 .

[155]  Yoh Iwasa,et al.  The Geometry of Ecological Interactions: Lattice Models and Pair Approximation in Ecology , 2000 .

[156]  Y. Cohen,et al.  Generation of Spatial Patterns in Boreal Forest Landscapes , 1999, Ecosystems.

[157]  Bai-Lian Li,et al.  The Geometry of Ecological Interactions: Simplifying Spatial Complexity , 2002 .

[158]  Wolfgang Cramer,et al.  A simulation model for the transient effects of climate change on forest landscapes , 1993 .

[159]  Charles D. Canham,et al.  NEIGHBORHOOD ANALYSES OF SMALL‐MAMMAL DYNAMICS: IMPACTS ON SEED PREDATION AND SEEDLING ESTABLISHMENT , 2004 .

[160]  Thomas Kitzberger,et al.  Disturbance regime and disturbance interactions in a Rocky Mountain subalpine forest , 1994 .

[161]  Kate Lajtha,et al.  The Ecology of Natural Disturbance and Patch Dynamics , 1987 .

[162]  Anton Fischer.  Long term vegetation development in Bavarian Mountain Forest ecosystems following natural destruction , 2004, Vegetatio.

[163]  N. Brokaw,et al.  Chapter 4 – Treefalls, Regrowth, and Community Structure in Tropical Forests , 1985 .

[164]  Kirk A. Moloney,et al.  Spatially-explicit vegetation models : what have we learned ? , 2002 .

[165]  Martin F. Quigley,et al.  Structure and pattern in temperate seasonal forests , 1996, Vegetatio.

[166]  A A Rawlinson,et al.  When will plant morphology affect the shape of a seed dispersal "kernel"? , 2001, Journal of theoretical biology.

[167]  Drew W. Purves,et al.  Uniting pattern and process in plant ecology , 2001 .

[168]  Chris J. Peterson,et al.  Can disturbance create refugia from herbivores : an example with Hemlock regeneration on treefall mounds , 1998 .

[169]  O P Judson,et al.  The rise of the individual-based model in ecology. , 1994, Trends in ecology & evolution.

[170]  J. R. Wallis,et al.  Rationale, Limitations, and Assumptions of a Northeastern Forest Growth Simulator , 1972, IBM J. Res. Dev..