FIELD VALIDATION AND SENSITIVITY ANALYSIS OF A MECHANISTIC MODEL FOR TREE SEED DISPERSAL BY WIND

We present a temporally and spatially explicit mechanistic model of tree seed dispersal by wind, incorporating full stochasticity based on natural variation. The model simulates the dispersal of each individual seed by integrating the temporal effects of climatic conditions on the rate of seed release, and the spatial effects of wind direction and horizontal and vertical velocities, the terminal velocity of seeds (i.e., the constant descent velocity in calm air), and the height of seed release, partitioned into tree height and the distribution of seeds with tree height. The model was tested for two Pinus halepensis stands within the Mediterranean region of Israel, in which seed dispersal has been extensively monitored by seed traps. The predicted dispersal curve verified expectations of a positively skewed leptokurtic distribution and of peak location at some distance from a point source and at zero distance from an area source. Long-distance dispersal events occurred with very low frequency, but given th...

[1]  S. B. Vander Wall,et al.  Secondary Dispersal by the Wind of Winged Pine Seeds Across the Ground Surface , 1998 .

[2]  Simon A. Levin,et al.  A Theoretical Framework for Data Analysis of Wind Dispersal of Seeds and Pollen , 1989 .

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

[4]  D. Greene,et al.  A MODEL OF WIND DISPERSAL OF WINGED OR PLUMED SEEDS , 1989 .

[5]  David M Richardson,et al.  Predicting Plant Migration Rates in a Changing World: The Role of Long‐Distance Dispersal , 1999, The American Naturalist.

[6]  H. Fowells Silvics of forest trees of the United States. , 1965 .

[7]  B. Amiro,et al.  Statistics of atmospheric turbulence within a natural black spruce forest canopy , 1988 .

[8]  D. Ludwig,et al.  Small Models are Beautiful: Efficient Estimators are Even More Beautiful , 1989 .

[9]  J. Lepart,et al.  La colonisation des friches par le pin d'Alep (Pinus halepensis Miller) en Languedoc méditerranéen , 1984 .

[10]  C. S. Shopmeyer Seeds of woody plants in the United States , 1974 .

[11]  J. Grace,et al.  Biophysical Aerodynamics and the Natural Environment. , 1984 .

[12]  D. Richardson,et al.  What attributes make some plant species more invasive , 1996 .

[13]  T. O. Kvålseth Cautionary Note about R 2 , 1985 .

[14]  C. Augspurger,et al.  MORPHOLOGY AND DISPERSAL POTENTIAL OF WIND‐DISPERSED DIASPORES OF NEOTROPICAL TREES , 1986 .

[15]  E Ackerman,et al.  Latin hypercube sampling and the sensitivity analysis of a Monte Carlo epidemic model. , 1988, International journal of bio-medical computing.

[16]  J. D. Stewart,et al.  Dispersal of white spruce seed in mature aspen stands , 1998 .

[17]  F. O. Hoffman,et al.  An Examination of Response-Surface Methodologies for Uncertainty Analysis in Assessment Models , 1985 .

[18]  Jon C. Helton,et al.  Uncertainty and sensitivity analysis techniques for use in performance assessment for radioactive waste disposal , 1993 .

[19]  Craig Loehle,et al.  A hypothesis testing framework for evaluating ecosystem model performance , 1997 .

[20]  F. Burrows CHAPTER 1 – The Aerial Motion of Seeds, Fruits, Spores and Pollen , 1986 .

[21]  C. Augspurger,et al.  Wind Dispersal of Artifical Fruits Varying in Mass, Area, and Morphology , 1987 .

[22]  J. Lepart,et al.  Invasion processes as related to succession and disturbance. , 1991 .

[23]  E. Nordheim,et al.  Notes: Flight Characteristics and Dispersal Potential of Maple Samaras , 1984 .

[24]  D. Greene,et al.  Secondary dispersal of tree seeds on snow , 1997 .

[25]  D. Greene,et al.  Can the Variation in Samara Mass and Terminal Velocity on an Individual Plant Affect the Distribution of Dispersal Distances? , 1992, The American Naturalist.

[26]  D. Greene,et al.  LONG-DISTANCE WIND DISPERSAL OF TREE SEEDS , 1995 .

[27]  F. M. Burrows,et al.  CALCULATION OF THE PRIMARY TRAJECTORIES OF PLUMED SEEDS IN STEADY WINDS WITH VARIABLE CONVECTION , 1973 .

[28]  M. D. McKay,et al.  A comparison of three methods for selecting values of input variables in the analysis of output from a computer code , 2000 .

[29]  Stephen M. Robinson,et al.  Computing Wind Profile Parameters , 1962 .

[30]  J. Monteith,et al.  Principles of Environmental Physics , 2014 .

[31]  D. E. Fields,et al.  Integrating the effects of climate and seed fall velocities on seed dispersal by wind: A model and application☆ , 1982 .

[32]  F. M. Burrows Calculation of the primary trajectories of seeds and other particles in strong winds , 1983 .

[33]  F. Burrows CALCULATION OF THE PRIMARY TRAJECTORIES OF DUST SEEDS, SPORES AND POLLEN IN UNSTEADY WINDS , 1975 .

[34]  R. Hengeveld,et al.  Small-step invasion research. , 1994, Trends in ecology & evolution.

[35]  N. T. Mirov,et al.  The genus Pinus. , 1968 .

[36]  Marc P. Armstrong,et al.  Dispersal probability and forest diversity in a fragmented landscape , 1996 .

[37]  P. Driessche,et al.  Dispersal data and the spread of invading organisms. , 1996 .

[38]  George C. Hurtt,et al.  Reid's Paradox of Rapid Plant Migration Dispersal theory and interpretation of paleoecological records , 1998 .

[39]  R. Norberg AUTOROTATION, SELF‐STABILITY, AND STRUCTURE OF SINGLE‐WINGED FRUITS AND SEEDS (SAMARAS) WITH COMPARATIVE REMARKS ON ANIMAL FLIGHT , 1973 .

[40]  Ran Nathan,et al.  Seed release without fire in Pinus halepensis, a Mediterranean serotinous wind‐dispersed tree , 1999 .

[41]  R. Petit,et al.  Colonization with long-distance seed dispersal and genetic structure of maternally inherited genes in forest trees: a simulation study , 1997 .

[42]  S. Shapiro,et al.  An Analysis of Variance Test for Normality (Complete Samples) , 1965 .

[43]  R. Primack,et al.  Dispersal Can Limit Local Plant Distribution , 1992 .

[44]  Douglas S. Green THE TERMINAL VELOCITY AND DISPERSAL OF SPINNING SAMARAS , 1980 .

[45]  Henry Howe,et al.  Ecology of Seed Dispersal , 1982 .

[46]  P. Poschlod,et al.  Seed banks and seed dispersal: Important topics in restoration ecology , 1996 .

[47]  D. Janzen Herbivores and the Number of Tree Species in Tropical Forests , 1970, The American Naturalist.

[48]  A. Rosen,et al.  STUDY OF THE VERTICAL AUTOROTATION OF A SINGLEWINGED SAMARA , 1992 .

[49]  D. V. Dorp,et al.  Seed dispersal capacity of six perennial grassland species measured in a wind tunnel at varying wind speed and height , 1996 .

[50]  Mark C Andersen,et al.  DIASPORE MORPHOLOGY AND SEED DISPERSAL IN SEVERAL WIND-DISPERSED ASTERACEAE. , 1993, American journal of botany.

[51]  D. Baldocchi,et al.  Turbulence in an almond orchard: Vertical variations in turbulent statistics , 1987 .

[52]  Ran Nathan,et al.  Spatiotemporal variation in seed dispersal and recruitment near and far from Pinus halepensis trees. , 2000 .

[53]  E. S. Pearson,et al.  Tests for departure from normality: Comparison of powers , 1977 .

[54]  M. Willson Dispersal mode, seed shadows, and colonization patterns , 1993 .

[55]  J. Connell On the role of the natural enemies in preventing competitive exclusion in some marine animals and in rain forest trees , 1971 .

[56]  Hajime Sato,et al.  Estimation of overlapping seed shadows in a northern mixed forest , 1998 .

[57]  D. Greene,et al.  Fruit abscission in Acer saccharinum with reference to seed dispersal , 1992 .

[58]  J. Harper Population Biology of Plants , 1979 .

[59]  H. Haenel Surface-layer profile evaluation using a generalization of Robinson's method for the determination ofd andz0 , 1993 .

[60]  Dr. Leendert van der Pijl Principles of Dispersal in Higher Plants , 1983, Springer Berlin Heidelberg.

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

[62]  Edward J. Rykiel,et al.  Testing ecological models: the meaning of validation , 1996 .

[63]  C W McCutchen,et al.  The Spinning Rotation of Ash and Tulip Tree Samaras , 1977, Science.

[64]  Stephen P. Ellner,et al.  Coexistence of plant species with similar niches , 1984, Vegetatio.

[65]  J. Bart Acceptance Criteria for Using Individual‐Based Models to Make Management Decisions , 1995 .

[66]  Jon Wiernga Representative roughness parameters for homogeneous terrain , 1993 .

[67]  G. Matlack DIASPORE SIZE, SHAPE, AND FALL BEHAVIOR IN WIND-DISPERSED PLANT SPECIES1 , 1987 .

[68]  D. Greene,et al.  Wind Dispersal of Seeds from a Forest Into a Clearing , 1995 .

[69]  David M. Richardson,et al.  Pines of the Mediterranean Basin , 1998 .

[70]  Jeanne C. Chambers,et al.  A Day in the Life of a Seed: Movements and Fates of Seeds and Their Implications for Natural and Managed Systems , 1994 .

[71]  Yuan Ji,et al.  Fecundity and Dispersal in Plant Populations: Implications for Structure and Diversity , 1995, The American Naturalist.

[72]  Daniel Wallach,et al.  Mean squared error of prediction as a criterion for evaluating and comparing system models , 1989 .

[73]  James S. Clark,et al.  Why Trees Migrate So Fast: Confronting Theory with Dispersal Biology and the Paleorecord , 1998, The American Naturalist.

[74]  Lung-fei Lee,et al.  Tests for the Bivariate Normal Distribution in Econometric Models with Selectivity , 1984 .

[75]  David G. Mayer,et al.  Regression of real-world data on model output: An appropriate overall test of validity , 1994 .

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

[77]  L. Isaac Seed Flight in the Douglas Fir Region , 1930 .

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

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

[80]  D. E. Fields,et al.  Modeling seed dispersal and forest island dynamics. , 1981 .

[81]  A. Ōkubo,et al.  Di?usion and ecological problems: mathematical models , 1980 .

[82]  R. Iman,et al.  The Use of the Rank Transform in Regression , 1979 .

[83]  Christine A. Shoemaker,et al.  Mathematical Approaches to Problems in Resource Management and Epidemiology , 1989 .

[84]  J. Grace,et al.  Wind and Trees: Tree physiological responses , 1995 .

[85]  N Oreskes,et al.  Verification, Validation, and Confirmation of Numerical Models in the Earth Sciences , 1994, Science.

[86]  Eugene W. Schupp,et al.  Spatial patterns of seed dispersal and the unification of plant population ecology , 1995 .

[87]  M. Andersen Mechanistic Models for the Seed Shadows of Wind-Dispersed Plants , 1991, The American Naturalist.