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Ecosystems and Spatial Patterns

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Ecological Systems

Abstract

Ecological processes such as forest disturbances act on ecosystems at multiple spatial and temporal scales to generate complex spatial patterns. These patterns in turn influence ecosystem dynamics and have important consequences for ecosystem sustainability. Analysis of ecosystem spatial structure is a first step toward understanding these dynamics and the uncertain interactions among processes. There are many spatial statistics available to describe and test spatial pattern within ecosystems and to infer the character of the processes that generated them. Indeed, improving understanding of the processes that create spatial pattern is a central objective of spatial pattern analysis. In addition to standard tests of spatial autocorrelation and patch structure, methods for multi-scale decomposition of spatial data and identification of stationarity are necessary to determine the key spatial scales at which the processes operate and affect ecosystems and to identify meaningful spatial subunits within larger contexts. Finally, tools for identifying ecosystem boundaries are also important to monitor boundary movement and changes in local ecosystem characteristics through time.

This chapter was originally published as part of the Encyclopedia of Sustainability Science and Technology edited by Robert A. Meyers. DOI:10.1007/978-1-4419-0851-3

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Abbreviations

Disturbance:

A spatial process or event that reverts forest vegetation to early successional stages typically altering forest structure and composition.

Ecotone:

A region of interface between two communities, ecosystems, or biogeographic regions.

Legacy:

A persisting spatial feature or pattern that was generated by a historical disturbance. Legacies can constrain the spatial dynamics of contemporary disturbances.

Multi-scale analysis:

A method of spatial analysis that looks at the relative contributions of different scales of spatial pattern to a single observed spatial pattern.

Pattern:

A repeatable and identifiable feature in a spatial context.

Scale:

An attribute of a spatial process or data used to represent that process that describes its spatial dimensions. Scale includes elements of grain, extent, and thematic resolution.

Spatial autocorrelation:

The degree of correlation of a variable and itself as a function of the spatial distances among sample points.

Stationarity:

A feature of a spatial process in which the mean and variance of a process is consistent across the extent of a study area.

Variography:

A geostatistical modeling tool for describing spatial variance and semivariance as a function of spatial distance among pairs of points.

Bibliography

Primary Literature

  1. Lindenmayer DB, Fischer J (2006) Habitat fragmentation and landscape change. Island Press, Washington, DC

    Google Scholar 

  2. Loreau M, Naeem S, Inchausti P et al (2001) Biodiversity and ecosystem functioning: current knowledge and future challenges. Science 294:804–808

    PubMed  CAS  Google Scholar 

  3. Lindenmayer DB, Franklin JF (2002) Conserving forest biodiversity. A comprehensive multiscaled approach. Island Press, London

    Google Scholar 

  4. Epperson BK (2003) Geographical genetics. Princeton University Press, Princeton

    Google Scholar 

  5. Wagner HH, Fortin M-J (2005) Spatial analysis of landscapes: concepts and statistics. Ecology 86:1975–1987

    Google Scholar 

  6. Dungan JL, Perry JN, Dale MRT et al (2002) A balanced view of scale in spatial statistical analysis. Ecography 25:626–640

    Google Scholar 

  7. Fortin M-J, Dale MRT (2005) Spatial analysis. Cambridge University Press, Cambridge

    Google Scholar 

  8. McIntire EJB, Fajardo A (2009) Beyond description: the active and effective way to infer processes from spatial patterns. Ecology 90:46–56

    PubMed  Google Scholar 

  9. Fortin M-J, Boots B, Csillag F, Remmel TK (2003) On the role of spatial stochastic models in understanding landscape indices in ecology. Oikos 102:203–212

    Google Scholar 

  10. Wiens JA (1989) Spatial scaling in ecology. Funct Ecol 3:385–397

    Google Scholar 

  11. Levin SA (1992) The problem of pattern and scale in ecology. Ecology 73:1943–1967

    Google Scholar 

  12. Flannigan MD, Stocks BJ, Turetsky MR, Wotton BM (2008) Impact of climate change on fire activity and fire management in the circumboreal forest. Global Change Biol 14:1–12

    Google Scholar 

  13. McRae BH, Beier P (2007) Circuit theory predicts gene flow in plant and animal populations. Proc Natl Acad Sci USA 104:19885–19890

    PubMed  CAS  Google Scholar 

  14. Veblen TT, Hadley KS, Nel EM et al (1994) Disturbance regime and disturbance interactions in a Rocky Mountain subalpine forest. J Ecol 82:125–135

    Google Scholar 

  15. Radeloff VC, Mladenoff DJ, Boyce MS (2000) Effects of interacting disturbances on landscape patterns: Budworm defoliation and salvage logging. Ecol Appl 10:233–247

    Google Scholar 

  16. Levin SA (2000) Multiple scales and the maintenance of biodiversity. Ecosystems 3:498–506

    Google Scholar 

  17. Cooke BJ, Nealis VG, Regniere J (2007) Insect defoliators as periodic disturbances in northern forest ecosystems. In: Johnson EA, Miyanishi K (eds) Plant disturbance ecology: the process and the response. Elsevier, Amsterdam, pp 1–10

    Google Scholar 

  18. James PMA, Fortin M-J, Fall A, Kneeshaw D, Messier C (2007) The effects of spatial legacies following shifting management practices and fire on boreal forest age structure. Ecosystems 10:1261–1277

    Google Scholar 

  19. Fahrig L (2003) Effects of habitat fragmentation on biodiversity. Ann Rev Ecol Evol Syst 34:487–515

    Google Scholar 

  20. Stadler B, Müller T, Orwig D, Cobb R (2005) Hemlock woolly adelgid in New England forests: canopy impacts transforming ecosystem processes and landscapes. Ecosystems 8:233–247

    Google Scholar 

  21. Jasinski JPP, Payette S (2005) The creation of alternative stable states in the southern boreal forest, Quebec, Canada. Ecol Monogr 75:561–583

    Google Scholar 

  22. MacLean DA, Erdle TA, MacKinnon WE et al (2001) The spruce budworm decision support system: forest protection planning to sustain long-term wood supply. Can J Forest Res 31:1742–1757

    Google Scholar 

  23. Franklin JF, Forman RTT (1987) Creating landscape patterns by forest cutting: Ecological consequences and principles. Landscape Ecol 1:5–18

    Google Scholar 

  24. Fall A, Fortin M-J, Kneeshaw DD et al (2004) Consequences of various landscape-scale ecosystem management strategies and fire cycles on age-class structure and harvest in boreal forests. Can J Forest Res 34:310–322

    Google Scholar 

  25. Greene DF, Gauthier S, Noe J, Rousseau M, Bergeron Y (2006) A field experiment to determine the effect of post-fire salvage on seedbeds and tree regeneration. Front Ecol Environ 4:69–74

    Google Scholar 

  26. Watt AS (1947) Pattern and process in the plant community. J Ecol 25:1–22

    Google Scholar 

  27. Turner MG (1989) Landscape ecology: the effect of pattern on process. Ann Rev Ecol Evol Syst 20:171–197

    Google Scholar 

  28. Bergeron Y, Leduc A, Harvey BD, Gauthier S (2002) Natural fire regime: a guide for sustainable management of the Canadian boreal forest. Silva Fenn 36:81–95

    Google Scholar 

  29. Boulanger Y, Arseneault D (2004) Spruce budworm outbreaks in eastern Quebec over the last 450 years. Can J Forest Res 34:1035–1043

    Google Scholar 

  30. Schroeder D, Perera AH (2002) A comparison of large-scale spatial vegetation patterns following clearcuts and fires in Ontario’s boreal forests. Forest Ecol Manage 159:217–230

    Google Scholar 

  31. Baskerville GL (1975) Spruce budworm: super silviculturist. Forestry Chron 51:138–140

    Google Scholar 

  32. Turner MG (1993) A revised concept of landscape equilibrium: disturbance and stability on scaled landscapes. Landscape Ecol 8:213–227

    Google Scholar 

  33. Peters DPC, Pielke RA, Bestelmeyer BT et al (2004) Cross-scale interactions, nonlinearities, and forecasting catastrophic events. Proc Natl Acad Sci 101:15130–15135

    PubMed  CAS  Google Scholar 

  34. Raffa KF, Aukema BH, Bentz BJ et al (2008) Cross-scale drivers of natural disturbances prone to anthropogenic amplification: the dynamics of bark beetle eruptions. Bioscience 58:501–517

    Google Scholar 

  35. Peterson GD (2002) Contagious disturbance, ecological memory, and the emergence of landscape pattern. Ecosystems 5:329–338

    Google Scholar 

  36. Kohm KA, Franklin JF (1997) Creating a forestry for the 21st century. Island Press, Washinton, DC

    Google Scholar 

  37. Foster DR, Knight DH, Franklin JF (1998) Landscape patterns and legacies resulting from large, infrequent forest disturbances. Ecosystems 1:497–510

    Google Scholar 

  38. Wallin DO, Swanson FJ, Marks B (1994) Landscape pattern response to changes in pattern generation rules: land-use legacies in forestry. Ecol Appl 4:569–580

    Google Scholar 

  39. Tang SM, Franklin JF, Montgomery DR (1997) Forest harvest patterns and landscape disturbance processes. Landscape Ecol 12:349–363

    Google Scholar 

  40. McIntire EJB (2004) Understanding natural disturbance boundary formation using spatial data and path analysis. Ecology 85:1993–1943

    Google Scholar 

  41. Dupouey JL, Dambrine E, Lafitte JD, Moares C (2002) Irreversible impact of past land use on forest soils and biodiversity. Ecology 83:2978–2984

    Google Scholar 

  42. Gustafson EJ (1996) Expanding the scale of forest management: allocating timber harvests in time and space. Forest Ecol Manage 87:27–39

    Google Scholar 

  43. Gustafson EJ, Rasmussen LV (2002) Assessing the spatial implications of interactions among strategic forest management options using a Windows-based harvest simulator. Comput Electron Agric 33:179–196

    Google Scholar 

  44. Paine RT, Tegner MJ, Johnson EA (1998) Compounded perturbations yield ecological surprises. Ecosystems 1:535–545

    Google Scholar 

  45. Folke C, Carpenter S, Walker B et al (2004) Regime shifts, resilience, and biodiversity in ecosystem management. Ann Rev Ecol Evol Syst 35:557–581

    Google Scholar 

  46. Schröder A, Persson L, De Roos AM (2005) Direct experimental evidence for alternative stable states: a review. Oikos 110:3–19

    Google Scholar 

  47. Wagner H (2004) Direct multi-scale ordination with canonical correspondence analysis. Ecology 85:342–351

    Google Scholar 

  48. Borcard D, Legendre P, Avois-Jacquet C, Tuomisto H (2004) Dissecting the spatial structure of ecological data at multiple scales. Ecology 85:1826–1832

    Google Scholar 

  49. Keitt TH, Urban DL (2005) Scale-specific inference using wavelets. Ecology 86:2497–2504

    Google Scholar 

  50. Andrén H (1994) Effects of habitat fragmentation on birds and mammals in landscapes with different proportions of suitable habitat – a review. Oikos 71:355–366

    Google Scholar 

  51. Gardner RH, Milne BT, Turnei MG, O'Neill RV (1987) Neutral models for the analysis of broad-scale landscape pattern. Landscape Ecol 1:19–28

    Google Scholar 

  52. O'Brien D, Manseau M, Fall A, Fortin M-J (2006) Testing the importance of spatial configuration of winter habitat for woodland caribou: An application of graph theory. Biol Conserv 130:70–83

    Google Scholar 

  53. Bélisle M, Desrochers A, Fortin M-J (2001) Influence of forest cover on the movements of forest birds: a homing experiment. Ecology 82:1893–1904

    Google Scholar 

  54. Fahrig L, Merriam G (1985) Habitat patch connectivity and population survival. Ecology 66:1762–1768

    Google Scholar 

  55. Bohonak AJ (1999) Dispersal, gene flow, and population structure. Q Rev Biol 74:21–45

    PubMed  CAS  Google Scholar 

  56. Dale MRT, Dixon P, Fortin M-J et al (2002) Conceptual and mathematical relationships among methods for spatial analysis. Ecography 25:558–577

    Google Scholar 

  57. Gustafason EJ (1998) Quantifying landscape spatial pattern: what is state of the art? Ecosystems 1:143–156

    Google Scholar 

  58. Cushman SA, McGarigal K (2008) Landscape metrics, scales of resolution. In: von Gadow K, Pukkala T (eds) Designing green landscapes. Springer, New York, pp 33–52

    Google Scholar 

  59. Cressie NA (1993) Statistics for spatial data. Wiley, New York

    Google Scholar 

  60. Burrough PA, McDonnell RA (1998) Principles of geographical information systems. Oxford University Press, Oxford

    Google Scholar 

  61. Candau J-N, Fleming R (2005) Landscape-scale spatial distribution of spruce budworm defoliation in relation to bioclimatic conditions. Can J Forest Res 35:2218–2232

    Google Scholar 

  62. Wolter PT, White MA (2002) Recent forest cover type transitions and landscape structural changes in northeast Minnesota, USA. Landscape Ecol 17:133–155

    Google Scholar 

  63. Didion M, Fortin M-J, Fall A (2007) Forest age structure as indicator of boreal forest sustainability under alternative management and fire regimes: a landscape level sensitivity analysis. Ecol Model 200:45–58

    Google Scholar 

  64. Townsend PA, Foster JR, Chastain RA, Currie WS (2003) Application of imaging spectroscopy to mapping canopy nitrogen in the forests of the central Appalachian mountains using Hyperion and AVIRIS. IEEE Trans Geosci Remote Sens 41:1347–1354

    Google Scholar 

  65. Wotton BM, Martell DL (2005) A lightning fire occurrence model for Ontario. Can J Forest Res 35:1389–1401

    Google Scholar 

  66. Legendre P, Fortin M-J (1989) Spatial pattern and ecological analysis. Vegetatio 80:107–138

    Google Scholar 

  67. Dale MRT (1999) Spatial pattern analysis in plant ecology. Cambridge University Press, Cambridge

    Google Scholar 

  68. Illian J, Penttinen A, Stoyan H, Stoyan D (2008) Statistical analysis and modelling of spatial point patterns. Wiley-Interscience, Chichester

    Google Scholar 

  69. Baddeley AJ, Moller J, Waagepetersen R (2000) Non-and semi-parametric estimation of interaction in inhomogeneous point patterns. Statistica Neerlandica 54:329–350

    Google Scholar 

  70. Wiegand T, Moloney KA (2004) Rings, circles and null-models for point pattern analysis in ecology. Oikos 104:209–229

    Google Scholar 

  71. Fortin M-J, Dale MRT, Bertazzon S (2010) Spatial analysis of wildlife distribution and disease spread. In: Huettmann F, Cushman SA (eds) Spatial complexity, informatics, and wildlife conservation. Springer, New York, pp 255–273

    Google Scholar 

  72. Ripley BD (1976) The second order analysis of stationary point processes. J Appl Probab 13:255–266

    Google Scholar 

  73. Lynch HJ, Moorcroft PR (2008) A spatiotemporal Ripley's K-function to analyze interactions between spruce budworm and fire in British Columbia, Canada. Can J Forest Res 38:3112–3119

    Google Scholar 

  74. James PMA, Fleming RA, Fortin M-J (2010) Identifying significant scale-specific spatial boundaries using wavelets and null models: spruce budworm defoliation in Ontario, Canada as a case study. Landscape Ecol 25:873–887

    Google Scholar 

  75. Holling CS (1992) Cross-scale morphology, geometry, and dynamics of ecosystems. Ecol Monogr 62:447–502

    Google Scholar 

  76. Gardner RH (1998) Pattern, Process, and the Analysis of Spatial Scales. In: Peterson DL, Parker VT (eds) Ecological scale. Columbia University Press, New York, pp 17–34

    Google Scholar 

  77. Saunders SC, Chen J, Drummer TD et al (2002) The patch mosaic and ecological decomposition across spatial scales in a managed landscape of northern Wisconsin, USA. Basic Appl Ecol 3:49–64

    Google Scholar 

  78. Holling CS (1973) Resilience and stability of ecological systems. Ann Rev Ecol Evol Syst 4:1–23

    Google Scholar 

  79. Allen TFH, Hoeskstra TW (1992) Toward a unified ecology. Columbia University Press, New York

    Google Scholar 

  80. O'Neill RV, Krummel JR, Gardner RH et al (1988) Indices of landscape pattern. Landscape Ecol 1:153–162

    Google Scholar 

  81. Csillag F, Kabos S (2002) Wavelets, boundaries, and the spatial analysis of landscape pattern. Ecoscience 9:177–190

    Google Scholar 

  82. Keitt TH (2000) Spectral representation of neutral landscapes. Landscape Ecol 15:479–494

    Google Scholar 

  83. Saunders SC, Brosofske KD, Chen J, Drummer TD, Gustafson EJ (2005) Identifying scales of pattern in ecological data: a comparison of lacunarity, spectral and wavelet analyses. Ecol Complex 2:87–105

    Google Scholar 

  84. Dale MRT, Mah M (1998) The use of wavelets for spatial pattern analysis in ecology. J Veg Sci 9:805–814

    Google Scholar 

  85. Borcard D, Legendre P (2002) All-scale spatial analysis of ecological data by means of principal coordinates of neighbour matrices. Ecol Model 153:51–68

    Google Scholar 

  86. Anselin L (1995) Local indicators of spatial association - LISA. Geogr Anal 27:93–115

    Google Scholar 

  87. Bradshaw RHW, Spies T (1992) Characterizing canopy gap structure in forests using wavelet analysis. J Ecol 80:205–215

    Google Scholar 

  88. Mallat S (1999) A wavelet tour of signal processing. Academic, New York

    Google Scholar 

  89. Keitt TH, Urban DL (2005) Scale-specific inference using wavelets. Ecology 86:2497–2504

    Google Scholar 

  90. Daubechies I (1992) Ten lectures on wavelets. SIAM, Philadelphia

    Google Scholar 

  91. Torrence C, Compo GP (1998) A practical guide to wavelet analysis. Bull Am Meteor Soc 79:61–78

    Google Scholar 

  92. Grenfell BT, Bjørnstad ON, Kappey J (2001) Travelling waves and spatial hierarchies in measles epidemics. Nature 414:716–723

    PubMed  CAS  Google Scholar 

  93. Cazelles B, Chavez M, De Magny GC, Guegan JF, Hales S (2007) Time-dependent spectral analysis of epidemiological time-series with wavelets. J R Soc Interface 4(15):625–636

    PubMed  CAS  Google Scholar 

  94. Falkowski MJ, Smith AMS, Hudak AT et al (2006) Automated estimation of individual conifer tree height and crown diameter via two-dimensional spatial wavelet analysis of lidar data. Can J Remote Sensing 32:153–161

    Google Scholar 

  95. Dray S, Legendre P, Peres-Neto PR (2006) Spatial modeling: a comprehensive framework for principal coordinate analysis of neighbor matrices (PCNM). Ecol Model 196:483–493

    Google Scholar 

  96. Griffith DA, Peres-Neto PR (2006) Spatial modelling in ecology: the flexibility of eigenfunction spatial analyses. Ecology 87:2603–2613

    PubMed  Google Scholar 

  97. Jombart T, Dray S, Dufour AB (2009) Finding essential scales of spatial variation in ecological data: a multivariate approach. Ecography 32:161–168

    Google Scholar 

  98. Jacquez GM, Maruca S, Fortin M-J (2000) From fields to objects: a review of geographic boundary analysis. J Geograph Syst 2:221–241

    Google Scholar 

  99. Fortin M-J, Drapeau P (1995) Delineation of ecological boundaries: comparison of approaches and significance tests. Oikos 72:323–332

    Google Scholar 

  100. Fortin M-J, Keitt TH, Maurer B et al (2005) Species ranges and distributional limits: pattern analysis and statistical issues. Oikos 108:7–17

    Google Scholar 

  101. McIntire EJB, Fortin M-J (2006) Structure and function of wildfire and mountain pine bettle forest boundaries. Ecography 29:309–318

    Google Scholar 

  102. Fortin M-J (1994) Edge detection algorithms for two-dimensional ecological data. Ecology 75:956–965

    Google Scholar 

  103. Oden NL, Sokal RR, Fortin M-J, Goebl H (1993) Categorical wombling: detecting regions of significant change in spatially located categorical variables. Geogr Anal 25:315–336

    Google Scholar 

  104. Fortin MJ, Drapeau P, Jacquez GM (1996) Quantification of the spatial co-occurrences of ecological boundaries. Oikos 77:51–60

    Google Scholar 

  105. St-Louis V, Fortin M-J, Desrochers A (2004) Association between microhabitat and territory boundaries of two forest songbirds. Landscape Ecol 19:591–601

    Google Scholar 

  106. Sadahiro Y, Umemura M (2002) A computational approach for the analysis of changes in polygon distributions. J Geograph Syst 3:137–154

    Google Scholar 

  107. Peters DPC, Bestelmeyer BT, Turner MG (2007) Cross-scale interactions and changing pattern-process relationships: consequences for system dynamics. Ecosystems 10:790–796

    Google Scholar 

  108. Hastie T, Tibshirani R, Friedman J (2009) The elements of statistical learning: data mining, inference, and prediction, 2nd edn. Springer, New York

    Google Scholar 

  109. Percival and Walden (2000) Wavelet methods for time series analysis. Cambridge, Cambridge University Press

    Google Scholar 

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Acknowledgments

This work was funded by a Killam Postdoctoral fellowship at the University of Alberta to PMAJ and an NSERC Discovery grant to MJF.

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Correspondence to Patrick M. A. James .

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James, P.M.A., Fortin, MJ. (2013). Ecosystems and Spatial Patterns. In: Leemans, R. (eds) Ecological Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5755-8_7

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