Abstract
Context
Landscape ecology was founded on the idea that there is a reciprocal relationship between spatial pattern and ecological processes. I provide a retrospective look at how the state-of-the-art of landscape pattern analysis has changed since 1998.
Objectives
My objective is to show how pattern analysis techniques have evolved and identify some of the key lessons learned.
Results
The state-of-the-art in 1998 was derived from information theory, fractal geometry, percolation theory, hierarchy theory and graph theory, relying heavily on the island-patch conceptual model using categorical maps, although point-data analysis methods were actively being explored. We have gradually winnowed down the list of fundamental components of spatial pattern, and have clarified the appropriate and inappropriate use of landscape metrics for research and application. We have learned to let the objectives choose the metric, guided by the scale and nature of the ecological process of interest. The use of alternatives to the binary patch model (such as gradient analysis) shows great promise to advance landscape ecological knowledge.
Conclusions
The patch paradigm is often of limited usefulness, and other ways to represent the pattern of landscape properties may reveal deeper insights. The field continues to advance as illustrated by papers in this special issue.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Albanese G, Haukos DA (2017) A network model framework for prioritizing wetland conservation in the Great Plains. Landscape Ecol 32:115–130
Arnot C, Fisher PF, Wadsworth R, Wellens J (2004) Landscape metrics with ecotones: pattern under uncertainty. Landscape Ecol 19:181–195
Baldwin DJB, Weaver K, Schnekenburger F, Perera AH (2004) Sensitivity of landscape pattern indices to input data characteristics on real landscapes: implications for their use in natural disturbance emulation. Landscape Ecol 19:255–271
Bormann F, Likens G (1979) Catastrophic disturbance and the steady state in northern hardwood forests: a new look at the role of disturbance in the development of forest ecosystems suggests important implications for land-use policies. Am Sci 67:660–669
Brown GG, Reed P (2012) Social landscape metrics: measures for understanding place values from public participation geographic information systems (PPGIS). Landsc Res 37:73–90
Burrough PA (1981) Fractal dimensions of landscapes and other environmental data. Nature 294:240–242
Burrough PA (1995) Spatial aspects of ecological data. In: Jongman RHG, ter Braak CJF, van Tongeren OFR (eds) Data analysis in community and landscape ecology. Cambridge University Press, Cambridge, pp 213–251
Chambers JM (2008) Software for data analysis: programming with R. Springer, New York
Compton BW, McGarigal K, Cushman SA, Gamble LR (2007) A resistant-kernel model of connectivity for amphibians that breed in vernal pools. Conserv Biol 21:788–799
Cushman SA (2016) Calculating the configurational entropy of a landscape mosaic. Landsc Ecol 31:481–489
Cushman SA, Gutzweiler K, Evans JS, McGarigal K (2010) The gradient paradigm: a conceptual and analytical framework for landscape ecology. In: Cushman SA, Huettmann F (eds) Spatial complexity, informatics, and wildlife conservation. Springer, Heidelberg, pp 83–108
Cushman SA, McGarigal K, Neel MC (2008) Parsimony in landscape metrics: strength, universality, and consistency. Ecol Indic 8:691–703
De Vreese R, Lays R, Fontaine CM, Dendoncker N (2016) Social mapping of perceived ecosystem services supply–the role of social landscape metrics and social hotspots for integrated ecosystem services assessment, landscape planning and management. Ecol Indic 66:517–533
Evans JS, Cushman SA (2009) Gradient modeling of conifer species using random forests. Landsc Ecol 24:673–683
Fahrig L (2013) Rethinking patch size and isolation effects: the habitat amount hypothesis. J Biogeogr 40:1649–1663
Fahrig L (2017) Ecological responses to habitat fragmentation per se. Annu Rev Ecol Evol Syst 48:1–23
Fortin MJ, Boots B, Csillag F, Remmel TK (2003) On the role of spatial stochastic models in understanding landscape indices in ecology. Oikos 102:203–212
Frazier A, Kedron P (2017) Landscape metrics: past progress and future directions. Curr Landsc Ecol Rep. https://doi.org/10.1007/s40823-017-0026-0
Gao P, Li Z (in review) Computation of the Boltzmann entropy of a landscape pattern: the state of the art. Landscape Ecol
Gardner RH (1999) RULE: a program for the generation of random maps and the analysis of spatial patterns. In: Klopatek JM, Gardner RH (eds) Landscape ecological analysis: issues and applications. Springer, New York, pp 280–303
Gardner RH, Milne BJ, Turner MG, O’Neill RV (1987) Neutral models for the analysis of broad-scale landscape pattern. Landscape Ecol 1:19–28
Gardner RH, Urban DL (2007) Neutral models for testing landscape hypotheses. Landscape Ecol 22:15–29
Gustafson EJ (1998) Quantifying landscape spatial pattern: what is the state of the art? Ecosys 1:143–156
Gustafson EJ, Gardner RH (1996) The effect of landscape heterogeneity on the probability of patch colonization. Ecology 77:94–107
Gustafson EJ, Parker GR (1992) Relationship between landcover proportion and indices of landscape spatial pattern. Landscape Ecol 7:101–110
He HS, DeZonia BE, Mladenoff DJ (2000) An aggregation index (AI) to quantify spatial patterns of landscapes. Landscape Ecol 15:591–601
Johnson AR, Wiens JA, Milne BT, Crist TO (1992) Animal movements and population dynamics in heterogeneous landscapes. Landscape Ecol 7:63–75
Kashian DM, Sosin JR, Huber PW, Tucker MM, Dombrowski J (2017) A neutral modeling approach for designing spatially heterogeneous jack pine plantations in northern Lower Michigan, USA. Landscape Ecol 32:1117–1131
Kedron P, Zhao Y, Frazier A (in review) 3D volumetrics for spatial pattern analysis of landscape structure. Landscape Ecol
Keitt TH, Urban DL, Milne BT (1997) Detecting critical scales in fragmented landscapes. Conserv Ecol 1, article 4. www.consecol.org/vol1/iss1/art4
Kindlmann P, Burel F (2008) Connectivity measures: a review. Landscape Ecol 23:879–890
Knaapen JP, Scheffer M, Harms B (1992) Estimating habitat isolation in landscape planning. Landsc Urban Plann 23:1–16
Krummel J, Gardner R, Sugihara G, O’Neill R, Coleman P (1987) Landscape patterns in a disturbed environment. Oikos 48:321–324
Kupfer JA (2012) Landscape ecology and biogeography: rethinking landscape metrics in a post-FRAGSTATS landscape. Prog Phys Geogr 36:400–420
Lausch A, Blaschke T, Haase D, Herzog F, Syrbe R-W, Tischendorf L, Walz U (2015) Understanding and quantifying landscape structure—a review on relevant process characteristics, data models and landscape metrics. Ecol Model 295:31–41
Legendre P, Fortin M-J (1989) Spatial pattern and ecological analysis. Vegetatio 80:107–138
Levin SA (1992) The problem of pattern and scale in ecology: the Robert H. MacArthur Award Lecture. Ecology 73:1943–1967
Levins R (1966) The strategy of model building in population biology. Am Sci 54:421–431
Li H, Reynolds JF (1993) A new contagion index to quantify spatial patterns of landscapes. Landsc Ecol 8:155–162
Li H, Reynolds JF (1994) A simulation experiment to quantify spatial heterogeneity in categorical maps. Ecology 75:2446–2455
Li H, Reynolds JF (1995) On definition and quantification of heterogeneity. Oikos 73:280–284
Li H, Wu J (2004) Use and misuse of landscape indices. Landscape Ecol 19:389–399
Loehle C (1983) The fractal dimension and ecology. Specul Sci Technol 6:131–142
McGarigal K, Cushman SA (2005) The gradient concept of landscape structure. In: Wiens JA, Moss MR (eds) Issues and perspectives in landscape ecology. Cambridge University Press, Cambridge, pp 112–119
McGarigal K, Marks BJ (1995) FRAGSTATS: spatial pattern analysis program for quantifying landscape structure. Gen. Tech. Rep. PNW-GTR-351. U.S. Department of Agriculture, Forest Service, Pacific Northwest Research Station, Portland, OR
McGarigal K, McComb WC (1995) Relationships between landscape structure and breeding birds in the Oregon Coast Range. Ecol Monogr 65:235–260
McGarigal K, Wan HY, Zeller KA, Timm BC, Cushman SA (2016) Multi-scale habitat selection modeling: a review and outlook. Landscape Ecol 31:1161–1175
McIntyre NE, Wiens JA (2000) A novel use of lacunarity index to discern landscape function. Landscape Ecol 15:313–321
McLane AJ, Semeniuk C, McDermid GJ, Marceau DJ (2011) The role of agent-based models in wildlife ecology and management. Ecol Model 222:1544–1556
McRae BH, Dickson BG, Keitt TH, Shah VB (2008) Using circuit theory to model connectivity in ecology, evolution, and conservation. Ecol 89:2712–2724
Milne BT (1988) Measuring the fractal geometry of landscapes. Appl Math Comput 27:67–79
Milne BT (1992) Spatial aggregation and neutral models in fractal landscapes. Am Nat 139:32–57
Nowosad J, Stepinski TF (in review) Information-theoretical approach to measuring landscape complexity. Landscape Ecol
O’Neill RV (1989) Perspectives in hierarchy and scale. In: Roughgarden J, May RM, Levin SA (eds) Perspectives in ecological theory. Princeton University Press, Princeton, NJ, pp 140–156
O’Neill RV, DeAngelis DL, Allen TFH, Waide JB (1986) A hierarchical concept of ecosystems. Monographs in population biology 23. Princeton University Press, Princeton, NJ
O’Neill RV, Krummel J, Gardner R, Sugihara G, Jackson B, DeAngelis DL, Milne BT, Turner MG, Zygmunt B, Christensen SW, Dale VH, Graham RL (1988) Indices of landscape pattern. Landscape Ecol 1:153–162
O’Neill RV, Gardner RH, Turner MG (1992) A hierarchical neutral model for landscape analysis. Landscape Ecol 7:55–61
O’Neill RV, Hunsaker CT, Timmins SP, Jackson BL, Jones KB, Riitters KH, Wickham JD (1996) Scale problems in reporting landscape pattern at the regional scale. Landscape Ecol 11:169–180. https://doi.org/10.1007/BF02447515
Pauli BP, McCann NP, Zollner PA, Cummings R, Gilbert JH, Gustafson EJ (2013) SEARCH: spatially explicit animal response to composition of habitat. PLoS ONE 8(5):e64656
Peterman W, Winiarski K, da Silva Carvalho C, Moore C, Gilbert A, Spear S (in review). Understanding how landscape features affect gene flow: advances in resistance surface optimization for landscape genetic studies. Landscape Ecol
Plotnick RE, Gardner RH, O’Neill RV (1993) Lacunarity indices as measures of landscape texture. Landscape Ecol 8:201–211
Remmel TK, Fortin M-J (2013) Categorical class map patterns: characterization and comparison. Landscape Ecol 28:1587–1599
Riitters K (in review) Revisiting the fundamental components of landscape pattern. Landscape Ecol
Riitters KH (2005) Downscaling indicators of forest habitat structure from national assessments. Ecol Indic 5:273–279
Riitters KH, O’Neill RV, Hunsaker CT, Wickham JD, Yankee DH, Timmins SP, Jones KB, Jackson BL (1995) A factor analysis of landscape pattern and structure metrics. Landscape Ecol 10:23–39
Riitters KH, O’Neill RV, Wickham JD, Jones KB (1996) A note on contagion indices for landscape analysis. Landscape Ecol 11:197–202
Riitters K, Wickham J, O’Neill R, Jones KB, Smith ER, Coulston JW, Wade TG, Smith JH (2002) Fragmentation of continental United States forests. Ecosystems 5:815–822
Scheiner M (1992) Measuring pattern diversity. Ecology 73:1860–1867
Schumaker NH (1996) Using landscape indices to predict habitat connectivity. Ecology 77:1210–1225
Shannon C, Weaver W (1949) The mathematical theory of communication. University of Illinois Press, Urbana
Shelberg MC, Moellering H, Lam N (1982) Measuring the fractal dimensions of empirical cartographic curves. In: Proceedings of 5th international symposium on computer-assisted cartography, vol 5, pp 481–490
Shirk AJ, Landguth EL, Cushman SA (2018) A comparison of regression methods for model selection in individual-based landscape genetic analysis. Mol Ecol Resour 18:55–67
Šímová P, Gdulová K (2012) Landscape indices behavior: a review of scale effects. Appl Geogr 34:385–394
Simpson EH (1949) Measurement of diversity. Nature 163:688
Trzcinski MK, Fahrig L, Merriam G (1999) Independent effects of forest cover and fragmentation on the distribution of forest breeding birds. Ecol Appl 9:586–593
Turner MG (1989) Landscape ecology: the effect of pattern on process. Annu Rev Ecol Syst 20:171–197
Turner MG (1990) Spatial and temporal analysis of landscape patterns. Landscape Ecol 4:21–30
Turner MG (2005) Landscape ecology: what is the state of the science? Annu Rev Ecol Evol Syst 36:319–344
Urban D, Keitt T (2001) Landscape connectivity: a graph-theoretic perspective. Ecology 82:1205–1218
Urban DL, O’Neill RV, Shugart HH (1987) Landscape ecology. Bioscience 37:119–127
USDA Forest Service (2016) Future of America’s forests and rangelands: update to the 2010 Resources Planning Act Assessment. Gen. Tech. Report WO-GTR-94. Washington, DC
Vogt P, Ferrari JR, Lookingbill TR, Gardner RH, Riitters KH, Ostapowicz K (2009) Mapping functional connectivity. Ecol Indic 9:64–71
Wiens JA (1989) Spatial scaling in ecology. Funct Ecol 3:385–397
With K, King A (1997) The use and misuse of neutral landscape models in ecology. Oikos 79:219–229
With KA, King AW (1999) Dispersal success on fractal landscapes: a consequence of lacunarity thresholds. Landscape Ecol 14:73–82
Wu JG (2004) Effects of changing scale on landscape pattern analysis: scaling relations. Landscape Ecol 19:125–138
Wu JG, Shen WJ, Sun WZ, Tueller PT (2002) Empirical patterns of the effects of changing scale on landscape metrics. Landscape Ecol 17:761–782
Zurlini G, Riitters KH, Zaccarelli N, Petrosillo I (2007) Patterns of disturbance at multiple scales in real and simulated landscapes. Landscape Ecol 22:705–721
Acknowledgements
I thank Kurt Riitters, Marie-Josée Fortin, Nancy McIntyre and an anonymous reviewer for critical reviews of earlier drafts of the manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gustafson, E.J. How has the state-of-the-art for quantification of landscape pattern advanced in the twenty-first century?. Landscape Ecol 34, 2065–2072 (2019). https://doi.org/10.1007/s10980-018-0709-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10980-018-0709-x