{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:37:34Z","timestamp":1761489454246,"version":"build-2065373602"},"reference-count":61,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2014,9,29]],"date-time":"2014-09-29T00:00:00Z","timestamp":1411948800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>We propose a procedure to detect significant changes in forest spatial patterns and relevant scales. Our approach consists of four sequential steps. First, based on a series of multi-temporal forest maps, a set of geographic windows of increasing extents are extracted. Second, for each extent and date, specific stochastic simulations that replicate real-world spatial pattern characteristics are run. Third, by computing pattern metrics on both simulated and real maps, their empirical distributions and confidence intervals are derived. Finally, multi-temporal scalograms are built for each metric. Based on cover maps (1954, 2011) with a resolution of 10 m we analyze forest pattern changes in a central Apennines (Italy) reserve at multiple spatial extents (128, 256 and 512 pixels). We identify three types of multi-temporal scalograms, depending on pattern metric behaviors, describing different dynamics of natural reforestation process. The statistical distribution and variability of pattern metrics at multiple extents offers a new and powerful tool to detect forest variations over time. Similar procedures can (i) help to identify significant changes in spatial patterns and provide the bases to relate them to landscape processes;  (ii) minimize the bias when comparing pattern metrics at a single extent and (iii) be extended to other landscapes and scales.<\/jats:p>","DOI":"10.3390\/rs6109298","type":"journal-article","created":{"date-parts":[[2014,9,29]],"date-time":"2014-09-29T11:16:45Z","timestamp":1411989405000},"page":"9298-9315","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Quantifying Forest Spatial Pattern Trends at Multiple Extents: An Approach to Detect Significant Changes at Different Scales"],"prefix":"10.3390","volume":"6","author":[{"given":"Ludovico","family":"Frate","sequence":"first","affiliation":[{"name":"Envix-Lab, Department of Biosciences and Territory (DiBT), University of Molise,  c.da Fonte Lappone 86090 Pesche, IS, Italy"}]},{"given":"Santiago","family":"Saura","sequence":"additional","affiliation":[{"name":"ETSI Montes, Technical University of Madrid, Ciudad Universitaria, s\/n 28040, Madrid, Spain"}]},{"given":"Michele","family":"Minotti","sequence":"additional","affiliation":[{"name":"Natural Resources and Environmental Planning, Department of Biosciences and Territory (DiBT), University of Molise, c.da Fonte Lappone 86090 Pesche, IS, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8853-7520","authenticated-orcid":false,"given":"Paolo","family":"Di Martino","sequence":"additional","affiliation":[{"name":"Natural Resources and Environmental Planning, Department of Biosciences and Territory (DiBT), University of Molise, c.da Fonte Lappone 86090 Pesche, IS, Italy"}]},{"given":"Carmen","family":"Giancola","sequence":"additional","affiliation":[{"name":"Global Ecology Lab, Department of Biosciences and Territory (DiBT), University of Molise,  c.da Fonte Lappone 86090 Pesche, IS, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5753-890X","authenticated-orcid":false,"given":"Maria","family":"Carranza","sequence":"additional","affiliation":[{"name":"Envix-Lab, Department of Biosciences and Territory (DiBT), University of Molise,  c.da Fonte Lappone 86090 Pesche, IS, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2014,9,29]]},"reference":[{"unstructured":"(2012). 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Chang"},{"unstructured":"Turner, M.G., Gardner, R.H., and O\u2019Neill, R.V. (2001). Landscape Ecology in Theory and Practice, Springer.","key":"ref_5"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2090","DOI":"10.1139\/x11-123","article-title":"Quantifying bias in pattern indices extracted from spatially offset landscape samples","volume":"41","author":"Castilla","year":"2011","journal-title":"Can. J. For. Res"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/j.apgeog.2012.01.003","article-title":"Landscape indices behaviour: A review of scale effects","volume":"34","year":"2012","journal-title":"Appl. Geogr"},{"doi-asserted-by":"crossref","unstructured":"Wu, J., and Hobbs, R.J. (2007). Key Topics in Landscape Ecology, Cambridge University Press.","key":"ref_8","DOI":"10.1017\/CBO9780511618581"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1587","DOI":"10.1007\/s10980-013-9905-x","article-title":"Categorical, class-focused map patterns: Characterization and comparison","volume":"28","author":"Remmel","year":"2013","journal-title":"Landsc. Ecol"},{"unstructured":"O\u2019Neill, R.V., DeAngelis, D.L., Waide, J.B., and Allen, T.F.H. (1986). A Hierarchical Concept of Ecosystems, Princeton University Press.","key":"ref_10"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"119","DOI":"10.2307\/1310366","article-title":"Landscape ecology: A hierarchical perspective can help scientists understand spatial patterns","volume":"37","author":"Urban","year":"1987","journal-title":"BioScience"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1080\/07038992.1999.10874736","article-title":"Hierarchy and scaling: Extrapolating information along a scaling ladder","volume":"25","author":"Wu","year":"1999","journal-title":"Can. J. Remote Sens"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/j.ecocom.2005.11.002","article-title":"Disturbance patterns in a socio-ecological system at multiple scales","volume":"3","author":"Zurlini","year":"2006","journal-title":"Ecol. Complex"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2490","DOI":"10.1016\/j.foreco.2009.09.005","article-title":"Use of simulated and real data to identify heterogeneity domains in scale-divergent forest landscapes","volume":"258","year":"2009","journal-title":"For. Ecol. Manag"},{"doi-asserted-by":"crossref","unstructured":"Wu, J., Jones, K.B., Li, H., and Loucks, O.L. (2006). Scaling and Uncertain Analysis in Ecology: Methods and Applications, Spinger.","key":"ref_15","DOI":"10.1007\/1-4020-4663-4"},{"key":"ref_16","first-page":"1027","article-title":"Sensitivity of lanscape pattern metrics to map spatial extent","volume":"67","author":"Saura","year":"2001","journal-title":"Photogramm. Eng. Remote Sens"},{"doi-asserted-by":"crossref","unstructured":"Wulder, M.A., and Franklin, S.E. (2007). Understanding Forest Disturbance and Spatial Pattern: Remote Sensing and GIS Approaches, Taylor and Francis.","key":"ref_17","DOI":"10.1201\/9781420005189"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/BF00131534","article-title":"Effects of changing spatial scale on the analysis of landscape pattern","volume":"3","author":"Turner","year":"1989","journal-title":"Landsc. Ecol"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/BF02447515","article-title":"Scale problems in reporting landscape pattern at the regional scale","volume":"11","author":"Hunsaker","year":"1996","journal-title":"Landsc. Ecol"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1023\/A:1022995922992","article-title":"Empirical patterns of the effects of changing scale on landscape metrics","volume":"17","author":"Wu","year":"2002","journal-title":"Landsc. 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Ecol"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1111\/j.0906-7590.2004.03799.x","article-title":"Evaluating empirical scaling realtions of pattern metrics with simulated landscapes","volume":"27","author":"Shen","year":"2004","journal-title":"Ecography"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1354","DOI":"10.1016\/j.foreco.2010.01.048","article-title":"Natural reforestation is changing spatial patterns of rural mountain and hill landscapes: A global overview","volume":"259","author":"Sitzia","year":"2010","journal-title":"For. Ecol. Manag"},{"key":"ref_25","first-page":"6","article-title":"Multiscale analysis of landscape heterogeneity: Scale variance and pattern metrics","volume":"6","author":"Wu","year":"2000","journal-title":"Geogr. Inf. Sci"},{"doi-asserted-by":"crossref","unstructured":"Wu, J., and Hobbs, R.J. (2007). Key Topics in Landscape Ecology, Cambridge University Press.","key":"ref_26","DOI":"10.1017\/CBO9780511618581"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s10109-006-0018-9","article-title":"Categorical maps, comparisons, and confidence","volume":"8","author":"Boots","year":"2006","journal-title":"J. Geogr. Syst"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1023\/A:1008193015770","article-title":"Spectral representation of neutral landscapes","volume":"15","author":"Keitt","year":"2000","journal-title":"Landsc. Ecol"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1034\/j.1600-0706.2003.12447.x","article-title":"On the role of spatial stochastic models in understanding landscape indices in ecology","volume":"102","author":"Fortin","year":"2003","journal-title":"Oikos"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1007\/s10109-003-0116-x","article-title":"When are two landscape pattern indices significantly different?","volume":"5","author":"Remmel","year":"2003","journal-title":"J. Geogr. Syst"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"94","DOI":"10.3390\/ijgi2010094","article-title":"Quantifying landscape-scale patterns of temperate forests over time by means of neutral simulation models","volume":"2","author":"Frate","year":"2013","journal-title":"Int. J. Geo-Inf"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1023\/A:1008107902848","article-title":"Landscape patterns simulation with a modified random cluster methods","volume":"15","author":"Saura","year":"2000","journal-title":"Landsc. Ecol"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/j.landurbplan.2003.10.037","article-title":"Evaluating the effectiveness of neutral landscape models to represent a real landscape","volume":"69","author":"Li","year":"2004","journal-title":"Landsc. Urban Plan"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/j.landurbplan.2005.02.008","article-title":"Landscape change and the dynamics of open formations in a natural reserve","volume":"77","author":"Rocchini","year":"2006","journal-title":"Landsc. Urban Plan"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/j.landurbplan.2009.12.001","article-title":"Landscape metrics and topographical determinants of large-scale forest dynamics in a Mediterranean landscape","volume":"95","author":"Geri","year":"2010","journal-title":"Landsc. Urban Plan"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1007\/s10661-005-4332-3","article-title":"Landscape change and ecosystem classification in a municipal district of a small city (Isernia, Central Italy)","volume":"108","author":"Acosta","year":"2005","journal-title":"Environ. Monit. Assess"},{"unstructured":"Blasi, C. (2003). La Vegetazione d\u2019Italia, Palombi Editore.","key":"ref_37"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"165","DOI":"10.2307\/1478945","article-title":"Potential natural vegetation: Validity and applicability in landscape planning and nature conservation","volume":"1","author":"Zerbe","year":"1998","journal-title":"Appl. Veg. Sci"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1111\/j.1654-109X.2002.tb00557.x","article-title":"Are potential natural vegetation distribution a meaningful alternative to neutral landscape models?","volume":"5","author":"Ricotta","year":"2002","journal-title":"Appl. Veg. Sci"},{"unstructured":"Azevedo, J.C., Perera, A.H., and Pinto, M.A. (2008). Forest Landscape and Global Change: Challenges for Research and Management, Springer Science + Business Media.","key":"ref_40"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1177\/030913339602000403","article-title":"Quantifying landscape structure: A review of landscape indices and their application to forested landscapes","volume":"20","author":"Chopping","year":"1996","journal-title":"Prog. Phys. Geogr"},{"unstructured":"McGarigal, K., Cushman, S., and Reagan, C. (2005). Quantifying Terrestrial Habitat Loss and Fragmentation: A Protocol, USDA, Rocky Mountain Region. USDA General Technical Report.","key":"ref_42"},{"unstructured":"FRAGSTATS v4. Spatial Pattern Analysis Program for Categorical and Continuous Maps, 2012. Available online: http:\/\/www.umass.edu\/landeco\/research\/fragstats\/fragstats.html.","key":"ref_43"},{"doi-asserted-by":"crossref","unstructured":"McGarigal, K., and Marks, B.J. (1995). FRAGSTATS: Spatial Pattern Analysis Program for Quantifying Landscape Structure, USDA, Forest Service, Pacific Northwest Research Station. General Technical Report PNW-GTR-351.","key":"ref_44","DOI":"10.2737\/PNW-GTR-351"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/BF02275262","article-title":"Neutral models for the analysis of broad-scale landscape pattern","volume":"1","author":"Gardner","year":"1987","journal-title":"Landsc. Ecol"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/s10980-006-9011-4","article-title":"Neutral models for testing landscape hypotheses","volume":"22","author":"Gardner","year":"2007","journal-title":"Landscape Ecol"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/BF00125347","article-title":"A new contagion index to quantify spatial patterns of landscapes","volume":"8","author":"Li","year":"1993","journal-title":"Landsc. Ecol"},{"unstructured":"El-Shaarawi, A.H., and Piegorsch, W.W. (2012). Encyclopedia of Environmetrics, Wiley. [2nd ed.].","key":"ref_48"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"107","DOI":"10.3102\/10769986006002107","article-title":"Distribution theory for Glass\u2019s estimator of effect size and related estimators","volume":"6","author":"Hedges","year":"1981","journal-title":"J. Educ. Behav. Statist"},{"unstructured":"Available online: http:\/\/www.R-project.org\/.","key":"ref_50"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"905","DOI":"10.3758\/s13428-013-0330-5","article-title":"BootES: An R package for bootstrap confidence intervals on effect sizes","volume":"45","author":"Kirby","year":"2013","journal-title":"Behav. Res. Methods"},{"doi-asserted-by":"crossref","unstructured":"Gergel, S.E., and Turner, M.G. (2002). Learning Landscape Ecology: A Practical Guides to Concepts and Techniques, Springer-Verlag.","key":"ref_52","DOI":"10.1007\/b97339"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.landurbplan.2011.09.005","article-title":"Land-cover changes in a remote area of central Apennines (Italy) and management directions","volume":"104","author":"Bracchetti","year":"2012","journal-title":"Landsc. Urban Plan"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1023\/B:LAND.0000030521.19856.cb","article-title":"Behavior of class-level landscape metrics across gradients of class aggregation and area","volume":"19","author":"Neel","year":"2004","journal-title":"Landsc. Ecol"},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1016\/j.apgeog.2009.12.002","article-title":"Characterizing forest fragmentation: Distinguish change in composition and configuration","volume":"30","author":"Long","year":"2010","journal-title":"Appl. Geogr"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1023\/B:LAND.0000030441.15628.d6","article-title":"Use and misuse of landscape indices","volume":"19","author":"Li","year":"2004","journal-title":"Landsc. Ecol"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1023\/A:1026033116193","article-title":"Effects of land-cover change on spatial pattern of forest communities in the Southern Appalachian Mountains (USA)","volume":"18","author":"Turner","year":"2003","journal-title":"Landsc. Ecol"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"805","DOI":"10.14358\/PERS.69.7.805","article-title":"Settlement design, forest fragmentation, and landscape change in Rondonia, Amazonia","volume":"69","author":"Batistella","year":"2003","journal-title":"Photogramm. Eng. Remote Sens"},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1016\/j.landurbplan.2007.04.003","article-title":"Impact of spatial scale on the identification of critical habitat patches for the maintenance of landscape connectivity","volume":"83","author":"Saura","year":"2007","journal-title":"Landsc. Urban Plan"},{"doi-asserted-by":"crossref","unstructured":"Diaz-Varela, E.R., Marey-P\u00e9rez, M.F., Rigueiro-Rodriguez, A., and \u00c1lvarez-\u00c1lvarez, P. (2009). Landscape metrics for characterization of forest landscapes in a sustainable management framework: Potential application and prevention of misuse. Ann. For. Sci, 66.","key":"ref_60","DOI":"10.1051\/forest\/2009004"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"1410","DOI":"10.1016\/j.rse.2008.05.023","article-title":"Spatial pattern analysis for monitoring protected areas","volume":"113","author":"Townsend","year":"2009","journal-title":"Remote Sens. 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