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Fragmentation revisited
The use of landscape metrics:
Definitions, concepts,
calculation and interpretation
Niels Chr. Nielsen, SDU-Esbjerg, Denmark
nichni@mail.dk
Alan Blackburn, Lancaster University
alan.blackburn@lancaster.ac.uk
Fragmentation in landscapes
- Low or diminishing forest cover (Mayaux et al)
- Breaking up of habitat (Forman)
- Landscape transformation (Kouki & Lofman)
- Loss of connectivity (Delbaere & Gulinck)
- Presence of isolated patches (Skole & Tucker)
- Perforation (Riitters and Coulston)
along with other forest patterns: patch, transitional, edge, interior (core)
Definitions of Fragmentation
However, is it always or necessarily harmful ?
Equally important (harmfull) as habitat loss ?
Increasing fragmentation
Habitatloss
Ecological impact of fragmentation
Process and/or pattern
Fragmented state Land Cover
Fragmentation process
(agents, decisions,
information)
Land Cover Change
(rate, locations)
Feedback possible –
though not necessarily
Feedback: Cellular models,
GIS with supplementary
information
LANDSCAPE
Remote Sensing, mappingProperty (observed)
DRIVES
SEEN IN
SCALE?
Cell size?
MMU?
Choice of spatial metrics
..the ideal shape index should :
From Forman (1995)
• be easy to calculate,
• unambiguously and quantitatively differentiate
between different shapes, and finally
• permit the shape to be drawn based on
knowledge of the index number alone
•work over the whole domain of interest,
4
1SqP
Edge
A* forest
−=
)*(#
PPU
sizepixelpixels
NP
=
M
forestwindow A*A
Edge
10*=
Moving Windows approach
Map 1: Window (user choice): Map 2:
Grain = pixel size = 30m Size (extent) = 9 pixels = 270 m Grain = pixel size = 90 m
Extent = 30*30 pix = 900*900 m Step = 3 pixels = 90 m Extent = 8*8 pixels = 720*720 m
• As implemented with calculation of Fragstats-derived
and other spatial metrics for “sub-landscapes”
INPUT: “cover type” map(1) OUTPUT: metrics/index value map(2)
DeterminesApplied to
equals
1 2 3 4 5
Calculate
(e.g.)
Patch type
Richness
Metrics maps
Analysis of results
Various types of scale-dependence and plots/diagrams
quantifying and illustrating it :
Tools for selection of most robust and representative metrics of fragmentation
1. Response of metrics to window – or pixel – size (scalograms)
2. Variability and autocorrelation of metric, with changing window
size: plots (”variograms”)
3. Relationships between different metrics, with changing window
size: scattergrams (single), tables (multiple window sizes)
4. Relationships between same metric derived from different data
sources: scattergrams (single), correlograms (multiple window
sizes)
- If single shape index required, use Matheron index
- Count or density of background patches
(perforating forest), also as alternative to Lacunarity
measures
- Window sizes around 5 km acceptable for regional
monitoring (pixel sizes 100–200 m)
- Patch count metrics are highly sensitive to
grain/pixel size
- If possible normalise, and compensate for
window-size effects
Recommendations from
study of metrics behaviour
Forest concentration – calculation flow
Cover fraction Masking (criteria)
1
scapeCover_land
Cover_mask
FC win
win −=
FC20 = 0.086257
FC10 = 0.156578
FC5 = 0.226093
Forest concentration profile –
combined for 50*50 km study area
Forest concentration profiles
Italian regions
Forest concentration profiles
Watersheds in North and Middle Italy
Management uses – statistical
description of fragmentation
• Overview of (differences in) landscape structure
Recommendataions for..
• Monitoring temporal changes in points or regions
• Overcoming/bypassing the MAUP by being multi-
scalar and with the region of calculation being
user-chosen (F.C. profiles as well as average
metrics values)
• Meeting the need for indicators of sustainable
forest and landscape management?
• Targets – threshold values ??
Management uses – local display
M-index
Cover
fraction
PPU
Red
Green
Blue
Central Umbria
50*50 km, 25 m pixels
Landsat TM
June 1996
Management uses – regional display
Northern Italy
700*500 km,
200m pixels
Classified WiFS
Mosaic 1997
M-index
Cover
fraction
PPU
Conclusions 1
- The “moving-windows” approach has made it possible
to calculate metrics values throughout the study areas
and to visualise and statistically analyse regional
differences.
- Limiting to the use of spatial metrics as indicators is
the quality of the input data, i.e. maps or satellite
images. Often a higher thematic resolution than what is
normally available from LUC data is needed for
meaningful comparisons for assessment of forest and
nature/habitat diversity. It was however found that
binary forest-non-forest maps constitute a sufficient
input for analysis of forest fragmentation.
- Spatial metrics have the potential to function as
indicators of landscape structure and diversity. Forest
Concentration profiles facilitates comparison of regions.
- Which specific metrics to use for a particular
environmental assessment will depend on the
management objectives for the landscape, forest or
nature area of interest.
- ToDos: Test, sensitivity analysis. Neutral Landscapes,
agent based approaches..
Conclusions 2

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Fragmentation revisited 050902

  • 1. Fragmentation revisited The use of landscape metrics: Definitions, concepts, calculation and interpretation Niels Chr. Nielsen, SDU-Esbjerg, Denmark nichni@mail.dk Alan Blackburn, Lancaster University alan.blackburn@lancaster.ac.uk
  • 3. - Low or diminishing forest cover (Mayaux et al) - Breaking up of habitat (Forman) - Landscape transformation (Kouki & Lofman) - Loss of connectivity (Delbaere & Gulinck) - Presence of isolated patches (Skole & Tucker) - Perforation (Riitters and Coulston) along with other forest patterns: patch, transitional, edge, interior (core) Definitions of Fragmentation However, is it always or necessarily harmful ? Equally important (harmfull) as habitat loss ?
  • 5. Process and/or pattern Fragmented state Land Cover Fragmentation process (agents, decisions, information) Land Cover Change (rate, locations) Feedback possible – though not necessarily Feedback: Cellular models, GIS with supplementary information LANDSCAPE Remote Sensing, mappingProperty (observed) DRIVES SEEN IN SCALE? Cell size? MMU?
  • 6. Choice of spatial metrics ..the ideal shape index should : From Forman (1995) • be easy to calculate, • unambiguously and quantitatively differentiate between different shapes, and finally • permit the shape to be drawn based on knowledge of the index number alone •work over the whole domain of interest, 4 1SqP Edge A* forest −= )*(# PPU sizepixelpixels NP = M forestwindow A*A Edge 10*=
  • 7. Moving Windows approach Map 1: Window (user choice): Map 2: Grain = pixel size = 30m Size (extent) = 9 pixels = 270 m Grain = pixel size = 90 m Extent = 30*30 pix = 900*900 m Step = 3 pixels = 90 m Extent = 8*8 pixels = 720*720 m • As implemented with calculation of Fragstats-derived and other spatial metrics for “sub-landscapes” INPUT: “cover type” map(1) OUTPUT: metrics/index value map(2) DeterminesApplied to equals 1 2 3 4 5 Calculate (e.g.) Patch type Richness
  • 9. Analysis of results Various types of scale-dependence and plots/diagrams quantifying and illustrating it : Tools for selection of most robust and representative metrics of fragmentation 1. Response of metrics to window – or pixel – size (scalograms) 2. Variability and autocorrelation of metric, with changing window size: plots (”variograms”) 3. Relationships between different metrics, with changing window size: scattergrams (single), tables (multiple window sizes) 4. Relationships between same metric derived from different data sources: scattergrams (single), correlograms (multiple window sizes)
  • 10. - If single shape index required, use Matheron index - Count or density of background patches (perforating forest), also as alternative to Lacunarity measures - Window sizes around 5 km acceptable for regional monitoring (pixel sizes 100–200 m) - Patch count metrics are highly sensitive to grain/pixel size - If possible normalise, and compensate for window-size effects Recommendations from study of metrics behaviour
  • 11. Forest concentration – calculation flow Cover fraction Masking (criteria) 1 scapeCover_land Cover_mask FC win win −= FC20 = 0.086257 FC10 = 0.156578 FC5 = 0.226093
  • 12. Forest concentration profile – combined for 50*50 km study area
  • 14. Forest concentration profiles Watersheds in North and Middle Italy
  • 15. Management uses – statistical description of fragmentation • Overview of (differences in) landscape structure Recommendataions for.. • Monitoring temporal changes in points or regions • Overcoming/bypassing the MAUP by being multi- scalar and with the region of calculation being user-chosen (F.C. profiles as well as average metrics values) • Meeting the need for indicators of sustainable forest and landscape management? • Targets – threshold values ??
  • 16. Management uses – local display M-index Cover fraction PPU Red Green Blue Central Umbria 50*50 km, 25 m pixels Landsat TM June 1996
  • 17. Management uses – regional display Northern Italy 700*500 km, 200m pixels Classified WiFS Mosaic 1997 M-index Cover fraction PPU
  • 18. Conclusions 1 - The “moving-windows” approach has made it possible to calculate metrics values throughout the study areas and to visualise and statistically analyse regional differences. - Limiting to the use of spatial metrics as indicators is the quality of the input data, i.e. maps or satellite images. Often a higher thematic resolution than what is normally available from LUC data is needed for meaningful comparisons for assessment of forest and nature/habitat diversity. It was however found that binary forest-non-forest maps constitute a sufficient input for analysis of forest fragmentation.
  • 19. - Spatial metrics have the potential to function as indicators of landscape structure and diversity. Forest Concentration profiles facilitates comparison of regions. - Which specific metrics to use for a particular environmental assessment will depend on the management objectives for the landscape, forest or nature area of interest. - ToDos: Test, sensitivity analysis. Neutral Landscapes, agent based approaches.. Conclusions 2

Editor's Notes

  • #3: Motorway project in central Jutland, Denmark, though sensitive area with lakes and mixed forest Deforestation in Cote d’Ivoire, West Africa (fra http://www.grid.unep.ch/activities/global_change/cote_ivoire.php)
  • #6: Semantic network of concepts: Fragmentation typically referring to landscapes, seen from synoptic perspective. Connectivity typically referring to single patch or landscape element, organism persepctive (as in agent-based modelling: random walks etc.) Still a challenge to link the two!!
  • #7: Delibarately NOT chosen fractal dimension, following recent literature and own experiences.
  • #10: In a previous study, like in most of the examples found in the literature, focus was on changing pixel sizes Ideally for a fragmentation metric, 1. Should be low,or at least predictable, 2 show high var., 3 be the same at all win-sizes, and 4 show good agreement (high correlation)
  • #12: From satellite image (WiFS) to forest-non-forest map, with M-W analysis to cover fraction maps, To forest-presence maps (masks), both with different window sizes TO BE ANIMATED!!
  • #16: To be modified…
  • #18: OBS.Histogram Equlisation of RGB-comb!!!
  • #19: From this talk as well as from the project leading to my thesis… Ad point (1), multiple window sizes should not only be used in the search for the ”best” window size. Such a thing may never be identified, having values from different window sizes and presenting them informatively could be useful in comparison and communication of landscape structure. I will not draw any conclusions on the state-of-the-art in current research, just say that new interesting approaches are being tried out at various spatial scales and various levels of implementation