Landscape Ecology Part 1 - Individual responses to landscape structure: habitat selection Terms/people: Habitat Fretwell & Lucas Bea Van Horne use vs. availability ideal free distribution despotic distribution But first...what is habitat? Habitat selection • habitat use vs. habitat availability (but more commonly is habitat occupation vs. availability) • habitat use may be assessed directly (e.g. observations or counts) or indirectly (e.g. tracks, scats) • habitat availability (p) quantified with less certainty • assumption: preferred (and hence selected) habitat will be of higher quality (suitability) than non-selected habitat ("non-habitat") • null hypothesis (no selection, habitats used in proportion to their availability): most time spent will be in most abundant/widespread habitat type • selection usually assessed statistically via a chi-square test with 95% confidence intervals calculated using a Bonferroni z statistic (see Neu et al. 1974, Sparks et al. 1994): if O and E overlap within the 95% CI, then no selection (click here for an example) Requires independent observations (usually individuals are the replicates, but this may not be good if your animals are social and travel in packs, going where the pack leader dictates: in this case the pack and not the individuals is the replicate). Best statistical power if number of observations per category is > 5 and there are > 5 categories. But there are lots of alternative analytical/statistical methods, none of which is the clear best to use. The two papers by Alldredge and Ratti give excellent overviews. • is a hierarchical process in space and time (see Johnson 1980) • selection criteria may differ at different scales, making prediction difficult/impossible across scales: e.g. McIntyre 1997 (discussed in class) Two alternative mechanisms of how organisms select habitat: Ideal Free Distribution and Despotic Distribution Ideal Free Distribution (IFD) • Fretwell & Lucas (1970, Acta Biotheoretica 19:16-36) • organisms are "ideal" in their judgement of habitat quality • organisms are "free" to move from habitat to habitat in their quest for the best (click here) • therefore, organism density is a good predictor of habitat quality (best habitat = where more organisms are) But note the assumptions of the IFD: • organisms are omniscient • organisms do not exclude each other from high-quality habitats Alternative to the IFD: Despotic Distribution (DD) • Fretwell (1972, Populations in a Seasonal Environment, Princeton University Press) • Van Horne (1983, Journal of Wildlife Management 47:893-901) • dominant organisms ("despots") are able to exclude subordinates, resulting in a negative correlation (inverse relationship) between organism density and habitat quality The bottom line To assess habitat selection, you need data on habitat use and habitat availability. Given that it is difficult to translate among scales, one needs to collect data at multiple scales (or confine one’s conclusions to only the scale measured). Even with these data, without having information about the social system of a species, you will not know whether density is a good indicator of habitat quality and therefore will not be able to assess habitat selection accurately. References: Alldredge, J.R., and J.T. Ratti. 1986. Comparison of some statistical techniques for analysis of resource selection. J. Wildl. Manage. 50:157-165. Alldredge, J.R., and J.T. Ratti. 1992. Further comparison of some statistical techniques for analysis of resource selection. J. Wildl. Manage. 56:1-9. Fretwell, S.D. 1972. Populations in a Seasonal Environment. Princeton University Press, Princeton, NJ. Fretwell, S.D., and H.L. Lucas. 1970. On territorial behaviour and other factors influencing habitat distribution in birds. Acta Biotheoretica 19:16-36. Garshelis, D.L. 2000. Delusions in habitat evaluation: measuring use, selection, and importance. Pp. 111-164 in: Research Techniques in Animal Ecology: Controversies and Consequences (L. Boitani and T.K. Fuller, eds.). Columbia University Press, New York, NY. Johnson, D.H. 1980. The comparison of usage and availability measurements for evaluating resource preference. Ecology 61:65-71. McClean, S.A., M.A. Rumble, R.M. King, and W.L. Baker. 1998. Evaluation of resource selection methods with different definitions of availability. J. Wildl. Manage. 62:793801. McIntyre, N.E. 1997. Scale-dependent habitat selection by the darkling beetle Eleodes hispilabris (Coleoptera: Tenebrionidae). American Midland Naturalist 138:230-235. Neu, C.W., C.R. Byers, and J.M. Peek. 1974. A technique for analysis of utilizationavailability data. J. Wildl. Manage. 38:541-545. Sparks, E.J., J.R. Belthoff, and G. Ritchison. 1994. Habitat use by Eastern Screech-Owls in central Kentucky. J. Field Ornith. 65:83-95. Van Horne, B. 1983. Density as a misleading indicator of habitat quality. Journal of Wildlife Management 47:893-901. Part 2 - Individual responses to landscape structure: movement patterns Terms/people: movement (vs. dispersal vs. migration) random walk/correlated random walk cluster) movement rules (rules of adjacency) percolation spanning cluster (percolating pcrit Why is studying movement important to landscape ecology? Movement is a critically important phenomenon. It is what allows habitat selection to occur, it helps prevent extinction, and it permits gene flow. It therefore determines the abundance and distribution of organisms. A movement path is also a physical record of how an organism interacts with its environment. Therefore, studying movement allows us to quantify how spatial environmental patterns affect organism behaviors. Movement paths provide us with insights about organism-environment relationships. Terminology "movement," "dispersal," and "migration" are not true synonyms How do we quantify and study movement? In landscape ecology, we are most interested in how spatial environmental patterns affect movement behaviors. We therefore need some way of assessing how organisms move through a landscape (and we also need a neutral model as a frame of reference). “scale matching” There are many ways to study movement. One common way is to develop a null model that consists of a random walk. In a random walk, movement follows an algorithm for passive diffusion (whereby an organism behaves as though it were an atom floating through the environment, without any directionality). For slightly more realism, a correlated random walk may be adopted (which allows more directionality). Both of these null models, however, assume that the environment is basically a porous medium without structure. This is obviously unrealistic. One way we can improve on this is by using percolation models, which are forms of random walks planted atop a landscape of a given pattern. Percolation -developed by mathematicians in the 1950s to describe movement of particles (see Broadbent and Hammersley (1956), Proc. Camb. Phil. Soc. 53:629-641) -applied in the physical sciences to study flow in porous media (see R. Zallen (1983), The Physics of Amorphous Solids. Wiley, New York) -applied to LE by Gardner and others in 1980s (see Gardner et al. (1987), Landscape Ecol. 1:19-28) How to make a percolation map (a type of neutral landscape model): -start with a regular grid of cells (e.g. pixels, raster-based GIS) -this array is sometimes called a lattice (esp. in math/physics) -each cell (pixel) has a probability, p, of being "occupied" by a given habitat type -probability of being unoccupied is 1-p -define clusters of occupied cells -different rules of adjacency (e.g. whether to include diagonals, leapfrogging) -if a cluster of occupied cells reaches from one side of the map to another, it is called a spanning cluster and the map (actually the organism on the map) is said to percolate Properties of percolation maps: for large maps (lots of cells), there is a sharp transition from a fragmented (nonpercolating) to a connected (percolating) landscape -this is an example of a critical threshold (pcrit) -for a square grid with only 4 nearest neighbors (ignore diagonals), the threshold is 0.5928 -value of pcrit varies depending on the lattice and adjacency rules ( 8- and 12-cell rules have pcrit < 0.5928) -mean patch size and size of largest patch increase dramatically around the critical threshold -amount of edge is max at p=0.5 -as p increases, the path thru the landscape becomes more linear Implications for movement (of animals, materials, contagious catastrophes, etc.) Recall that larger animals or animals with greater vagility interact with the landscape at a different grain than do smaller/less mobile organisms. Therefore, an organism-centered viewpoint is crucial. References: Crist, T.O., D.S. Guertin, J.A. Wiens, and B.T. Milne. 1992. Animal movement in heterogeneous landscapes: An experiment with Eleodes beetles in shortgrass prairie. Funct. Ecol. 6:536-544. Gardner, R.H., R.V. O’Neill, M.G. Turner, and V.H. Dale. 1989. Quantifying scaledependent effects of animal movements with simple percolation models. Landscape Ecol. 3:217-227. Johnson, A.R., J.A. Wiens, B.T. Milne, and T.O. Crist. 1992. Animal movements and population dynamics in heterogeneous landscapes. Landscape Ecology 7:63-75. McIntyre, N.E. 1997. Scale-dependent habitat selection by the darkling beetle Eleodes hispilabris (Coleoptera: Tenebrionidae). American Midland Naturalist 138:230-235. Turchin, P. 1998. Quantitative Analysis of Movement: Measuring and Modeling Population Redistribution in Animals and Plants. Sinauer, Sunderland, MA. Schultz, C.B., and E.E. Crone. 2001. Edge-mediated dispersal behavior in a prairie butterfly. Ecology 82:1879-1892. Stauffer, D. 1985. Introduction to Percolation Theory. Taylor and Francis, London. Szacki, J., and A. Liro. 1991. Movements of small mammals in the heterogeneous landscape. Landscape Ecology 5:219-224. Wiens, J.A., and B.T. Milne. 1989. Scaling of 'landscapes' in landscape ecology, or, landscape ecology from a beetle's perspective. Landscape Ecology 3:87-96. With, K.A. 1994. Using fractal analysis to assess how species perceive landscape structure. Landscape Ecology 9:25-36.