The DOI matches its Crossref record.
The Geometry of Ecological Interactions: Simplifying Spatial Complexity
Abstract
The field of theoretical ecology has expanded dramatically in the last few years. This volume gives detailed coverage of the main developing areas in spatial ecological theory, and is written by world experts in the field. Integrating the perspective from field ecology with novel methods for simplifying spatial complexity, it offers a didactical treatment with a gradual increase in mathematical sophistication from beginning to end. In addition, the volume features introductions to those fundamental phenomena in spatial ecology where emerging spatial patterns influence ecological outcomes quantitatively. An appreciation of the consequences of this is required if ecological theory is to move on in the 21st century. Written for reseachers and graduate students in theoretical, evolutionary and spatial ecology, applied mathematics and spatial statistics, it will be seen as a ground breaking treatment of modern spatial ecological theory.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“The growing family of the Metabolically Coupled Replicator System (MCRS) models offer a chemically and ecologically feasible spatial mechanism for the robust maintenance of a metabolically active set of different ribozymes attached to mineral surfaces”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [33]
In the citing paper
“Unlike the mean-field version, the stochastic (lattice) implementation of the spatially explicit MCRS model keeps all the metabolic replicators coexistent and shows robust ecological stability (Figure 9) [33,36,37].”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [33]
In the citing paper
“The MCRS models have shown robust ecological stability against changing the replicator degradation rates (which correspond to environmental perturbations), by applying both sequence-length-dependent and -independent decay rates [33,36].”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [33]
Citations
Cites
Still being checked.
Cited by
Sorted by citations
Items 201–300 of 359
Forest modelling and visualisation – state of the art and perspectives
Fabrika, M., Valent, P., & Merganičová, K. (2019) · Central European Forestry Journal · doi:10.2478/forj-2019-0018 · Cited by 13
Maximal gene number maintainable by stochastic correction – The second error threshold
Hubai, A. G., & Kun, Á. (2016) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2016.02.007 · Cited by 12
Influence of aggregation on benthic coral reef spatio-temporal dynamics
Brito-Millán, M., Werner, B. T., Sandin, S. A., & McNamara, D. E. (2019) · Royal Society Open Science · doi:10.1098/rsos.181703 · Cited by 12
A Bayesian Solution to the Modifiable Areal Unit Problem
Hui, C. (2009) · Studies in computational intelligence · doi:10.1007/978-3-642-01533-5_7 · Cited by 12
Liu, Z., Li, Z.-Q., Dong, M., Nijs, I., Bogaert, J., & El-Bana, M. (2007) · Applied Vegetation Science · doi:10.1658/1402-2001(2007)10[139:ssabaf]2.0.co;2 · Cited by 13
Simulating the origins of life: The dual role of RNA replicases as an obstacle to evolution
Szostak, N., Synak, J., Borowski, M., Wasik, S., & Blazewicz, J. (2017) · PLOS ONE · doi:10.1371/journal.pone.0180827 · Cited by 12
Leclerc, M., Walker, E., Messéan, A., & Soubeyrand, S. (2017) · The Science of The Total Environment · doi:10.1016/j.scitotenv.2017.11.329 · Cited by 12
The Ecology of Crop-Weed Interactions
Maxwell, B. D., & Luschei, E. C. (2004) · Journal of Crop Improvement · doi:10.1300/j411v11n01_07 · Cited by 12
Fisher waves and front roughening in a two-species invasion model with preemptive competition
O’Malley, L., Kozma, B., Korniss, G., Ràcz, Z., & Caraco, T. B. (2006) · Physical Review E · doi:10.1103/physreve.74.041116 · Cited by 12
Fort, H., & Inchausti, P. (2013) · PLoS ONE · doi:10.1371/journal.pone.0082768 · Cited by 11
Preemptive spatial competition under a reproduction–mortality constraint
Allstadt, A. J., Caraco, T. B., & Korniss, G. (2009) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2009.02.012 · Cited by 11
Model of annual plants dynamics with facilitation and competition
Droz, M., & Pękalski, A. (2013) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2013.06.010 · Cited by 11
Aledo, J. A., Diaz, L. G., Martínez, S., & Valverde, J. C. (2018) · Journal of Computational and Applied Mathematics · doi:10.1016/j.cam.2018.08.015 · Cited by 11
Sprague, R., Godsoe, W., & Hulme, P. E. (2019) · Biological Invasions · doi:10.1007/s10530-019-01960-8 · Cited by 11
Community-driven dispersal in an individual-based predator–prey model
Filotas, É., Grant, M., Parrott, L., & Rikvold, P. A. (2008) · Ecological Complexity · doi:10.1016/j.ecocom.2008.01.002 · Cited by 11
Drury, K. L. S., & Dwyer, G. (2005) · American Naturalist · doi:10.1086/497542 · Cited by 12
Population-level consequences of heterospecific density-dependent movements in predator–prey systems
Sjödin, H., Brännström, Å., Söderquist, M., & Englund, G. (2013) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2013.09.019 · Cited by 10
Markham, D. C., Simpson, M. J., & Baker, R. E. (2014) · Bulletin of Mathematical Biology · doi:10.1007/s11538-014-0050-8 · Cited by 10
Replicator Equations and Space
Bratus, A. S., Posvyanskii, V. P., & Novozhilov, A. S. (2014) · Mathematical Modelling of Natural Phenomena · doi:10.1051/mmnp/20149304 · Cited by 10
Movement Efficiency and Behavior of Termites (Isoptera) in Tunnels with Varying Pore Sizes
Ku, S. J., Su, N., & Lee, S. (2013) · Florida Entomologist · doi:10.1653/024.096.0314 · Cited by 10
Using strip seeding to test how restoration design affects randomness of community assembly
Gornish, E. S., Shaw, J. A., & Gillespie, B. M. (2019) · Restoration Ecology · doi:10.1111/rec.12988 · Cited by 10
Patterns of 2-Year Population Cycles in Spatially Extended Host–Parasitoid Systems
Rost, M., Várkonyi, G., & Hanski, I. (2001) · Theoretical Population Biology · doi:10.1006/tpbi.2001.1516 · Cited by 10
Impact of Predator-Driven Allee and Spatiotemporal Effect on a Simple Predator–Prey Model
Kayal, K., Samanta, S., Rana, S., Karmakar, S., & Chattopadhyay, J. (2024) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127424500469 · Cited by 9
Statistical Mechanics Ideas and Techniques Applied to Selected Problems in Ecology
Fort, H. (2013) · Entropy · doi:10.3390/e15125237 · Cited by 9
Using Cellular Automata to study the effect of competition for epidemic diseases
Li, W., & Guo, X. (2012) · Procedia Environmental Sciences · doi:10.1016/j.proenv.2012.01.094 · Cited by 9
Bodrov, A. G., & Nikitin, A. A. (2014) · Doklady Mathematics · doi:10.1134/s1064562414020240 · Cited by 9
Bouderbala, I., Saadi, N. E., Bah, A., & Auger, P. M. (2018) · Acta Biotheoretica · doi:10.1007/s10441-018-9318-y · Cited by 9
Biodiversity patterns from an individual-based competition model on niche and physical spaces
Fort, H., & Inchausti, P. (2012) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2012/02/p02013 · Cited by 8
Mazal, L., Corenblit, D., Barsoum, N., Steiger, J., Skøt, L., Fumanal, B., & Till‐Bottraud, I. (2021) · Flora · doi:10.1016/j.flora.2021.151763 · Cited by 8
Unicellular–multicellular evolutionary branching driven by resource limitations
Bonforti, A., & Solé, R. V. (2022) · Journal of The Royal Society Interface · doi:10.1098/rsif.2022.0018 · Cited by 12
Mean-field models of dynamics on networks via moment closure: An automated procedure
Wuyts, B., & Sieber, J. (2022) · Physical review. E · doi:10.1103/physreve.106.054312 · Cited by 8
Grabarnik, P., & Särkkä, A. (2011) · Procedia Environmental Sciences · doi:10.1016/j.proenv.2011.07.012 · Cited by 8
Movement efficiency and behavior of termites in tunnels with changing width
Cho, J., & Lee, S. (2014) · Applied Entomology and Zoology · doi:10.1007/s13355-014-0274-y · Cited by 8
Species exclusion and coexistence in a noisy voter model with a competition-colonization tradeoff
Martínez‐García, R., López, C., & Vázquez, F. (2021) · Physical review. E · doi:10.1103/physreve.103.032406 · Cited by 8
Xiao, S., Chen, S., & Wang, G. (2007) · Ecological Modelling · doi:10.1016/j.ecolmodel.2007.01.025 · Cited by 8
Can culling a threatened species increase its chance of persisting?
Bode, M., & Possingham, H. P. (2006) · Ecological Modelling · doi:10.1016/j.ecolmodel.2006.07.038 · Cited by 8
Fabrika, M., Pretzsch, H., & Bravo, F. (2018) · Managing forest ecosystems · doi:10.1007/978-3-319-91953-9_10 · Cited by 7
On Diffusive Stability of Eigen’s Quasispecies Model
Bratus, A. S., Hu, C., Safro, M. V., & Novozhilov, A. S. (2014) · Journal of Dynamical and Control Systems · doi:10.1007/s10883-014-9237-4 · Cited by 7
Nikolaev, M. V., Dieckmann, U., & Nikitin, A. A. (2021) · Doklady Mathematics · doi:10.1134/s1064562421040128 · Cited by 7
Inchausti, P., & Ballesteros, S. P. (2008) · Journal of Animal Ecology · doi:10.1111/j.1365-2656.2008.01419.x · Cited by 7
Coexistence of mutualists and non-mutualists in a dual-lattice model
Ezoe, H., & Ikegawa, Y. (2013) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2013.04.016 · Cited by 7
Qin, L., Zhang, F., Wang, W., & Song, W. (2017) · PLoS ONE · doi:10.1371/journal.pone.0174141 · Cited by 7
Equilibrium Integral Equations with Kurtosian Kernels in Spaces of Various Dimensions
Nikitin, A. A., & Nikolaev, M. V. (2018) · Moscow University Computational Mathematics and Cybernetics · doi:10.3103/s0278641918030093 · Cited by 7
Criticality in Epidemics: The Mathematics of Sandpiles Explains Uncertainty in Epidemic Outbreaks
Stollenwerk, N. (2006) · Kluwer Academic Publishers eBooks · doi:10.1007/0-387-23394-6_19 · Cited by 7
Small-scale spatial structure influences large-scale invasion rates
Plank, M. J., Simpson, M. J., & Binny, R. N. (2020) · Theoretical Ecology · doi:10.1007/s12080-020-00450-1 · Cited by 7
Bolliger, J. (2002) · Schweizerische Zeitschrift fur Forstwesen · doi:10.3188/szf.2002.0167 · Cited by 7
Spatial self-organization in a cyclic resource–species model
Krone, S. M., & Guan, Y. (2005) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2005.11.005 · Cited by 7
Sensitivity analysis of Repast computational ecology models with R/Repast
García, A. P., & Rodríguez‐Patón, A. (2016) · Ecology and Evolution · doi:10.1002/ece3.2580 · Cited by 7
Hierarchical log Gaussian Cox process for regeneration in uneven-aged forests
Kuronen, M., Särkkä, A., Vihola, M., & Myllymäki, M. (2021) · Environmental and Ecological Statistics · doi:10.1007/s10651-021-00514-3 · Cited by 6
A three-strategy game involving loners in eco-evolutionary dynamics
Adetowubo, A. Y., & Zhang, G. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10818-1 · Cited by 6
Recruitment limitation modifies the net effects of shared enemies on competitively inferior plants
Schoolmaster, D. R. (2007) · Journal of Ecology · doi:10.1111/j.1365-2745.2007.01309.x · Cited by 6
How geographic productivity patterns affect food-web evolution
Wickman, J., Dieckmann, U., Hui, C., & Brännström, Å. (2020) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2020.110374 · Cited by 6
Discrete Manhattan and Chebyshev pair correlation functions in k dimensions
Oliveira, A. L. D., & Binder, B. J. (2020) · Physical review. E · doi:10.1103/physreve.102.012130 · Cited by 6
Grueters, U., Ibrahim, M. R. B., Schmidt, H., Tiebel, K., Horn, H., Pranchai, A., Vovides, A. G., Vogt, J., Otero, V., Satyanarayana, B., et al. (2021) · Forests · doi:10.3390/f12070955 · Cited by 6
Rich dynamics caused by diffusion
Peng, M., Yi, X., & Cheng, R. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-023-08307-y · Cited by 6
Hamis, S., Somervuo, P. J., Ågren, J. A., Tadele, D. S., Kesseli, J., Scott, J. G., Nykter, M., Gerlee, P., Finkelshtein, D. L., & Ovaskainen, O. (2023) · Journal of Mathematical Biology · doi:10.1007/s00285-023-01903-x · Cited by 6
Boer, M. M., Johnston, P., & Sadler, R. J. (2011) · Ecological Complexity · doi:10.1016/j.ecocom.2011.07.005 · Cited by 6
EMERGENT TURING PATTERN IN EPIDEMIC SPREADING USING CELLULAR AUTOMATON
Sun, G., Jin, Z., & Li, L. (2011) · International Journal of Modern Physics B · doi:10.1142/s0217979211059401 · Cited by 6
The importance of being atomic: Ecological invasions as random walks instead of waves
Reluga, T. C. (2016) · Theoretical Population Biology · doi:10.1016/j.tpb.2016.06.002 · Cited by 6
Emerging Applications of Cellular Automata
Salcido, A. (2013) · InTech eBooks · doi:10.5772/3370 · Cited by 6
Sprague, R., Hulme, P. E., Moltchanova, E. V., & Godsoe, W. (2021) · Ecography · doi:10.1111/ecog.05959 · Cited by 6
Revisiting discrepancies between stochastic agent-based and deterministic models
Mohd, M. H. (2022) · Community Ecology · doi:10.1007/s42974-022-00118-2 · Cited by 6
Zhi-Zhen, Z., & Wang, A. (2009) · Chinese Physics B · doi:10.1088/1674-1056/18/2/019 · Cited by 6
Transient patterns and delayed herbivore response in plant-herbivore systems
Mohammed, M. (2024) · Theoretical Ecology · doi:10.1007/s12080-024-00586-4 · Cited by 5
Symmetrizable Boolean networks
Aledo, J. A., Chacc, E. G., Montalva-Medel, M., Montealegre, P., & Valverde, J. C. (2023) · Information Sciences · doi:10.1016/j.ins.2023.01.082 · Cited by 5
Diversity, stability, and evolvability in models of early evolution
Scheuring, I., & Szilágyi, A. (2019) · Current Opinion in Systems Biology · doi:10.1016/j.coisb.2018.12.007 · Cited by 5
SPATIAL PATTERNS DYNAMICS OF A DIFFUSIVE PREDATOR–PREY SYSTEM WITH COOPERATIVE BEHAVIOR IN PREDATORS
Singh, T., & Dubey, R. (2020) · Fractals · doi:10.1142/s0218348x21500857 · Cited by 5
Bordj, N., & Saadi, N. E. (2021) · Applied Mathematics and Computation · doi:10.1016/j.amc.2021.126594 · Cited by 5
Cluster variation approximations for a contact process living on a graph
Peyrard, N., & Franc, A. (2005) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2005.04.017 · Cited by 5
Strategy bifurcation and spatial inhomogeneity in a simple model of competing sellers
Mitchell, L., & Ackland, G. J. (2007) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/79/48003 · Cited by 5
Growth of tropical savanna grass plants in competition: A shoot population model
Segarra, J., Raventós, J., & Acevedo, M. F. (2005) · Ecological Modelling · doi:10.1016/j.ecolmodel.2005.04.004 · Cited by 5
Moment Approximation of Infection Dynamics in a Population of Moving Hosts
Bonté, B., Mathias, J., & Duboz, R. (2012) · PLoS ONE · doi:10.1371/journal.pone.0051760 · Cited by 5
Cousens, R. D., Dytham, C., & Law, R. (2008) · doi:10.1093/acprof:oso/9780199299126.003.0008 · Cited by 5
Two Cellular Automata Designed for Ecological Problems: Mendota CA and Barro Colorado Island CA
Fort, H. (2013) · InTech eBooks · doi:10.5772/52068 · Cited by 4
Patterns of dispersal from entire plants
Cousens, R. D., Dytham, C., & Law, R. (2008) · doi:10.1093/acprof:oso/9780199299126.003.0005 · Cited by 4
Effects of tunnel slopes on movement efficiency and behavior of termites
Lee, S. (2017) · Oriental Insects · doi:10.1080/00305316.2017.1314986 · Cited by 4
Guidance on good practice in conducting scientific assessments in animal health using modelling
Welfare, N.-F. E. P. O. A. H. A., Nielsen, S. S., Álvarez, J., Calistri, P., Canali, E., Drewe, J. A., Garin‐Bastuji, B., Gonzáles, J. L., Gortázar, C., Herskin, M. S., et al. (2022) · EFSA Journal · doi:10.2903/j.efsa.2022.7346 · Cited by 4
Simulation study to determine why only some termites are active during tunneling activity
Song, H., & Lee, S. (2018) · Entomological Science · doi:10.1111/ens.12294 · Cited by 4
Biological control of a predator–prey system through provision of an infected predator
Zhang, H., Xu, G., & Sun, H. (2018) · International Journal of Biomathematics · doi:10.1142/s179352451850105x · Cited by 4
Spatial Population Models for Animals
Perry, G. L. W., & Bond, N. R. (2013) · doi:10.1002/9781118351475.ch13 · Cited by 4
Book Review: Spatial deterministic epidemics
Diekmann, O. (2005) · Bulletin of the American Mathematical Society · doi:10.1090/s0273-0979-05-01061-x · Cited by 4
Colon, C. (2016) · theses.fr (ABES) · doi:10.70675/cb420988z90d1z4b7cza141z1251106b219d · Cited by 4
Timmins, T. L., Hunter, A. J. S., Cattet, M., & Stenhouse, G. B. (2013) · Geographical Analysis · doi:10.1111/gean.12019 · Cited by 3
Revisiting the Böcher-modified Raunkiær method for estimating the frequency of plant species
Damgaard, C. F. (2014) · Ecological Informatics · doi:10.1016/j.ecoinf.2014.12.004 · Cited by 3
Adamatzky, A., & Grube, M. (2010) · Understanding complex systems · doi:10.1007/978-3-642-12203-3_7 · Cited by 3
Propagule dispersal and the spatial dynamics of populations and communities
Cousens, R. D., Dytham, C., & Law, R. (2008) · doi:10.1093/acprof:oso/9780199299126.003.0007 · Cited by 3
Spatial analysis of sample data
Fortin, M., & Dale, M. R. T. (2005) · Cambridge University Press eBooks · doi:10.1017/cbo9780511542039.004 · Cited by 3
Conservation of pattern as a tool for inference on spatial snapshots in ecological data
Irvine, M. A., Bull, J. C., & Keeling, M. J. (2018) · Scientific Reports · doi:10.1038/s41598-017-17346-6 · Cited by 3
Giménez, L. (2018) · Ecography · doi:10.1111/ecog.03493 · Cited by 3
Predecessors Existence Problems and Gardens of Eden in Sequential Dynamical Systems
Aledo, J. A., Diaz, L. G., Martínez, S., & Valverde, J. C. (2019) · Complexity · doi:10.1155/2019/6280960 · Cited by 3
On the evolution of structure in ecological networks
Labrum, M. J., Soule, T., Blue, A., & Krone, S. M. (2011) · Springer eBooks · doi:10.1007/978-3-642-17635-7_25 · Cited by 3
Capture-recapture and evolutionary ecology: Further comments
Clobert, J. (2002) · Journal of Applied Statistics · doi:10.1080/02664760120108773 · Cited by 3
Influence of plant neighborhood on patch dynamics
Biancari, L., Aguiar, M. R., & Cipriotti, P. A. (2025) · Oikos · doi:10.1002/oik.11307 · Cited by 2
Dealing with spatial autocorrelation
Fortin, M., & Dale, M. R. T. (2005) · Cambridge University Press eBooks · doi:10.1017/cbo9780511542039.006 · Cited by 2
Stochastic Geometry for Population-Dynamic Modeling: A Dieckmann Model with Immovable Individuals
Galkin, E. G., & Nikitin, A. A. (2020) · Moscow University Computational Mathematics and Cybernetics · doi:10.3103/s027864192002003x · Cited by 2
Numerical study of a three-state host-parasite system on the square lattice
Hasegawa, T., Konno, N., & Masuda, N. (2011) · Physical Review E · doi:10.1103/physreve.83.046102 · Cited by 2
Approximating spatially exclusive invasion processes
Ross, J. V., & Binder, B. J. (2014) · Physical Review E · doi:10.1103/physreve.89.052709 · Cited by 2
Hiebeler, D. E., & Hill, J. L. (2016) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2016.07.033 · Cited by 2
Study of Dieckmann’s equation with integral kernels having variable kurtosis coefficient
Калистратова, А. В., & Nikitin, A. A. (2016) · Doklady Mathematics · doi:10.1134/s1064562416050288 · Cited by 2
Chang, Y.-F. (2022) · European journal of applied sciences · doi:10.14738/aivp.101.11387 · Cited by 2
Metadata
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2000-05-04
- OpenAlex
- W1586507888
- Cited by
- 360
- References
- 0
- Citations by year
- 2025: 7 · 2024: 9 · 2023: 8 · 2022: 9 · 2021: 11 · 2020: 10 · 2019: 10 · 2018: 12 · 2017: 10 · 2016: 14 · 2015: 12 · 2014: 15 · 2013: 23 · 2012: 13
- FWCI
- 22.85
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical and Theoretical Epidemiology and Ecology Models
- Physical Sciences › Environmental Science › Global and Planetary Change › Ecosystem dynamics and resilience
- Physical Sciences › Environmental Science › Nature and Landscape Conservation › Ecology and Vegetation Dynamics Studies
- Keywords
- spatial ecology, ecological interactions, spatial patterns, spatial complexity, theoretical ecology
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review