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Oreskes, 1998
Argues complex environmental models cannot be validated because natural systems are open, changing, and incompletely understood.
Proposes evaluation, not validation, as the appropriate way to assess models by recognising their strengths and limitations.
Identifies four key uncertainties: theoretical, empirical, parametric, and temporal.
Uses the Limits to Growth model and lead exposure modelling to show why models cannot provide certainty.
Concludes models should be question-driven, exploratory tools rather than sources of definitive predictions.
Oreskes, Shrader-Frechette and Belitz, 1994
Argues numerical models of Earth systems can never be fully verified or validated; they can only be confirmed to varying degrees.
Models are heuristic representations, useful for exploring hypotheses rather than proving reality.
Highlights problems of auxiliary hypotheses and underdetermination (non-uniqueness), where different models produce identical outputs.
Distinguishes benchmarking (testing numerical solutions) from calibration (adjusting parameters to fit observations).
Models remain valuable for sensitivity analysis, identifying inconsistencies, and guiding future research.
Wainwright and Mulligan, 2013
Defines models as simplified abstractions of reality, balancing realism with parsimony.
Argues modelling is both a scientific and creative process rather than a purely objective exercise.
Environmental models increasingly need to incorporate human decision-making, as society strongly shapes environmental systems.
Reviews three approaches: scenario modelling, Integrated Assessment Models (IAMs), and dynamic human-environment interaction models.
Models function as digital test beds for exploring policy options, while acknowledging unavoidable model discrepancies.
Cliff and Ord, 1975
Argues modelling makes human geography more useful for policy and planning.
Traces the rise of urban modelling from 1950s transportation planning.
Advocates structured pluralism, combining quantitative and qualitative approaches.
Demonstrates applications in healthcare, education, retail, finance, and public services.
Models should be used to explore planning scenarios, not simply predict future outcomes.
Su, 1998
Critiques 1990s GIS-based urban modelling as technology-driven rather than conceptually driven.
Argues traditional GIS relies on overly simplistic Cartesian conceptions of space and linear time.
Calls for models that incorporate formal, socio-economic, and subjective spaces.
Shows globalisation and post-industrial economies undermine assumptions built into earlier urban models.
Recommends more integrated spatial-temporal GIS capable of representing complex urban processes.
Clarke and Wilson, 1987
Examines the decline of quantitative geography after the 1970s.
Argues advances in computing allow increasingly sophisticated and complex modelling.
Suggests technological development expands the potential applications of quantitative geography.
Emphasises modelling's continued relevance despite changing disciplinary priorities.
Highlights the growing applicability of quantitative methods.
Castelli et al., 2013
Uses multi-level modelling to examine health inequalities across geographical scales.
Models identify where variation occurs rather than directly predicting health outcomes.
Demonstrates how modelling can inform English health policy by identifying priority intervention areas.
Recognises individuals are embedded within wider administrative and political structures.
Warns models cannot establish causality or replace political judgement in policymaking.
Ladet et al., 2010
Uses the SMASH agent-based model to simulate future landscape change.
Treats landscapes as coupled socio-ecological systems, integrating environmental and human processes.
Simulates policy scenarios including CAP reform, urbanisation, and continuation of existing trends.
Finds agricultural change drives reforestation more strongly than ecological factors alone.
Demonstrates the importance of modelling diverse human behaviours while recognising simplification reduces realism.
Van Oel et al., 2010
Models two-way feedbacks between water availability and water use in northeast Brazil's Jaguaribe Basin.
Uses spatially explicit multi-agent modelling to capture upstream-downstream interactions.
Incorporates behavioural rules derived from farmer interviews.
Demonstrates that positive and negative feedbacks occur simultaneously depending on context.
Acknowledges limited representation of local heterogeneity despite improved treatment of human behaviour.
Mayaud et al., 2017
Models future landscape change in the Kalahari Desert under climate and land-use change.
Uses a coupled vegetation and sediment transport model combining ecological and geomorphological processes.
Adopts a social-ecological modelling framework.
Ecological processes are parameterised, introducing uncertainty through simplified assumptions.
Limited treatment of social complexity highlights the trade-off between realism and simplicity.
Manson, 2007
Explores the difficulties of evaluating complex geographical models.
Introduces equifinality, where different processes produce identical spatial patterns.
Warns that models often mistake observed patterns for underlying causal processes.
Highlights the science-policy gap: policymakers seek certainty that models cannot provide.
Argues complex models should primarily be used for exploration rather than prediction.