Clinical Associate Professor of Epidemiology
Dr. Erez Hatna works in the fields of geoinformatics, spatial analysis, agent-based modeling, and studies urban dynamics, residential segregation, scaling laws of urban systems, and infectious disease modeling.
Dr. Hatna studies ethnic and economic residential patterns of cities using agent-based computational models of relocating households. The models simulate the formation of residential patterns as an outcome of relocation decisions of households. Dr. Hatna also studies the statistical regularities of urban systems and urban scaling. His research focuses on how the choice of urban boundaries influences the scaling relationships.
At NYU, Dr. Hatna is part of the Agent-based Modeling Lab, which works with large-scale epidemic models and cognitively plausible agents in order to produce a transformative synthesis for global public health modeling. Previously, he has conducted research at Wageningen University, University College London, and Johns Hopkins University.
PhD, Geography, Tel Aviv University, Tel Aviv, IsraelMA, Geography, Tel Aviv University, Tel Aviv, Israel
Agent-Based ModelingEpidemiologyGeographic Information Science (GIS)Geospatial MethodsInfectious DiseasesMathematical and Computational ModelingModeling Social and Behavioral DynamicsUrban Informatics
Evidence for localization and urbanization economies in urban scalingSarkar, S., Arcaute, E., Hatna, E., Alizadeh, T., Searle, G., & Batty, M.
Journal titleRoyal Society Open Science
Issue3AbstractWe study the scaling of (i) numbers of workers and aggregate incomes by occupational categories against city size, and (ii) total incomes against numbers of workers in different occupations, across the functional metropolitan areas of Australia and the USA. The number of workers and aggregate incomes in specific high-income knowledge economy-related occupations and industries show increasing returns to scale by city size, showing that localization economies within particular industries account for superlinear effects. However, when total urban area incomes and/or gross domestic products are regressed using a generalized Cobb-Douglas function against the number of workers in different occupations as labour inputs, constant returns to scale in productivity against city size are observed. This implies that the urbanization economies at the whole city level show linear scaling or constant returns to scale. Furthermore, industrial and occupational organizations, not population size, largely explain the observed productivity variable. The results show that some very specific industries and occupations contribute to the observed overall superlinearity. The findings suggest that it is not just size but also that it is the diversity of specific intra-city organization of economic and social activity and physical infrastructure that should be used to understand urban scaling behaviours.
Defining urban clusters to detect agglomeration economiesCottineau, C., Finance, O., Hatna, E., Arcaute, E., & Batty, M.
Journal titleEnvironment and Planning B: Urban Analytics and City Science
Page(s)1611-1626AbstractAgglomeration economies are a persistent subject of debate in regional science and city planning. Their definition turns on whether or not larger cities are more efficient than smaller ones. Here, we complement existing discussions on agglomeration economies by providing a sensitivity analysis of estimated externalities to the definitions of urban agglomeration. We regress wages versus population and jobs over thousands of different definitions of cities in France, based on an algorithmic aggregation of spatial units. We also search for evidence of larger inequalities in larger cities. This paper therefore focuses on the spatial and economic complexity of the mechanisms defining agglomeration within and between cities.
Diverse cities or the systematic paradox of Urban Scaling Laws
Cities and regions in Britain through hierarchical percolation
Defining urban agglomerations to detect agglomeration economiesCottineau, C., Finance, O., Hatna, E., Arcaute, E., & Batty, M.
Journal titlearXivAbstractAgglomeration economies are a persistent subject of debate among economists and urban planners. Their definition turns on whether or not larger cities and regions are more efficient and more productive than smaller ones. We complement existing discussion on agglomeration economies and the urban wage premium here by providing a sensitivity analysis of estimated coefficients to different delineations of urban agglomeration as well as to different definitions of the economic measure that summarises the urban premium. This quantity can consist of total wages measured at the place of work, or of income registered at the place of residence. The chosen option influences the scaling behaviour of city size as well as the spatial distribution of the phenomenon at the city level. Spatial discrepancies between the distribution of jobs and the distribution of households at different economic levels makes city definitions crucial to the estimation of economic relations which vary with city size. We argue this point by regressing measures of income and wage over about five thousands different definitions of cities in France, based on our algorithmic aggregation of administrative spatial units at regular cutoffs which reflect density, population thresholds and commuting flows. We also go beyond aggregated observations of wages and income by searching for evidence of larger inequalities and economic segregation in the largest cities. This paper therefore considers the spatial and economic complexity of cities with respect to discussion about how we measure agglomeration economies. It provides a basis for reflection on alternative ways to model the processes which lead to observed variations, and this can provide insights for more comprehensive regional planning.
Regions and cities in Britain through hierarchical percolationHatna, E., & Al., .
Combining segregation and integration: Schelling model dynamics for heterogeneous population
Constructing cities, deconstructing scaling laws
On the problem of boundaries and scaling for urban street networksMasucci, A. P., Arcaute, E., Hatna, E., Stanilov, K., & Batty, M.
Journal titleJournal of the Royal Society Interface
Issue111AbstractUrban morphology has presented significant intellectual challenges to mathematicians and physicists ever since the eighteenth century, when Euler first explored the famous Königsberg bridges problem. Many important regularities and scaling laws have been observed in urban studies, including Zipf's law and Gibrat's law, rendering cities attractive systems for analysis within statistical physics. Nevertheless, a broad consensus on how cities and their boundaries are defined is still lacking. Applying an elementary clustering technique to the street intersection space, we show that growth curves for the maximum cluster size of the largest cities in the UK and in California collapse to a single curve, namely the logistic. Subsequently, by introducing the concept of the condensation threshold, we show that natural boundaries of cities can be well defined in a universal way. This allows us to study and discuss systematically some of the regularities that are present in cities. We show that some scaling laws present consistent behaviour in space and time, thus suggesting the presence of common principles at the basis of the evolution of urban systems.
Paradoxical Interpretations of Urban Scaling Laws
Combining segregation and integration: Schelling model dynamics for heterogeneous population
Influence of provider and urgent care density across different socioeconomic strata on outpatient antibiotic prescribing in the USA
Assessing spatial uncertainties of land allocation using a scenario approach and sensitivity analysis: A study for land use in EuropeVerburg, P. H., Tabeau, A., & Hatna, E.
Journal titleJournal of Environmental Management
Page(s)S132-S144AbstractLand change model outcomes are vulnerable to multiple types of uncertainty, including uncertainty in input data, structural uncertainties in the model and uncertainties in model parameters. In coupled model systems the uncertainties propagate between the models. This paper assesses uncertainty of changes in future spatial allocation of agricultural land in Europe as they arise from a general equilibrium model coupled to a spatial land use allocation model. Two contrasting scenarios are used to capture some of the uncertainty in the development of typical combinations of economic, demographic and policy variables. The scenario storylines include different measurable assumptions concerning scenario specific drivers (variables) and parameters. Many of these assumptions are estimations and thus include a certain level of uncertainty regarding their true values. This leads to uncertainty within the scenario outcomes. In this study we have explored how uncertainty in national-level assumptions within the contrasting scenario assumptions translates into uncertainty in the location of changes in agricultural land use in Europe. The results indicate that uncertainty in coarse-scale assumptions does not translate into a homogeneous spread of the uncertainty within Europe. Some regions are more certain than others in facing specific land change trajectories irrespective of the uncertainty in the macro-level assumptions. The spatial spread of certain and more uncertain locations of land change is dependent on location conditions as well as on the overall scenario conditions. Translating macro-level uncertainties to uncertainties in spatial patterns of land change makes it possible to better understand and visualize the land change consequences of uncertainties in model input variables.
City boundaries and the universality of scaling lawsHatna, E., & Al., .
Long-term changes in the configuration of agriculture and natural areas around cities in the Netherlands (1900-1990)Hatna, E., & Bakker, M. M. In Modeling of Land-use and Ecological Dynamics.
Page(s)37-49AbstractCities' influence on the spatial configuration of land in their proximity has presumably changed during the last century as agriculture, cities, and transportation evolved. Investigation of these changes has been limited due to the limited availability of historical maps in digital form. In this chapter, we employ a set of digitized historical land-cover maps in order to compare the spatial distribution of cropland, pasture, and nature surrounding cities in the Netherlands for three time periods: 1900, 1960 and 1990. Our findings suggest that the land cover around cities was relatively stable during these time periods. However, we discovered that, near the perimeter of cities, in 1900, we could discern a clear trend of higher fractions of cropland. These tendencies weakened by the middle of the century and almost completely ceased by 1990.
The schelling model of ethnic residential dynamics: Beyond the integrated - segregated dichotomy of patterns
Abandonment and Expansion of Arable Land in Europe
Changing environmental characteristics of European cropland
Geosimulation of income-based Urban residential patterns
Minority-majority relations in the schelling model of residential dynamicsBenenson, I., & Hatna, E.
Journal titleGeographical Analysis
Page(s)287-305AbstractThe Schelling model describing segregation between two groups of residential agents, reflects the most abstract, basic view of noneconomic forces motivating residential migrations: be close to people of "your ownkind. The model assumes that residential agents, located in neighborhoods where the fraction of "friendsis less than a predefined threshold value F, try to relocate to neighborhoods where this fraction is F or higher. For groups of equal size, Schelling's residential pattern converges either to complete integration (random pattern) or segregation, depending on F. We investigate Schelling model pattern dynamics as a function of F in addition to two other parameters-the ratio of groups' numbers, and neighborhood size. We demonstrate that the traditional integration-segregation pattern dichotomy should be extended. In the case of groups of different sizes, a wide interval of F-values exists that entails a third persistent residential pattern, one in which a portion of the majority population segregates while the rest remains integrated with the minority. We also demonstrate that Schelling model dynamics essentially depend on the formalization of urban agents' residential behavior. To obtain realistic results, the agents should be satisficers, and the fraction of the agents relocating irrespective of the neighborhood's state should be nonzero. We discuss the relationship between our results and real-world residential dynamics. Relaciones entre minoría y mayoría en el modelo de dinámica residencial de Schelling El modelo de Schelling describe la segregación entre dos grupos de agentes residenciales (Schelling 1971, 1978) a partir del supuesto más básico y abstracto acerca de las fuerzas no económicas que motivan las migraciones residenciales: la cercanía a gente de "su mismotipo. El modelo asume que los agentes residenciales, ubicados en los barrios donde la fracción de "amigoses menor a un valor umbral predefinido F, tratarán de trasladarse a los vecindarios donde esta fracción es F o mayor. Para grupos de igual tamaño, el patrón residencial de Schelling converge ya sea hacia la integración completa (modelo aleatorio), o hacia la segregación, en función al valor de F. Los autores investigan las dinámicas del patrón modelo de Shelling en función a F y a dos parámetros adicionales: el ratio o tasa de tamaño de los grupos, y el tamaño del barrio/vecindad. Los resultados demuestran que la dicotomía tradicional de patrones de integración-segregación debe ser revisada y ampliada. En el caso de grupos de diferentes tamaños, se halló que existe un amplio intervalo de valores para F, lo cual supone un tercer tipo de patrón residencial persistente: un patrón en el que una parte (o grupo) mayoritario de la población se segrega, mientras que el resto de esta mayoría permanece integrado con la minoría. También se demuestra que las dinámicas del modelo de Schelling dependen esencialmente de la formalización del comportamiento residencial de los agentes urbanos. Para obtener resultados realistas, los agentes deben ser satisfactores (satisficers), y la fracción de los agentes que se reubican debe ser distinta a cero, independientemente de las características de 4 vecindad. Finalmente, los autores discuten la relación entre sus resultados y las dinámicas residenciales en el mundo real.
The impact of anthropogenic factors on the behavior, reproduction, management and welfare of urban, free-roaming cat populations
The influence of neighbourhood socio-demographic factors on densities of free-roaming cat populations in an urban ecosystem in IsraelFinkler, H., Hatna, E., & Terkel, J.
Journal titleWildlife Research
Page(s)235-243AbstractContext Free-roaming cat populations are abundant in many urban ecosystems worldwide. Their management is necessary for reasons of public health, risk of wildlife predation and cat welfare related to their high densities. Trapneuterreturn (TNR) programs are now the main cat population control strategy in urban areas. However, the efficacy of such strategies is difficult to evaluate without more precise estimates of cat numbers and a better knowledge of anthropogenic influences on cat densities. Aims We aimed to estimate free-roaming cat population numbers and density in residential neighbourhoods in Tel Aviv, and to investigate population densities in relation to several socio-demographic factors. Methods We compared free-roaming cat population densities in terms of neighbourhood socio-economic status (SES), housing type, human density and percentage of residential and commercial areas. Five consecutive cat density surveys were carried out in eight residential neighbourhoods in Israel four in northern Tel Aviv, characterised by high SES, and four in southern Tel Aviv, characterised by low SES. The photographic capturerecapture technique was used and abundance estimates were evaluated using the MARK program. Regression analyses examined the effect of socio-demographic factors on cat densities. Key results Neighbourhood socio-economic status significantly influenced kitten density and proportion of neutered cats in the total population: southern neighbourhoods had higher kitten densities and lower neutered cat proportions compared with northern neighbourhoods. Higher adult cat densities featured in mixed profile neighbourhoods of residential and commercial areas compared with solely residential neighbourhoods. Using the linear equation from the regression analysis the entire free-roaming cat population in Tel Aviv was extrapolated to 39000 cats. Conclusions The results suggest that adult cat and kitten densities depend in part on socio-demographic factors, specifically on neighbourhood socio-economic status and the proportion of residential area. Implications Our findings in Tel Aviv may be used to improve cat management efforts, by focusing on neighbourhoods hosting higher cat densities; as well as to improve cat welfare by focusing on neighbourhoods with lower neutering rates and higher kitten densities. Finally, the current study may serve as a basis for studies in other cities with similar cat overpopulation problems.
Assessing spatial uncertainties of land allocation using the scenario approach and sensitivity analysis
From schelling to spatially explicit modeling of urban ethnic and economic residential dynamicsBenenson, I., Hatna, E., & Or, E.
Journal titleSociological Methods and Research
Page(s)463-497AbstractThe robustness of outcomes to the parameterization of behavioral rules is a crucial property of any model aimed at simulating complex human systems. Schelling model of residential segregation satisfies this criterion. Based on the recently available high-resolution census GIS, we apply Schelling model for investigating urban population patterns at the resolution of individual buildings and families. First, we simulate ethnic residential dynamics in Yaffo (an area of Tel Aviv), and demonstrate good quantitative correspondence for a 40-year period. Second, we investigate income-based residential patterns in nine Israeli cities, reveal their high heterogeneity, and explain the latter by the presence of low fraction of wealthier householders who are tolerant of their poorer neighbors and reside in their proximity. We extend Schelling model in this direction and demonstrate qualitative correspondence between the model's outcomes and the observed income-based residential patterns.
The Third State of the Schelling Model of Residential DynamicsBenenson, I., & Hatna, E.
Journal titlearXivAbstractThe Schelling model of segregation between two groups of residential agents (Schelling 1971; Schelling 1978) reflects the most abstract view of the non-economic forces of residential migrations: be close to people of 'your own'. The model assumes that the residential agent, located in the neighborhood where the fraction of 'friends' is less than a predefined threshold value F, tries to relocate to a neighborhood for which this fraction is above F. It is well known that for the equal groups, depending on F, Schelling's residential pattern converges either to complete integration (random pattern) or segregation. We investigate Schelling model pattern dynamics as dependent on F, the ratio of the group numbers and the size of the neighborhood and demonstrate that the traditional integrate-segregate dichotomy is incomplete. In case of unequal groups, there exists the wide interval of the F-values that entails the third persistent residential pattern, in which part of the majority population segregates, while the rest remains integrated with the minority. We also demonstrate that Schelling model dynamics essentially depends on the description of agents' residential behavior. To obtain sociologically meaningful results, the agents should be satisficers, and the fraction of the agents who relocate irrespective of the neighborhood state should be non-zero.