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PubMed2001

On the use of the variogram in checking for independence in spatial data.

The variogram is a standard tool in the analysis of spatial data, and its shape provides useful information on the form of spatial correlation that may be present. However, it is also useful to be able to assess the evidence for the presence of any spatial correlation. A method of doing this, based on an assessment of whether the true function underlying the variogram is constant, is proposed. Nonparametric smoothing of the squared differences of the observed variables, on a suitably transformed scale, is used to estimate variogram shape. A statistic based on a ratio of quadratic forms is proposed and the test is constructed by investigating the distributional properties of this statistic under the assumption of an independent Gaussian process. The power of the test is investigated. Reference bands are proposed as a graphical follow-up. An example is discussed.

Biometry↗
PubMed1989

HLA-DQw3-related determinants: analysis of subunit and spatial relationships.

More polymorphism exists among DQ region gene products than is suggested by present serologic definitions of these class II molecules. DQ beta polymorphism among haplotypes carrying the DQw3 specificity is considerable. The TA10 specificity is present on one allele of at least three different DQ beta alleles that carry the DQw3 specificity. We have examined a series of monoclonal antibodies directed against different DQ beta alleles carrying the DQw3 specificity to determine subunit and spatial relationship among the epitopes detected by these antibodies. The antibodies were examined by Western blotting and for their ability to inhibit the binding of fluoresceinated antibodies on either TA10+ or TA10- DQw3 haplotypes. Our results reveal that (1) multiple DQw3-related epitopes exist; (2) several anti-DQw3-related antibodies generated against TA10- DQw3 molecules are unable to inhibit the binding of a TA10-specific antibody on a TA10+ haplotype while strongly inhibiting binding of an antibody detecting the reciprocal DQ beta polymorphism on a TA10- DQw3 haplotype; and (3) there is a strong requirement for three-dimensional conformation in the formation of the majority of the epitopes examined here. Analysis of previously published amino acid sequences for the haplotypes investigated here suggest that charge changes at amino acids 45, and 57, respectively, may have a significant effect in changing the spatial relationship between the DQw3-related epitope(s) and other polymorphic determinants on DQ beta chains.

Amino Acid Sequence↗
PubMed1996

Spatial data aggregation: exploratory analysis of road accidents.

This paper is limited to the "size problem": it empirically and systematically examines to what extent the length of road segment influences the statistical description of accident counts and density. Univariate descriptive statistics are systematically measured for accident count and ratio, using different motorway segment lengths. A classification of the studied aggregation levels is proposed leading to three distinct groups of segments: (1) very small segments (1 hm), where observed accident counts are almost Poisson distributed, (2) large segments (more than 20 hm), where accident counts are almost normally distributed, and (3) medium size segments (3-20 hm), where accident counts have an intermediate empirical distribution. It is suggested that generalizations made at one level of spatial aggregation may not necessarily hold at another level. Conclusions derived at one scale may be invalid at another. The paper shows how important preliminary examination of the data can be, without any sophisticated statistical test. It also shows that one best or unique level of aggregation is not available: it depends upon the objective of the study. Results of any statistical analysis or modelling procedure should be seen as conditional on the scale of the analysis.

Accidents, Traffic↗
PubMed2006

Quantitative analysis of temporal and spatial variations of chondrocyte behavior in engineered cartilage during long-term culture.

In this work, we present the fact that chondrocyte activity differs in relation to their position in an engineered cartilage construct. Chondrocytes from porcine articular cartilage were cultured in a monolayer. Then the cell/extracellular matrix (ECM) membrane was peeled off and centrifuged into a three-dimensional (3D) pellet-type construct. Cultivated in a static condition, the constructs were harvested at specific time intervals (1, 2, 3, and 5 weeks) and manually cored using a biopsy punch to separate the core from the remaining construct. The resultant parts, core and peripheral remnant were thus obtained and subjected to analysis individually. Cell density (10(6 )cells/cm(3)) of the core was significantly higher at 1 week than that of the periphery but this trend was reversed at later time points. Cell viability was remarkably better in the peripheral tissue. Alcian blue staining of glycosaminoglycan (GAG) revealed an intense blue staining from the periphery, exhibiting a steep gradient in distribution of GAG concentration. The gene expression ratio of collagen type II to I appeared to be more altered in the periphery, possibly suggesting cell dedifferentiation, especially at later time points (>2 weeks). The mRNA levels of matrix metalloproteinase-1 (MMP-1) and MMP-13 remained in the normal range, whereas collagen type X expression was more significantly upregulated at the periphery. This study showed that chondrocyte behavior could be highly variable in the extent of their proliferation, differentiation and dedifferentiation, depending on their physical location within 3D engineered cartilage construct.

Animals↗
PubMed2005

Landscape equivalency analysis: methodology for estimating spatially explicit biodiversity credits.

We propose a biodiversity credit system for trading endangered species habitat designed to minimize and reverse the negative effects of habitat loss and fragmentation, the leading cause of species endangerment in the United States. Given the increasing demand for land, approaches that explicitly balance economic goals against conservation goals are required. The Endangered Species Act balances these conflicts based on the cost to replace habitat. Conservation banking is a means to manage this balance, and we argue for its use to mitigate the effects of habitat fragmentation. Mitigating the effects of land development on biodiversity requires decisions that recognize regional ecological effects resulting from local economic decisions. We propose Landscape Equivalency Analysis (LEA), a landscape-scale approach similar to HEA, as an accounting system to calculate conservation banking credits so that habitat trades do not exacerbate regional ecological effects of local decisions. Credits purchased by public agencies or NGOs for purposes other than mitigating a take create a net investment in natural capital leading to habitat defragmentation. Credits calculated by LEA use metapopulation genetic theory to estimate sustainability criteria against which all trades are judged. The approach is rooted in well-accepted ecological, evolutionary, and economic theory, which helps compensate for the degree of uncertainty regarding the effects of habitat loss and fragmentation on endangered species. LEA requires application of greater scientific rigor than typically applied to endangered species management on private lands but provides an objective, conceptually sound basis for achieving the often conflicting goals of economic efficiency and long-term ecological sustainability.

Animals↗
PubMed2004

Temporal and spatial phase analyses of the electrocardiogram stratify intra-atrial and intra-ventricular organization.

We hypothesized that electrocardiogram (ECG) spatial phase analysis would define a spectrum of intracardiac organization from atrial fibrillation (AF), nonisthmus-dependent and isthmus-dependent atrial flutter (AFL) to supraventricular tachycardias (SVT), and similarly for ventricular arrhythmias. We analyzed arrhythmia ECGs of 33 patients with isthmus (n = 9) and nonisthmus (n = 5) dependent AFL and SVT: atrial (n = 3), atrioventricular nodal (n = 3), and orthodromic reciprocating (n = 3) tachycardias, as well as AF (n = 5), ventricular tachycardia (monomorphic, VT-MM; n = 7), and fibrillation (VF; n = 3). ECG spatial phase was considered coherent when the correlation coefficient of an atrial (or ventricular) template to its ECG over time maintained a constant relationship in XY, XZ, and YZ planes. Regularity was quantified spectrally from ECG and correlation series. Spatial coherence occurred in 9/9 cases of isthmus--but only 1/5 of cases of nonisthmus-dependent AFL (p < 0.01; chi2). All showed one dominant spectral peak (temporal coherence). In AF, spatial phase was inconsistent in all planes and spectra were broad band. Temporal and spatial coherence occurred in other SVT. VT-MM maintained spatial phase and a single spectral peak, while VF displayed neither. Our conclusions are that temporal and spatial phase analysis from the ECG stratifies intra-atrial and intra-ventricular organization and reveals subtle variability lost on visual inspection.

Adult↗
PubMed1990

A neural and computational model for the chromatic control of accommodation.

Accommodation is more accurate with polychromatic stimuli than with narrowband or monochromatic stimuli. The aim of this paper is to develop a computational model for how the visual system uses the extra information in polychromatic stimuli to increase the accuracy of accommodation responses. The proposed model is developed within the context of both trichromacy and also the organization of spatial and chromatic processing within the visual cortex. The refractive error present in the retinal image can be estimated by comparing image quality with and without small additional changes in refractive state. In polychromatic light, the chromatic aberration of the eye results in differences in ocular refractive power for light of different wavelengths. As a result, the refractive state of the eye can be estimated by comparing image quality in the three types of cone photoreceptor. The ability of cortical neurons to perform such comparisons on image quality with a crude form of spatial-frequency analysis is examined theoretically. It is found that spatially band-pass chromatically opponent neurons (that may correspond to double opponent neurons) can perform such calculations and that chromatic cues to accommodation are extracted most effectively by neurons responding to spatial frequencies of between 2 and 8 cycles/deg.

Accommodation, Ocular↗
PubMed2005

Exploring the spatial pattern of mental health expenditure.

BACKGROUND: Recent years have witnessed growing interest in cross-sectional variations in municipality mental health expenditure. However, empirical work to date has not examined the links between such variability and demand and supply factors, particularly in the spatial domain. AIMS OF THE STUDY: The aim is to examine whether a local authority's spending decisions in the mental health field respond to neighbouring expenditure decisions. We explore a number of reasons why there might be interdependence between local authorities' decisions, labelling them the demonstrative, market leader, contextual, directive, shared resource and inducement effects. METHODS: Exploratory techniques from spatial data analysis are used to test for the existence of spatial structure. Drawing hypotheses from these initial exploratory analyses, we then adopt a reduced form demand and supply model, extended to incorporate possible policy interaction. The analysis of expenditure and cost variations has traditionally been based on regression models under the classical assumption that the observations are independent. But omitting the recognition that observations are interdependent might lead to erroneous statistical conclusions. Hence, we use spatial econometric techniques that explicitly take into account the potential interdependence of data in order to study the sources of spending variation between municipalities. RESULTS: The exploratory data analyses reveal the presence of positive significant spatial correlation. Per capita mental health spending distributes in clusters, with the highest concentrations in metropolitan areas such as Greater London, Greater Manchester and Birmingham. The estimated spatial regression models indicate that spatial autocorrelation characterises local expenditure decisions, consistent with some degree of policy interdependence between neighbouring municipalities. Comparing the results from our spatial model with those from a classical ('non-spatial') model suggests that the differences in the regression coefficients could be explained by the evident spatial pattern of the phenomenon, since the omission of the lagged dependent variable induces bias in the OLS estimates. IMPLICATIONS FOR HEALTH POLICIES: These results help central and local decision makers understand the factors that influence local spending levels, including variations between municipalities in their achievement of expenditure-related and perhaps other performance targets. The actual patterns of spatial interaction may well be more complex than simple contiguity (the structure assumed here), but there seems little doubt that positive interdependence is an important feature of decision making. IMPLICATIONS FOR FURTHER RESEARCH: Statistical interrogation of a panel dataset would allow exploration of both time-series and cross-municipality variation in mental health expenditure. Subsequent analysis would also benefit from more disaggregated data (e.g. at a census ward level) and the accompanying use of spatial multilevel techniques.

Adolescent↗
PubMed1989

Inheritance of spatial learning ability in inbred mice: a classical genetic analysis.

The inheritance of spatial learning ability in inbred mice was examined by performance of a classical genetic cross between the 2 inbred strains C57BL/6Ibg and DBA/2Ibg. The inbreds were crossed to produce the 1st filial generation (F1) hybrids. F1 mice were bred to each other and were backcrossed to the parental strains to produce 3 hybrid generations with recombinant genotypes. The animals were tested for spatial learning ability in the Morris water task. All hybrid generations showed greater spatial learning ability than the inbreds, with F1 hybrids showing the greatest degree of spatial learning. The inheritance pattern for spatial learning differed between male and female mice, with males showing a type of inheritance in which dominant genes made the major contribution to the expression of the behavior. Females showed equal contributions of dominance deviation and additive genetic effects. The results are discussed in terms of fitness value to the animals.

Animals↗
PubMed2004

A study on asymmetry of spatial visual field by analysis of the fMRI BOLD response.

The asymmetry of the left-right and upper-lower visual field is analyzed in this paper by a model approach based on the functional magnetic resonance imaging (fMRI) blood oxygenation level dependent (BOLD) response. The model consists of the convolution between a Gaussian function and the perfusion function of neural response to stimulus. The model parameters are estimated by a nonlinear optimal algorithm, and te asymmetry of the left-right and upper-lower visual field is investigated by the differences of the model parameters. The results from eight subjects show that reaction time is significant shorter and the response is significant stronger when the lower field is stimulated than that when the upper field is stimulated. For the left and right fields, the response is different. These results provide the fMRI BOLD response evidence of the asymmetry of spatial visual fields.

Algorithms↗
PubMed2003

Correction of tibial malunion and nonunion with six-axis analysis deformity correction using the Taylor Spatial Frame.

OBJECTIVE: To determine the effectiveness of six-axis analysis deformity correction using the Taylor Spatial Frame for the treatment of posttraumatic tibial malunions and nonunions. DESIGN: Retrospectively reviewed, consecutive series. Mean duration of follow-up was 3.2 years (range 2-4.2 years). SETTING: Tertiary referral center for deformity correction. PATIENTS/PARTICIPANTS: Eighteen patients were included in the study (11 malunions and 7 nonunions). All deformities were posttraumatic in nature. The mean number of operations before the application of the spatial frame was 2.6 (range 1-6 operations). All patients completed the study. INTERVENTION: Six-axis analysis deformity correction using the Taylor Spatial Frame (Smith & Nephew, Memphis, TN) was used for correction of posttraumatic tibial malunion or nonunion. Nine patients had bone grafting at the time of frame application. One patient with a tibial plafond fracture simultaneously had deformity correction and an ankle fusion for a mobile atrophic nonunion. Two patients had infected tibial nonunions that were treated with multiple débridements, antibiotic beads, and bone grafting at the time of spatial frame application. A rotational gastrocnemius flap was used to cover a proximal third tibial defect in one patient. The average length of time the spatial frame was worn, time to healing, was 18.5 weeks (range 12-32 weeks). MAIN OUTCOME MEASUREMENTS: Assessment of deformity correction in six axes, knee and ankle range of motion, incidence of infection, and return to preinjury activities. RESULTS: Of the 18 patients treated with the Taylor Spatial Frame, with adjunctive bone graft as necessary, 17 achieved union and significant correction of their deformities in six axes (ie, coronal angulation and translation, sagittal angulation and translation, rotation, and shortening). Fifteen patients returned to their preinjury activities at last follow-up. CONCLUSION: Six-axis analysis deformity correction using the Taylor Spatial Frame is an effective technique to treat posttraumatic malunions and nonunions of the tibia, with several advantages over previously used devices.

Adolescent↗
PubMed2003

Sensitivity analysis of a spatially-explicit stochastic simulation model of the evolution of resistance in Helicoverpa zea (Lepidoptera: Noctuidae) to Bt transgenic corn and cotton.

The sensitivities of a model simulating the evolution of resistance in Helicoverpa zea to Bt toxins in transgenic crops were investigated by examining effects of each of the model parameters on the frequency of resistance alleles after 8 yr. The functional dominance of resistance alleles and the initial frequency of those alleles had a major impact on resistance evolution. The survival of susceptible insects on the transgenic crops and the population dynamics of the insect, driven by winter survival and reproductive rates, were also important. In addition, agricultural practices including the proportion of the acreage planted to corn, and the larval threshold for spraying cotton fields affected the R-allele frequency. Many of these important parameters are inherently variable or cannot be measured with accuracy, so model output cannot be interpreted as being a forecast. However, this analysis is useful in focusing empirical research on those aspects of the insects' life system that have the largest effects on resistance development, and indicates ways in which to improve products and agricultural practices to increase the expected time to resistance. The model can thus be used as a scientific basis for devising a robust resistance management strategy for Bt crops.

Agriculture↗
PubMed2005

Terrestrial metapopulation dynamics: a nonlinear bioeconomic model analysis.

This paper presents a spatially explicit bioeconomic analysis of species conservation in agricultural areas. Wild species in fragmented agricultural landscapes are best approached as metapopulations consisting of a finite number of local populations. Economic analysis of species conservation in fragmented habitat needs to deal with metapopulation theory and its theoretical implications. This paper presents a spatially explicit bioeconomic model consisting of a straightforward economic land use model and an applied metapopulation model. This paper demonstrates that multiple equilibria and multiple local optima in metapopulations might lead to nonconvexities in the production possibilities set of agricultural profits and species conservation.

Agriculture↗
PubMed1999

Multilevel modelling of the geographical distributions of diseases.

"Multilevel modelling is used on problems arising from the analysis of spatially distributed health data. We use three applications to demonstrate the use of multilevel modelling in this area. The first concerns small area all-cause mortality rates from Glasgow where spatial autocorrelation between residuals is examined. The second analysis is of prostate cancer cases in Scottish counties where we use a range of models to examine whether the incidence is higher in more rural areas. The third develops a multiple-cause model in which deaths from cancer and cardiovascular disease in Glasgow are examined simultaneously in a spatial model. We discuss some of the issues surrounding the use of complex spatial models and the potential for future developments."

Cause of Death↗
PubMed2001

EELS analysis of PMMA at high spatial resolution.

We performed the electron energy-loss spectroscopic (EELS) analysis of electron-sensitive polymers in the analytical transmission electron microscope in order to evaluate the possibility to obtain chemical information on polymers at a nanometre scale (i.e. at 2.4nm diameter probe). In the acquired spectra, we propose an identification of the ELNES fine structure to the different chemical bonding in agreement with molecular orbital calculations (EHT) and with previous XANES experiments.The main results confirm that poly(methyl mettacrylate) (PMMA) is very sensitive to electrons when a large probe size is used, with a critical dose of about 10(2)Cm(-2). However a high dose rate in a nanometre diameter electron beam is less destructive and the EELS spectra of far less degraded PMMA could be obtained even at 10(7)Cm(-2). Irradiation damage was however thought to be the main limitation of the field-emission gun microscope, since high electron doses are required to acquire an EELS spectrum. This surprising behaviour was already observed in the case of poly(ethylene terephthalate), which is however more resistant to the electron beam (Varlot et al., 1997. Ultramicroscopy 68 (2), 123-133). Several possible explanations were studied, such as the influence of the accelerating voltage, a wrong calculation of the electron dose, the excitation delocalisation and the electron dose rate.

Journal Article↗
PubMed1998

Functional imaging of mirror and inverse reading reveals separate coactivated networks for oculomotion and spatial transformations.

Echoplanar functional magnetic resonance imaging (fMRI) was used to localize the cortical areas involved in the analysis of spatially transformed letter strings. Significant increases of the blood oxygen level-dependent (BOLD) signal for transformed vs normal reading were observed in the superior parietal lobule (SPL), along the intraparietal sulcus (IPS), in the frontal eye fields (FEF), and in the latero-occipital area LO. The respective contributions of oculomotor and spatial transformation areas to this activation pattern were separated by means of a control condition involving the execution and suppression of eye movements. Areas activated in association with the control of eye movements included the superior parietal lobule and the frontal eye fields. The cooperation of different brain areas was analysed by correlating the time course of task-dependent BOLD signal changes in these areas. This correlation analysis revealed coactivation of occipitotemporal object recognition areas and a spatial transformation area in the intraparietal sulcus during the reading of transformed letter strings. We suggest that cortical systems that are coactivated during complex cognitive tasks can be differentiated by the correlation analysis of BOLD signal time courses in spatially separate brain areas.

Adult↗
PubMed2000

ERPs and PET analysis of time perception: spatial and temporal brain mapping during visual discrimination tasks.

ERPs were recorded from 12 subjects performing duration and intensity visual discrimination tasks which have been previously used in a PET study. PET data showed that the same network was activated in both tasks [P. Maquet et al., NeuroImage 3:119-126, 1996]. Different ERP waveforms were observed for the late latency components depending on the dimension of the stimulus to be processed: frontal negativity (CNV) for the duration task and parieto-occipital positivity (P300) for the intensity task. Using BESA software, the sources were first modelled with a "PET dipolar model" (right prefrontal, right parietal, anterior cingulate, left and right fusiforms). To obtain a better fit for ERPs recorded in each task, two sources (cuneus, left prefrontal area) had to be added. Consistently with PET findings, dipole modelling indicates that duration and intensity dimensions of a visual stimulus are processed in the same areas. However, ERPs also reveal prominent differences between the time course of the dipole activations for each task, particularly for sources contributing to the late latency ERP components. In the intensity task, dipoles located in the cuneus, the anterior cingulate, and the left prefrontal area yield largest activity within the P300 interval, then activity diminishes rapidly as the stimulus ends, whereas in the duration task, the cuneus and anterior cingulate are still active several hundred milliseconds following stimulus offset. Moreover, in the duration task, the activity of the right frontal dipole parallels the CNV waveform, whereas in the intensity task, this dipole is largely inactive. We assume that the right frontal area plays a specific role in the formation of temporal judgments.

Adult↗