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[Preliminary results on the residence distribution at birth of patients with Alzheimer's disease in the Saguenay-Lac-Saint-Jean/Quebec (the IMAGE project)].

The IMAGE Project is pursuing the establishment of a population-based registry of Alzheimer's disease (AD) cases in the Saguenay-Lac-Saint-Jean (SLSJ) (Quebec). The authors report on the spatial distribution at birth of 221 possible, probable and definite cases. A large network of key-informants for screening AD cases has been established over SLSJ. The spatial distribution of cases at birth and at the onset of disease has been computed by calculating the Alzheimer birth rate (ABR) on the basis of three scales: six specific geographical spheres of screening, all municipalities, and the public health departments. The statistical significance of results was determined using the theoretical Poisson and the Chi square distributions. ABR for each of the geographical spheres of screening showed no statistically significant differences considering either residence at the onset of the disease or residence at birth. Furthermore, differences were observed between rural and urban areas with an interesting trend for a higher number of cases than expected in one area of SLSJ. The spatial distribution of cases considered on the basis of residence at birth appears to show a different pattern, but no significant, from that measured on the basis of residence at the onset of disease. Screening of cases is actively being pursued all across SLSJ by the IMAGE network. There is a clear trend towards rural residence at birth of cases. It remains to see whether or not this observation is due to a geographical concentration of familial cases.

Alzheimer Disease↗
PubMed2004

High resolution NMR microscopy of plants and fungi.

Nuclear magnetic resonance (NMR) microscopy is a completely noninvasive technique that can be used to acquire images with high spatial resolution through opaque objects such as plant organs and tissue parts. The image contrast can be chosen to represent the anatomical details or to visualize the spatial distribution of a range of physico-chemical parameters such as the apparent diffusion constant of water or the velocity of water flow within plants in vivo. In addition, images can be generated which show the spatial distribution of metabolites. Furthermore, it is possible to detect chemical compounds labelled with the stable isotope (13)C and to generate images showing the spatial distribution of the (13)C label in the intact plant. The ability to monitor water flow and transport of (13)C-labelled tracer in intact plants with NMR microscopy favours the use of this technique in the investigation of long-distance transport processes in plants. A short introduction into the technical principles of NMR microscopy is provided and the problems associated with applications to plants are summarized. The potential of the technique is explained with applications to Zinnia elegans plants, wheat grains and Brassica napus siliques.

Carbon Isotopes↗
PubMed1988

Spatial clumping of sexually receptive females induces space sharing among male voles.

The spatial organization of individuals in populations (their spacing system) can be highly variable even among populations of the same species. As spacing systems have important consequences for ecological processes such as population regulation, competition and mating systems, there have been many attempts to explore factors that may cause this variation. For mammals, it has been argued that the spatial distribution of sexually receptive females is the most important factor determining the spacing system of males, whereas habitat characteristics are most important to females. This has been difficult to test experimentally as it requires manipulations of the spatial distribution of the opposite sex without changing other properties of the environment. Here, I present a novel experimental procedure that can achieve this and demonstrate that the spatial distribution of the opposite sex in a population of voles is indeed an important determinant of the spacing system of males, but not of females. However, the effects on males are different from those predicted by many theoretical studies.

Animals↗
PubMed2001

Real-time three-dimensional color Doppler echocardiography for characterizing the spatial velocity distribution and quantifying the peak flow rate in the left ventricular outflow tract.

Quantification of flow with pulsed-wave Doppler assumes a "flat" velocity profile in the left ventricular outflow tract (LVOT), which observation refutes. Recent development of real-time, three-dimensional (3-D) color Doppler allows one to obtain an entire cross-sectional velocity distribution of the LVOT, which is not possible using conventional 2-D echo. In an animal experiment, the cross-sectional color Doppler images of the LVOT at peak systole were derived and digitally transferred to a computer to visualize and quantify spatial velocity distributions and peak flow rates. Markedly skewed profiles, with higher velocities toward the septum, were consistently observed. Reference peak flow rates by electromagnetic flow meter correlated well with 3-D peak flow rates (r = 0.94), but with an anticipated underestimation. Real-time 3-D color Doppler echocardiography was capable of determining cross-sectional velocity distributions and peak flow rates, demonstrating the utility of this new method for better understanding and quantifying blood flow phenomena.

Animals↗
PubMed1990

Functional topography of cat primary auditory cortex: distribution of integrated excitation.

1. Neuronal responses to tones and transient stimuli were mapped with microelectrodes in the primary auditory cortex (AI) of barbiturate anesthetized cats. Most of the dorsoventral extent of AI was mapped with multiple-unit recordings in the high-frequency domain (between 5.8 and 26.3 kHz) of all six studied cases. The spatial distributions of 1) sharpness of tuning measured with pure tones and 2) response magnitudes to a broadband transient were determined in each of three intensively studied cases. 2. The sharpness of tuning of integrated cluster responses was defined 10 dB above threshold (Q10 dB, integrated excitatory bandwidth). The spatial reconstructions revealed a frequency-independent maximum located near the center of the dorsoventral extent of AI. The sharpness of tuning gradually decreased toward the dorsal and ventral border of AI in all three cases. 3. The sharpness of tuning 40 dB above response threshold was also analyzed (Q40 dB). The Q40 dB values were less than one-half of the corresponding Q10 dB value. The spatial distribution showed a maximum in the center of AI, similar to the Q10 dB distribution. In two out of three cases, restricted additional maxima were recorded dorsal to the main maximum. Overall, Q10 dB and Q40 dB were only moderately correlated, indicating that the integrated excitatory bandwidth at higher stimulus levels can be influenced by additional mechanisms that are not active at lower levels. 4. The magnitude of excitatory responses to a broadband transient (frequency-step response) was determined. The normalized response magnitude varied between less than 1% and up to 100% relative to a characteristic frequency (CF) tone response. The step-response magnitude showed a systematic spatial distribution. An area dorsal to the Q10 dB maximum consistently showed the largest response magnitude surrounded by areas of lower responsivity. A second spatially more restricted maximum was recorded in the ventral-third of each map. Areas with high-transient responsiveness coincided with areas of broad integrated excitatory bandwidth at comparable stimulus levels. 5. The distribution of excitation produced by narrowband and broadband signals suggest that there exists a clear functional organization in the isofrequency domain of AI that is orthogonal to the main cochleotopic organization of the AI. Systematic spatial variations of the integrated excitatory bandwidth reflect underlying cortical processing capacities that may contribute to a parallel analysis of spectral complexity, e.g., spectral shape and contrast, at any given frequency.(ABSTRACT TRUNCATED AT 400 WORDS)

Acoustic Stimulation↗
PubMed2002

Integrated economic-ecological analysis and evaluation of management strategies on nutrient abatement in the Rhine basin.

Management of river basins involves the making of informed choices about the desired levels of economic activities and ecosystem functioning in the catchment. Information on the economic and ecological effects of measures as well as their spatial distribution is therefore needed. This paper proposes the following instruments to support decision-making in river basins: (1) the linking of models and indicators to describe the economic and ecological effects of management actions and their spatial distribution and (2) an extended evaluation framework that aims to evaluate management actions on three objectives for sustainable river management. These are cost-effectiveness, spatial equity, and environmental quality. This paper illustrates the potential of these instruments for river basin management by a case-study on nutrient management in the Rhine basin. In this case-study four nutrient abatement strategies are formulated, based on policies of the International Commission for the Protection of the Rhine and the North Sea Commission. These strategies are analysed and evaluated on their contribution to the three management objectives. Results show that none of these strategies score highest on cost-effectiveness, spatial equity and environmental quality simultaneously. It appears that cost-effectiveness is in conflict with environmental quality, whereas spatial equity and cost-effectiveness show quite close correspondence. This means that a trade-off has to be made between costs and spatial equity on the one hand, and environmental standards on the other hand. This paper offers a framework to make these trade-offs more explicit and provides quantitative information on cause-effect relationships, economic and environmental effects and the spatial distribution of these effects for various management strategies. This information can be particularly useful in the development of compromises required to establish international agreement and co-operation.

Conservation of Natural Resources↗
PubMed1994

The anatomic organization of evoked potentials in rat parietal cortex: electrically evoked commissural responses.

1. Two 8 x 8 channel microelectrode arrays were positioned over 3.5 x 3.5 mm2 areas in homologous regions of right and left parietal cortex of four rats. Potentials were evoked by delivering epicortical electrical stimulation to each electrode on one hemisphere while mapping the commissural response from the contralateral array. Spatial distributions of the electrically evoked potential (EECP) complex were compared directly with cytochrome oxidase-stained sections of the recorded region. 2. Electrode sites most capable of eliciting a commissural EECP were arranged along a diagonal band extending medially from the rostral to caudal region of each electrode array, approximating the pattern of dysgranular cortex separating primary auditory (Te1) from primary somatosensory (Par1) cortex. Electrode sites in the rostromedial and caudolateral region were ineffectual in eliciting an EECP in either hemisphere. Stimulation sites within secondary visual cortex (Oc2L) also produced strong responses. Only weak responses were elicited from stimulation of Te1 and no EECP could be evoked when stimulating within Par1. 3. When an EECP in the maximally sensitive diagonal region was elicited, its spatial distribution was typically asymmetrical throughout the recording array; the response was largest along a diagonal region also extending medially from the rostral to caudal area of each electrode array. Thus the pattern of EECP in each hemisphere closely matched the pattern of electrically excitable regions in the contralateral hemisphere. 4. The EECP was usually heterogeneous. EECP distributions within the strongly responding diagonal area often formed two regions of maximum amplitude separated by a less active zone. Although responses in Te1 were significantly weaker than those in the adjacent dysgranular cortex, they also revealed a heterogeneous spatial distribution with multiple closely spaced maxima. Only responses in Oc2L appeared consistently homogeneous, with a single maximum representing the EECP. 5. These results provide functional evidence supporting a model of parietal cortex in which there are two basic types of recipient regions, densely granular regions, which are the termination sites of specific thalamocortical fibers, and dysgranular or agranular regions, which receive both ipsilateral and contralateral projections. The functional parceling of rodent parietal cortex on the basis of the spatial and temporal distribution of the epicortical evoked potential complex may be superimposed onto the anatomic parceling into granular and dysgranular zones. Implications for stages of sensory information processing are discussed.

Animals↗
PubMed1994

Turbulent stresses downstream of three mechanical aortic valve prostheses in human beings.

High levels of turbulent stresses resulting from disturbed blood flow may cause damage to red blood cells and platelets. The purpose of this study was to evaluate the spatial distribution and temporal development of turbulent stresses downstream of three mechanical aortic valve prostheses in human subjects: the St. Jude Medical, the CarboMedics, and the Starr-Edwards silicone rubber ball. Blood velocity measurements were taken at 17 measuring points in the cross-sectional area of the ascending aorta 5 to 6 cm downstream of the aortic anulus with the use of a perivascular pulsed Doppler ultrasound system. Turbulence analysis was done for each of the 17 measuring points by calculating the radial Reynolds normal stresses within 50 msec overlapping time windows during systole. By coordinating the calculated Reynolds normal stress values for each time window and for all measuring points, computerized two-dimensional color-coded mapping of the turbulent stress distribution during systole was done. For the St. Jude Medical valves the highest Reynolds normal stress (27 to 63 N/m2) were found along the central slit near the vessel walls. The temporal development and spatial distribution of Reynolds normal stresses for the CarboMedics valves were quite similar to those of the St. Jude Medical valves with maximum Reynolds normal stress values ranging from 19 to 72 N/m2. The typical Reynolds normal stress distribution for the Starr-Edwards silicone rubber ball valves was asymmetric, revealing the highest Reynolds normal stresses (11 to 56 N/m2) at various locations in the annular region between the ball and the vessel wall. The spatial distribution and temporal development of turbulent stresses downstream of the three investigated mechanical aortic valve prostheses correlated well with the superstructure of the valves. The maximum Reynolds normal stresses for the three valve types were in the same order of magnitude with exposure times sufficient to cause sublethal damage to red blood cells and platelets.

Adult↗
PubMed2003

Topography of photoreceptors and retinal ganglion cells in the spotted hyena (Crocuta crocuta).

The spatial distributions of photoreceptors and retinal ganglion cells were examined in the spotted hyena (Crocuta crocuta). Two populations of cones were identified by immunocytochemical labeling. The hyena retina contains approximately 2.3 million middle- to long-wavelength sensitive (M/L) cones that reach peak densities of about 7,500/mm(2) in the vicinity of the optic nerve head. A sparser population of short-wavelength sensitive (S) cones, totaling about 0.3 million, was also detected. There is a striking disparity in the spatial distributions of the two cone types with S cones achieving peak density in a region located well below the optic nerve head. The differences in the spatial distributions of the two cone types have implications both for visual sensitivity and for color vision. Hyena rods outnumber cones by about 100:1 with rod density falling off modestly along a central-peripheral gradient. Ganglion cells were identified in retinal wholemounts by Nissl staining patterns. Their distribution defines a prominent visual streak with highest spatial packing (approx. 4,200/mm(2)) in an area centralis that is located in the temporal retina. The total number of ganglion cells is estimated at about 260,000. Using standard assumptions the maximum spatial resolution of the spotted hyena is calculated to be about 8.4 cycles/degree, a value similar to estimates obtained for other terrestrial carnivores.

Animals↗
PubMed2005

Long-term changes in sequence of atrial activation and refractory periods: no evidence for "atrial memory".

OBJECTIVES: The purpose of this study was to test whether the spatial distribution of the atrial refractory period (AERP) and the vulnerability to atrial fibrillation (AF) are altered by long-term changes in the sequence of atrial activation. BACKGROUND: The spatial distribution of the AERP plays an important role in AF. Changes in the activation sequence have been postulated to modulate atrial repolarization ("atrial memory"). METHODS: Six goats were chronically instrumented with epicardial atrial electrodes to determine activation time and AERP at 11 different areas of the right (RA) and left (LA) atrium and the Bachmann bundle. Activation time and AERP were measured during sinus rhythm and during prolonged RA and LA pacing (1 week RA pacing, 2 weeks LA pacing, 1 week RA pacing; 150 bpm). Inducibility of AF was determined by the number of atrial sites where single premature stimuli induced AF paroxysms >1 second. RESULTS: During sinus rhythm (106 +/- 4 bpm), AERP was longest at the Bachmann bundle and shortest at the LA free wall (185 +/- 6 ms and 141 +/- 5 ms, P < .001). In five of six goats, an inverse correlation between local activation time and AERP was found during sinus rhythm (r = -0.53 +/- 0.05; P < .05). The increase in atrial rate during RA and LA pacing caused an overall shortening of AERP from 167 +/- 6 ms to 140 +/- 6 ms (P < .001). However, a switch between long-term RA and LA pacing did not significantly change AERP at any of the 11 atrial regions and had no significant effect on AF inducibility. CONCLUSIONS: During sinus rhythm, an inverse relationship exists between the sequence of atrial activation and the local refractory period. However, long-term changes in the sequence of atrial activation do not alter the spatial distribution of AERP or the inducibility of AF.

Action Potentials↗
PubMed1985

[Haitians in Montreal: demographic and spatial evolution].

"Analysing demographic characteristics over a given period may be useful in explaining the spatial distribution of ethnic groups in an urban environment. This paper first presents the main aspects of the demographic evolution of Quebec's Haitian population during the 1971-1981 period. It then analyses the evolution of the spatial distribution of this population in the Montreal region. It finally tries to show the interrelations between both evolutions." (SUMMARY IN ENG AND SPA)

Americas↗
PubMed1998

Environmental Assessment of Benthic Impacts Associated with Pulp Mill Discharges. II. Distribution of Sediment EOX in Relation to Environmental Factors

Between 1991 and 1992, comprehensive toxicological, chemical, and benthic community structure surveys were conducted at Jackfish Bay, Lake Superior, Ontario, to assess sediment quality below a bleached kraft mill effluent (BKME) outfall. In this report, we describe the spatial distribution and concentration of extractable organic chlorines (EOX) in sediments below the outfall in relation to effluent discharge patterns, sediment deposition, and bioaccumulation potential. Triplicate sediment samples were collected by Ekman grab from 29 and 44 stations in 1991 and 1992, respectively, and from 15 stations in three reference areas not exposed to the effluent. For each sample, organic carbon content, dry weight, and sediment-associated EOX were determined. In addition, sediment traps were used to determine sediment deposition along two tangents transecting the effluent plume and at a reference station located approximately 4,200 m from the outfall. The spatial distribution of sediment EOX consisted of two distinct concentration gradients, each linked to effluent discharge patterns from Blackbird Creek and dominant circulatory patterns in Jackfish Bay: a north-south gradient, extending along the west shore of Jackfish Bay, and a east-west gradient. Sediment EOX ranged from 7,000 mg/kg organic carbon (oc) (2,050 mg/kg dry solids (ds)) in depositional sediments of Moberley Bay to nondetectable at some stations in eastern and outer Jackfish Bay. Reference (background) concentrations ranged from nondetectable to 3,000 mg/kg oc (1-15 mg/kg ds). The attenuation of EOX was significantly correlated with the rate of sediment deposition (r2 = 0.57; p </= 0.001). Although the concentration of sediment EOX was strongly correlated with toxicity to some invertebrates (Sibley et al. [1997] Arch Environ Contam Toxicol 32:274-284), bioaccumulation factors were typically <2 based on analysis of oligochaete tissues. The results of this study demonstrate that the spatial distribution of sediment-associated contaminants adjacent to pulp mill effluent outfalls are determined primarily by hydrodynamic and depositional characteristics of the receiving waters and that EOX can be used to accurately delineate areas of contamination.

Journal Article↗
PubMed2004

An MRI study of spatial probability brain map differences between first-episode schizophrenia and normal controls.

We created a spatial probability atlas of schizophrenia to provide information about the neuroanatomic variability of brain regions of patients with the disorder. Probability maps of 16 regions of interest (ROIs) were constructed by taking manually parcellated ROIs from subjects' magnetic resonance images (MRIs) and linearly transforming them into Talairach space using the Montreal Neurological Institute (MNI) template. ROIs included temporal, parietal, and prefrontal cortex subregions, with a principal focus on temporal lobe structures. Subject Ns ranged from 11 to 28 for the different ROIs. Our global measure of the spatial distribution of the transformed ROI was the sum of voxels with 50% overlap among subjects. The superior temporal gyrus (STG) and fusiform gyrus (FG) had lower values for schizophrenic subjects than for normal controls, suggestive of greater spatial variability for these ROIs in schizophrenic subjects. For the computation of statistical significance of group differences in portions of the ROI, we used voxel-wise comparisons and Fisher's exact test. First-episode schizophrenic patients compared with controls showed lower probability (P < 0.05) at dorso-posterior areas of planum temporale and Heschl's gyrus, lateral and anterior regions in the left hippocampus (HIPP), and dorsolateral regions of fusiform gyrus. Importantly, most ROIs of schizophrenic subjects showed a significantly lower spatial overlap than controls, even after nonlinear spatial normalization, suggesting a greater heterogeneity in the spatial distribution of ROIs. There is consequently a need for caution in neuroimaging studies where data from schizophrenic subjects are normalized to a particular stereotaxic coordinate system based on healthy controls. Apparent group differences in activation may simply reflect a greater heterogeneity of spatial distribution in schizophrenia.

Adult↗
PubMed2004

GIS modeling of air toxics releases from TRI-reporting and non-TRI-reporting facilities: impacts for environmental justice.

The Toxics Release Inventory (TRI) requires facilities with 10 or more full-time employees that process > 25,000 pounds in aggregate or use > 10,000 pounds of any one TRI chemical to report releases annually. However, little is known about releases from non-TRI-reporting facilities, nor has attention been given to the very localized equity impacts associated with air toxics releases. Using geographic information systems and industrial source complex dispersion modeling, we developed methods for characterizing air releases from TRI-reporting as well as non-TRI-reporting facilities at four levels of geographic resolution. We characterized the spatial distribution and concentration of air releases from one representative industry in Durham County, North Carolina (USA). Inclusive modeling of all facilities rather than modeling of TRI sites alone significantly alters the magnitude and spatial distribution of modeled air concentrations. Modeling exposure receptors at more refined levels of geographic resolution reveals localized, neighborhood-level exposure hot spots that are not apparent at coarser geographic scales. Multivariate analysis indicates that inclusive facility modeling at fine levels of geographic resolution reveals exposure disparities by income and race. These new methods significantly enhance the ability to model air toxics, perform equity analysis, and clarify conflicts in the literature regarding environmental justice findings. This work has substantial implications for how to structure TRI reporting requirements, as well as methods and types of analysis that will successfully elucidate the spatial distribution of exposure potentials across geographic, income, and racial lines.

Air Pollutants↗
PubMed1994

Quantitative morphologic study of intimal thickening at the human carotid bifurcation: I. Axial and circumferential distribution of maximum intimal thickening in asymptomatic, uncomplicated plaques.

The spatial distribution of intimal thickening was determined for each of 42 carotid bifurcations removed at autopsy from patients with no clinical or anatomic evidence of cerebrovascular disease. Both right and left specimens were available for six of the individuals. Each bifurcation was removed intact and included a 1.5-2.9-cm length of the common carotid artery and a 1.5-2.5-cm length of the internal carotid artery. The specimens were restored to in situ length, fixed under conditions of controlled-pressure perfusion at 100 mmHg, filled with a radio-opaque mixture, radiographed and sectioned at 0.5-cm intervals. Computer assisted contour tracing of projected images of histologic sections was used to determine intimal thickness, intimal cross sectional area and lumen area within each of eight equal 45 degrees polar sectors with 0 degree indexed at the flow divider, 90 degrees at the outside wall, 180 degrees opposite the flow divider and 270 degrees at the inner side wall. Intima occupied 0.9-42% of the area encompassed by the internal elastic lamina, i.e. the potential lumen area if no intimal thickening were present, but there was no lumen narrowing on lateral X-ray projections. Intimal thickening was eccentric at each level of section but the circumferential location of maximum intimal thickness (MIT) shifted in a continuous helix from level to level. At the common carotid artery level 1.0 cm proximal to the bifurcation, MIT tended to be at the flow-divider side at 15 +/- 59 degrees. Immediately proximal to the flow divider, MIT was at the lateral side wall. In the mid-sinus region of the internal carotid artery MIT was opposite the flow divider at 179 +/- 64 degrees. At the distal internal carotid just beyond the sinus, MIT was at the inner side wall. The distal internal carotid was minimally involved or free of intimal thickening. Comparison of right and left bifurcations revealed that the helical spatial distribution of MIT was in mirror-image symmetry for the two sides. The findings correspond closely with previous demonstrations of a helical flow pattern in the region of the bifurcation. Although locations of MIT just proximal and just distal to the bifurcation are similar and tend to be at the 'far wall', individual differences in the shifts of MIT with axial location should be taken into account when sites of interrogation by non-invasive clinical methods are selected for detection of intimal thickening.

Adult↗
PubMed2000

Statistical properties of passive tracers in a positive four-point vortex model

Stochastic properties of systems formed by many passive particles conducted by four point vortices, each one with positive circulation, are investigated. A statistical chi(2) test is developed in order to study the spatial distribution of particles in the chaotic background (lambda(L)>0). The fact that the uniform distribution is an invariant measure of the spatial distribution of particles is used to debug the chi(2) test. This procedure is applied in the same conditions as described in Babiano et al. in order to study the uniformity of passive particles. It is observed that uniformity is not attained up to times of order 10(5) natural time unity, when either a Gaussian or a uniform initial distribution is considered in a small region away from the vortices.

Journal Article↗
PubMed1996

An effect of alcohol on the distribution of spatial attention.

OBJECTIVE: Previous research on the effects of alcohol on visual performance led us to the prediction that alcohol should interfere with the distribution of visual spatial attention. This prediction was examined in two experiments that measured the effect of alcohol on reaction time (RT) for tasks that differed in visual spatial attention requirements. METHOD: In the first experiment, 48 adult volunteers (33 female) responded to either the onset or offset of one of five potential targets without alcohol to determine the relative demands on attention of stimulus onset and offset. The spatial extent of the five-target display was also varied. In the second experiment, the effect of alcohol was determined for both the onset and the offset tasks in 12 adult volunteers (nine female). RESULTS: The offset task was found to place greater demands on spatial attention as the increase in display area result in relatively greater increases in RT. Alcohol increased RT in the offset task for the larger, but not the smaller, display, and there were no significant effects of alcohol for the onset task. CONCLUSIONS: The results indicate that alcohol impairs performance on tasks that place greater demands on visual spatial attention and likely disrupts the ability to shift attention from one spatial locus to another during serial search.

Adolescent↗
PubMed2006

Analysis of neighborhood dynamics of forest ecosystems using likelihood methods and modeling.

Advances in computing power in the past 20 years have led to a proliferation of spatially explicit, individual-based models of population and ecosystem dynamics. In forest ecosystems, the individual-based models encapsulate an emerging theory of "neighborhood" dynamics, in which fine-scale spatial interactions regulate the demography of component tree species. The spatial distribution of component species, in turn, regulates spatial variation in a whole host of community and ecosystem properties, with subsequent feedbacks on component species. The development of these models has been facilitated by development of new methods of analysis of field data, in which critical demographic rates and ecosystem processes are analyzed in terms of the spatial distributions of neighboring trees and physical environmental factors. The analyses are based on likelihood methods and information theory, and they allow a tight linkage between the models and explicit parameterization of the models from field data. Maximum likelihood methods have a long history of use for point and interval estimation in statistics. In contrast, likelihood principles have only more gradually emerged in ecology as the foundation for an alternative to traditional hypothesis testing. The alternative framework stresses the process of identifying and selecting among competing models, or in the simplest case, among competing point estimates of a parameter of a model. There are four general steps involved in a likelihood analysis: (1) model specification, (2) parameter estimation using maximum likelihood methods, (3) model comparison, and (4) model evaluation. Our goal in this paper is to review recent developments in the use of likelihood methods and modeling for the analysis of neighborhood processes in forest ecosystems. We will focus on a single class of processes, seed dispersal and seedling dispersion, because recent papers provide compelling evidence of the potential power of the approach, and illustrate some of the statistical challenges in applying the methods.

Computer Simulation↗