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[Geostatistical analysis on spatial patterns of Didesmococcus koreanus Borchs and Chilocorus rubidus Hope].

The spatial pattern and correlation of Didesmococcus koreanus Borchs and Chilocorus rubidus Hope in different periods were investigated with geostatistics. The results showed that the semivariogram of Didesmococcus koreanus Borchs and Chilocorus rubidus Hope could be described by spherical model, indicating that their spatial pattern were in agreement. The spatial variation was arosed by its spatial autocorrelation in small scales, and the spatial pattern had no apparent changes in different periods. The range varied from 9.56-15.70 m and from 18.83-19.74 m, respectively. The amount and spatial distribution of Chilocorus rubidus Hope was closely related to that of Didesmococcus koreanus Borchs, which revealed that Chilocorus rubidus Hope was the dominant natural enemy of Didesmococcus koreanus Borchs.

Animals↗

What does the study of the spatial patterns of pathological lesions tell us about the pathogenesis of neurodegenerative disorders?

Discrete pathological lesions, which include extracellular protein deposits, intracellular inclusions and changes in cell morphology, occur in the brain in the majority of neurodegenerative disorders. These lesions are not randomly distributed in the brain but exhibit a spatial pattern, that is, a departure from randomness towards regularity or clustering. The spatial pattern of a lesion may reflect pathological processes affecting particular neuroanatomical structures and, therefore, studies of spatial pattern may help to elucidate the pathogenesis of a lesion and of the disorders themselves. The present article reviews first, the statistical methods used to detect spatial patterns and second, the types of spatial patterns exhibited by pathological lesions in a variety of disorders which include Alzheimer's disease, Down syndrome, dementia with Lewy bodies, Creutzfeldt-Jakob disease, Pick's disease and corticobasal degeneration. These studies suggest that despite the morphological and molecular diversity of brain lesions, they often exhibit a common type of spatial pattern (i.e. aggregation into clusters that are regularly distributed in the tissue). The pathogenic implications of spatial pattern analysis are discussed with reference to the individual disorders and to studies of neurodegeneration as a whole.

Brain↗

No evidence for overshadowing or facilitation of spatial pattern learning by visual cues.

Two experiments were conducted to examine the effects of redundant and relevant visual cues on spatial pattern learning. Rats searched for hidden food items on the tops of poles that formed a square (Experiment 1) or a checkerboard (Experiment 2) pattern. The experimental groups were trained with visual cues that specified the locations of the baited poles. All groups were tested without visual cues so that any overshadowing or facilitation of spatial pattern learning by visual cues could be detected. Spatial choices were controlled by the spatial pattern and by the visual cues in both experiments. However, there was no evidence of overshadowing or facilitation of spatial pattern learning by visual cues in either experiment. The results are consistent with the idea that the representation of the spatial pattern that guides choices is not controlled by the same learning processes as those that produce associations between visual cues and food locations.

Animals↗

Spatial patterns of shiny cowbird brood parasitism on chestnut-capped blackbirds

Shiny cowbirds, Molothrus bonariensisparasitized a high frequency (average 48%) of nests in five colonies of chestnut-capped blackbirds, Agelaius ruficapillusin Argentina. Two distinct egg morphs occurred, spotted and immaculate white eggs, as well as a few very lightly spotted intermediate eggs. The clear differences between morphs, combined with considerable variation in spotting pattern between spotted morph eggs, made it possible to visually match eggs into groups that were probably laid by single females. Eggs attributed to a single female were more similar in size and shape than eggs attributed to different females. Using egg dimensions and colour patterns to infer spatial patterns of laying by individual females indicated that: (1) individual brood parasites often laid several eggs in the same colony, (2) females also laid eggs in more than one colony, and (3) several females laid eggs in each colony, and often in the same host nests, ruling out the notion that parasites defend exclusive territories with respect to host nests. Multiple cowbird eggs per host nest invariably resulted from several females laying in the same host nest: egg morphs and visual comparisons of spotting patterns at 14 nests indicated that individual females never laid more than a single egg in the same host nest. Experimental parasitism of nests with spotted and white morph eggs, combined with observations of naturally parasitized nests, demonstrated that chestnut-capped blackbirds accept all morphs of cowbird eggs. Since other important host species reject white eggs, however, the adaptive maintenance of the white morph is difficult to explain.Copyright 1997 The Association for the Study of Animal Behaviour1997The Association for the Study of Animal Behaviour

Journal Article↗

Scale-dependent feedback and regular spatial patterns in young mussel beds.

In the past decade, theoretical ecologists have emphasized that local interactions between predators and prey may invoke emergent spatial patterning at larger spatial scales. However, empirical evidence for the occurrence of emergent spatial patterning is scarce, which questions the relevance of the proposed mechanisms to ecological theory. We report on regular spatial patterns in young mussel beds on soft sediments in the Wadden Sea. We propose that scale-dependent feedback, resulting from short-range facilitation by mutual protection from waves and currents and long-range competition for algae, induces spatial self-organization, thereby providing a possible explanation for the observed patterning. The emergent self-organization affects the functioning of mussel bed ecosystems by enhancing productivity and resilience against disturbance. Moreover, self-organization allows mussels to persist at algal concentrations that would not permit survival of mussels in a homogeneous bed. Our results emphasize the importance of self-organization in affecting the emergent properties of natural systems at larger spatial scales.

Animals↗

Capillary spatial pattern and muscle fiber geometry in three hamster striated muscles.

The primary goal of this project was to elucidate the spatial pattern of capillaries in three hamster striated muscles according to statistical techniques of pattern analysis. The spatial pattern of capillaries and traditional measures of capillarity are important to understanding the supply and distribution of oxygen and nutrients in a tissue. Statistical tests based on the distance between nearest neighbor capillaries are the most sensitive for detecting regularity in a pattern. A mathematical model was created to simulate the observed muscle fields. The same statistical tests that were performed on the empirical data were performed on the modelled data. The results of the analysis of the modelled data agree sufficiently with those of the empirical data to justify overall confidence in the assumptions. Conclusions that may be drawn from this investigation are (1) the spatial pattern of capillaries tends to be more regular than random and never was there evidence for aggregation using the test statistics; (2) as many as 60-75% of capillaries are located at the corners of muscle fibers indicating that there is some preferential placement for capillaries, and (3) the model developed is a good first approximation to the real situation.

Animals↗

Uncertainty assessment of spatial patterns of soil organic carbon density using sequential indicator simulation, a case study of Hebei province, China.

The spatial patterns of soil organic carbon (SOC) are closely related to the global climate change. In quantifying the spatial patterns of SOC density, the concept of uncertainty of the SOC density values at unsampled locations is particularly important because such uncertainty can be propagated into the subsequent global climate change modelling and has fundamental impacts on the ultimate results of the model. A total of 361 SOC density data of topsoil (0-20 cm) in Hebei province and sequential indicator simulation (SIS) were applied to perform a conditional stochastic simulation in this study to quantitatively assess the uncertainty of mapping SOC density. The results showed that a great variation exists in the SOC density data. The conditional variance of 500 realizations generated by SIS was larger in mountainous areas of the study area where the SOC density fluctuated the most, and the uncertainty was smaller on the plain area where SOC density was consistently small. Realizations generated by SIS can represent the possible spatial patterns of SOC density without smoothing effect. A set of realizations can be used to explore all possible spatial patterns of SOC density and provide a visual and quantitative measure of the spatial uncertainty of mapping SOC density. With a given threshold of SOC density, SIS can quantitatively assess both local uncertainty and spatial uncertainty of SOC density that is greater the threshold.

Carbon↗

Spatial patterns of the vacuolation in subcortical white matter in sporadic Creutzfeldt-Jakob disease (sCJD).

OBJECTIVE: To study the spatial patterns of the vacuolation ("spongiform change") in the subcortical white matter in the "classical" form of sporadic Creutzfeldt-Jakob disease (sCJD). MATERIAL: Frontal, parietal, occipital and temporal lobes of 11 cases of sCJD. METHOD: Spatial patterns were studied across the white matter at the base of the gyri using spatial pattern analysis. RESULTS: In the white matter of all gyri studied, vacuoles were aggregated into clusters, 50 to > 800 microm in diameter and in 22/37 (59%) of gyri, the clusters of vacuoles exhibited a regular distribution across the base of the gyri. In the remaining gyri, the vacuoles were aggregated into large clusters, at least 400 microm or 800 microm in diameter, but without evidence of a regular distribution. In a significant proportion of gyri, the spatial patterns of the vacuolation were similar to those reported previously for spongiform change and prion protein (PrP) deposits in the corresponding grey matter. CONCLUSIONS: Degeneration of the white matter and the formation of clusters of vacuoles may occur before the degeneration of the grey matter or could be a consequence of pathology affecting the cortico-cortical pathways.

Aged↗

Spatial patterns of human gene frequencies in Europe.

The aims of this study of spatial patterns of human gene frequencies in Europe are twofold. One is to present new methodology developed for the analysis of such data. The other is to report on the diversity of spatial patterns observed in Europe and their interpretation as evidence of population processes. Spatial variation in 59 allele and haplotype frequencies (26 genetic systems) for polymorphisms in blood antigens, enzymes, and proteins is analyzed for an aggregate of 3,384 localities, using homogeneity tests, one-dimensional and directional spatial correlograms, and SYMAP interpolated surfaces. The data matrices are reduced to reveal the principal patterns by clustering techniques. The findings of this study can be summarized as follows: 1) There is significant heterogeneity in allele frequencies among the localities for all but one genetic system. 2) There are significant spatial patterns for most allele frequencies. 3) There is a substantial minority of clinal patterns in these populations. Clinal trends are found more frequently in HLA alleles than for other variables. North-south and northwest-southwest gradients predominate. 4) There is a strong decline in overall genetic similarity with geographic distance for most variables. 5) There are few, if any, appreciable correlations in pairs of allele frequencies over the continent, and there is little interesting correlation structure in the resulting correlation matrix. 6) Few spatial correlograms are markedly similar to each other, yet they form well-defined clusters. Spatial variation patterns, therefore, differ among allele frequencies. Patterns of human gene frequencies in modern Europe are diverse and complex. No single model suffices for interpretation of the observed genetic structure. Some clinal patterns reported here support the Neolithic demic-expansion hypothesis, others suggest latitudinal selection. Most of the clinal patterns are in HLA alleles, but there is also evidence from ABO for east-west migration diffusion. The majority of patterns are patchy, consistent with hypotheses of isolation by distance or of settlement of genetically differing, subsequently expanding ethnic groups. While undoubtedly there has been an ongoing stochastic process of differentiation consistent with the isolation-by-distance model, this has not obscured the directional patterns caused by migration (demic diffusion), and has perhaps only reinforced the contribution from settlement of ethnic units to patterns of genetic variation. However, the impact of the latter is most difficult to discern and requires further methodological developments.

ABO Blood-Group System↗

[Structure of flower in Arabidopsis thaliana: spatial pattern formation].

Morphological analysis of flowers was carried out in Arabidopsis thaliana wild type plants and agamous and apetala2 mutants. No direct substitution of organs takes place in the mutants, since the number and position of organs in them do not correspond to the structure of wild type flower. In order to explain these data, a notion of spatial pattern formation in the meristem was introduced, which preceded the processes of appearance of organ primordia and formation of organs. Zones of acropetal and basipetal spatial pattern formation in the flower of wild type plants were postulated. It was shown that the acropetal spatial pattern formation alone took place in agamous mutants and basipetal spatial pattern formation alone, in apetala2 mutants. Different variants of flower structure are interpreted as a result of changes in the volume of meristem (space) and order of spatial pattern formation (time).

AGAMOUS Protein, Arabidopsis↗

Spatial patterns in the control of human arm movement.

Generalized Procrustes analysis was used to investigate the spatial paths of pointing movements. In Experiment 1, 3 participants produced similar spatial paths of the hand when repeating a pointing movement many times, despite variability in the position and orientation of the movements. The average spatial path indicates a fundamental spatial pattern of the motor system, or motor primitive. This pattern varied across the workspace. Anterioposterior movements were straight, but repeated movements had variable spatial patterns. Lateral movements were curved away from the body but had regular spatial patterns. Experiment 2 extended these results to movements of different amplitudes in 7 participants. The motor primitive seems to be abandoned at the end of the movement in favor of final adjustments to bring the hand to the target position. In Experiment 3, the same participants produced similar motor primitives both with and without vision.

Arm↗

Spatial patterns of labile forms of phosphorus in a subtropical wetland.

Phosphorus (P) has been identified as the key constituent defining wetland productivity, structure, and function. Our goal was to investigate the spatial patterns of total P and three labile forms of P (labile organic, inorganic, and microbial biomass P) across a subtropical wetland located in east-central Florida, the Blue Cypress Marsh Conservation Area (BCMCA), and link spatial patterns to ecosystem processes. The wetland received a continual input of nutrients primarily from the south and intermittently from the west and east, respectively, which ceased in the mid-1990s. Since then the marsh system has been undergoing natural succession. We used (i) ordinary kriging to characterize the spatial patterns of total P and labile P forms across the wetland, (ii) local, moving spatial correlations to investigate relationships between total P and labile P forms, and (iii) a clustering technique to link the identified spatial patterns to biogeochemical processes. The spatially explicit analyses revealed patterns of total P and labile P forms as well as changing relationships between variables across the marsh. We were able to distinguish P-enriched areas from unaffected ("natural") areas and intermediate zones that are currently undergoing change as P is mobilized and translocated. We also identified areas that are at risk, showing a shift toward a more P-enriched status. Our results improve our understanding of P and its labile components within a spatially explicit context.

Ecosystem↗

[Determination of type and spatial pattern formation of flower organs: dynamic model of development].

The mathematical model imitating floral organ spatial pattern formation (positioning) was developed. Computer experiments performed on its basis demonstrated that organ spatial pattern formation in typical crucifer flower occurred in successive order: medial sepals, carpels, lateral sepals, long stamens, petals and short stamens. The positioning was advanced in two directions, acropetally in the perianth and basipetally in the stamens and carpels. The organ type specifying and positioning take place non-simultaneously in different floral areas. The organ type specifying passed ahead of organ primordial spatial pattern formation. The modeling of flower development of several mutants demonstrated that arabidopsis genes AP2 and AG in addition to specifying floral organ types also determine the particular zones in the floral meristem for futur organ development. The AG gene controls the formation of basipetal patterning zones where the reproductive organs develop, AP2 maintains the proliferative activity in the floral meristem that form acropetal patterning zones where perianth organ develop.

Arabidopsis↗

The spatial patterns of Lewy bodies, senile plaques, and neurofibrillary tangles in dementia with Lewy bodies.

The spatial patterns of Lewy bodies (LB), senile plaques (SP), and neurofibrillary tangles (NFT) were studied in ubiquitin-stained sections of the temporal lobe in cases of dementia with Lewy bodies (DLB), which varied in the degree of associated Alzheimer's disease (AD) pathology. In all patients, LB, SP, and NFT developed in clusters and in a significant proportion of brain areas, the clusters exhibited a regular periodicity parallel to the tissue boundary. In the lateral occipitotemporal gyrus (LOT) and parahippocampal gyrus (PHG), the clusters of LB were larger than those of the SP and NFT but in the hippocampus, clusters of the three lesions were of similar size. Mean cluster size of the LB, SP, and NFT was similar in cases of DLB with and without significant associated AD pathology. LB density was positively correlated with SP and NFT density in 42 and 17% of brain areas analyzed, respectively, while SP and NFT densities were positively correlated in 7% of brain areas. The data suggest that LB in DLB exhibit similar spatial patterns to SP and NFT in AD and that SP and NFT exhibit similar spatial patterns in DLB and AD. In addition, in some instances, clusters of LB appeared to be more closely related spatially to the clusters of SP than to NFT.

Aged↗

Self-reinforcing spatial patterns enslave evolution in a host-parasitoid system.

Spatially structured models of host-parasitoid interactions exhibit self-structuring into spatial patterns such as spiral waves and turbulence. We discuss the consequences of these patterns in an eco-evolutionary model of host-parasitoid interactions with evolution of the parasitoids' ability to disperse towards dense populations of hosts (termed the aggregation strength). It turns out that the direction of, and the time-scale over which the evolutionary selection pressure acts depends on the type of spatial pattern a parasitoid finds itself in. Evolution tends to reinforce the existence of the prevalent local pattern. Moreover, there is also competition between the patterns that ultimately determines the eco-evolutionary attractor. It is the interaction between multiple processes across spatial and temporal scales that leads to the rich meso-scale behaviour. Predicting the evolutionary outcome from statistical measures and subprocesses is shown to give incorrect and conflicting answers. Comparison with the behaviours of the complex Ginzburg-Landau equation shows striking similarities on which we comment.

Animals↗

Spatial patterns of mortality in Bangladesh.

This paper depicts the spatial patterns of mortality of the administrative upazilas of Bangladesh. Due to the absence of adequate data on mortality rates from across the country, the mortality rates of the upazilas are calculated from the age sex structure of the population of the respective upazilas employing the standardized mortality rates of divisional headquarters. Crude death rates are used to determine spatial patterns of mortality in Bangladesh. The patterns portray strong regional differences. Such differentiation is accounted for by traditional differences in demographic and socio-economic factors. Also, regression analysis is used to assist in explaining spatial variations.

Adolescent↗

Spatial pattern learning in rats: control by an iterative pattern.

Rats searched in a matrix of vertical poles for food hidden on top of the poles. The only information available about the location of the food was the consistent spatial pattern of the baited poles, which was a checkerboard. This spatial pattern of hidden-food locations came to control the choices of poles made by the rats. The experiments ruled out the possibility that this control can be explained by the acquisition of simple response tendencies to move from pole to pole. Instead, this behavioral control of choices was attributed to the development of a representation of the checkerboard pattern of baited locations. Spatial pattern learning may have mechanisms in common with other forms of pattern learning.

Animals↗

Spatial patterns of recreation impact on experimental campsites.

Management of camping impacts in protected areas worldwide is limited by inadequate understanding of spatial patterns of impact and attention to spatial management strategies. Spatial patterns of campsite impact were studied in two subalpine plant communities in the Wind River Mountains, Wyoming, USA (a forest and a meadow). Response to chronic disturbance and recovery from acute disturbance were both assessed. Previously undisturbed sites were camped on at intensities of one and four nights/year, for either one or three consecutive years. Recovery was followed for three years on sites camped on for one year. Percent bare ground, assessed in 49 contiguous 1 m2 quadrats, increased with increasing use frequency, particularly on the forest sites. Magnitude of impact varied spatially within campsites, with impact decreasing as distance from the center of the campsite increased. On the more fragile forest sites, this radial impact pattern developed rapidly and remained after three years of recovery. Concentration of camping activities around a centrally located small cooking stove was the apparent cause of this pattern. Maximum variation in magnitude of impact occurred at intermediate levels of campsite use and disturbance. The magnitude, variability and spatial pattern of impact varied with the spatial scale of analysis. Generally, results of these controlled experiments are consistent with earlier studies of campsites and validate the management implications derived from those studies. Even where campers use low-impact techniques, low levels of camping use can cause substantial impact and it is important to concentrate use. On resistant sites, however, it is possible that low levels of use can be sustained with minimal resultant impact.

Conservation of Natural Resources↗