scholarly journals The size-distribution of Earth’s lakes

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
B. B. Cael ◽  
D. A. Seekell

Abstract Globally, there are millions of small lakes, but a small number of large lakes. Most key ecosystem patterns and processes scale with lake size, thus this asymmetry between area and abundance is a fundamental constraint on broad-scale patterns in lake ecology. Nonetheless, descriptions of lake size-distributions are scarce and empirical distributions are rarely evaluated relative to theoretical predictions. Here we develop expectations for Earth’s lake area-distribution based on percolation theory and evaluate these expectations with data from a global lake census. Lake surface areas ≥0.46 km2 are power-law distributed with a tail exponent (τ = 2.14) and fractal dimension (d = 1.4), similar to theoretical expectations (τ = 2.05; d = 4/3). Lakes <0.46 km2 are not power-law distributed. An independently developed regional lake census exhibits a similar transition and consistency with theoretical predictions. Small lakes deviate from the power-law distribution because smaller lakes are more susceptible to dynamical change and topographic behavior at sub-kilometer scales is not self-similar. Our results provide a robust characterization and theoretical explanation for the lake size-abundance relationship, and form a fundamental basis for understanding and predicting patterns in lake ecology at broad scales.

1994 ◽  
Vol 51 (12) ◽  
pp. 2769-2783 ◽  
Author(s):  
S. J. Guildford ◽  
L. L. Hendzel ◽  
H. J. Kling ◽  
E. J. Fee ◽  
G. G. C. Robinson ◽  
...  

Phytoplankton nutrient status measurements (C/P, C/N, C/chlorophyll, N/P, alkaline phosphatase activity, and N debt) were measured for 6 yr in seven remote Canadian Shield lakes. Lakes Nipigon and Superior were also studied for 2 yr. These lakes varied in surface area from 29 to 8.223 × 10 ha, they all stratified fully during the summer and had water renewal times > 5 yr. All lakes were severely P deficient; however, the large lakes (> 2000 ha) were consistently less P deficient than small lakes. A growth-rate indicator (photosynthesis normalized to particulate C) agreed with nutrient status indicators, in that small lakes had lower rates than large lakes. Total P was a good predictor of chlorophyll, but factors related to lake size (temperature and mixed depth) were equally good or better predictors of nutrient status. Decreasing mean water column light intensity could not explain the lower P deficiency of large lakes. The deeper, more energetic mixed layers in large lakes apparently cause P to be recycled more efficiently. Extrapolation of observations or experimental results from small to large lakes requires recognition that phytoplankton in large lakes are less nutrient deficient and may have higher growth rates.


1994 ◽  
Vol 51 (12) ◽  
pp. 2756-2768 ◽  
Author(s):  
E. J. Fee ◽  
R. E. Hecky ◽  
G. W. Regehr ◽  
L. L. Hendzel ◽  
P. Wilkinson

Fluxes to the summer mixed layer of N, Si, and P were estimated in a size series of northwestern Ontario Canadian Shield lakes. Increasing turbulence caused upward fluxes through the thermocline to increase with lake size for nutrients that increased in concentration below the thermocline (soluble reactive Si, total inorganic N, and NO3−; but not total N or any form of P). Precipitation and terrestrial runoff were equally important sources of N and P in all but very small lakes (< 100 ha), where precipitation supplied much more than runoff. Runoff was the only important source of Si, except in very large lakes (> 100 000 ha) where mixing through the thermocline was important. N2-fixation was unimportant except in intermediate-sized fakes (700–2000 ha). Si fluxes nearly equaled phytoplankton requirements, but N and P were below requirements, and recycling within the mixed layer must be the most important source of these nutrients. N and P deficits increased progressively with lake size, implying that the efficiency of nutrient recycling increased with lake size; mixed layers in large lakes are more turbulent and thicker than in small lakes and these processes increase the probability of nutrient regeneration within the mixed layer.


2004 ◽  
Vol 07 (02) ◽  
pp. 223-240 ◽  
Author(s):  
DOMENICO DELLI GATTI ◽  
CORRADO DI GUILMI ◽  
EDOARDO GAFFEO ◽  
GIANFRANCO GIULIONI ◽  
MAURO GALLEGATI ◽  
...  

Power law behavior is an emerging property of many economic models. In this paper we emphasize the fact that power law distributions are persistent but not time invariant. In fact, the scale and shape of the firms' size distribution fluctuate over time. In particular, on a log–log space, both the intercept and the slope of the power law distribution of firms' size change over the cycle: during expansions (recessions) the straight line representing the distribution shifts up and becomes less steep (steeper). We show that the empirical distributions generated by simulations of the model presented in Ref. 11 mimic real empirical distributions remarkably well.


1980 ◽  
Vol 112 (8) ◽  
pp. 753-758 ◽  
Author(s):  
D. B. Donald ◽  
R. S. Anderson

AbstractSeventeen species of Plecoptera were collected from 58 lakes situated along the Continental Divide in southwestern Canada. Four of the 17 species were found once. The commonest species was present in 25 lakes. At low to middle elevations stoneflies occurred in large lakes that had relatively low total dissolved solids and low maximum annual heat content. The distribution of the majority of species was restricted with respect to lake area and elevation. For example, some species were found only in large lakes at low to medium elevation (900 to 1700 m), while others were found only in small lakes at high elevation (1800 to 2400 m).


2015 ◽  
Vol 2 (6) ◽  
pp. 1-10
Author(s):  
Jurgita Daubarienė

Research background.The biodiversity of lakes makesthem important as natural resource fortourism. Lakes all over the world are used as a resource for ecotourism, natural tourism, leisure tourism andtheyattract millions of tourists. The useof lakes for sports, entertainment, swimming, fishing,etc.is of greatimportance to the public.There are 2833 lakes larger than 0.5 ha in Lithuania. Utena County has 35% shareof all Lithuanian lakes larger than 0.5 ha. So this is a very important region of lake tourism development inLithuania.Researchaim.The object of the researchisbigger than 0.5 ha lakes of UtenaCounty, and theresearchaim is to analyse lake tourism development in Utena County.Methods.Scientific literature, web sites, legislation on lake tourism and recreational activities on thelakes and in the lakeshore, ArcGis software programme were used as references for writing the article.There are 1001 lakes, bigger than 0.5 ha, in UtenaCounty. Since thereare a great number of lakes, inorder to distinguish their patterns, lakes were grouped into 7 area classes: 0.5–1 ha; 1.1–5 ha; 5.1–10 ha;10.1–50 ha; 50.1–100 ha; 100.1–500 ha; >500 ha. Articles distinguish the most important criteria of lakestourism development: lakes morphometric parameters, lakes accessibility of roads, landscape structure oflakes. The marphometric parameters, used in the present paper, were taken from the Catalogue of LithuaniaSSR lakes (1964), while bathymetric parameters were taken from list with bathymetric data (1964). Todetermine the accessibility of lakes, ArcGis10 software was used. It was worked with GDB10LT database(updated in January, 2008). The data of lakes was taken from layer “Areas”. This layer of lakes was re-covered with layers of “Roads” and “Railways”. Seeking to assess the accessibility of lakes by roads ofvarious types, search for roads was implemented at the radius of 10, 50, 100, 200 and 500 metres aroundlakes. The paper sought to determine the landscape structure of Utena County lakes. The distribution offorests, swamps, grasslands, residential areas and other landscapes in lake shores wasanalysed. Theselandscapes wereanalysedin buffers, drawn at the radius of 500 m around lakes. Forests, swamps, residentialareas and other landscapes were taken from GDB10LT layer “Locations”. After drawing the buffers of500m radius around lakes, the area of forests, swamps, residential areas and other landscapes wascalculated.Results.The research data shows thatthe mostcommonlakesin UtenaCountyare small lakes, lessthan 50 hectares (881 lakes).There are 29 lakes larger than 500 ha in Lithuania. UtenaCounty has 69% shareof all Lithuanian lakes larger than 500 ha. Itisvery important for development of recreational activitiesbecause the bigger the lake–the greater the opportunity to deploy it.Utena County has 374 lakes (37%)where you can use self-propelled boating means (area more than 10 hectares) and 60 lakes (6%) (larger than200 hectares) where youcan use more high-powered boats. The water motorcycles can be used just in theAlausasLake.Based on the morphometric lake parametres–area and average depth, lakes, suitable for pikes(45% of all the lakes explored), crucians (36%) and breams, pike perches (18%) predominate.There are all types of roads near bigger than 0.5 haUtena County lakes at a distance of 500m–motorways, asphalted roads, gravelled roads, unsurfaced roads and railways. The research data shows thatgravelled roads (30% of all lakes can be reached by these roads) and unsurfaced roads (41%) predominate.There is a tendency that the bigger a lake is the greater variety of road types within a radius of 500 m it has.Forests, grasslands, populated areas and swamps are nearby the lakes of all area classes at a distanceof 500 m. With the increase of a lake area the number of lakes on the shores of which there are swamps,areas covered by grasslands increase, the number of forests decreases. Nearb the smaller lakes the biggerpercentageof the shore territory is covered with forests and other landscapes. The typical Utena district lake(>0.5 ha) in a 500 m radius from its shore will have the following landscape structure: 60% of grasslands,36% of forests, 3% of populated areas, 0.1% ofswamps and 1% of other landscapes. Thelakes near theforest are important for recreation. With the increasing size of lakes, the areas on the shores of lakes coveredby forests and grasslands also increase.Populated areas are near all bigger than 500 ha lakes and the majority of lakes of other classes. Thereare populated areas having fewer than 20 people near all the lakes bigger than 500 ha, towns are nearby 7%of such lakes.Almost 90% of UtenaCounty tourism enterprises are not further than 500 meters from thelakes. Tourism enterprises clusters are located at the lakes of Alausas, Rubikiai, Sartai.Conclusions.The research data shows that lake area, accessibility by roads and lake landscapestructure are important factorsfor lake tourism development. In large lakes there are possibilities to organizeboating with motorized or non-motorized boats, sailing, swimming, fishing, diving, etc. Recreationalactivities on large lakes are more diverseand attractive than the ones small lakes. Large lakes of UtenaCountyare better accessible of different types of road. Large lakes landscape structure is more diverse andattractive.The small UtenaCounty lakes are more suitable for the development of eco-tourismand largelake (area>50ha)–for mass tourism (just 10%of Utena County lakes).Keywords:laketourism,lakes’morphometric parameters, lakes’accessibilitybyroads, landscapestructure of lakes.


2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Ghislain Romaric Meleu ◽  
Paulin Yonta Melatagia

AbstractUsing the headers of scientific papers, we have built multilayer networks of entities involved in research namely: authors, laboratories, and institutions. We have analyzed some properties of such networks built from data extracted from the HAL archives and found that the network at each layer is a small-world network with power law distribution. In order to simulate such co-publication network, we propose a multilayer network generation model based on the formation of cliques at each layer and the affiliation of each new node to the higher layers. The clique is built from new and existing nodes selected using preferential attachment. We also show that, the degree distribution of generated layers follows a power law. From the simulations of our model, we show that the generated multilayer networks reproduce the studied properties of co-publication networks.


2021 ◽  
Author(s):  
David A Garcia ◽  
Gregory Fettweis ◽  
Diego M Presman ◽  
Ville Paakinaho ◽  
Christopher Jarzynski ◽  
...  

Abstract Single-molecule tracking (SMT) allows the study of transcription factor (TF) dynamics in the nucleus, giving important information regarding the diffusion and binding behavior of these proteins in the nuclear environment. Dwell time distributions obtained by SMT for most TFs appear to follow bi-exponential behavior. This has been ascribed to two discrete populations of TFs—one non-specifically bound to chromatin and another specifically bound to target sites, as implied by decades of biochemical studies. However, emerging studies suggest alternate models for dwell-time distributions, indicating the existence of more than two populations of TFs (multi-exponential distribution), or even the absence of discrete states altogether (power-law distribution). Here, we present an analytical pipeline to evaluate which model best explains SMT data. We find that a broad spectrum of TFs (including glucocorticoid receptor, oestrogen receptor, FOXA1, CTCF) follow a power-law distribution of dwell-times, blurring the temporal line between non-specific and specific binding, suggesting that productive binding may involve longer binding events than previously believed. From these observations, we propose a continuum of affinities model to explain TF dynamics, that is consistent with complex interactions of TFs with multiple nuclear domains as well as binding and searching on the chromatin template.


2021 ◽  
Vol 13 (2) ◽  
pp. 205
Author(s):  
Philipp Hochreuther ◽  
Niklas Neckel ◽  
Nathalie Reimann ◽  
Angelika Humbert ◽  
Matthias Braun

The usability of multispectral satellite data for detecting and monitoring supraglacial meltwater ponds has been demonstrated for western Greenland. For a multitemporal analysis of large regions or entire Greenland, largely automated processing routines are required. Here, we present a sequence of algorithms that allow for an automated Sentinel-2 data search, download, processing, and generation of a consistent and dense melt pond area time-series based on open-source software. We test our approach for a ~82,000 km2 area at the 79°N Glacier (Nioghalvfjerdsbrae) in northeast Greenland, covering the years 2016, 2017, 2018 and 2019. Our lake detection is based on the ratio of the blue and red visible bands using a minimum threshold. To remove false classification caused by the similar spectra of shadow and water on ice, we implement a shadow model to mask out topographically induced artifacts. We identified 880 individual lakes, traceable over 479 time-steps throughout 2016–2019, with an average size of 64,212 m2. Of the four years, 2019 had the most extensive lake area coverage with a maximum of 333 km2 and a maximum individual lake size of 30 km2. With 1.5 days average observation interval, our time-series allows for a comparison with climate data of daily resolution, enabling a better understanding of short-term climate-glacier feedbacks.


2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Kai Zhao ◽  
Mirco Musolesi ◽  
Pan Hui ◽  
Weixiong Rao ◽  
Sasu Tarkoma

Sign in / Sign up

Export Citation Format

Share Document