scholarly journals Cooperation mitigates diversity loss in a spatially expanding microbial population

2019 ◽  
Author(s):  
Saurabh Gandhi ◽  
Kirill S. Korolev ◽  
Jeff Gore

AbstractThe evolution and potentially even the survival of a spatially expanding population depends on its genetic diversity, which can decrease rapidly due to a serial founder effect. The strength of the founder effect is predicted to depend strongly on the details of the growth dynamics. Here, we probe this dependence experimentally using a single microbial species, Saccharomyces cerevisiae, expanding in multiple environments that induce varying levels of cooperativity during growth. We observe a drastic reduction in diversity during expansions when yeast grows non-cooperatively on simple sugars, but almost no loss of diversity when cooperation is required to digest complex metabolites. These results are consistent with theoretical expectations. When cells grow independently from each other, the expansion proceeds as a pulled wave driven by the growth at the low-density tip of the expansion front. Such populations lose diversity rapidly because of the strong genetic drift at the expansion edge. In contrast, diversity loss is substantially reduced in pushed waves that arise due to cooperative growth. In such expansions, the low-density tip of the front grows much more slowly and is often reseeded from the genetically diverse population core. Additionally, in both pulled and pushed expansions, we observe a few instances of abrupt changes in allele fractions due to rare fluctuations of the expansion front and show how to distinguish such rapid genetic drift from selective sweeps.Significance statementSpatially expanding populations lose genetic diversity rapidly because of the repeated bottlenecks formed at the front as a result of the serial founder effect. However, the rate of diversity loss depends on the specifics of the expanding population, such as its growth and dispersal dynamics. We have previously demonstrated that changing the amount of within-species cooperation leads to a qualitative transition in the nature of expansion from pulled (driven by migration at the low density tip) to pushed (driven by migration from the high density region at the front, but behind the tip). Here we demonstrate experimentally that pushed waves, which emerge in the presence of sufficiently strong cooperation, result in strongly reduced genetic drift during range expansions, thus preserving genetic diversity in the newly colonized region.

2019 ◽  
Vol 116 (47) ◽  
pp. 23582-23587 ◽  
Author(s):  
Saurabh R. Gandhi ◽  
Kirill S. Korolev ◽  
Jeff Gore

The evolution and potentially even the survival of a spatially expanding population depends on its genetic diversity, which can decrease rapidly due to a serial founder effect. The strength of the founder effect is predicted to depend strongly on the details of the growth dynamics. Here, we probe this dependence experimentally using a single microbial species, Saccharomyces cerevisiae, expanding in multiple environments that induce varying levels of cooperativity during growth. We observe a drastic reduction in diversity during expansions when yeast grows noncooperatively on simple sugars, but almost no loss of diversity when cooperation is required to digest complex metabolites. These results are consistent with theoretical expectations: When cells grow independently from each other, the expansion proceeds as a pulled wave driven by growth at the low-density tip of the expansion front. Such populations lose diversity rapidly because of the strong genetic drift at the expansion edge. In contrast, diversity loss is substantially reduced in pushed waves that arise due to cooperative growth. In such expansions, the low-density tip of the front grows much more slowly and is often reseeded from the genetically diverse population core. Additionally, in both pulled and pushed expansions, we observe a few instances of abrupt changes in allele fractions due to rare fluctuations of the expansion front and show how to distinguish such rapid genetic drift from selective sweeps.


1974 ◽  
Vol 52 (1) ◽  
pp. 80-88 ◽  
Author(s):  
Damon N. Card ◽  
John Walkley

Monte Carlo data have been generated for a simple model fluid consisting of hard spheres with an attractive triangular well potential. The ranges spanned by the temperature and density are as follows. [Formula: see text] and [Formula: see text]. The machine data have been compared to the modern perturbation theories of (i) Barker, Henderson, and Smith and (ii) Weeks, Chandler, and Andersen. Comparison with the machine data shows that the latter theory is successful in the high density region only, but over a wide range of temperature. The Barker–Henderson approach is best in the low density region but the use of the superposition approximation limits the utility of this theory at high densities.


2004 ◽  
Vol 18 (31n32) ◽  
pp. 4161-4171 ◽  
Author(s):  
WEN-YAO CHEN ◽  
DING-WEI HUANG ◽  
WEI-NENG HUANG ◽  
WEN-LIANG HWANG

The traffic flow on a 3-lane highway is investigated using a cellular automaton method. Two different kinds of vehicles, cars and trucks, with different driving behaviors are presented on the highway. It is found that in the high density region, a control scheme requiring passing from the inner lane will enhance the traffic flow; while restricting the trucks to the outer lane will enhance the flow in the low density region and also has the benefit of suppressing the unnecessary lane-changing rate.


1980 ◽  
Vol 58 (7) ◽  
pp. 1004-1009 ◽  
Author(s):  
F. M. Kelly ◽  
M. S. Mathur

The Hanle effect in the 4s21S0–4s4p1P1 (4226.7 Å) transition in Ca I has been observed over a wide range of densities. The low density observations determine the lifetime of the 1P1 level to be 4.49 ns. Collision parameters are obtained from observations in the high density region.


A method of conducting computer experiments on ionic recombination in an ambient gas is described. Account may be taken of binary recombination, and its contribution to the total recombination coefficient may be separated. Recombination in molecular oxygen is treated as an example. It is found that the recombination coefficient for ambient gas (or termolecular) recombination by itself is as predicted by the quasi-equilibrium statistical method in the low density region and as predicted by the Langevin-Harper formula in the high density region. The slightly modified Natanson formula which was introduced to bridge the very wide gap between these two regions is not successful, the pattern of its failure being that it underestimates the influence which the mobilities of the ions have on the recombination coefficient. An unsuspected characteristic of binary recombination revealed by the investigation is that its rate coefficient depends on the density of the ambient gas. Before attempting to extrapolate laboratory data on the total ionic recombination coefficient to zero ambient gas density it is essential to take cognisance of the steep rise of the binary recombination coefficient in the very low density region.


AGROFOR ◽  
2018 ◽  
Vol 2 (3) ◽  
Author(s):  
Ondrej KADLEČÍK ◽  
Eva HAZUCHOVÁ ◽  
Nina MORAVČÍKOVÁ ◽  
Veronika KUKUČKOVÁ ◽  
Radovan KASARDA

The objective of the study was to evaluate inbreeding and genetic diversity inSlovak Spotted cattle. Reference population contained genealogic information on36949 animals (129 sires and 36820 cows) that were used in the analyses. Pedigreecompleteness indexes in the first three generations were on the level of 100 %, inthe 5th generation it was 60 %. Since 1970, inbreeding trend was positive withsignificant increasing in 1990. Average relationship was 0.8 %, inbreeding rate0.36 % and ΔF = 0.094 %. In the reference population 43 % animals was inbred, 68% of sires and 33 % cows, with also 67 % purebred cows, as well. Total geneticdiversity loss in the reference population and population of cows was the same,closely under 1%, in purebred cows 1.19 % and sires even due to higher inbreedinglevel 1.78 %. Genetic diversity loss was more influenced by the genetic drift 0.80%in the reference population, 1.47% in sire group, than by effective number offounder unequal contributions. F statistic showed fines superiority ofheterozygosity by sire lines subpopulations, in the whole sire group (FIS = - 0.12)and their minimal differentiation (FST = 0,098). Obtained results showed thatinbreedization process started in this population. Monitoring and better geneticmanagement are important from the point of its further sustainable development.


2020 ◽  
Author(s):  
Gabriel Birzu ◽  
Oskar Hallatschek ◽  
Kirill S. Korolev

AbstractRange expansions accelerate evolution through multiple mechanisms including gene surfing and genetic drift. The inference and control of these evolutionary processes ultimately relies on the information contained in genealogical trees. Currently, there are two opposing views on how range expansions shape genealogies. In invasion biology, expansions are typically approximated by a series of population bottlenecks producing genealogies with only pairwise mergers between lineages—a process known as the Kingman coalescent. Conversely, traveling-wave models predict a coalescent with multiple mergers, known as the Bolthausen–Sznitman coalescent. Here, we unify these two approaches and show that expansions can generate an entire spectrum of coalescent topologies. Specifically, we show that tree topology is controlled by growth dynamics at the front and exhibits large differences between pulled and pushed expansions. These differences are explained by the fluctuations in the total number of descendants left by the early founders. High growth cooperativity leads to a narrow distribution of reproductive values and the Kingman coalescent. Conversely, low growth cooperativity results in a broad distribution, whose exponent controls the merger sizes in the genealogies. These broad distribution and non-Kingman tree topologies emerge due to the fluctuations in the front shape and position and do not occur in quasi-deterministic simulations. Overall, our results show that range expansions provide a robust mechanism for generating different types of multiple mergers, which could be similar those observed in populations with strong selection or high fecundity. Thus, caution should be exercised in making inferences about the origin of non-Kingman genealogies.Significance statementSpatial dynamics are important for understanding genetic diversity in many contexts, such as cancer and infectious diseases. Coalescent theory offers a powerful framework for interpreting and predicting patters of genetic diversity in populations, but incorporating spatial structure into the theory has proven difficult. Here, we address this long-standing problem by studying the coalescent in a spatially expanding population. We find the topology of the coalescent changes depending on the growth dynamics at the front. Using analytical arguments, we show that the transition between coalescent topologies is universal and is controlled by a parameter related to the expansion velocity. Our theory makes precise predictions about the effects of population dynamics on genetic diversity at the expansion front, which we confirm in simulations.


2008 ◽  
Vol 276 (1655) ◽  
pp. 291-300 ◽  
Author(s):  
Omkar Deshpande ◽  
Serafim Batzoglou ◽  
Marcus W Feldman ◽  
L Luca Cavalli-Sforza

The increasing abundance of human genetic data has shown that the geographical patterns of worldwide genetic diversity are best explained by human expansion out of Africa. This expansion is modelled well by prolonged migration from a single origin in Africa with multiple subsequent serial founding events. We discuss a new simulation model for the serial founder effect out of Africa and compare it with results from previous studies. Unlike previous models, we distinguish colonization events from the continued exchange of people between occupied territories as a result of mating. We conduct a search through parameter space to estimate the range of parameter values that best explain key statistics from published data on worldwide variation in microsatellites. The range of parameters we use is chosen to be compatible with an out-of-Africa migration at 50–60 Kyr ago and archaeo–ethno–demographic information. In addition to a colonization rate of 0.09–0.18, for an acceptable fit to the published microsatellite data, incorporation into existing models of exchange between neighbouring populations is essential, but at a very low rate. A linear decay of genetic diversity with geographical distance from the origin of expansion could apply to any species, especially if it moved recently into new geographical niches.


2021 ◽  
Vol 36 (37) ◽  
Author(s):  
Nashiba Parbin ◽  
Umananda Dev Goswami

In this paper, we conduct a study on the scalar field obtained from [Formula: see text] gravity via Weyl transformation of the spacetime metric [Formula: see text] from the Jordan frame to the Einstein frame. The scalar field is obtained as a result of the modification in the geometrical part of Einstein’s field equation of General Relativity. For the Hu–Sawicki model of [Formula: see text] gravity, we find the effective potential of the scalar field and calculate its mass. Our study shows that the scalar field (also named as scalaron) obtained from this model has the chameleonic property, i.e. the scalaron becomes light in the low-density region, while it becomes heavy in the high-density region of matter. Then it is found that the scalaron can be regarded as a dark matter (DM) candidate since the scalaron mass is found to be quite close to the mass of ultralight axions, a prime DM candidate. Thus, the scalaron in the Hu–Sawicki model of [Formula: see text] gravity behaves as DM. Further, a study on the evolution of the scalaron mass with the redshift is also carried out, which depicts that scalaron becomes light with expansion of the Universe and with different rates at different stages of the Universe.


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