Applications of Difference Equation in Population Forecasting Model

2014 ◽  
Vol 1079-1080 ◽  
pp. 664-667
Author(s):  
Chun Miao Huang ◽  
Wei Ping Wang

This article gets thepopulation data based on China Population Statistics Yearbook ,and establishes a model for forecasting thegrowth of population grouped by ages. First, a difference equation model invector form is established for urban area, town and rural arearespectively. In equation (I), matrix is determined byfertility rate and survival rate of urban area, townand rural area respectively. The short-term population size predicted from thismodel has calculated the gross population of each year during 2002~2020. The 19data we got were used to generate a function between population size y (hundredmillion) and time x (year) by polynomial fitting : , and the max of this function is y = 1.47121 billion when x= 20, which means that the Chinese total population will peak at 1, 471, 210,000 in 2021.

1997 ◽  
Vol 31 (3) ◽  
pp. 308-309 ◽  
Author(s):  
Cáris M. Nunes ◽  
Dejanira de A. Martines ◽  
Stélios Fikaris ◽  
Luzia H. Queiróz

Planning control programs, for diseases such as rabies requires information on the size and structure of the dog and cat population. In order to evaluate the dog population of the urban area of Araçatuba city, S. Paulo State, Brazil, a survey was conducted using a questionnaire to interview members of households. Eighty-eight districts were visited (37,778 houses) and the interview was possible at 77.93% of these. Human population size evaluated was 113,157 inhabitants. Houses that owned animals represented 55.2%, 26,926 of the animals concerned were dogs and 5,755 were cats. Of the dogs, 56.64% were 1-4 year olds and males represented 56.2% of the total population. Dog: person ratio was estimated at 2.8 dogs to every 10 persons, almost 3 times the ratio hitherto estimated and used in the planning of rabies vaccination campaigns.


2019 ◽  
Vol 2 ◽  
Author(s):  
Bérces Sándor

A two season capture-recapture study was preformed between 2016-2017, focusing on the Carabus species living in a suburban park (3 hectare) in Budapest, Hungary. Eighty live-capture, non-baited pitfall traps were used in a 3 x 3 m grid in 4 rows and 20 columns, covering almost totally a forested area of 240 m2. Five Carabus species were captured, the most numerous were C. scheidleri, C. ullrichii and C. coriaceus. C. convexus and C. intricatus were captured only a few times. All Carabus species were individually marked and released. Population size and survival rate was estimated only for the C. scheidleri population using POPAN in order to receive gross population size. In total 491 C. scheidleri individuals (251 females and 239 males) were marked. Recapture rate in 2016 and 2017 were 41 and 50 percent for the total population respectively. Estimated population size varied between years, the maximum population size was 680 ± 50 specimen in 2016. In 2017 a population size of 190 ± 16 individuals were estimated. Overwintering of eight C. scheidleri and three C. ullrichii specimen were observed. Less mobile large bodied forest specialist Carabus species living in a relatively small reserve underline the importance of habitat islands in a city.


1977 ◽  
Vol 34 (3) ◽  
pp. 425-428 ◽  
Author(s):  
L. L. Eberhardt

The Beverton and Holt and Ricker stock–recruitment curves can be used to generate population growth curves. The Beverton and Holt curve is then identical to a difference equation model for the logistic growth curve, and may be derived in terms of equations for linearly density-dependent population regulation. The same equations lead to the Ricker curve if the density-regulating effect is assumed to depend only on population size at the beginning of the interval between generations. At low rates of population growth, the Ricker curve approaches that of Beverton and Holt. The two curves appear to represent certain concepts known in population biology as "r and K selection."


2014 ◽  
Author(s):  
Yvan Richard ◽  
Lyndon Perriman ◽  
Chris Lalas ◽  
Edward R. Abraham

Demographic rates, such as annual survival rate, are generally difficult to estimate for long-lived seabirds, because of the length of time required for this kind of study and the remoteness of colonies. However, a small colony of northern royal albatross (Diomedea sanfordi) established itself on the mainland of New Zealand at Taiaroa Head, making possible regular banding and monitoring of its individuals since the first chick fledged, in 1938. Data on the presence/absence of birds, as well as on breeding outcomes, were available for the period from 1989–90 to 2011–12, and included 2128 annual resightings of 355 banded individuals of known age. The main goal of the present study was to estimate the annual survival rate of juveniles, pre-breeders, and adults at Taiaroa Head. These rates were estimated simultaneously in a single Bayesian multi-state capture-recapture model. Several models were fitted to the data, with different levels of complexity. From the most parsimonious model, the overall annual adult survival rate was estimated as 0.950 (95% c.i.: 0.941–0.959). In this model, adult survival declined with age, from 0.976 (95% c.i.: 0.963–0.988) at 6 years, the minimum age at first breeding, to 0.915 (95% c.i.: 0.879–0.946) at 40 years. Mean annual survival of pre-breeders was 0.966 (95% c.i.: 0.950–0.980), and 0.933 (95% c.i.: 0.908–0.966) for juveniles. There was no discernible difference in survival between males and females, and there was no apparent trend in survival over time. Estimates of other demographic rates were also obtained during the estimation process. The mean age at first return of juveniles to the colony was estimated as 4.8 years (95% c.i.: 4.6–5.1), and the mean age at first breeding as 8.9 years (95% c.i.: 8.5–9.3). Because all the birds of the colony were banded, it was possible to estimate the total population size. The number of northern royal albatross present annually at the Taiaroa Head colony has doubled since 1989–90, and the current total population size was estimated to be over 200 individuals. The ratio of the total population size to the number of annual breeding pairs varied from 5 to 12 among years, with an overall mean of 7.65 (95% c.i.: 7.56–7.78), and this high variability highlights the need for a sufficient number of surveys of seabird breeding populations before reliable conclusions on population trends can be made. Although long-term data allowed estimates of demographic rates of northern royal albatross at Taiaroa Head, the location of the colony and the ongoing management by staff mean that the population dynamics may differ from those of the main population on the Chatham Islands.


1999 ◽  
Vol 47 (6) ◽  
pp. 865 ◽  
Author(s):  
A. J. J. Lynch

Pultenaea selaginoides Hook.f. (Fabaceae) is a Tasmanian endemic shrub classified as nationally vulnerable. Only four populations of P. selaginoides totalling fewer than 1000 individuals are known to be extant, and one of these populations consists of only six individuals. The habitat of P. selaginoides is restricted to sites in flood-prone, riparian areas or coastal ridgelines subject to cloud-lie and runoff retention. However, there appears to be unoccupied habitat available. Pultenaea selaginoides can resprout or coppice after disturbance or regenerate from the soil stored seed bank. Most populations are producing seed, and large quantities may be produced. Germination of the seed can be induced by short-term temperatures of 60–100°C. Only the largest population is formally reserved, but all sites should be managed for the perpetuation of P. selaginoides. Because of the narrowness of its distribution, its low total population size, its innate seed dormancy, the ageing of most of the populations, and the uncertaintpy about the precise causes of its rarity, P. selaginoides should continue to be regarded as vulnerable to extinction.


2014 ◽  
Author(s):  
Yvan Richard ◽  
Lyndon Perriman ◽  
Chris Lalas ◽  
Edward R. Abraham

Demographic rates, such as annual survival rate, are generally difficult to estimate for long-lived seabirds, because of the length of time required for this kind of study and the remoteness of colonies. However, a small colony of northern royal albatross (Diomedea sanfordi) established itself on the mainland of New Zealand at Taiaroa Head, making possible regular banding and monitoring of its individuals since the first chick fledged, in 1938. Data on the presence/absence of birds, as well as on breeding outcomes, were available for the period from 1989–90 to 2011–12, and included 2128 annual resightings of 355 banded individuals of known age. The main goal of the present study was to estimate the annual survival rate of juveniles, pre-breeders, and adults at Taiaroa Head. These rates were estimated simultaneously in a single Bayesian multi-state capture-recapture model. Several models were fitted to the data, with different levels of complexity. From the most parsimonious model, the overall annual adult survival rate was estimated as 0.950 (95% c.i.: 0.941–0.959). In this model, adult survival declined with age, from 0.976 (95% c.i.: 0.963–0.988) at 6 years, the minimum age at first breeding, to 0.915 (95% c.i.: 0.879–0.946) at 40 years. Mean annual survival of pre-breeders was 0.966 (95% c.i.: 0.950–0.980), and 0.933 (95% c.i.: 0.908–0.966) for juveniles. There was no discernible difference in survival between males and females, and there was no apparent trend in survival over time. Estimates of other demographic rates were also obtained during the estimation process. The mean age at first return of juveniles to the colony was estimated as 4.8 years (95% c.i.: 4.6–5.1), and the mean age at first breeding as 8.9 years (95% c.i.: 8.5–9.3). Because all the birds of the colony were banded, it was possible to estimate the total population size. The number of northern royal albatross present annually at the Taiaroa Head colony has doubled since 1989–90, and the current total population size was estimated to be over 200 individuals. The ratio of the total population size to the number of annual breeding pairs varied from 5 to 12 among years, with an overall mean of 7.65 (95% c.i.: 7.56–7.78), and this high variability highlights the need for a sufficient number of surveys of seabird breeding populations before reliable conclusions on population trends can be made. Although long-term data allowed estimates of demographic rates of northern royal albatross at Taiaroa Head, the location of the colony and the ongoing management by staff mean that the population dynamics may differ from those of the main population on the Chatham Islands.


2019 ◽  
Author(s):  
Muryanti Muryanti

Muslim women worked in public sector in all variant jobs not only in urban area, but also in rural area phenomena. They had been doing it because of freedom, education, solidarity, or economic reason. When Muslim women worked in public sector, the new problems were appears, about care of children in the house as domestic work. These phenomenons were related to Indonesian’s culture and Islam perspective that believed the jobs of care of children was women burden. This article described about changing of meaning the role of Muslim women in the caring children. There were many institutions replaced care children, like day care etc. This article used qualitative research with observation and interview. The result of research, there were changing care of children in rural society. Before 2000, Muslim women were depend on family (extend family), neighbors, domestic worker, but in 2013, they prefered care of their children in the new institution (day care) because this institution gave early education to the child and save. But, majority Muslim women in this research believed that domestic works are their jobs.


Author(s):  
Dr. Rangarajan B. ◽  
Dr. Muralidhara .

Gridhrasi (Sciatica) is a disorder in which low back pain is found, that spreads through the hip, to the back of the thigh and down the inside of the leg. Mechanical low back pain (LBP) remains the second most common symptom related reason for seeing a physician. 85% of total population will experience an episode of mechanical LBP at some point during their lifetime. Fortunately, the LBP resolves for the vast majority within 2-4 weeks. There are many causes for low back pain, however true sciatica is a symptom of inflammation or compression of the sciatica nerve. The sciatica nerve carries impulses between nerve roots in the lower back and the muscles and nerve of the buttocks, thighs and lower legs. Compression of a nerve root often occurs as a result of damage to one of the discs between the vertebrae. In some cases, sciatic pain radiate from other nerves in the body. This is called referred pain. Pain associated with sciatica often is severe, sharp and shooting. It may be accompanied by other symptom, such as numbness, tingling, weakness and sensitivity to touch. There is only conservative treatment giving short term relief in pain or surgical intervention with side effect. But these are not successful and therefore those who are suffering from this are always in search of result oriented remedy. Walking distance and SLR test were taken for assessment parameter, VAS score was adopted for pain. Before treatment patient was not able to walk even 4 to 5 steps due to severe pain, was brought on stretcher and his SLR was 30° of right side. After 22 days of treatment he was able to walk up to 500 meters without any difficulty, SLR was changed to 60° and patient had got 80 % relief in pain. This case report showed that Ayurvedic protocol is potent and safe in the treatment of Gridhrasi.


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