3.2 Model description
The model was implemented in the software Stella Professional, version 1.9 developed by ISEE Systems, with the hope of modelling the dynamic behaviour of the market associated with the increasing adoption of new solutions for ADL support. Due to the lack of reliable data, this part was eventually skipped, and the prices of assistive devices are exogenous variables along with the rest of input data.
In its current version, the model evaluates the most economical combination of available assistive devices for each age group and disability class (together referred to as category) based on their price and capability, before computing the overall expenses for provided care on national level and potential savings having adopted suggested solution.
The model uses demographic projections taken from Eurostat with age cohorts ranging from 0 to 100+ by one year. These data are then partially summed into age groups 0-17, 18-59, 60-69, 70-79, 80-89, 90+. The population data for Czech Republic and other EU countries are available as an input.
From the annual report for 2019 of the Ministry of Labour and Social Affairs of the Czech Republic, the total number of people receiving disability compensations was obtained for the above age groups and the four disability classes (I to IV). The compensations are provided to people who, due to the enduring health problems, require the assistance of another person in performing the basic ADLs. Based on the number of activities where aid is required, the disability classes are defined by the law to determine the value of the compensation.
The relative fractions (percentage) of people for each disability class and each age group are considered constant throughout the simulation. Multiplying them by the population data for given year, we compute the total number of people receiving care in each category (Table 1).
Table 1 – Number of people per age group and disability class (in thousands) for Czech Republic.
Class
|
0-17
|
18-59
|
60-69
|
70-79
|
80-89
|
90+
|
CZ total
|
I
|
12.2
|
16.4
|
12.7
|
21.9
|
31.8
|
7.7
|
102.8
|
II
|
8.8
|
20.2
|
14.3
|
25.2
|
36.2
|
12.4
|
117.0
|
III
|
5.6
|
16.7
|
9.7
|
17.7
|
26.7
|
12.6
|
89.0
|
IV
|
4.5
|
11.7
|
4.3
|
8.9
|
15.3
|
8.9
|
53.5
|
CZ total
|
31.1
|
65.0
|
40.9
|
73.8
|
110.0
|
41.6
|
362.4
|
Source: Annual report of Ministry of Labor and Social Affairs for 2019 (MPSV, 2020)
The required hours of care per person for each category and the ADLs of interest (WC, hygiene, food, movement indoor/outdoor) were estimated by averaging the data provided by home-care services (description in chapter 3.3.1). This yields a 3D array indexed by the age group, disability class and ADL which is then used to calculate the total hours of care and the overall expenses by means of built-in array functions, including element-wise arithmetic and partial sums (along one or more dimensions).
Assistive devices are capable to replace a portion of overall hours provided by caregivers. Each device is described by a set of coefficients between 0 and 1 representing its efficiency (the approximate fraction of care hours it can handle) for given ADL. The economical parameters of the device are its price and its lifetime (in total hours of service.
If multiple devices have a non-zero value for the same ADL, the maximum of these values is used. Due to overlapping capabilities of devices, the real value of a device drops significantly, when a device with similar characteristics is already part of the combination.
The amount of replaceable care hours and the corresponding financial savings are computed for all combinations, yielding a winner in each category. As an auxiliary value, the break-even costs are evaluated.
3.2.1 Input fields
Population (2D) [Simulation_Year; Age] – Eurostat population projection starting from 2019 by 1-year cohorts without the distinction of sex.
Disability_Incidence (2D) [Age_Group; Disability_Class] – The relative fraction of people in each disability class for given age groups.
SD_Efficiency (2D) [SD; ADL] – The efficiency of available smart devices. Values between 0 and 1 representing to which extent the given SD can replace a human caregiver for the respective ADLs.
SD_Lifetime (1D) [SD] – The expected lifetime in years for given SDs.
SD_Purchase_Cost (1D) [SD] – The purchase costs of given SDs.
Caretaker_Hourly_Wage – The average hourly wage of caretakers for country in question.
SD_Availability (1D) [SD] – Boolean array provided by the user indicating which SDs are available for deployment. SDs with zero value will not be included in the processed combinations.
Hours_of_Care_per_Person_and_ADL (3D) [Age_Group; Disability_Class; ADL] – The typical hours of care for each ADL required by a person in given age group and disability class.
3.2.2 Computed Fields
Max_Savings (2D) [Age_Group; Disability_Class] – Maximum achievable yearly savings per person in given category.
Best_Combo (2D) [Age_Group; Disability_Class] – The most economical combination of SDs in terms of overall savings for given category.
Best_Combo_Costs (2D) [Age_Group; Disability_Class] – Yearly costs of the winning combination.
Replaced_Hours_per_ADL (3D) [Age_Group; Disability_Class; ADL] – Hours of human care per person and ADL that can be saved using the winning combination of SDs.
Selected_Combo_Yearly_Costs – The actual yearly costs of the combination of devices selected by the user via the interface window.
Combo_Breakeven_Yearly_Costs (3D) [Combo; Age_Group; Disability_Class] - Breakeven yearly costs of all available SD combinations for each category.
Total_Costs_without_SDs – The overall yearly costs of care provided by human caregivers.
Total_Savings – The overall yearly savings when deploying the most economical combination of SDs in each category.
Percentage_Savings – The relative savings over the entire simulation period.
3.2.3 Sector description
Demography Sector – The population data from Eurostat projections are summed into six groups. The result is multiplied by the disability incidence, yielding the overall number of people for each age group and disability class which is used as an input in the care sector (figure 1).
Based on projections for Czech Republic, the total number of people in the working age (cohort 18-59) is expected to drop from 5.98 million to 5.03 million by 2050, whereas the 60+ cohort is about to grow from 2.88 million to 3.81 million. The total number of people receiving disability compensations is expected to grow from 385 thousand to 609 thousand. These are preliminary results which depend on the long-term population changes and the actual percentage of people receiving care (figure 2).
SD_Evaluation Sector – Based on user input, all possible combinations of available SDs are examined. The combo efficiency for given ADL is taken as the maximum of the individual efficiencies of the comprising SDs. Multiplied by the yearly care hours per person in each category, this provides us with the total number of replaceable care hours for the considered combo. The associated yearly operating costs are then compared with the corresponding wages of a human caregiver, yielding the breakeven yearly costs and the potential savings. The winning combination differs between categories, as the more expensive solutions become viable with the increasing hours of required care. The yearly savings in terms of both hours and expenses are used as inputs in the care sector (figure 3).
Care Sector – Multiplying the average care hours per person and ADL by the total number of people in the respective category, we get the overall hours of unassisted care per category, and subsequently its cost. Applying the best available combination per category as given by the SD_evaluation sector, the modified care hours along with the associated costs are computed. The results are then summed over all categories, yielding the total yearly costs for both assisted and unassisted care, and finally the perceptual savings throughout the simulation period (figure 4).
3.3 Data
Data from selected social care facilities in the Czech Republic and selected technologies with a direct link to the monitored ADL actions are used for the specific setting and verification of the functionality of the model.
3.3.1 Data from selected social care facilities in the Czech Republic
In 2020, data were requested on care for the elderly, which takes place in their home environment. The data were provided by two facilities, with a total of 609 clients (of which 194 men, 415 women). The information provided below is: age, gender, degree of dependence (I-IV) according to (MPSV, 2020) legislation in the Czech Republic, diseases / restrictions. Furthermore, the provided services were recorded, which are: purchases, routine cleaning and maintenance of the household, water delivery, accompanying adults, one-time import / removal, assistance and support in serving food and drink, assistance in dressing, assistance in using the toilet, assistance in orientation in the space, assistance in moving to a bed or wheelchair, assistance in preparing and serving food, assistance in personal hygiene, assistance with basic hair and nail care, washing and ironing bed or personal laundry, preparation and serving of food and drink, preparation and serving food individually, renting compensatory aids (mechanical wheelchair, walker, toilet chair), regular cleaning, large cleaning, heating in the stove, massages, pedicure (irrelevant to us) (table 2).
Table 2 – Average hours of care per disability class and ADL (age group 18 - 90+). Source: own research in home-care services
class
|
Hygiene
|
WC
|
Indoor movement
|
Walks
|
Feeding
|
Age group 18-59
|
I
|
0
|
0
|
0.07
|
0.84
|
78.32
|
II
|
7.537
|
0
|
1.97
|
0
|
0
|
III
|
25.71
|
0
|
7.78
|
10.58
|
36.81
|
IV
|
14.25
|
36.08
|
0.6
|
0.63
|
168.87
|
Age group 60-69
|
I
|
1.43
|
0
|
2.89
|
0.39
|
0
|
II
|
8.92
|
0
|
7.45
|
4.14
|
15.11
|
III
|
34.77
|
0
|
17.59
|
8.9
|
12.16
|
IV
|
8.91
|
0.067
|
16.66
|
3.91
|
33.74
|
Age group 70-79
|
I
|
9.58
|
0
|
9.98
|
2.14
|
4.07
|
II
|
16.45
|
3.98
|
5.51
|
6.14
|
17
|
III
|
53.61
|
11.11
|
32.6
|
3.67
|
32.23
|
IV
|
43.88
|
0
|
30.97
|
2.76
|
30.88
|
Age group 80-89
|
I
|
13.268
|
1.5
|
8.61
|
2.55
|
0
|
II
|
15.45
|
0.63
|
14.48
|
4.31
|
20.53
|
III
|
48.69
|
3.07
|
62.03
|
6.46
|
43.04
|
IV
|
81.38
|
15.61
|
65.55
|
3.3
|
63.18
|
Age group 90 +
|
I
|
1.95
|
0
|
3.15
|
1.61
|
0.05
|
II
|
20.46
|
0
|
24.9
|
7.58
|
10.46
|
III
|
57.33
|
0.356
|
30.48
|
3.44
|
12.56
|
IV
|
117.77
|
0
|
77.66
|
2.89
|
93.06
|
The parameters by which these actions were categorized and subsequently also financially valued are: number of hours, number of actions, number of visits, amount of payment per year, distance travelled.
In terms of the prepared model, the above information is used in four main categories of activities, which are described by the sums of hourly subsidies for the corresponding actions:
In order to link information about the caregiver's time spent with individual tasks with clients and the functionalities of technologies for seniors, a non-standardized interview was conducted with seven people in the field of social care. The main task was to find out to what extent they consider the given technology to be beneficial for the given operation (Table 3) and to express this rate in percentages. The interviews took place in February 2021. The technology was introduced using a short video of the product, and the interview was conducted. Table 3 presents the averages of all responses in each cell.
Table 3 Individual SD efficiencies for considered ADLs.
Five technologies were selected for the case study, with a direct link to ADL activities, so that it was possible to express the link to the observed variables in the model. Description of these technologies is provided below:
UPWalker is a mobility and standing support roller, designed by Prostar Inc., a Delaware-based company. Jaco Robotic Arm Manufactured by Kinova, a robotics company based in Quebec Canada, the Jaco range of robotic arms are some of the most useful ADL wares today, and have been researched to improve psychosocial ability of users (Beaudoin et al., 2019). In the realm of intelligent hygiene management, the Poseidon shower system performs care functions of assisting patients with bathing. The Human Support Robot (HSR) developed by Japanese corporation Toyota in 2012 is identified as one of the company’s commitment toward the country’s ageing population (RobotIEEE, 2017). The robot can carry out several features including communication, picking, lifting, and a few other ADLs (Yamamoto et al., 2018). As part of its quest toward R&D in innovative mobility, Honda corporation developed an assistive walking device.