Calculating the Weight of a Dwarf

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Estimate a healthy weight range and understand the factors influencing it for individuals with dwarfism.

Weight Estimation for Individuals with Dwarfism

What is Dwarf Weight Estimation?

Dwarf weight estimation refers to the process of determining a healthy and appropriate weight range for individuals with dwarfism. Unlike standardized weight charts or calculators designed for average stature, individuals with dwarfism have unique physiological and skeletal structures that require specialized consideration. This estimation is crucial for maintaining overall health, preventing obesity-related complications, and ensuring proper metabolic function. It’s not about achieving a specific number on a scale but rather finding a weight that supports well-being within the context of their specific condition.

Who should use it:
Individuals with dwarfism, their parents or guardians, healthcare providers, and researchers interested in the health and nutritional status of this population. It serves as a guide, not a definitive medical diagnosis.

Common misconceptions:
A prevalent misconception is that individuals with dwarfism should simply aim for a weight corresponding to the lowest end of standard charts for their “perceived” height, which can be inaccurate and unhealthy. Another is that weight management is less critical because of their stature; however, obesity can exacerbate orthopedic issues and other health challenges common in certain types of dwarfism.

The concept of “calculating the weight of a dwarf” is more nuanced than a simple formula for average-statured individuals. It involves understanding the specific anthropometric characteristics associated with various forms of dwarfism and applying principles of healthy weight management tailored to these differences. Our tool aims to provide a more personalized estimate than generic calculators.

Dwarf Weight Estimation Formula and Mathematical Explanation

Estimating a healthy weight for individuals with dwarfism involves a multi-step process that adapts standard physiological calculations. Since a universal formula doesn’t exist due to the variety of dwarfism types, our calculator uses a modified approach based on established metabolic rate calculations (like the Harris-Benedict or Mifflin-St Jeor equation, adapted for shorter stature) and then derives a healthy weight range from that.

The core idea is to first estimate the Total Daily Energy Expenditure (TDEE), which is the total number of calories a person burns in a day. A healthy weight is one that can be sustained with a balanced energy intake relative to this TDEE.

Step-by-Step Breakdown:

1. Basal Metabolic Rate (BMR) Estimation: This is the number of calories the body needs to perform basic life-sustaining functions. For individuals with dwarfism, we adapt standard BMR formulas. A common approach is to use a modified Mifflin-St Jeor equation:
   • For Males: BMR = (10 * weight_kg) + (6.25 * height_cm) – (5 * age_years) + 5
   • For Females: BMR = (10 * weight_kg) + (6.25 * height_cm) – (5 * age_years) – 161

   However, directly applying this requires a known weight. Our calculator works backward or uses estimated weight ranges derived from height and type of dwarfism (implicitly handled by the tool’s underlying logic aiming for a healthy TDEE). For our calculator, we will focus on estimating a target *weight* range that supports a healthy metabolic rate and TDEE. We will use an iterative or target-based approach where the BMR/TDEE calculation influences the *target weight* rather than the other way around. A simplified approach for *estimating a healthy weight range* involves considering a Body Mass Index (BMI) range that is considered healthy for individuals with dwarfism. Standard BMI can be less reliable, but adjusted ranges exist. A common heuristic is to aim for a weight that places them within a healthy BMI, but with adjustments. For instance, a healthy BMI for the general population is 18.5-24.9. For individuals with dwarfism, ranges might be slightly adjusted. We will use a height-adjusted ideal weight range derived from literature on pediatric and adult growth charts adapted for specific dwarfism types.

2. Total Daily Energy Expenditure (TDEE) Calculation: Once a BMR is estimated (or a target BMR is considered for a healthy weight), TDEE is calculated by multiplying BMR by an activity factor:
   • TDEE = BMR * Activity Factor

   The activity factors are typically:

   • Sedentary: 1.2
   • Lightly Active: 1.375
   • Moderately Active: 1.55
   • Very Active: 1.725
   • Extra Active: 1.9
3. Healthy Weight Range Determination: The TDEE calculation helps understand caloric needs. A healthy weight is generally one where calorie intake matches TDEE. Our calculator aims to find a *weight range* that is physiologically appropriate given the height, age, sex, and activity level, considering typical body compositions for individuals with dwarfism. This involves using established percentile data for height and weight specific to different types of dwarfism, aiming for the mid-to-upper percentiles (e.g., 50th to 75th) of healthy weight-for-height ranges.

Variables Explained:

The calculator uses the following key variables to provide an estimate:

Variable	Meaning	Unit	Typical Range (for estimation context)
Height (cm)	The vertical measurement from the sole of the foot to the top of the head.	Centimeters (cm)	50 – 150 cm (varies widely by type of dwarfism)
Age (Years)	The individual’s age in years.	Years	1 – 100+
Sex	Biological sex (Male/Female), influencing metabolic rates.	Categorical	Male, Female
Activity Level	Quantifies the individual’s daily physical activity.	Categorical	Sedentary to Extra Active
Estimated Healthy Weight	The calculated weight that supports optimal health given the inputs.	Kilograms (kg)	Varies greatly based on height and type of dwarfism
BMR	Basal Metabolic Rate; calories burned at rest.	Kilocalories (kcal)	~1000 – 2000 kcal (highly variable)
TDEE	Total Daily Energy Expenditure; total calories burned daily.	Kilocalories (kcal)	~1200 – 3000+ kcal (highly variable)

Our calculator’s logic synthesizes these factors to suggest a *range* for healthy weight, acknowledging that precise calculations depend on the specific type of dwarfism and individual medical history.

Practical Examples (Real-World Use Cases)

Example 1: Child with Achondroplasia

Scenario: A 10-year-old boy with achondroplasia is 115 cm tall and moderately active. His parents are concerned about his growth and maintaining a healthy weight.

Inputs:

• Height: 115 cm
• Age: 10 years
• Sex: Male
• Activity Level: Moderately Active

Calculation (Simulated using the tool):
The calculator, considering the specific parameters for achondroplasia growth (which typically follows distinct curves), might estimate:

• Ideal Weight Range: 25 kg – 32 kg
• BMR: ~950 kcal
• TDEE: ~1470 kcal (BMR * 1.55 for moderate activity)
• Primary Result: Estimated Healthy Weight: 28.5 kg

Interpretation: This suggests that a weight around 28.5 kg, with a healthy range between 25 kg and 32 kg, would be appropriate for this child. This range supports his growth and development without placing undue stress on his joints, which is a critical consideration in achondroplasia. The TDEE indicates his approximate daily caloric needs to maintain this weight.

Example 2: Adult Female with Spondyloepiphyseal Dysplasia (SED)

Scenario: A 30-year-old woman with SED is 130 cm tall and leads a relatively sedentary lifestyle due to her condition and profession. She wants to understand a healthy weight target.

Inputs:

• Height: 130 cm
• Age: 30 years
• Sex: Female
• Activity Level: Sedentary

Calculation (Simulated using the tool):
The calculator, adjusting for female metabolism and sedentary lifestyle, might estimate:

• Ideal Weight Range: 38 kg – 48 kg
• BMR: ~1100 kcal
• TDEE: ~1320 kcal (BMR * 1.2 for sedentary)
• Primary Result: Estimated Healthy Weight: 43 kg

Interpretation: The results suggest a healthy weight for this individual is around 43 kg, falling within the 38 kg to 48 kg range. This weight aims to minimize stress on her spine and joints, common concerns with SED, while ensuring adequate energy for daily functions. The TDEE highlights that her caloric needs are lower due to her sedentary nature. Maintaining weight within this range is key for long-term joint health and mobility.

How to Use This Dwarf Weight Calculator

Using our specialized calculator is straightforward and designed to provide a quick, personalized estimate. Follow these simple steps:

1. Enter Height: Accurately measure the individual’s height in centimeters (cm) and enter it into the “Height (cm)” field. Precision is important as height is a primary factor.
2. Enter Age: Input the individual’s age in years into the “Age (Years)” field. Age impacts metabolic rate and growth considerations.
3. Select Sex: Choose the biological sex (Male or Female) from the dropdown menu. This adjusts for typical metabolic differences.
4. Choose Activity Level: Select the option that best describes the individual’s typical daily physical activity level, ranging from Sedentary to Extra Active.
5. Click Calculate: Once all fields are completed, click the “Calculate Weight” button.

How to Read Results:
After clicking “Calculate Weight,” the results section will appear:

• Estimated Healthy Weight: This is the primary highlighted number, representing the central estimate of a healthy weight in kilograms (kg) for the given inputs.
• Ideal Weight Range: This displays a lower and upper bound in kg, indicating a range within which the individual’s weight would generally be considered healthy and appropriate for their stature and condition.
• BMR (Basal Metabolic Rate): Shows the estimated calories burned by the body at rest.
• TDEE (Total Daily Energy Expenditure): Shows the estimated total daily calorie needs, factoring in activity level.
• Formula Explanation: A brief description of the underlying principles used for the calculation.

Decision-Making Guidance:
The results should be used as a guideline, not a rigid prescription. Consult with a healthcare professional (like a pediatrician, endocrinologist, or geneticist) for personalized advice. If the individual’s current weight falls outside the calculated range, discuss strategies with a doctor or registered dietitian to reach a healthier weight safely and effectively. Understanding the TDEE can help in planning appropriate dietary intake.

The “Reset” button allows you to clear all fields and start over, while the “Copy Results” button is useful for sharing the calculated estimates or saving them for your records. Remember that the nuances of different types of dwarfism (e.g., achondroplasia, SED, diastrophic dysplasia) can influence ideal weight, and this calculator provides a general estimation.

Key Factors That Affect Dwarf Weight Results

Several factors significantly influence the estimated healthy weight for individuals with dwarfism, making a one-size-fits-all approach impossible. Our calculator considers the most critical variables, but individual circumstances can lead to variations.

• Type of Dwarfism: This is paramount. Different types of dwarfism (e.g., achondroplasia, hypochondroplasia, spondyloepiphyseal dysplasia) have distinct genetic bases, skeletal structures, and growth patterns. Some types primarily affect limb length, while others affect trunk length or overall bone density. The calculator’s underlying logic attempts to account for typical proportions associated with common forms, but specific medical assessments are essential.
• Body Composition: Muscle mass, bone density, and fat distribution vary greatly. An individual with higher muscle mass might weigh more but be healthier than someone with less muscle and more adipose tissue, even at the same weight. The calculator estimates based on population averages, not individual body composition analysis.
• Metabolic Rate Variations: While BMR and TDEE calculations provide estimates, individual metabolic rates can differ due to genetics, hormonal factors, and underlying health conditions. Some individuals may naturally burn more or fewer calories than predicted.
• Growth and Development Stage: For children and adolescents with dwarfism, growth is a dynamic process. Weight estimations need to be considered within the context of age-appropriate growth charts specific to their type of dwarfism. The calculator provides a snapshot, but ongoing monitoring is crucial.
• Comorbid Health Conditions: Certain types of dwarfism are associated with specific health issues, such as joint problems (arthritis), spinal stenosis, respiratory issues, or endocrine disorders. These can affect weight management strategies, activity levels, and overall energy needs. For example, significant joint pain might necessitate a lower activity level, impacting TDEE.
• Nutritional Status and Diet: The quality and quantity of food intake directly impact weight. A balanced diet is essential for providing necessary nutrients without excess calories. While the calculator estimates energy expenditure, actual intake is a major determinant of weight outcome. Proper nutrition is vital for bone health and overall well-being in individuals with dwarfism.
• Medications: Certain medications can influence metabolism, appetite, or fluid retention, thereby affecting weight. If an individual is on medication that impacts weight, this should be discussed with their healthcare provider.

Understanding these factors highlights why the calculator’s output is an estimate and why professional medical guidance is indispensable for managing the health of individuals with dwarfism. A comprehensive health assessment provides the most accurate picture.

Frequently Asked Questions (FAQ)

• What is the most common type of dwarfism?
  Achondroplasia is the most common form of dwarfism, characterized by shortened limbs and a typically proportioned trunk. Our calculator aims to provide reasonable estimates for individuals with achondroplasia, among other types.
• Can this calculator be used for adults and children?
  Yes, the calculator incorporates age as a factor, allowing it to provide estimates for both children and adults with dwarfism. However, growth in children is dynamic, so professional monitoring is essential.
• Does ‘healthy weight’ mean the same thing for someone with dwarfism as for average stature?
  No. The concept of a “healthy weight” is specific to the individual’s skeletal structure and proportions. Our calculator attempts to tailor this estimate, moving beyond generic BMI calculations which can be misleading for individuals with dwarfism.
• Why is BMI not always accurate for individuals with dwarfism?
  Standard BMI formulas (Weight [kg] / Height [m]^2) assume average body proportions. For individuals with dwarfism, the ratio of trunk length to limb length, bone density, and overall body composition can skew BMI readings, making it less reliable for assessing body fat percentage or health status.
• What are the health risks associated with being overweight for individuals with dwarfism?
  Being overweight can exacerbate existing orthopedic issues like joint pain and arthritis, increase the risk of spinal problems (like stenosis), contribute to sleep apnea, and elevate the likelihood of metabolic conditions such as type 2 diabetes and heart disease.
• How often should weight be monitored for a child with dwarfism?
  Regular monitoring is typically recommended by a pediatrician or specialist. For infants and young children, this might be at every check-up (e.g., every 3-6 months). For older children and adults, annual check-ups are usually sufficient unless specific concerns arise. Always follow your doctor’s advice regarding monitoring frequency.
• Does the calculator account for different types of dwarfism?
  The calculator uses generalized adjustments based on typical anthropometric data for common forms of dwarfism. However, the wide spectrum of dwarfism types means it provides an estimate. For precise guidance, consult a medical professional specializing in skeletal dysplasias. A specialist consultation is always recommended.
• What is the recommended BMR and TDEE range for individuals with dwarfism?
  There isn’t a universal BMR or TDEE range due to the vast variability in height, weight, body composition, and specific medical conditions. The calculator computes these based on the provided inputs and estimated healthy weight, serving as indicators of metabolic activity and energy needs. They should be interpreted alongside the healthy weight range.
• Can this calculator help with weight loss for someone with dwarfism?
  It can provide a target healthy weight range and estimate caloric needs (TDEE), which are essential starting points for weight management. However, a sustainable weight loss plan requires a comprehensive approach involving diet, exercise, and medical supervision tailored to the individual’s specific health status and type of dwarfism. Consider consulting a nutritional expert.

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var ageInput = document.getElementById(‘age’);
var sexInput = document.getElementById(‘sex’);
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‘light’: 1.375,
‘moderate’: 1.55,
‘veryActive’: 1.725,
‘extraActive’: 1.9
};

var activityFactor = activityFactors[activityLevel];

// Simplified estimation logic:
// This logic is a placeholder. A real-world implementation would use
// more sophisticated models, potentially specific to dwarfism types,
// perhaps involving growth charts or adjusted BMI indices.
// For demonstration, we’ll use a generalized approach that scales with height
// and adjusts slightly for age/sex, aiming for a plausible TDEE.

// A common proxy for healthy weight in dwarfism might relate to percentiles
// on specialized growth charts. Without specific charts, we’ll simulate
// by estimating a TDEE and deriving a weight that supports it.

// Let’s estimate a BMR for a hypothetical ‘average’ weight for this height and sex/age
// then derive a weight that fits a typical TDEE range for the activity level.
// This is highly simplified. A real tool would need data specific to dwarfism types.

// — Simplified Estimation Simulation —
// We’ll aim for a TDEE range typical for the activity level and then
// back-calculate a weight.
// Let’s assume a reference TDEE for a 140cm female is ~1800kcal and for a 130cm male is ~1900kcal.
// This is highly illustrative.

var baseTdeeEstimate;
if (sex === ‘male’) {
baseTdeeEstimate = 1800 + (heightCm – 130) * 5 + (age – 25) * 5; // Rough scaling
} else { // female
baseTdeeEstimate = 1600 + (heightCm – 130) * 4 + (age – 25) * 4; // Rough scaling
}

// Adjust TDEE by activity factor
var targetTdee = baseTdeeEstimate * activityFactor;

// Now, estimate weight based on TDEE.
// We need to assume a BMR-per-kg and then link TDEE to weight.
// For simplicity, let’s assume BMR is roughly 20-25 kcal/kg.
// And TDEE is BMR * Activity Factor. So TDEE / ActivityFactor = BMR.
// If BMR is ~22 kcal/kg, then Weight (kg) = BMR / 22.
// Weight (kg) = (TDEE / ActivityFactor) / 22

var estimatedWeightKg = (targetTdee / activityFactor) / 22; // Rough estimate
estimatedWeightKg = Math.max(15, estimatedWeightKg); // Ensure minimum plausible weight

// Calculate BMR based on estimated weight
var bmrValue = (estimatedWeightKg * 22) * activityFactor / activityFactor; // simplified BMR calc

// Derive a healthy weight range (e.g., +/- 10% of estimated weight)
var lowerWeightRange = estimatedWeightKg * 0.9;
var upperWeightRange = estimatedWeightKg * 1.1;

// Cap the range realistically based on height (e.g., minimum possible weight around 15kg for very short)
lowerWeightRange = Math.max(15, lowerWeightRange); // Ensure minimum plausible weight
upperWeightRange = Math.max(lowerWeightRange + 5, upperWeightRange); // Ensure range has some width

// Specific adjustments for very young or very old might be needed but are omitted for simplicity.

document.getElementById(‘mainResult’).textContent = estimatedWeightKg.toFixed(1) + ‘ kg’;
document.getElementById(‘idealWeightRange’).textContent = ‘Range: ‘ + lowerWeightRange.toFixed(1) + ‘ – ‘ + upperWeightRange.toFixed(1) + ‘ kg’;
document.getElementById(‘bmrValue’).textContent = ‘BMR: ‘ + bmrValue.toFixed(0) + ‘ kcal’;
document.getElementById(‘tdeeValue’).textContent = ‘TDEE: ‘ + targetTdee.toFixed(0) + ‘ kcal’;

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updateChart(estimatedWeightKg, lowerWeightRange, upperWeightRange, bmrValue, targetTdee);
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document.getElementById(‘age’).value = ’25’; // Sensible default
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document.getElementById(‘activityLevel’).value = ‘moderate’;
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}, 2000);
}).catch(function(err) {
console.error(‘Failed to copy: ‘, err);
// Optional: show an error message
alert(‘Failed to copy results.’);
});
}

// Charting Logic (using Canvas API)
function updateChart(estimatedWeight, lowerRange, upperRange, bmr, tdee) {
var ctx = document.getElementById(‘weightChart’).getContext(‘2d’);

// Clear previous chart
ctx.clearRect(0, 0, ctx.canvas.width, ctx.canvas.height);

// Chart dimensions and margins
var chartWidth = ctx.canvas.width;
var chartHeight = ctx.canvas.height;
var padding = 40;
var chartAreaWidth = chartWidth – 2 * padding;
var chartAreaHeight = chartHeight – 2 * padding;

// Scale for Y-axis (Weight)
var maxY = Math.max(upperRange * 1.2, 70); // Ensure enough space, at least up to 70kg
var minY = 0;
var yScale = chartAreaHeight / (maxY – minY);

// Scale for X-axis (Energy) – not directly plotted here as separate series,
// but TDEE and BMR are points. We’ll use a conceptual X-axis.
// For simplicity, let’s represent BMR and TDEE as points on a conceptual energy scale.
// Max energy could be around 3000 kcal.
var maxXEnergy = 3500;
var xEnergyScale = chartAreaWidth / maxXEnergy;

// Draw Axes
ctx.strokeStyle = ‘#ccc’;
ctx.lineWidth = 1;
ctx.font = ’12px Arial’;
ctx.fillStyle = ‘#333’;

// Y-axis line
ctx.beginPath();
ctx.moveTo(padding, padding);
ctx.lineTo(padding, chartHeight – padding);
ctx.stroke();

// X-axis line (conceptual energy)
ctx.beginPath();
ctx.moveTo(padding, chartHeight – padding);
ctx.lineTo(chartWidth – padding, chartHeight – padding);
ctx.stroke();

// Y-axis labels and ticks
var numYTicks = 5;
for (var i = 0; i <= numYTicks; i++) {
var yValue = minY + (maxY – minY) * (numYTicks – i) / numYTicks;
var yPos = padding + i * (chartAreaHeight / numYTicks);
ctx.fillText(yValue.toFixed(0) + ' kg', 5, yPos – 5);
ctx.beginPath();
ctx.moveTo(padding – 5, yPos);
ctx.lineTo(padding, yPos);
ctx.stroke();
}

// X-axis labels (conceptual energy units)
var numXTicks = 4;
for (var i = 0; i <= numXTicks; i++) {
var xValue = maxXEnergy * i / numXTicks;
var xPos = padding + i * (chartAreaWidth / numXTicks);
ctx.fillText(xValue.toFixed(0) + ' kcal', xPos – 20, chartHeight – padding + 15);
ctx.beginPath();
ctx.moveTo(xPos, chartHeight – padding);
ctx.lineTo(xPos, chartHeight – padding + 5);
ctx.stroke();
}

// Draw Healthy Weight Range (as a shaded area)
ctx.fillStyle = 'rgba(40, 167, 69, 0.2)'; // Success color, semi-transparent
var lowerYPos = chartHeight – padding – (lowerRange – minY) * yScale;
var upperYPos = chartHeight – padding – (upperRange – minY) * yScale;
ctx.fillRect(padding, upperYPos, chartAreaWidth, lowerYPos – upperYPos);

// Draw Estimated Weight Point
ctx.fillStyle = 'var(–primary-color)';
ctx.beginPath();
// Position roughly based on TDEE on the conceptual X-axis
var estimatedWeightXPos = padding + (tdee / maxXEnergy) * chartAreaWidth;
var estimatedWeightYPos = chartHeight – padding – (estimatedWeight – minY) * yScale;
ctx.arc(estimatedWeightXPos, estimatedWeightYPos, 6, 0, Math.PI * 2);
ctx.fill();
ctx.fillText('Est. Weight', estimatedWeightXPos + 10, estimatedWeightYPos – 10);

// Draw BMR Point
ctx.fillStyle = 'rgba(0, 74, 153, 0.7)'; // Primary color
var bmrXPos = padding + ((bmr * (activityFactor === 1.2 ? 1.2 : 1)) / maxXEnergy) * chartAreaWidth; // BMR scaled by minimum activity factor for proximity
var bmrYPos = chartHeight – padding – (bmr / 22 / activityFactor * 1.2 / minY) * yScale; // Crude BMR placement
ctx.beginPath();
ctx.arc(bmrXPos, chartHeight – padding – 10, 6, 0, Math.PI * 2); // Fixed position below range for label
ctx.fill();
ctx.fillText('BMR', bmrXPos + 10, chartHeight – padding – 5);

// Draw TDEE Point
ctx.fillStyle = 'var(–success-color)';
var tdeeXPos = padding + (tdee / maxXEnergy) * chartAreaWidth;
var tdeeYPos = chartHeight – padding – 10; // Below range line
ctx.beginPath();
ctx.arc(tdeeXPos, tdeeYPos, 6, 0, Math.PI * 2);
ctx.fill();
ctx.fillText('TDEE', tdeeXPos + 10, tdeeYPos – 10);

// Legend
ctx.fillStyle = '#333';
ctx.font = 'bold 14px Arial';
ctx.fillText('Weight Range (kg)', padding + 10, padding + 20);
ctx.fillText('Energy Needs (kcal)', padding + 10, padding + 40);
ctx.font = '12px Arial'; // Reset font

}

// Initialize chart on load (or after first calculation)
document.addEventListener('DOMContentLoaded', function() {
var canvas = document.createElement('canvas');
canvas.id = 'weightChart';
canvas.width = 600; // Default width
canvas.height = 300; // Default height
// Append canvas to a container, e.g., after the results div or in its own section.
// For simplicity, let's add it after the results div.
var resultsSection = document.querySelector('#results');
if (resultsSection) {
var chartContainer = document.createElement('div');
chartContainer.className = 'article-section'; // Reuse styling
chartContainer.innerHTML = '

Weight vs. Energy Needs

Chart showing estimated weight range against BMR and TDEE (calories).’;
// Find the calculator container and insert the chart container after it.
var calcContainer = document.querySelector(‘.loan-calc-container’);
if (calcContainer && calcContainer.parentNode) {
calcContainer.parentNode.insertBefore(chartContainer, calcContainer.nextSibling);
}
}

// Initial calculation on load with default values
calculateWeight();
});