Life Table Survivorship Lx Calculator

Life-table lower case l(next)=l(current)−actualintervaldeathsd, not uppercaseLpersonyears or life expectancy; actual nonnegative ordered counts.

Description

Life-table survivorship subtracts interval deaths from beginning survivors.

Life-table survivorship subtracts interval deaths from beginning survivors.1

Lowercase l counts survivors, while uppercase L describes person-years lived. The calculation and input requirements are explained below.

When to use Life Table Survivorship Lx Calculator

Enter nonnegative beginning survivors and interval deaths.

How to use Life Table Survivorship Lx Calculator and how it works

  1. Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
  2. Enter the required fields and run Life Table Survivorship Lx Calculator.
  3. Read the result fields using the formula, output units, signs and ordering explained below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
actualBeginningIntervalSurvivorsActual Beginning Interval Survivors. Use the units and matching context stated in the calculation below.numberRequired; nonnegative; finite; other constraints below
actualIntervalDeathsActual Interval Deaths. Use the units and matching context stated in the calculation below.numberRequired; nonnegative; finite; other constraints below

Enter nonnegative beginning survivors and interval deaths. Deaths cannot exceed survivors. Subtract deaths to obtain ending survivorship; fractional finite inputs are accepted by this arithmetic branch.

endingSurvivors=beginningSurvivors-intervalDeaths

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueNumeric result under the formula and output units explained above.number
json
{
  "input": {
    "actualBeginningIntervalSurvivors": 10,
    "actualIntervalDeaths": 2
  },
  "output": {
    "result": {
      "value": 8
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Life Expectancy at Birth Calculator for a complementary operation: Life expectancy at birth divides total life-table person-years by the starting radix.

Use Cohort Component Projection Calculator for a complementary operation: A cohort-component step applies survival and aging transitions to a population vector.

References

  1. Life Table Survivorship Lx Calculator — tool.io

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